Steel and Composite Structures

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A new simple shear and normal deformations theory for functionally graded beams

  • Bourada, Mohamed (Material and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Technology, Civil Engineering Department) ;
  • Kaci, Abdelhakim (Material and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Technology, Civil Engineering Department) ;
  • Houari, Mohammed Sid Ahmed (Material and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Technology, Civil Engineering Department) ;
  • Tounsi, Abdelouahed (Material and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Technology, Civil Engineering Department)
  • Received : 2014.04.30
  • Accepted : 2014.07.27
  • Published : 2015.02.25
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Abstract

In the present work, a simple and refined trigonometric higher-order beam theory is developed for bending and vibration of functionally graded beams. The beauty of this theory is that, in addition to modeling the displacement field with only 3 unknowns as in Timoshenko beam theory, the thickness stretching effect (${\varepsilon}_Z{\neq}0$) is also included in the present theory. Thus, the present refined beam theory has fewer number of unknowns and equations of motion than the other shear and normal deformations theories, and it considers also the transverse shear deformation effects without requiring shear correction factors. The neutral surface position for such beams in which the material properties vary in the thickness direction is determined. Based on the present refined trigonometric higher-order beam theory and the neutral surface concept, the equations of motion are derived from Hamilton's principle. Numerical results of the present theory are compared with other theories to show the effect of the inclusion of transverse normal strain on the deflections and stresses.

Keywords

References

  1. Ait Amar Meziane, M., Abdelaziz, H.H. and Tounsi, A. (2014), "An efficient and simple refined theory for buckling and free vibration of exponentially graded sandwich plates under various boundary conditions", J. Sandw. Struct. Mater., 16(3), 293-318. https://doi.org/10.1177/1099636214526852
  2. Amara, K., Tounsi, A., Mechab, I. and Adda Bedia, E.A. (2010), "Nonlocal elasticity effect on column buckling of multiwalled carbon nanotubes under temperature field", Appl. Math. Model., 34(12), 3933-3942. https://doi.org/10.1016/j.apm.2010.03.029
  3. Bachir Bouiadjra, M., Houari, M.S.A. and Tounsi, A. (2012), "Thermal buckling of functionally graded plates according to a four-variable refined plate theory", J. Therm. Stresses, 35(8), 677-694. https://doi.org/10.1080/01495739.2012.688665
  4. Bachir Bouiadjra, R., Adda Bedia, E.A. and Tounsi, A. (2013), "Nonlinear thermal buckling behavior of functionally graded plates using an efficient sinusoidal shear deformation theory", Struct. Eng. Mech., Int. J., 48(4), 547-567. https://doi.org/10.12989/sem.2013.48.4.547
  5. Belabed, Z., Houari, M.S.A., Tounsi, A., Mahmoud, S.R. and Anwar Beg, O. (2014), "An efficient and simple higher order shear and normal deformation theory for functionally graded material (FGM) plates", Compos.: Part B, 60, 274-283. https://doi.org/10.1016/j.compositesb.2013.12.057
  6. Benachour, A., Daouadji Tahar, H., Ait Atmane, H., Tounsi, A. and Meftah, S.A. (2011), "A four variable refined plate theory for free vibrations of functionally graded plates with arbitrary gradient", Compos. Part B, 42(6), 1386-1394. https://doi.org/10.1016/j.compositesb.2011.05.032
  7. Benatta, M.A., Mechab, I., Tounsi, A. and Adda Bedia, E.A. (2008), "Static analysis of functionally graded short beams including warping and shear deformation effects", Comput. Mater. Sci., 44(2), 765-773. https://doi.org/10.1016/j.commatsci.2008.05.020
  8. Benzair, A., Tounsi, A., Besseghier, A., Heireche, H., Moulay, N. and Boumia, L. (2008), "The thermal effect on vibration of single-walled carbon nanotubes using nonlocal Timoshenko beam theory", Journal of Physics D: Appl. Phys., 41(22), 225404. https://doi.org/10.1088/0022-3727/41/22/225404
  9. Berrabah, H.M., Tounsi, A., Semmah, A. and Adda Bedia, E.A. (2013), "Comparison of various refined nonlocal beam theories for bending, vibration and buckling analysis of nanobeams", Struct. Eng. Mech., Int. J., 48(3), 351-365. https://doi.org/10.12989/sem.2013.48.3.351
  10. Bessaim, A., Houari, M.S.A., Tounsi, A., Mahmoud, S.R. and Adda Bedia, E.A. (2013), "A new higher-order shear and normal deformation theory for the static and free vibration analysis of sandwich plates with functionally graded isotropic face sheets", J. Sandw. Struct. Mater., 15(6), 671-703. https://doi.org/10.1177/1099636213498888
  11. Bouderba, B., Houari, M.S.A. and Tounsi, A. (2013), "Thermomechanical bending response of FGM thick plates resting on Winkler-Pasternak elastic foundations", Steel Compos. Struct., Int. J., 14(1), 85-104. https://doi.org/10.12989/scs.2013.14.1.085
  12. Bourada, M., Tounsi, A., Houari, M.S.A. and Adda Bedia, E.A. (2012), "A new four-variable refined plate theory for thermal buckling analysis of functionally graded sandwich plates", J. Sandw. Struct. Mater., 14(1), 5-33. https://doi.org/10.1177/1099636211426386
  13. Bouremana, M., Houari, M.S.A., Tounsi, A., Kaci, A. and Adda Bedia, E.A. (2013), "A new first shear deformation beam theory based on neutral surface position for functionally graded beams", Steel Compos. Struct., Int. J., 15(5), 467-479. https://doi.org/10.12989/scs.2013.15.5.467
  14. Bousahla, A.A., Houari, M.S.A., Tounsi, A. and Adda Bedia, E.A. (2014), "A novel higher order shear and normal deformation theory based on neutral surface position for bending analysis of advanced composite plates", Int. J. Comput. Method., 11(6), 1350082. https://doi.org/10.1142/S0219876213500825
  15. Carrera, E. (2003), "Theories and finite elements for multilayered plates and shells: a unified compact formulation with numerical assessment and benchmarking", Arch. Comput. Meth. Eng., 10(3), 215-296. https://doi.org/10.1007/BF02736224
  16. Carrera, E., Giunta, G. and Petrolo, M. (2011a), Beam Structures: Classical and Advanced Theories, John Wiley & Sons, Ltd., West Sussex, UK.
  17. Carrera, E., Brischetto, S., Cinefra, M. and Soave, M. (2011b), "Effects of thickness stretching in functionally graded plates and shells", Compos. Part B: Eng., 42(2), 123-133. https://doi.org/10.1016/j.compositesb.2010.10.005
  18. Chakraborty, A., Gopalakrishnan, S. and Reddy, J.N. (2003), "A new beam finite element for the analysis of functionally graded materials", Int. J. Mech. Sci., 45(3), 519-539. https://doi.org/10.1016/S0020-7403(03)00058-4
  19. Draiche, K., Tounsi, A. and Khalfi, Y. (2014), "A trigonometric four variable plate theory for free vibration of rectangular composite plates with patch mass", Steel Compos. Struct., Int. J., 17(1), 69-81. https://doi.org/10.12989/scs.2014.17.1.069
  20. El Meiche, N., Tounsi, A., Ziane, N., Mechab, I. and Adda Bedia, E.A. (2011), "A new hyperbolic shear deformation theory for buckling and vibration of functionally graded sandwich plate", Int. J. Mech. Sci., 53(4), 237-247. https://doi.org/10.1016/j.ijmecsci.2011.01.004
  21. Fekrar, A., El Meiche, N., Bessaim, A., Tounsi, A. and Adda Bedia, E.A. (2012), "Buckling analysis of functionally graded hybrid composite plates using a new four variable refined plate theory", Steel Compos. Struct., Int. J., 13(1), 91-107. https://doi.org/10.12989/scs.2012.13.1.091
  22. Fekrar, A., Houari, M.S.A., Tounsi, A. and Mahmoud, S.R. (2014), "A new five-unknown refined theory based on neutral surface position for bending analysis of exponential graded plates", Meccanica, 49(4), 795-810. https://doi.org/10.1007/s11012-013-9827-3
  23. Grover, N., Maiti, D.K. and Singh, B.N. (2013), "A new inverse hyperbolic shear deformation theory for static and buckling analysis of laminated composite and sandwich plates", Compos. Struct., 95, 667-675. https://doi.org/10.1016/j.compstruct.2012.08.012
  24. Hadji, L., Daouadji, T.H., Tounsi, A. and Adda Bedia, E.A. (2014), "A higher order shear deformation theory for static and free vibration of FGM beam", Steel Compos. Struct., Int. J., 16(5), 507-519. https://doi.org/10.12989/scs.2014.16.5.507
  25. Hebali, H., Tounsi, A., Houari, M.S.A., Bessaim, A. and Adda Bedia, E.A. (2014), "New quasi-3D hyperbolic shear deformation theory for the static and free vibration analysis of functionally graded plates", J. Eng. Mech., ASCE, 140(2), 374-383. https://doi.org/10.1061/(ASCE)EM.1943-7889.0000665
  26. Heireche, H., Tounsi, A., Benzair, A., Maachou, M. and Adda Bedia, E.A. (2008), "Sound wave propagation in single-walled carbon nanotubes using nonlocal elasticity", Physica E, 40(8), 2791-2799. https://doi.org/10.1016/j.physe.2007.12.021
  27. Houari, M.S.A., Tounsi, A. and Anwar Beg, O. (2013), "Thermoelastic bending analysis of functionally graded sandwich plates using a new higher order shear and normal deformation theory", Int. J. Mech. Sci., 76, 102-111. https://doi.org/10.1016/j.ijmecsci.2013.09.004
  28. Kadoli, R., Akhtar, K. and Ganesan, N. (2008), "Static analysis of functionally graded beams using higher order shear deformation theory", Appl. Math. Model., 32(12), 2509-2525. https://doi.org/10.1016/j.apm.2007.09.015
  29. Karama, M., Afaq, K.S. and Mistou, S. (2003), "Mechanical behaviour of laminated composite beam by the new multi-layered laminated composite structures model with transverse shear stress continuity", Int. J. Solids Struct., 40(6), 1525-1546. https://doi.org/10.1016/S0020-7683(02)00647-9
  30. Kettaf, F.Z., Houari, M.S.A., Benguediab, M. and Tounsi, A. (2013), "Thermal buckling of functionally graded sandwich plates using a new hyperbolic shear displacement model", Steel Compos. Struct., Int. J., 15(4), 399-423. https://doi.org/10.12989/scs.2013.15.4.399
  31. Klouche Djedid, I., Benachour, A., Houari, M.S.A., Tounsi, A. and Ameur, M. (2014), "A n-order four variable refined theory for bending and free vibration of functionally graded plates", Steel Compos. Struct., Int. J., 17(1), 21-46. https://doi.org/10.12989/scs.2014.17.1.021
  32. Koiter, W.T. (1959), "A consistent first approximation in the general theory of thin elastic shells", Proceedings of first symposium on the theory of thin elastic shells, Delft, Netherlands, August.
