DOI QR코드

DOI QR Code

Effect of porosity distribution rate for bending analysis of imperfect FGM plates resting on Winkler-Pasternak foundations under various boundary conditions

  • Aicha, Kablia (Laboratory of Geomatics and Sustainable Development, University of Tiaret) ;
  • Rabia, Benferhat (Laboratory of Geomatics and Sustainable Development, University of Tiaret) ;
  • Daouadji, Tahar Hassaine (Laboratory of Geomatics and Sustainable Development, University of Tiaret) ;
  • Bouzidene, Ahmed (Department of Mechanical Engineering, University of Tiaret)
  • 투고 : 2020.07.29
  • 심사 : 2020.12.03
  • 발행 : 2020.12.25

초록

Equilibrium equations of a porous FG plate resting on Winkler-Pasternak foundations with various boundary conditions are derived using a new refined shear deformation theory. Different types of porosity distribution rate are considered. Governing equations are obtained including the plate-foundation interaction. This new model meets the nullity of the transverse shear stress at the upper and lower surfaces of the plate. The novel rule of mixture is proposed to describe and approximate material properties of the FG plates with different distribution case of porosity. The validity of this theory is studied by comparing some of the present results with other higher-order theories reported in the literature. Effects of variation of porosity distribution rate, boundary conditions, foundation parameter, power law index, plate aspect ratio, side-to-thickness ratio on the deflections and stresses are all discussed.

키워드

과제정보

This research was supported by the Algerian Ministry of Higher Education and Scientific Research (MESRS) as part of the grant for the PRFU research project n°A01L02UN140120200002 and by the University of Tiaret, in Algeria.