  33. Li, X.F. (2008), "A unified approach for analyzing static and dynamic behaviors of functionally graded Timoshenko and Euler-Bernoulli beams", J. Sound Vib., 318(4-5), 1210-1229. https://doi.org/10.1016/j.jsv.2008.04.056
  34. Li, X.F., Wang, B.L. and Han, J.C. (2010), "A higher-order theory for static and dynamic analyses of functionally graded beams", Arch. Appl. Mech., 80(10), 1197-1212. https://doi.org/10.1007/s00419-010-0435-6
  35. Mahi, A., Adda Bedia, E.A., Tounsi, A. and Mechab, I. (2010), "An analytical method for temperaturedependent free vibration analysis of functionally graded beams with general boundary conditions", Compos. Struct., 92(8), 1877-1887. https://doi.org/10.1016/j.compstruct.2010.01.010
  36. Morimoto, T., Tanigawa, Y. and Kawamura, R. (2006), "Thermal buckling of functionally graded rectangular plates subjected to partial heating", Int. J. Mech. Sci., 48(9), 926-937. https://doi.org/10.1016/j.ijmecsci.2006.03.015
  37. Ould Larbi, L., Kaci, A., Houari, M.S.A. and Tounsi, A. (2013), "An efficient shear deformation beam theory based on neutral surface position for bending and free vibration of functionally graded beams", Mech. Based Des. Struct. Mach., 41(4), 421-433. https://doi.org/10.1080/15397734.2013.763713
  38. Reddy, J.N. (1984), "A simple higher-order theory for laminated composite plates", J. Appl. Mech., 51(4), 745-752. https://doi.org/10.1115/1.3167719
  39. Sahoo, R. and Singh, B.N. (2013), "A new inverse hyperbolic zigzag theory for the static analysis of laminated composite and sandwich plates", Compos. Struct., 105, 385-397. https://doi.org/10.1016/j.compstruct.2013.05.043
  40. Saidi, H., Houari, M.S.A., Tounsi, A. and Adda Bedia, E.A. (2013), "Thermo-mechanical bending response with stretching effect of functionally graded sandwich plates using a novel shear deformation theory", Steel Compos. Struct., Int. J., 15(2), 221-245. https://doi.org/10.12989/scs.2013.15.2.221
  41. Sallai, B.O., Tounsi, A., Mechab, I., Bachir Bouiadjra, M., Meradjah, M. and Adda Bedia, E.A. (2009), "A theoretical analysis of flexional bending of Al/Al2O3 S-FGM thick beams", Comput. Mater. Sci., 44(4), 1344-1350. https://doi.org/10.1016/j.commatsci.2008.09.001
  42. Sina, S.A., Navazi, H.M. and Haddadpour, H. (2009), "An analytical method for free vibration analysis of functionally graded beams", Mater. Des., 30(3), 741-747. https://doi.org/10.1016/j.matdes.2008.05.015
  43. Soldatos, K. (1992), "A transverse shear deformation theory for homogeneous monoclinic plates", Acta Mech., 94(3), 195-220. https://doi.org/10.1007/BF01176650
  44. Suresh, S. and Mortensen, A. (1998), Fundamentals of Functionally Graded Materials, IOM Communications Ltd., London, UK.
  45. Tounsi, A., Heireche, H., Berrabah, H.M., Benzair, A. and Boumia, L. (2008), "Effect of small size on wave propagation in double-walled carbon nanotubes under temperature field", J. Appl. Phys., 104, 104301. https://doi.org/10.1063/1.3018330
  46. Tounsi, A., Heireche, H., Benhassaini, H. and Missouri, M. (2010), "Vibration and length-dependent flexural rigidity of protein microtubules using higher order shear deformation theory", J. Theor. Biol., 266(2), 250-255. https://doi.org/10.1016/j.jtbi.2010.06.037
  47. Tounsi, A., Houari, M.S.A., Benyoucef, S. and Adda Bedia, E.A. (2013a), "A refined trigonometric shear deformation theory for thermoelastic bending of functionally graded sandwich plates", Aerosp. Sci. Technol., 24(1), 209-220. https://doi.org/10.1016/j.ast.2011.11.009
  48. Tounsi, A., Benguediab, S., Adda Bedia, E.A., Semmah, A. and Zidour, M. (2013b), "Nonlocal effects on thermal buckling properties of double-walled carbon nanotubes", Adv. Nano Res., Int. J., 1(1), 1-11. https://doi.org/10.12989/anr.2013.1.1.001
  49. Tounsi, A., Semmah, A. and Bousahla, A.A. (2013c), "Thermal buckling behavior of nanobeam using an efficient higher-order nonlocal beam theory", J. Nanomech. Micromech. (ASCE), 3(3), 37-42. https://doi.org/10.1061/(ASCE)NM.2153-5477.0000057
  50. Touratier, M. (1991), "An efficient standard plate theory", Int. J. Eng. Sci., 29(8), 901-916. https://doi.org/10.1016/0020-7225(91)90165-Y
  51. Wattanasakulpong, N., Gangadhara Prusty, B. and Kelly, D.W. (2011), "Thermal buckling and elastic vibration of third-order shear deformable functionally graded beams", Int. J. Mech. Sci., 53(9), 734-743. https://doi.org/10.1016/j.ijmecsci.2011.06.005
  52. Wei, D., Liu, Y. and Xiang, Z. (2012), "An analytical method for free vibration analysis of functionally graded beams with edge cracks", J. Sound Vib., 331(7), 1686-1700. https://doi.org/10.1016/j.jsv.2011.11.020
  53. Yahoobi, H. and Feraidoon, A. (2010), "Influence of neutral surface position on deflection of functionally graded beam under uniformly distributed load", World Appl. Sci. J., 10(3), 337-341. https://doi.org/10.3923/jas.2010.337.342
  54. Yang, J. and Chen, Y. (2008), "Free vibration and buckling analyses of functionally graded beams with edge cracks", Compos. Struct., 83(1), 48-60. https://doi.org/10.1016/j.compstruct.2007.03.006
  55. Yesilce, Y. (2010), "Effect of axial force on the free vibration of Reddy-Bickford multi- span beam carrying multiple spring-mass systems", J. Vib. Control, 16(1), 11-32. https://doi.org/10.1177/1077546309102673
  56. Yesilce, Y. and Catal, S. (2009), "Free vibration of axially loaded Reddy-Bickford beam on elastic soil using the differential transform method", Struct. Eng. Mech., Int. J., 31(4), 453-476. https://doi.org/10.12989/sem.2009.31.4.453
  57. Yesilce, Y. and Catal, H.H. (2011), "Solution of free vibration equations of semi-rigid connected Reddy-Bickford beams resting on elastic soil using the differential transform method", Arch. Appl. Mech., 81(2), 199-213. https://doi.org/10.1007/s00419-010-0405-z
  58. Zenkour, A.M. (2013), "A simple four-unknown refined theory for bending analysis of functionally graded plates", Appl. Math. Model., 37(20-21), 9041-9051. https://doi.org/10.1016/j.apm.2013.04.022
  59. Zidi, M., Tounsi, A., Houari, M.S.A., Adda Bedia, E.A. and Anwar Beg, O. (2014), "Bending analysis of FGM plates under hygro-thermo-mechanical loading using a four variable refined plate theory" Aerosp. Sci. Technol., 34, 24-34. https://doi.org/10.1016/j.ast.2014.02.001

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  51. In-plane and out-of-plane vibration modes of laminated composite beams with arbitrary lay-ups vol.66, 2017, https://doi.org/10.1016/j.ast.2017.02.027
  52. Elastic analysis effect of adhesive layer characteristics in steel beam strengthened with a fiber-reinforced polymer plates vol.59, pp.1, 2016, https://doi.org/10.12989/sem.2016.59.1.083
  53. Buckling analysis on the bi-dimensional functionally graded porous tapered nano-/micro-scale beams vol.66, 2017, https://doi.org/10.1016/j.ast.2017.02.019
  54. Thermomechanical effects on the bending of antisymmetric cross-ply composite plates using a four variable sinusoidal theory vol.19, pp.1, 2015, https://doi.org/10.12989/scs.2015.19.1.093
  55. A unified formulation for dynamic analysis of nonlocal heterogeneous nanobeams in hygro-thermal environment vol.122, pp.9, 2016, https://doi.org/10.1007/s00339-016-0322-2
  56. Zero Poisson's ratio flexible skin for potential two-dimensional wing morphing vol.45, 2015, https://doi.org/10.1016/j.ast.2015.05.011
  57. Buckling analysis of isotropic and orthotropic plates using a novel four variable refined plate theory vol.21, pp.6, 2016, https://doi.org/10.12989/scs.2016.21.6.1287
  58. A general bi-Helmholtz nonlocal strain-gradient elasticity for wave propagation in nanoporous graded double-nanobeam systems on elastic substrate vol.168, 2017, https://doi.org/10.1016/j.compstruct.2017.02.090
  59. Free vibration of anisotropic single-walled carbon nanotube based on couple stress theory for different chirality vol.36, pp.3, 2017, https://doi.org/10.1177/0263092317700153
  60. Seismic response of underwater fluid-conveying concrete pipes reinforced with SiO 2 nanoparticles and fiber reinforced polymer (FRP) layer vol.103, 2017, https://doi.org/10.1016/j.soildyn.2017.09.009
  61. Investigation of the Instability of FGM box beams vol.54, pp.3, 2015, https://doi.org/10.12989/sem.2015.54.3.579
  62. Dynamic characteristics of temperature-dependent viscoelastic FG nanobeams subjected to 2D-magnetic field under periodic loading vol.123, pp.4, 2017, https://doi.org/10.1007/s00339-017-0829-1
  63. Nonlinear magneto-electro-mechanical vibration analysis of double-bonded sandwich Timoshenko microbeams based on MSGT using GDQM vol.21, pp.1, 2016, https://doi.org/10.12989/scs.2016.21.1.001
  64. Powell inversion mechanical model of foundation parameters with generalized Bayesian theory vol.18, pp.7, 2017, https://doi.org/10.1631/jzus.A1600440
  65. Elastic-plastic fracture of functionally graded circular shafts in torsion vol.5, pp.4, 2016, https://doi.org/10.12989/amr.2016.5.4.299
  66. Effects of neutral surface deviation on nonlinear resonance of embedded temperature-dependent functionally graded nanobeams vol.184, 2018, https://doi.org/10.1016/j.compstruct.2017.10.058
  67. A layerwise semi-analytical method for modeling guided wave propagation in laminated and sandwich composite strips with induced surface excitation vol.51, 2016, https://doi.org/10.1016/j.ast.2016.01.023
  68. Numerical investigation of nonlinear thermomechanical deflection of functionally graded CNT reinforced doubly curved composite shell panel under different mechanical loads vol.161, 2017, https://doi.org/10.1016/j.compstruct.2016.10.135
  69. Dynamic modeling of smart shear-deformable heterogeneous piezoelectric nanobeams resting on Winkler–Pasternak foundation vol.122, pp.11, 2016, https://doi.org/10.1007/s00339-016-0466-0
  70. Size-dependent electro-magneto-elastic bending analyses of the shear-deformable axisymmetric functionally graded circular nanoplates vol.132, pp.10, 2017, https://doi.org/10.1140/epjp/i2017-11666-6
  71. Investigation into the effect of random material properties on the variability of natural frequency of functionally graded beam vol.21, pp.4, 2017, https://doi.org/10.1007/s12205-016-0012-9
  72. Grid-pattern optimization framework of novel hierarchical stiffened shells allowing for imperfection sensitivity vol.62, 2017, https://doi.org/10.1016/j.ast.2016.12.002
  73. Buckling of symmetrically laminated plates using nth-order shear deformation theory with curvature effects vol.21, pp.6, 2016, https://doi.org/10.12989/scs.2016.21.6.1347
  74. Bending analysis of FGM plates using a sinusoidal shear deformation theory vol.23, pp.6, 2016, https://doi.org/10.12989/was.2016.23.6.543
  75. Miniature test techniques for life management of operating equipment vol.323, 2017, https://doi.org/10.1016/j.nucengdes.2017.03.007
  76. Thermo-mechanical post-buckling behavior of thick functionally graded plates resting on elastic foundations vol.56, pp.1, 2015, https://doi.org/10.12989/sem.2015.56.1.085
  77. Investigation of the effects of viscous damping mechanisms on structural characteristics in coupled shear walls vol.116, 2016, https://doi.org/10.1016/j.engstruct.2016.02.031
  78. Estimation of sound transmission loss of polymer/hollow microsphere composites vol.50, pp.15, 2016, https://doi.org/10.1177/0021998315602943
  79. Effect of various thermal loadings on buckling and vibrational characteristics of nonlocal temperature-dependent functionally graded nanobeams vol.23, pp.12, 2016, https://doi.org/10.1080/15376494.2015.1091524
  80. A two-variable simplified nth-higher-order theory for free vibration behavior of laminated plates vol.182, 2017, https://doi.org/10.1016/j.compstruct.2017.09.041
  81. Free dynamic analysis of functionally graded tapered nanorods via a newly developed nonlocal surface energy-based integro-differential model vol.139, 2016, https://doi.org/10.1016/j.compstruct.2015.11.059
  82. Analytical solution of nonlinear cylindrical bending for functionally graded plates vol.9, pp.5, 2015, https://doi.org/10.12989/gae.2015.9.5.631
  83. A study on thermal buckling load of clamped functionally graded beams under linear and nonlinear thermal gradient across thickness 2016, https://doi.org/10.1177/1464420716649213
  84. Wave propagation analysis of quasi-3D FG nanobeams in thermal environment based on nonlocal strain gradient theory vol.122, pp.9, 2016, https://doi.org/10.1007/s00339-016-0368-1
  85. A novel quasi-3D hyperbolic theory for free vibration of FG plates with porosities resting on Winkler/Pasternak/Kerr foundation vol.72, 2018, https://doi.org/10.1016/j.ast.2017.11.004
  86. A new nonlocal hyperbolic shear deformation theory for nanobeams embedded in an elastic medium vol.55, pp.4, 2015, https://doi.org/10.12989/sem.2015.55.4.743
  87. Hygro-thermo-mechanical behavior of classical composites using a new trigonometrical shear strain shape function and a compact layerwise approach vol.160, 2017, https://doi.org/10.1016/j.compstruct.2016.10.014
  88. A nonlocal quasi-3D trigonometric plate model for free vibration behaviour of micro/nanoscale plates vol.56, pp.2, 2015, https://doi.org/10.12989/sem.2015.56.2.223
  89. Bending, buckling and vibration analyses of MSGT microcomposite circular-annular sandwich plate under hydro-thermo-magneto-mechanical loadings using DQM 2017, https://doi.org/10.1080/19475411.2017.1377312
  90. Free vibration investigation of nano mass sensor using differential transformation method vol.123, pp.3, 2017, https://doi.org/10.1007/s00339-017-0796-6
  91. Vibration analysis of functionally graded piezoelectric nanoscale plates by nonlocal elasticity theory: An analytical solution vol.100, 2016, https://doi.org/10.1016/j.spmi.2016.08.046
  92. Employing sinusoidal shear deformation plate theory for transient analysis of three layers sandwich nanoplate integrated with piezo-magnetic face-sheets vol.25, pp.11, 2016, https://doi.org/10.1088/0964-1726/25/11/115040
  93. Homogenization of hexagonal and re-entrant hexagonal structures and wave propagation of the sandwich plates with symplectic analysis vol.114, 2017, https://doi.org/10.1016/j.compositesb.2017.01.048
  94. A new non-polynomial four variable shear deformation theory in axiomatic formulation for hygro-thermo-mechanical analysis of laminated composite plates vol.182, 2017, https://doi.org/10.1016/j.compstruct.2017.09.029
  95. Nonlinear electroelastic vibration analysis of NEMS consisting of double-viscoelastic nanoplates vol.122, pp.10, 2016, https://doi.org/10.1007/s00339-016-0452-6
  96. In-plane material inhomogeneity of functionally graded plates: A higher-order shear deformation plate isogeometric analysis vol.106, 2016, https://doi.org/10.1016/j.compositesb.2016.09.008
  97. Free vibration of symmetric and sigmoid functionally graded nanobeams vol.122, pp.9, 2016, https://doi.org/10.1007/s00339-016-0324-0
  98. Influence of size effect on flapwise vibration behavior of rotary microbeam and its analysis through spectral meshless radial point interpolation vol.123, pp.5, 2017, https://doi.org/10.1007/s00339-017-0955-9
  99. Free vibration analysis of FG plates resting on the elastic foundation and based on the neutral surface concept using higher order shear deformation theory vol.10, pp.5, 2016, https://doi.org/10.12989/eas.2016.10.5.1033
  100. An elastic element of the forced oscillation apparatus for dynamic wind tunnel measurements vol.50, 2016, https://doi.org/10.1016/j.ast.2016.01.011
  101. Flexoelectric effect on the bending and vibration responses of functionally graded piezoelectric nanobeams based on general modified strain gradient theory vol.186, 2018, https://doi.org/10.1016/j.compstruct.2017.10.083
  102. Thermal Effects on the Vibration of Functionally Graded Deep Beams with Porosity vol.09, pp.05, 2017, https://doi.org/10.1142/S1758825117500764
  103. An analytical method for free vibration analysis of functionally graded sandwich beams vol.23, pp.1, 2016, https://doi.org/10.12989/was.2016.23.1.059
  104. Bending analysis of thin functionally graded plate under in-plane stiffness variations vol.44, 2017, https://doi.org/10.1016/j.apm.2017.02.009
  105. Thermal buckling response of functionally graded sandwich plates with clamped boundary conditions vol.18, pp.2, 2016, https://doi.org/10.12989/sss.2016.18.2.267
  106. Coupled twist–bending static and dynamic behavior of a curved single-walled carbon nanotube based on nonlocal theory vol.23, pp.7, 2017, https://doi.org/10.1007/s00542-016-2933-0
  107. Postbuckling analysis of laminated composite shells under shear loads vol.21, pp.2, 2016, https://doi.org/10.12989/scs.2016.21.2.373
  108. Shear buckling of single layer graphene sheets in hygrothermal environment resting on elastic foundation based on different nonlocal strain gradient theories vol.67, 2018, https://doi.org/10.1016/j.euromechsol.2017.09.004
  109. Buckling analysis of functionally graded rectangular nano-plate based on nonlocal exponential shear deformation theory vol.113, 2016, https://doi.org/10.1016/j.ijmecsci.2016.04.014