참고문헌

  1. Abdelaziz, H.H., Meziane, M.A.A., Bousahla, A.A., Tounsi, A., Mahmoud, S.R. and Alwabli, A.S. (2017), "An efficient hyperbolic shear deformation theory for bending, buckling and free vibration of FGM sandwich plates with various boundary conditions", Steel Compos. Struct., 25(6), 693-704. https://doi.org/10.12989/scs.2017.25.6.693.
  2. Abdelhak, Z., Hadji, L., Khelifa, Z., Hassaine Daouadji, T. and Adda Bedia, E.A. (2016), "Analysis of buckling response of functionally graded sandwich plates using a refined shear deformation theory", Wind Struct., 22(3), 291-305. https://doi.org/10.12989/was.2016.22.3.291.
  3. Abderezak, R., Daouadji, T.H. and Rabia, B. (2020), "Analysis of interfacial stresses of the reinforced concrete foundation beams repairing with composite materials plate", Coupl. Syst. Mech., 9(5), 473-498. http://dx.doi.org/10.12989/csm.2020.9.5.473.
  4. Abderezak, R., Daouadji, T.H., Rabia, B. and Belkacem, A. (2018), "Nonlinear analysis of damaged RC beams strengthened with glass fiber reinforced polymer plate under symmetric loads", Earthq. Struct., 15(2), 113-122. https://doi.org/10.12989/eas.2018.15.2.113.
  5. Abderezak, R., Rabia, B., Daouadji, T.H., Abbes, B., Belkacem, A. and Abbes, F. (2019), "Elastic analysis of interfacial stresses in prestressed PFGM-RC hybrid beams", Adv. Mater. Res., 7(2), 83-103. https://doi.org/10.12989/amr.2018.7.2.083.
  6. Abualnour, M., Houari, M.S.A., Tounsi, A. and Mahmoud, S.R. (2018), "A novel quasi-3D trigonometric plate theory for free vibration analysis of advanced composite plates", Compos. Struct., 184, 688-697. https://doi.org/10.1016/j.compstruct.2017.10.047.
  7. Addou, F.Y., Meradjah, M., Bousahla, A.A., Benachour, A., Bourada, F., Tounsi, A. and Mahmoud, S.R. (2019), "Influences of porosity on dynamic response of FG plates resting on Winkler/Pasternak/Kerr foundation using quasi 3D HSDT", Comput. Concrete, 24(4), 347-367. https://doi.org/10.12989/cac.2019.24.4.347.
  8. Adim, B. and Daouadji, T.H. (2016), "Effects of thickness stretching in FGM plates using a quasi-3D higher order shear deformation theory", Adv. Mater. Res., 5(4), 223-244. https://doi.org/10.12989/amr.2016.5.4.223.
  9. Ait Atmane, H., Tounsi, A. and Bernard, F. (2015), "Effect of thickness stretching and porosity on mechanical response of a functionally graded beams resting on elastic foundations", Int. J. Mech. Mater., 13(1), 1-14. https://doi.org/10.1007/s10999-015-9318-x.
  10. Ait Yahia, S., Ait Atmane, H., Houari, M.S.A. and Tounsi, A. (2015), "Wave propagation in functionally graded plates with porosities using various higher-order shear deformation plate theories", Struct. Eng. Mech., 53(6), 1143-1165. https://doi.org/10.12989/sem.2015.53.6.1143.
  11. Al-Furjan, M.S.H., Habibi, M., Chen, G., Safarpour, H., Safarpour, M. and Tounsi, A. (2020), "Chaotic oscillation of a multi-scale hybrid nano-composites reinforced disk under harmonic excitation via GDQM", Compos. Struct., 252, 112737. https://doi.org/10.1016/j.compstruct.2020.112737.
  12. Al-Furjan, M.S.H., Safarpour, H., Habibi, M., Safarpour, M. and Tounsi, A. (2020), "A comprehensive computational approach for nonlinear thermal instability of the electrically FG-GPLRC disk based on GDQ method", Eng. Comput., 1-18. https://doi.org/10.1007/s00366-020-01088-7.
  13. Alimirzaei, S., Mohammadimehr, M. and Tounsi, A. (2019), "Nonlinear analysis of viscoelastic microcomposite beam with geometrical imperfection using FEM: MSGT electro-magneto-elastic bending, buckling and vibration solutions", Struct. Eng. Mech., 71(5), 485-502. https://doi.org/10.12989/sem.2019.71.5.485.
  14. Ameur, M., Tounsi, A., Mechab, I. and Bedia, E.A. (2011), "A new trigonometric shear deformation theory for bending analysis of functionally graded plates resting on elastic foundations", J. Civil Eng., 15, 1405-1414. https://doi.org/10.1007/s12205-011-1361-z.
  15. Balubaid, M., Tounsi, A., Dakhel, B. and Mahmoud, S.R. (2019), "Free vibration investigation of FG nanoscale plate using nonlocal two variables integral refined plate theory", Comput. Concrete, 24(6), 579-586. https://doi.org/10.12989/cac.2019.24.6.579.
  16. Belabed, Z., Bousahla, A.A., Houari, M.S.A., Tounsi, A. and Mahmoud, S.R. (2018), "A new 3-unknown hyperbolic shear deformation theory for vibration of functionally graded sandwich plate", Earthq. Struct., 14(2), 103-115. https://doi.org/10.12989/eas.2018.14.2.103.
  17. Belkacem, A., Tahar, H.D., Abderrezak, R., Amine, B.M., Mohamed, Z. and Boussad, A. (2018), "Mechanical buckling analysis of hybrid laminated composite plates under different boundary conditions", Struct. Eng. Mech., 66(6), 761-769. https://doi.org/10.12989/sem.2018.66.6.761.