  110. Thermal stability analysis of solar functionally graded plates on elastic foundation using an efficient hyperbolic shear deformation theory vol.10, pp.3, 2016, https://doi.org/10.12989/gae.2016.10.3.357
  111. Flutter suppression of plates subjected to supersonic flow using passive constrained viscoelastic layers and Golla–Hughes–McTavish method vol.52, 2016, https://doi.org/10.1016/j.ast.2016.02.022
  112. Interfacial stresses in RC beam bonded with a functionally graded material plate vol.60, pp.4, 2016, https://doi.org/10.12989/sem.2016.60.4.693
  113. Correction method of the manned spacecraft low altitude ranging based on γ ray vol.50, 2016, https://doi.org/10.1016/j.ast.2015.12.028
  114. Frequency Analysis of Functionally Graded Curved Pipes Conveying Fluid vol.2016, 2016, https://doi.org/10.1155/2016/7574216
  115. Analysis of buckling response of functionally graded sandwich plates using a refined shear deformation theory vol.22, pp.3, 2016, https://doi.org/10.12989/was.2016.22.3.291
  116. First-principles calculations of typical anisotropic cubic and hexagonal structures and homogenized moduli estimation based on the Y-parameter: Application to CaO, MgO, CH and Calcite CaCO3 vol.101, 2017, https://doi.org/10.1016/j.jpcs.2016.10.010
  117. Thermo-mechanical postbuckling of symmetric S-FGM plates resting on Pasternak elastic foundations using hyperbolic shear deformation theory vol.57, pp.4, 2016, https://doi.org/10.12989/sem.2016.57.4.617
  118. On vibration properties of functionally graded nano-plate using a new nonlocal refined four variable model vol.18, pp.4, 2015, https://doi.org/10.12989/scs.2015.18.4.1063
  119. Aero-hygro-thermal stability analysis of higher-order refined supersonic FGM panels with even and uneven porosity distributions vol.73, 2017, https://doi.org/10.1016/j.jfluidstructs.2017.06.007
  120. Non-linear transient and damping analysis of a long cylindrical sandwich panel with embedded SMA wires vol.47, 2015, https://doi.org/10.1016/j.ast.2015.09.016
  121. Thermal stresses in a non-homogeneous orthotropic infinite cylinder vol.59, pp.5, 2016, https://doi.org/10.12989/sem.2016.59.5.841
  122. Effect of fiber tension on the deformation of a carbon composite plate for space radio telescopes vol.45, 2015, https://doi.org/10.1016/j.ast.2015.04.019
  123. Small-scale effects on hygro-thermo-mechanical vibration of temperature-dependent nonhomogeneous nanoscale beams vol.24, pp.11, 2017, https://doi.org/10.1080/15376494.2016.1196795
  124. Isogeometric buckling analysis of composite variable-stiffness panels vol.165, 2017, https://doi.org/10.1016/j.compstruct.2017.01.016
  125. Influence of thermal and surface effects on vibration behavior of nonlocal rotating Timoshenko nanobeam vol.122, pp.7, 2016, https://doi.org/10.1007/s00339-016-0196-3
  126. Coupled vibration characteristics of shear flexible thin-walled functionally graded sandwich I-beams vol.110, 2017, https://doi.org/10.1016/j.compositesb.2016.11.025
  127. Theoretical and finite element studies of interfacial stresses in reinforced concrete beams strengthened by externally FRP laminates plate vol.30, pp.12, 2016, https://doi.org/10.1080/01694243.2016.1140703
  128. Wave propagation in functionally graded plates with porosities using various higher-order shear deformation plate theories vol.53, pp.6, 2015, https://doi.org/10.12989/sem.2015.53.6.1143
  129. On thermal stability of plates with functionally graded coefficient of thermal expansion vol.60, pp.2, 2016, https://doi.org/10.12989/sem.2016.60.2.313
  130. Size-dependent mechanical behavior of functionally graded trigonometric shear deformable nanobeams including neutral surface position concept vol.20, pp.5, 2016, https://doi.org/10.12989/scs.2016.20.5.963
  131. Nonlinear analysis of size-dependent and material-dependent nonlocal CNTs vol.153, 2016, https://doi.org/10.1016/j.compstruct.2016.07.013
  132. Vibration Analysis of Rectangular Magnetostrictive Plate Considering Thickness Variation in Two Directions vol.07, pp.04, 2015, https://doi.org/10.1142/S1758825115500593
  133. Thermal stress and deformation analysis of a size-dependent curved nanobeam based on sinusoidal shear deformation theory 2017, https://doi.org/10.1016/j.aej.2017.07.003
  134. Damping vibration behavior of visco-elastically coupled double-layered graphene sheets based on nonlocal strain gradient theory 2017, https://doi.org/10.1007/s00542-017-3529-z
  135. On the bending and stability of nanowire using various HSDTs vol.3, pp.4, 2015, https://doi.org/10.12989/anr.2015.3.4.177
  136. Wave propagation of a functionally graded beam in thermal environments vol.19, pp.6, 2015, https://doi.org/10.12989/scs.2015.19.6.1421
  137. Hygro-thermo-mechanical bending of S-FGM plates resting on variable elastic foundations using a four-variable trigonometric plate theory vol.18, pp.4, 2016, https://doi.org/10.12989/sss.2016.18.4.755
  138. On vibration behavior of rotating functionally graded double-tapered beam with the effect of porosities vol.230, pp.10, 2016, https://doi.org/10.1177/0954410015619647
  139. Hygrothermal Effects on the Free Vibration Behavior of Composite Plate Using nth-Order Shear Deformation Theory: a Micromechanical Approach 2019, https://doi.org/10.1007/s40997-017-0140-y
  140. Further investigation of the body torques on a square solar sail due to the displacement of the sail attachment points vol.50, 2016, https://doi.org/10.1016/j.ast.2016.01.007
  141. A nonlocal strain gradient refined beam model for buckling analysis of size-dependent shear-deformable curved FG nanobeams vol.159, 2017, https://doi.org/10.1016/j.compstruct.2016.09.058
  142. Dynamic response of a single-walled carbon nanotube under a moving harmonic load by considering modified nonlocal elasticity theory vol.133, pp.2, 2018, https://doi.org/10.1140/epjp/i2018-11868-4
  143. Buckling analysis of nonuniform nonlocal strain gradient beams using generalized differential quadrature method 2018, https://doi.org/10.1016/j.aej.2017.06.001
  144. A simple single variable shear deformation theory for a rectangular beam vol.231, pp.24, 2017, https://doi.org/10.1177/0954406216670682
  145. Non-linear thermal post-buckling analysis of FGM Timoshenko beam under non-uniform temperature rise across thickness vol.19, pp.3, 2016, https://doi.org/10.1016/j.jestch.2016.05.014
  146. A new higher order shear and normal deformation theory for functionally graded beams vol.18, pp.3, 2015, https://doi.org/10.12989/scs.2015.18.3.793
  147. Size-dependent thermally affected wave propagation analysis in nonlocal strain gradient functionally graded nanoplates via a quasi-3D plate theory vol.232, pp.1, 2018, https://doi.org/10.1177/0954406216674243
  148. Analytical solution for bending analysis of functionally graded beam vol.19, pp.4, 2015, https://doi.org/10.12989/scs.2015.19.4.829
  149. Rotational effect on Rayleigh, Love and Stoneley waves in non-homogeneous fibre-reinforced anisotropic general viscoelastic media of higher order vol.58, pp.1, 2016, https://doi.org/10.12989/sem.2016.58.1.181
  150. Hygrothermal effects on vibration characteristics of viscoelastic FG nanobeams based on nonlocal strain gradient theory vol.159, 2017, https://doi.org/10.1016/j.compstruct.2016.09.092
  151. Effect of Longitudinal Magnetic Field on Vibration Characteristics of Single-Walled Carbon Nanotubes in a Viscoelastic Medium vol.47, pp.6, 2017, https://doi.org/10.1007/s13538-017-0524-x
  152. Mechanical and hygrothermal behaviour of functionally graded plates using a hyperbolic shear deformation theory vol.20, pp.4, 2016, https://doi.org/10.12989/scs.2016.20.4.889
  153. Designing a stronger interface through graded structures in amorphous/nanocrystalline ZrCu/Cu multilayered films vol.27, pp.22, 2016, https://doi.org/10.1088/0957-4484/27/22/225701
  154. A mechanical response of functionally graded nanoscale beam: an assessment of a refined nonlocal shear deformation theory beam theory vol.54, pp.4, 2015, https://doi.org/10.12989/sem.2015.54.4.693
  155. Application of nonlocal strain gradient theory and various shear deformation theories to nonlinear vibration analysis of sandwich nano-beam with FG-CNTRCs face-sheets in electro-thermal environment vol.123, pp.5, 2017, https://doi.org/10.1007/s00339-017-0922-5
  156. Thermal buckling behaviour of shear deformable functionally graded single/doubly curved shell panel with TD and TID properties vol.5, pp.4, 2016, https://doi.org/10.12989/amr.2016.5.4.205
  157. Vibration and buckling analysis of double-functionally graded Timoshenko beam system on Winkler-Pasternak elastic foundation vol.160, 2017, https://doi.org/10.1016/j.compstruct.2016.10.027
  158. A novel quasi-3D trigonometric plate theory for free vibration analysis of advanced composite plates vol.184, 2018, https://doi.org/10.1016/j.compstruct.2017.10.047
  159. Elastic buckling of current-carrying double-nanowire systems immersed in a magnetic field vol.227, pp.12, 2016, https://doi.org/10.1007/s00707-016-1679-1
  160. Nonlinear bending of a two-dimensionally functionally graded beam vol.184, 2018, https://doi.org/10.1016/j.compstruct.2017.10.087
  161. Free vibration of refined higher-order shear deformation composite laminated beams with general boundary conditions vol.108, 2017, https://doi.org/10.1016/j.compositesb.2016.09.093
  162. Buckling optimization of variable-stiffness composite panels based on flow field function vol.181, 2017, https://doi.org/10.1016/j.compstruct.2017.08.081
  163. Electromechanical buckling behavior of smart piezoelectrically actuated higher-order size-dependent graded nanoscale beams in thermal environment vol.7, pp.2, 2016, https://doi.org/10.1080/19475411.2016.1191556
  164. A computational shear displacement model for vibrational analysis of functionally graded beams with porosities vol.19, pp.2, 2015, https://doi.org/10.12989/scs.2015.19.2.369
  165. A novel four variable refined plate theory for bending, buckling, and vibration of functionally graded plates vol.22, pp.3, 2016, https://doi.org/10.12989/scs.2016.22.3.473
  166. Earthquake induced dynamic deflection of submerged viscoelastic cylindrical shell reinforced by agglomerated CNTs considering thermal and moisture effects vol.187, 2018, https://doi.org/10.1016/j.compstruct.2017.12.004
  167. A new 3-unknowns non-polynomial plate theory for buckling and vibration of functionally graded sandwich plate vol.60, pp.4, 2016, https://doi.org/10.12989/sem.2016.60.4.547
  168. Exact solutions for coupled responses of thin-walled FG sandwich beams with non-symmetric cross-sections vol.122, 2017, https://doi.org/10.1016/j.compositesb.2017.04.016
  169. Wave dispersion characteristics of axially loaded magneto-electro-elastic nanobeams vol.122, pp.11, 2016, https://doi.org/10.1007/s00339-016-0465-1
  170. Finite element modeling for structural strength of quadcoptor type multi mode vehicle vol.53, 2016, https://doi.org/10.1016/j.ast.2016.03.020
  171. Vibro-acoustic behaviour of shear deformable laminated composite flat panel using BEM and the higher order shear deformation theory vol.180, 2017, https://doi.org/10.1016/j.compstruct.2017.08.012
  172. Nonlocal vibration analysis of FG nano beams with different boundary conditions vol.4, pp.2, 2016, https://doi.org/10.12989/anr.2016.4.2.085
  173. Finite element model updating of a space vehicle first stage motor based on experimental test results vol.45, 2015, https://doi.org/10.1016/j.ast.2015.06.014
  174. Elastic bending and stress analysis of carbon nanotube-reinforced composite plate: Experimental, numerical, and simulation 2017, https://doi.org/10.1002/adv.21821
  175. Critical buckling load of chiral double-walled carbon nanotube using non-local theory elasticity vol.3, pp.4, 2015, https://doi.org/10.12989/anr.2015.3.4.193
  176. A simple shear deformation theory based on neutral surface position for functionally graded plates resting on Pasternak elastic foundations vol.53, pp.6, 2015, https://doi.org/10.12989/sem.2015.53.6.1215
  177. Thermal effects on nonlocal vibrational characteristics of nanobeams with non-ideal boundary conditions vol.18, pp.6, 2016, https://doi.org/10.12989/sss.2016.18.6.1087
  178. A nonlocal zeroth-order shear deformation theory for free vibration of functionally graded nanoscale plates resting on elastic foundation vol.20, pp.2, 2016, https://doi.org/10.12989/scs.2016.20.2.227
  179. Wave propagation in anisotropic plates using trigonometric shear deformation theory vol.24, pp.13, 2017, https://doi.org/10.1080/15376494.2016.1227500
  180. Thermal post-buckling behavior of imperfect temperature-dependent sandwich FGM plates resting on Pasternak elastic foundation vol.22, pp.1, 2016, https://doi.org/10.12989/scs.2016.22.1.091
  181. Effect of shear deformation on adhesive stresses in plated concrete beams: Analytical solutions vol.15, pp.3, 2015, https://doi.org/10.12989/cac.2015.15.3.337
  182. Nonlocal transient electrothermomechanical vibration and bending analysis of a functionally graded piezoelectric single-layered nanosheet rest on visco-Pasternak foundation vol.40, pp.2, 2017, https://doi.org/10.1080/01495739.2016.1229146
  183. Analytical modeling of dynamic behavior of piezo-thermo-electrically affected sigmoid and power-law graded nanoscale beams vol.122, pp.9, 2016, https://doi.org/10.1007/s00339-016-0273-7
  184. A novel four variable refined plate theory for laminated composite plates vol.22, pp.4, 2016, https://doi.org/10.12989/scs.2016.22.4.713
  185. Nonlinear vibration of FGM doubly curved panels resting on elastic foundations in thermal environments vol.47, 2015, https://doi.org/10.1016/j.ast.2015.10.011
  186. Low-velocity impact response of functionally graded doubly curved panels with Winkler–Pasternak elastic foundation: An analytical approach vol.162, 2017, https://doi.org/10.1016/j.compstruct.2016.11.094
  187. An efficient shear deformation theory for wave propagation of functionally graded material plates vol.57, pp.5, 2016, https://doi.org/10.12989/sem.2016.57.5.837
  188. Free vibration analysis of pre-stressed FGM Timoshenko beams under large transverse deflection by a variational method vol.19, pp.2, 2016, https://doi.org/10.1016/j.jestch.2015.12.012
  189. Dynamic behavior of FGM beam using a new first shear deformation theory vol.10, pp.2, 2016, https://doi.org/10.12989/eas.2016.10.2.451
  190. Thermo-mechanical vibration of rotating axially functionally graded nonlocal Timoshenko beam vol.123, pp.1, 2017, https://doi.org/10.1007/s00339-016-0712-5
  191. Buckling and free vibration of shallow curved micro/nano-beam based on strain gradient theory under thermal loading with temperature-dependent properties vol.123, pp.1, 2017, https://doi.org/10.1007/s00339-016-0591-9
  192. Influence of the porosities on the free vibration of FGM beams vol.21, pp.3, 2015, https://doi.org/10.12989/was.2015.21.3.273
  193. The nonlinear dynamic and vibration of the S-FGM shallow spherical shells resting on an elastic foundations including temperature effects vol.123, 2017, https://doi.org/10.1016/j.ijmecsci.2017.01.043
  194. An efficient and simple shear deformation theory for free vibration of functionally graded rectangular plates on Winkler-Pasternak elastic foundations vol.22, pp.3, 2016, https://doi.org/10.12989/was.2016.22.3.329
  195. Nonlinear Flexural Analysis of Laminated Composite Panel Under Hygro-Thermo-Mechanical Loading — A Micromechanical Approach vol.13, pp.03, 2016, https://doi.org/10.1142/S0219876216500158
  196. A new simple three-unknown sinusoidal shear deformation theory for functionally graded plates vol.22, pp.2, 2016, https://doi.org/10.12989/scs.2016.22.2.257
  197. A simple hyperbolic shear deformation theory for vibration analysis of thick functionally graded rectangular plates resting on elastic foundations vol.11, pp.2, 2016, https://doi.org/10.12989/gae.2016.11.2.289
  198. A refined theory with stretching effect for the flexure analysis of laminated composite plates vol.11, pp.5, 2016, https://doi.org/10.12989/gae.2016.11.5.671
  199. A parametric study on the stress analysis and transient response of thick-laminated-faced cylindrical sandwich panels with transversely flexible core vol.48, 2016, https://doi.org/10.1016/j.ast.2015.10.016
  200. Nonlinear thermomechanical deformation behaviour of P-FGM shallow spherical shell panel vol.29, pp.1, 2016, https://doi.org/10.1016/j.cja.2015.12.007
  201. Critical Buckling Load of Chiral Double-Walled Carbon Nanotubes Embedded in an Elastic Medium vol.53, pp.6, 2018, https://doi.org/10.1007/s11029-018-9708-x
  202. Elasticity solution for a cantilever beam with exponentially varying properties vol.58, pp.2, 2017, https://doi.org/10.1134/S0021894417020213
  203. Modeling and analysis of functionally graded sandwich beams: A review pp.1537-6532, 2018, https://doi.org/10.1080/15376494.2018.1447178
  204. Fracture problems, vibration, buckling, and bending analyses of functionally graded materials: A state-of-the-art review including smart FGMS pp.1548-0046, 2018, https://doi.org/10.1080/02726351.2017.1410265