  18. Bellal, M., Hebali, H., Heireche, H., Bousahla, A.A., Tounsi, A., Bourada, F., ... & Tounsi, A. (2020), "Buckling behavior of a single-layered graphene sheet resting on viscoelastic medium via nonlocal fourunknown integral model", Steel Compos. Struct., 34(5), 643-655. https://doi.org/10.12989/scs.2020.34.5.643.
  19. Benchohra, M., Driz, H., Bakora, A., Tounsi, A., Adda Bedia, E.A. and Mahmoud, S.R. (2018), "A new quasi3D sinusoidal shear deformation theory for functionally graded plates", Struct. Eng. Mech., 65(1), 19-31. https://doi.org/10.12989/sem.2018.65.1.019.
  20. Benferhat, R., Daouadji, T.H., Mansour, M.S. and Hadji, L. (2016c), "Effect of porosity on the bending and free vibration response of functionally graded plates resting on Winkler-Pasternak foundations", Earthq. Struct., 10(5), 1429-1449. https://doi.org/10.12989/eas.2016.10.5.1033.
  21. Benferhat, R., Hassaine Daouadji, T., Hadji, L. and Said Mansour, M. (2016), "Static analysis of the FGM plate with porosities", Steel Compos. Struct., 21(1), 123-136. https://doi.org/10.12989/scs.2016.21.1.123.
  22. Benferhat, R., Hassaine Daouadji, T., Hadji, L. and Said Mansour, M. (2016), "Static analysis of the FGM plate with porosities", Steel Compos. Struct., 21(1), 123-136. https://doi.org/10.12989/scs.2016.21.1.123.
  23. Benhenni, M.A., Adim, B., Daouadji, T.H., Abbès, B., Abbès, F., Li, Y. and Bouzidane, A. (2019), "A comparison of closed form and finite element solutions for the free vibration of hybrid cross ply laminated plates", Mech. Compos. Mater., 55(2), 181-194. https://doi.org/10.1007/s11029-019-09803-2.
  24. Benhenni, M.A., Daouadji, T.H., Abbes, B., Abbes, F., Li, Y. and Adim, B. (2019), "Numerical analysis for free vibration of hybrid laminated composite plates for different boundary conditions", Struct. Eng. Mech., 70(5), 535-549. https://doi.org/10.12989/sem.2019.70.5.535.
  25. Benhenni, M.A., Daouadji, T.H., Abbes, B., Adim, B., Li, Y. and Abbes, F. (2018), "Dynamic analysis for antisymmetric cross-ply and angle-ply laminates for simply supported thick hybrid rectangular plates", Adv. Mater. Res., 7(2), 83-103. https://doi.org/10.12989/amr.2018.7.2.119.
  26. Bensattalah, T., Daouadji, T.H., Zidour, M., Tounsi, A. and Bedia, E.A. (2016), "Investigation of thermal and chirality effects on vibration of single walled carbon nanotubes embedded in a polymeric matrix using nonlocal elasticity theories", Mech. Compos. Mater., 52(4), 555-568. https://doi.org/10.1007/s11029-016-9606-z.
  27. Bensattalah, T., Zidour, M. and Daouadji, T.H. (2018), "Analytical analysis for the forced vibration of CNT surrounding elastic medium including thermal effect using nonlocal Euler-Bernoulli theory", Adv. Mater. Res., 7(3), 163-174. https://doi.org/10.12989/amr.2018.7.3.163.
  28. Berghouti, H., Adda Bedia, E.A., Benkhedda, A. and Tounsi, A. (2019), "Vibration analysis of nonlocal porous nanobeams made of functionally graded material", Adv. Nano Res., 7(5), 351-364. https://doi.org/10.12989/anr.2019.7.5.351.
  29. Bouakaz, K., Daouadji, T.H., Meftah, S.A., Ameur, M., Tounsi, A. and Bedia, E.A. (2014), "A numerical analysis of steel beams strengthened with composite materials", Mech. Compos. Mater., 50(4), 685-696. https://doi.org/10.1007/s11029-014-9435-x.
  30. Boukhlif, Z., Bouremana, M., Bourada, F., Bousahla, A.A., Bourada, M., Tounsi, A. and Al-Osta, M.A. (2019), "A simple quasi-3D HSDT for the dynamics analysis of FG thick plate on elastic foundation", Steel Compos. Struct., 31(5), 503-516. https://doi.org/10.12989/scs.2019.31.5.503.
  31. Boulefrakh, L., Hebali, H., Chikh, A., Bousahla, A.A., Tounsi, A. and Mahmoud, S.R. (2019), "The effect of parameters of visco-Pasternak foundation on the bending and vibration properties of a thick FG plate", Geomech. Eng., 18(2), 161-178. https://doi.org/10.12989/gae.2019.18.2.161.
  32. Bourada, F., Bousahla, A.A., Bourada, M., Azzaz, A., Zinata, A. and Tounsi, A. (2019), "Dynamic investigation of porous functionally graded beam using a sinusoidal shear deformation theory", Wind Struct., 28(1), 19-30. https://doi.org/10.12989/was.2019.28.1.019.
  33. Bourada, F., Bousahla, A.A., Tounsi, A., Bedia, E.A., Mahmoud, S.R., Benrahou, K.H. and Tounsi, A. (2020), "Stability and dynamic analyses of SW-CNT reinforced concrete beam resting on elastic-foundation", Comput. Concrete, 25(6), 485-495. https://doi.org/10.12989/cac.2020.25.6.485
  34. Bousahla, A.A., Bourada, F., Mahmoud, S.R., Tounsi, A., Algarni, A., Bedia, E.A. and Tounsi, A. (2020), "Buckling and dynamic behavior of the simply supported CNT-RC beams using an integral-first shear deformation theory", Comput. Concrete, 25(2), 155-166. https://doi.org/10.12989/cac.2020.25.2.155.
  35. Carrera, E., Brischetto, S., Cinefra, M. and Soave, M. (2011), "Effects of thickness stretching in functionally graded plates and shells", Compos. Part B, 42, 123-133. http://dx.doi.org/10.1016/j.compositesb.2010.10.005.