  205. 基于Jeeves模式搜索理论地基参数的更新Bayes探测法 vol.19, pp.9, 2018, https://doi.org/10.1631/jzus.A1700573
  206. Vibration and buckling analysis of a rotary functionally graded piezomagnetic nanoshell embedded in viscoelastic media vol.29, pp.11, 2018, https://doi.org/10.1177/1045389X18770856
  207. Thermo-acoustic analysis of higher-order shear deformable laminated composite sandwich flat panel pp.1530-7972, 2018, https://doi.org/10.1177/1099636218784846
  208. Instability of functionally graded micro-beams via micro-structure-dependent beam theory vol.39, pp.7, 2018, https://doi.org/10.1007/s10483-018-2343-8
  209. Smart electrical and magnetic stability analysis of exponentially graded shear deformable three-layered nanoplate based on nonlocal piezo-magneto-elasticity theory pp.1530-7972, 2018, https://doi.org/10.1177/1099636218760667
  210. Free vibration analysis of a piezoelectric curved sandwich nano-beam with FG-CNTRCs face-sheets based on various high-order shear deformation and nonlocal elasticity theories vol.133, pp.5, 2018, https://doi.org/10.1140/epjp/i2018-12015-1
  211. Thermal and Small-Scale Effects on Vibration of Embedded Armchair Single-Walled Carbon Nanotubes vol.51, pp.1661-9897, 2018, https://doi.org/10.4028/www.scientific.net/JNanoR.51.24
  212. Thermoacoustic Behavior of Laminated Composite Curved Panels Using Higher-Order Finite-Boundary Element Model vol.10, pp.02, 2018, https://doi.org/10.1142/S1758825118500175
  213. A novel approach for nonlinear bending response of macro- and nanoplates with irregular variable thickness under nonuniform loading in thermal environment pp.1539-7742, 2019, https://doi.org/10.1080/15397734.2018.1557529
  214. Accumulative Bayesian detection of displacement constants of a hybrid indeterminate box girder with variable scale gradient theory vol.11, pp.2, 2019, https://doi.org/10.1177/1687814018824164
  215. An analytical approach for buckling of functionally graded plates vol.5, pp.3, 2015, https://doi.org/10.12989/amr.2016.5.3.141
  216. Bending analysis of an imperfect advanced composite plates resting on the elastic foundations vol.5, pp.3, 2015, https://doi.org/10.12989/csm.2016.5.3.269
  217. A new five unknown quasi-3D type HSDT for thermomechanical bending analysis of FGM sandwich plates vol.22, pp.5, 2015, https://doi.org/10.12989/scs.2016.22.5.975
  218. Dynamic instability analysis for S-FGM plates embedded in Pasternak elastic medium using the modified couple stress theory vol.22, pp.6, 2015, https://doi.org/10.12989/scs.2016.22.6.1239
  219. Hygrothermal effects on buckling of composite shell-experimental and FEM results vol.22, pp.6, 2016, https://doi.org/10.12989/scs.2016.22.6.1445
  220. Mechanical behaviour of FGM sandwich plates using a quasi-3D higher order shear and normal deformation theory vol.61, pp.1, 2015, https://doi.org/10.12989/sem.2017.61.1.049
  221. Finite Element Method of Composite Steel-Concrete Beams Considering Interface Slip and Uplift vol.11, pp.None, 2015, https://doi.org/10.2174/1874149501711010531
  222. A novel quasi-3D hyperbolic shear deformation theory for functionally graded thick rectangular plates on elastic foundation vol.12, pp.1, 2015, https://doi.org/10.12989/gae.2017.12.1.009
  223. A nonlocal quasi-3D theory for bending and free flexural vibration behaviors of functionally graded nanobeams vol.19, pp.2, 2017, https://doi.org/10.12989/sss.2017.19.2.115
  224. A non-polynomial four variable refined plate theory for free vibration of functionally graded thick rectangular plates on elastic foundation vol.23, pp.3, 2015, https://doi.org/10.12989/scs.2017.23.3.317
  225. Static deflection and dynamic behavior of higher-order hyperbolic shear deformable compositionally graded beams vol.6, pp.1, 2015, https://doi.org/10.12989/amr.2017.6.1.013
  226. Bending and stability analysis of size-dependent compositionally graded Timoshenko nanobeams with porosities vol.6, pp.1, 2017, https://doi.org/10.12989/amr.2017.6.1.045
  227. Buckling temperature of a single-walled boron nitride nanotubes using a novel nonlocal beam model vol.5, pp.1, 2017, https://doi.org/10.12989/anr.2017.5.1.001
  228. Thermal buckling analysis of cross-ply laminated plates using a simplified HSDT vol.19, pp.3, 2015, https://doi.org/10.12989/sss.2017.19.3.289
  229. Wave propagation in functionally graded beams using various higher-order shear deformation beams theories vol.62, pp.2, 2015, https://doi.org/10.12989/sem.2017.62.2.143
  230. Analysis of functionally graded plates using a sinusoidal shear deformation theory vol.19, pp.4, 2017, https://doi.org/10.12989/sss.2017.19.4.441
  231. A novel and simple HSDT for thermal buckling response of functionally graded sandwich plates vol.62, pp.4, 2017, https://doi.org/10.12989/sem.2017.62.4.401
  232. Displacement Analytical Solution of a Circular Hole in Layered Composite Materials considering Shear Stress Effect vol.26, pp.3, 2015, https://doi.org/10.1177/096369351702600303
  233. A refined nonlocal hyperbolic shear deformation beam model for bending and dynamic analysis of nanoscale beams vol.5, pp.2, 2015, https://doi.org/10.12989/anr.2017.5.2.113
  234. A nonlocal zeroth-order shear deformation theory for nonlinear postbuckling of nanobeams vol.62, pp.6, 2017, https://doi.org/10.12989/sem.2017.62.6.695
  235. Free vibration analysis of embedded nanosize FG plates using a new nonlocal trigonometric shear deformation theory vol.19, pp.6, 2015, https://doi.org/10.12989/sss.2017.19.6.601
  236. A new shear deformation plate theory with stretching effect for buckling analysis of functionally graded sandwich plates vol.24, pp.5, 2017, https://doi.org/10.12989/scs.2017.24.5.569
  237. Free vibrations of laminated composite plates using a novel four variable refined plate theory vol.24, pp.5, 2017, https://doi.org/10.12989/scs.2017.24.5.603
  238. Dynamic bending response of SWCNT reinforced composite plates subjected to hygro-thermo-mechanical loading vol.20, pp.2, 2015, https://doi.org/10.12989/cac.2017.20.2.229
  239. An original single variable shear deformation theory for buckling analysis of thick isotropic plates vol.63, pp.4, 2017, https://doi.org/10.12989/sem.2017.63.4.439
  240. Rotating effects on hygro-mechanical vibration analysis of FG beams based on Euler-Bernoulli beam theory vol.63, pp.4, 2015, https://doi.org/10.12989/sem.2017.63.4.471
  241. A simple analytical approach for thermal buckling of thick functionally graded sandwich plates vol.63, pp.5, 2015, https://doi.org/10.12989/sem.2017.63.5.585
  242. Elastic analysis of interfacial stress concentrations in CFRP-RC hybrid beams: Effect of creep and shrinkage vol.6, pp.3, 2015, https://doi.org/10.12989/amr.2017.6.3.257
  243. An efficient shear deformation theory for wave propagation in functionally graded material beams with porosities vol.13, pp.3, 2015, https://doi.org/10.12989/eas.2017.13.3.255
  244. A four variable refined nth-order shear deformation theory for mechanical and thermal buckling analysis of functionally graded plates vol.13, pp.3, 2015, https://doi.org/10.12989/gae.2017.13.3.385
  245. A new and simple HSDT for thermal stability analysis of FG sandwich plates vol.25, pp.2, 2015, https://doi.org/10.12989/scs.2017.25.2.157
  246. Surface effects on vibration and buckling behavior of embedded nanoarches vol.64, pp.1, 2017, https://doi.org/10.12989/sem.2017.64.1.001
  247. A novel simple two-unknown hyperbolic shear deformation theory for functionally graded beams vol.64, pp.2, 2015, https://doi.org/10.12989/sem.2017.64.2.145
  248. Free vibration of functionally graded plates resting on elastic foundations based on quasi-3D hybrid-type higher order shear deformation theory vol.20, pp.4, 2017, https://doi.org/10.12989/sss.2017.20.4.509
  249. An analytical solution for bending and vibration responses of functionally graded beams with porosities vol.25, pp.4, 2015, https://doi.org/10.12989/was.2017.25.4.329
  250. An efficient and simple four variable refined plate theory for buckling analysis of functionally graded plates vol.25, pp.3, 2015, https://doi.org/10.12989/scs.2017.25.3.257
  251. A novel and simple higher order shear deformation theory for stability and vibration of functionally graded sandwich plate vol.25, pp.4, 2017, https://doi.org/10.12989/scs.2017.25.4.389
  252. A simple quasi-3D sinusoidal shear deformation theory with stretching effect for carbon nanotube-reinforced composite beams resting on elastic foundation vol.13, pp.5, 2015, https://doi.org/10.12989/eas.2017.13.5.509
  253. A new nonlocal trigonometric shear deformation theory for thermal buckling analysis of embedded nanosize FG plates vol.64, pp.4, 2015, https://doi.org/10.12989/sem.2017.64.4.391
  254. Vibration analysis of micro composite thin beam based on modified couple stress vol.64, pp.4, 2017, https://doi.org/10.12989/sem.2017.64.4.403
  255. Vibration analysis of FG nanoplates with nanovoids on viscoelastic substrate under hygro-thermo-mechanical loading using nonlocal strain gradient theory vol.64, pp.6, 2015, https://doi.org/10.12989/sem.2017.64.6.683
  256. A new quasi-3D HSDT for buckling and vibration of FG plate vol.64, pp.6, 2015, https://doi.org/10.12989/sem.2017.64.6.737
  257. An efficient hyperbolic shear deformation theory for bending, buckling and free vibration of FGM sandwich plates with various boundary conditions vol.25, pp.6, 2015, https://doi.org/10.12989/scs.2017.25.6.693
  258. A new simple three-unknown shear deformation theory for bending analysis of FG plates resting on elastic foundations vol.25, pp.6, 2015, https://doi.org/10.12989/scs.2017.25.6.717
  259. An original HSDT for free vibration analysis of functionally graded plates vol.25, pp.6, 2015, https://doi.org/10.12989/scs.2017.25.6.735
  260. Vibration analysis of thick orthotropic plates using quasi 3D sinusoidal shear deformation theory vol.16, pp.2, 2015, https://doi.org/10.12989/gae.2018.16.2.141
  261. The role of micromechanical models in the mechanical response of elastic foundation FG sandwich thick beams vol.68, pp.1, 2018, https://doi.org/10.12989/sem.2018.68.1.053
  262. A nonlocal strain gradient theory for nonlinear free and forced vibration of embedded thick FG double layered nanoplates vol.68, pp.1, 2018, https://doi.org/10.12989/sem.2018.68.1.103
  263. Experimental Study and Theoretical Analysis on Flexural Mechanical Propertiesof Reinforced Timber Beams vol.27, pp.1, 2018, https://doi.org/10.1177/096369351802700103
  264. Post-buckling analysis of shear-deformable composite beams using a novel simple two-unknown beam theory vol.65, pp.5, 2015, https://doi.org/10.12989/sem.2018.65.5.621
  265. Thermal stability analysis of temperature dependent inhomogeneous size-dependent nano-scale beams vol.7, pp.1, 2015, https://doi.org/10.12989/amr.2018.7.1.001
  266. Forced vibration analysis of cracked functionally graded microbeams vol.6, pp.1, 2015, https://doi.org/10.12989/anr.2018.6.1.039
  267. Post-buckling responses of a laminated composite beam vol.26, pp.6, 2015, https://doi.org/10.12989/scs.2018.26.6.733
  268. Development of super convergent Euler finite elements for the analysis of sandwich beams with soft core vol.65, pp.6, 2015, https://doi.org/10.12989/sem.2018.65.6.657
  269. A novel four variable refined plate theory for wave propagation in functionally graded material plates vol.27, pp.1, 2018, https://doi.org/10.12989/scs.2018.27.1.109
  270. Geometrically nonlinear analysis of a laminated composite beam vol.66, pp.1, 2015, https://doi.org/10.12989/sem.2018.66.1.027
  271. Improved HSDT accounting for effect of thickness stretching in advanced composite plates vol.66, pp.1, 2015, https://doi.org/10.12989/sem.2018.66.1.061
  272. Static analysis of functionally graded non-prismatic sandwich beams vol.3, pp.2, 2015, https://doi.org/10.12989/acd.2018.3.2.165
  273. Vibration and instability analysis of pipes reinforced by SiO2 nanoparticles considering agglomeration effects vol.21, pp.4, 2018, https://doi.org/10.12989/cac.2018.21.4.431
  274. Three dimensional dynamic response of functionally graded nanoplates under a moving load vol.66, pp.2, 2015, https://doi.org/10.12989/sem.2018.66.2.249
  275. A novel shear deformation theory for buckling analysis of single layer graphene sheet based on nonlocal elasticity theory vol.21, pp.4, 2015, https://doi.org/10.12989/sss.2018.21.4.397
  276. Novel quasi-3D and 2D shear deformation theories for bending and free vibration analysis of FGM plates vol.14, pp.6, 2015, https://doi.org/10.12989/gae.2018.14.6.519
  277. Bending of FGM rectangular plates resting on non-uniform elastic foundations in thermal environment using an accurate theory vol.27, pp.3, 2018, https://doi.org/10.12989/scs.2018.27.3.311
  278. Analytical investigation of bending response of FGM plate using a new quasi 3D shear deformation theory: Effect of the micromechanical models vol.66, pp.3, 2018, https://doi.org/10.12989/sem.2018.66.3.317
  279. Free vibration of FGM plates with porosity by a shear deformation theory with four variables vol.66, pp.3, 2015, https://doi.org/10.12989/sem.2018.66.3.353
  280. Free vibration and buckling analysis of orthotropic plates using a new two variable refined plate theory vol.15, pp.1, 2015, https://doi.org/10.12989/gae.2018.15.1.711
  281. Vibration and instability of nanocomposite pipes conveying fluid mixed by nanoparticles resting on viscoelastic foundation vol.21, pp.5, 2018, https://doi.org/10.12989/cac.2018.21.5.569
  282. Mathematical modeling of smart nanoparticles-reinforced concrete foundations: Vibration analysis vol.27, pp.4, 2015, https://doi.org/10.12989/scs.2018.27.4.465
  283. Nonlocal free vibration analysis of a doubly curved piezoelectric nano shell vol.27, pp.4, 2018, https://doi.org/10.12989/scs.2018.27.4.479
  284. Three dimensional finite elements modeling of FGM plate bending using UMAT vol.66, pp.4, 2018, https://doi.org/10.12989/sem.2018.66.4.487
  285. Large deflection analysis of a fiber reinforced composite beam vol.27, pp.5, 2015, https://doi.org/10.12989/scs.2018.27.5.567
  286. A novel four-unknown quasi-3D shear deformation theory for functionally graded plates vol.27, pp.5, 2015, https://doi.org/10.12989/scs.2018.27.5.599
  287. A new nonlocal HSDT for analysis of stability of single layer graphene sheet vol.6, pp.2, 2015, https://doi.org/10.12989/anr.2018.6.2.147
  288. Mechanical buckling analysis of hybrid laminated composite plates under different boundary conditions vol.66, pp.6, 2018, https://doi.org/10.12989/sem.2018.66.6.761
  289. A new quasi-3D higher shear deformation theory for vibration of functionally graded carbon nanotube-reinforced composite beams resting on elastic foundation vol.66, pp.6, 2018, https://doi.org/10.12989/sem.2018.66.6.771
  290. Analytical solutions for bending, buckling, and vibration analyses of exponential functionally graded higher order beams vol.19, pp.5, 2015, https://doi.org/10.1007/s42107-018-0046-z
  291. Buckling analysis of new quasi-3D FG nanobeams based on nonlocal strain gradient elasticity theory and variable length scale parameter vol.28, pp.1, 2015, https://doi.org/10.12989/scs.2018.28.1.013
  292. Dynamic stability of nanocomposite Mindlin pipes conveying pulsating fluid flow subjected to magnetic field vol.67, pp.1, 2015, https://doi.org/10.12989/sem.2018.67.1.021
  293. Technical and economical assessment of applying silica nanoparticles for construction of concrete structures vol.22, pp.1, 2018, https://doi.org/10.12989/cac.2018.22.1.117
  294. Buckling response with stretching effect of carbon nanotube-reinforced composite beams resting on elastic foundation vol.67, pp.2, 2018, https://doi.org/10.12989/sem.2018.67.2.125
  295. Size-dependent free vibration and dynamic analyses of a sandwich microbeam based on higher-order sinusoidal shear deformation theory and strain gradient theory vol.22, pp.1, 2015, https://doi.org/10.12989/sss.2018.22.1.027
  296. Forced vibration response in nanocomposite cylindrical shells - Based on strain gradient beam theory vol.28, pp.3, 2015, https://doi.org/10.12989/scs.2018.28.3.381
  297. Single variable shear deformation model for bending analysis of thick beams vol.67, pp.3, 2015, https://doi.org/10.12989/sem.2018.67.3.291
  298. Numerical study for vibration response of concrete beams reinforced by nanoparticles vol.67, pp.3, 2018, https://doi.org/10.12989/sem.2018.67.3.311
  299. Non-linear longitudinal fracture in a functionally graded beam vol.7, pp.4, 2015, https://doi.org/10.12989/csm.2018.7.4.441
  300. Evaluation of vibroacoustic responses of laminated composite sandwich structure using higher-order finite-boundary element model vol.28, pp.5, 2015, https://doi.org/10.12989/scs.2018.28.5.629
  301. Analysis of boundary conditions effects on vibration of nanobeam in a polymeric matrix vol.67, pp.5, 2015, https://doi.org/10.12989/sem.2018.67.5.517
  302. Effect of homogenization models on stress analysis of functionally graded plates vol.67, pp.5, 2018, https://doi.org/10.12989/sem.2018.67.5.527
  303. Dynamic analysis of higher order shear-deformable nanobeams resting on elastic foundation based on nonlocal strain gradient theory vol.6, pp.3, 2018, https://doi.org/10.12989/anr.2018.6.3.279
  304. Seismic analysis of AL2O3 nanoparticles-reinforced concrete plates based on sinusoidal shear deformation theory vol.15, pp.3, 2015, https://doi.org/10.12989/eas.2018.15.3.285
  305. A novel quasi-3D hyperbolic shear deformation theory for vibration analysis of simply supported functionally graded plates vol.22, pp.3, 2015, https://doi.org/10.12989/sss.2018.22.3.303
  306. Nonlinear Performance of Concrete Beam Reinforced with Prestressed Hybrid Cfrp/Gfrp Composite Sheet vol.27, pp.5, 2015, https://doi.org/10.1177/096369351802700505
  307. Co-rotational 3D beam element for nonlinear dynamic analysis of risers manufactured with functionally graded materials (FGMs) vol.173, pp.None, 2015, https://doi.org/10.1016/j.engstruct.2018.05.092
  308. Analysis of wave propagation and free vibration of functionally graded porous material beam with a novel four variable refined theory vol.15, pp.4, 2018, https://doi.org/10.12989/eas.2018.15.4.369
  309. An analytical solution for free vibration of functionally graded beam using a simple first-order shear deformation theory vol.27, pp.4, 2015, https://doi.org/10.12989/was.2018.27.4.247
  310. A refined quasi-3D hybrid-type higher order shear deformation theory for bending and Free vibration analysis of advanced composites beams vol.27, pp.4, 2015, https://doi.org/10.12989/was.2018.27.4.269
  311. Size-dependent forced vibration response of embedded micro cylindrical shells reinforced with agglomerated CNTs using strain gradient theory vol.22, pp.5, 2015, https://doi.org/10.12989/sss.2018.22.5.527
  312. Dynamic and bending analysis of carbon nanotube-reinforced composite plates with elastic foundation vol.27, pp.5, 2018, https://doi.org/10.12989/was.2018.27.5.311
  313. Critical buckling loads of carbon nanotube embedded in Kerr's medium vol.6, pp.4, 2015, https://doi.org/10.12989/anr.2018.6.4.339
  314. A novel hyperbolic shear deformation theory for the mechanical buckling analysis of advanced composite plates resting on elastic foundations vol.30, pp.1, 2015, https://doi.org/10.12989/scs.2019.30.1.013
  315. Nonlinear vibration of functionally graded nano-tubes using nonlocal strain gradient theory and a two-steps perturbation method vol.69, pp.2, 2015, https://doi.org/10.12989/sem.2019.69.2.205
  316. Dynamic investigation of porous functionally graded beam using a sinusoidal shear deformation theory vol.28, pp.1, 2015, https://doi.org/10.12989/was.2019.28.1.019
  317. Dynamic and wave propagation investigation of FGM plates with porosities using a four variable plate theory vol.28, pp.1, 2015, https://doi.org/10.12989/was.2019.28.1.049
  318. A novel refined shear deformation theory for the buckling analysis of thick isotropic plates vol.69, pp.3, 2019, https://doi.org/10.12989/sem.2019.69.3.335
  319. Dynamic analysis of concrete column reinforced with Sio2 nanoparticles subjected to blast load vol.7, pp.1, 2015, https://doi.org/10.12989/acc.2019.7.1.051
  320. Vibration response and wave propagation in FG plates resting on elastic foundations using HSDT vol.69, pp.5, 2015, https://doi.org/10.12989/sem.2019.69.5.511
  321. Thermal buckling analysis of SWBNNT on Winkler foundation by non local FSDT vol.7, pp.2, 2015, https://doi.org/10.12989/anr.2019.7.2.089
  322. Free vibration of an annular sandwich plate with CNTRC facesheets and FG porous cores using Ritz method vol.7, pp.2, 2015, https://doi.org/10.12989/anr.2019.7.2.109
  323. Free vibration of imperfect sigmoid and power law functionally graded beams vol.30, pp.6, 2019, https://doi.org/10.12989/scs.2019.30.6.603
  324. Vibration analysis of different material distributions of functionally graded microbeam vol.69, pp.6, 2015, https://doi.org/10.12989/sem.2019.69.6.637
  325. A New Hyperbolic Two-Unknown Beam Model for Bending and Buckling Analysis of a Nonlocal Strain Gradient Nanobeams vol.57, pp.None, 2015, https://doi.org/10.4028/www.scientific.net/jnanor.57.175
  326. Assessing the Effects of Porosity on the Bending, Buckling, and Vibrations of Functionally Graded Beams Resting on an Elastic Foundation by Using a New Refined Quasi-3D Theory vol.55, pp.2, 2015, https://doi.org/10.1007/s11029-019-09805-0
  327. A simple HSDT for bending, buckling and dynamic behavior of laminated composite plates vol.70, pp.3, 2019, https://doi.org/10.12989/sem.2019.70.3.325
  328. A novel first order refined shear-deformation beam theory for vibration and buckling analysis of continuously graded beams vol.6, pp.3, 2015, https://doi.org/10.12989/aas.2019.6.3.189
  329. Dynamic analysis of nanosize FG rectangular plates based on simple nonlocal quasi 3D HSDT vol.7, pp.3, 2015, https://doi.org/10.12989/anr.2019.7.3.191
  330. The effect of parameters of visco-Pasternak foundation on the bending and vibration properties of a thick FG plate vol.18, pp.2, 2015, https://doi.org/10.12989/gae.2019.18.2.161
  331. Free and forced analysis of perforated beams vol.31, pp.5, 2015, https://doi.org/10.12989/scs.2019.31.5.489
  332. A simple quasi-3D HSDT for the dynamics analysis of FG thick plate on elastic foundation vol.31, pp.5, 2015, https://doi.org/10.12989/scs.2019.31.5.503
  333. Chaotic dynamics of a non-autonomous nonlinear system for a smart composite shell subjected to the hygro-thermal environment vol.25, pp.7, 2019, https://doi.org/10.1007/s00542-018-4206-6
  334. Stability analysis of embedded graphene platelets reinforced composite plates in thermal environment vol.134, pp.7, 2019, https://doi.org/10.1140/epjp/i2019-12581-6
  335. Dynamic analysis of multi-layered composite beams reinforced with graphene platelets resting on two-parameter viscoelastic foundation vol.134, pp.7, 2015, https://doi.org/10.1140/epjp/i2019-12739-2
  336. Regenerative Bayesian detection of foundation constant with variable scale gradient theory vol.20, pp.8, 2015, https://doi.org/10.1631/jzus.a1800467
  337. Vibration analysis of nonlocal porous nanobeams made of functionally graded material vol.7, pp.5, 2019, https://doi.org/10.12989/anr.2019.7.5.351
  338. Three-Dimensional Vibration Analysis of a Functionally Graded Sandwich Rectangular Plate Resting on an Elastic Foundation Using a Semi-Analytical Method vol.12, pp.20, 2019, https://doi.org/10.3390/ma12203401
  339. Influences of porosity on dynamic response of FG plates resting on Winkler/Pasternak/Kerr foundation using quasi 3D HSDT vol.24, pp.4, 2015, https://doi.org/10.12989/cac.2019.24.4.347
  340. The nano scale bending and dynamic properties of isolated protein microtubules based on modified strain gradient theory vol.7, pp.6, 2015, https://doi.org/10.12989/anr.2019.7.6.443
  341. Dynamic modeling of a multi-scale sandwich composite panel containing flexible core and MR smart layer vol.134, pp.12, 2015, https://doi.org/10.1140/epjp/i2019-12662-6
  342. Interaction Between Thermal Field and Two-Dimensional Functionally Graded Materials: A Structural Mechanical Example vol.11, pp.10, 2015, https://doi.org/10.1142/s1758825119500996
  343. A new higher-order shear and normal deformation theory for the buckling analysis of new type of FGM sandwich plates vol.72, pp.5, 2019, https://doi.org/10.12989/sem.2019.72.5.653
  344. On the modeling of dynamic behavior of composite plates using a simple nth-HSDT vol.29, pp.6, 2015, https://doi.org/10.12989/was.2019.29.6.371
  345. Hygrothermal postbuckling analysis of smart multiscale piezoelectric composite shells vol.135, pp.2, 2015, https://doi.org/10.1140/epjp/s13360-020-00137-w
  346. Free vibration analysis of sandwich FGM shells using isogeometric B-spline finite strip method vol.34, pp.3, 2020, https://doi.org/10.12989/scs.2020.34.3.361
  347. A simple nth-order shear deformation theory for thermomechanical bending analysis of different configurations of FG sandwich plates vol.25, pp.2, 2020, https://doi.org/10.12989/sss.2020.25.2.197
  348. Transient response of porous inhomogeneous nanobeams due to various impulsive loads based on nonlocal strain gradient elasticity vol.16, pp.1, 2015, https://doi.org/10.1007/s10999-019-09452-2
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  365. State of the art in functionally graded materials vol.262, pp.None, 2015, https://doi.org/10.1016/j.compstruct.2021.113596
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