  36. Chaabane, L.A., Bourada, F., Sekkal, M., Zerouati, S., Zaoui, F.Z., Tounsi, A., ... & Tounsi, A. (2019), "Analytical study of bending and free vibration responses of functionally graded beams resting on elastic foundation", Struct. Eng. Mech., 71(2), 185-196. https://doi.org/10.12989/sem.2019.71.2.185.
  37. Chedad, A., Daouadji, T.H., Abderezak, R., Belkacem, A., Abbes, B., Rabia, B. and Abbes, F. (2018), "A highorder closed-form solution for interfacial stresses in externally sandwich FGM plated RC beams", Adv. Mater. Res., 6(4), 317-328. https://doi.org/10.12989/amr.2017.6.4.317.
  38. Chergui, S., Daouadji, T.H., Hamrat, M., Boulekbache, B., Bougara, A., Abbes, B. and Amziane, S. (2019), "Interfacial stresses in damaged RC beams strengthened by externally bonded prestressed GFRP laminate plate: Analytical and numerical study", Adv. Mater. Res., 8(3), 197-217. https://doi.org/10.12989/amr.2019.8.3.197.
  39. Chikr, S.C., Kaci, A., Bousahla, A.A., Bourada, F., Tounsi, A., Bedia, E.A., ... & Tounsi, A. (2020), "A novel four-unknown integral model for buckling response of FG sandwich plates resting on elastic foundations under various boundary conditions using Galerkin's approach", Geomech. Eng., 21(5), 471-487. https://doi.org/10.12989/gae.2020.21.5.471.
  40. Cooke, D.W. and Levinson, M. (1983), "Thick rectangular plates-II, the generalized Levy solution", Int. J. Mech. Sci., 25, 207-215. https://doi.org/10.1016/0020-7403(83)90094-2.
  41. Daouadji, T.H. (2016b), "Theoretical analysis of composite beams under uniformly distributed load", Adv. Mater. Res., 5(1), 1-9. https://doi.org/10.12989/amr.2016.5.1.001.
  42. Daouadji, T.H. and Adim, B. (2016a), "An analytical approach for buckling of functionally graded plates", Adv. Mater. Res., 5(3), 141-169. https://doi.org/10.12989/amr.2016.5.3.141.
  43. Daouadji, T.H. and Benferhat, R. (2016), "Bending analysis of an imperfect FGM plates under hygro-thermomechanical loading with analytical validation", Adv. Mater. Res., 5(1), 35-53. https://doi.org/10.12989/amr.2016.5.1.035.
  44. Daouadji, T.H. and Benferhat, R. (2016), "Bending analysis of an imperfect FGM plates under hygro-thermomechanical loading with analytical validation", Adv. Mater. Res., 5(1), 35-53. https://doi.org/10.12989/amr.2016.5.1.035.
  45. Demirhan, P.A. and Taskin, V. (2019), "Bending and free vibration analysis of Levy-type porous functionally graded plate using state space approach", Compos. Part B: Eng., 160, 661-676. https://doi.org/10.1016/j.compositesb.2018.12.020.
  46. El-Haina, F., Bakora, A., Bousahla, A.A., Tounsi, A. and Mahmoud, S.R. (2017), "A simple analytical approach for thermal buckling of thick functionally graded sandwich plates", Struct. Eng. Mech., 63(5), 585-595. https://doi.org/10.12989/sem.2017.63.5.585.
  47. Hadj, B., Rabia, B. and Daouadji, T.H. (2019), "Influence of the distribution shape of porosity on the bending FGM new plate model resting on elastic foundations", Struct. Eng. Mech., 72(1), 823-832. https://doi.org/10.12989/sem.2019.72.1.061.
  48. Hamrat, M., Bouziadi, F., Boulekbache, B., Daouadji, T.H., Chergui, S., Labed, A. and Amziane, S. (2020), "Experimental and numerical investigation on the deflection behavior of pre-cracked and repaired reinforced concrete beams with fiber-reinforced polymer", Constr. Build. Mater., 249, 1-13. https://doi.org/10.1016/j.conbuildmat.2020.118745.
  49. Hassaine Daouadji, T. (2013), "Analytical analysis of the interfacial stress in damaged reinforced concrete beams strengthened by bonded composite plates", Strength Mater., 45(5), 587-597. htttps://doi.org/10.1007/s11223-013-9496-4.
  50. Hassaine Daouadji, T. (2017), "Analytical and numerical modeling of interfacial stresses in beams bonded with a thin plate", Adv. Comput. Des., 2(1), 57-69. https://doi.org/10.12989/acd.2017.2.1.057.
  51. Hassaine Daouadji, T., Rabahi, A., Benferhat, R. and Adim, B. (2019), "Flexural behaviour of steel beams reinforced by carbon fibre reinforced polymer: Experimental and numerical study", Struct. Eng. Mech., 72(4), 409-419. https://doi.org/10.12989/sem.2019.72.4.409.
  52. Kaddari, M., Kaci, A., Bousahla, A.A., Tounsi, A., Bourada, F., Tounsi, A., ... & Al-Osta, M.A. (2020), "A study on the structural behaviour of functionally graded porous plates on elastic foundation using a new quasi-3D model: Bending and Free vibration analysis", Comput. Concrete, 25(1), 37-57. https://doi.org/10.12989/cac.2020.25.1.037.
  53. Karama, M., Afaq, K.S. and Mistou, S. (2003), "Mechanical behavior of laminated composite beam by the new multi-layered laminated composite structures model with transverse shear stress continuity", Int. J. Solid. Struct., 40(6), 1525-1546. https://doi.org/10.1016/S0020-7683(02)00647-9.
  54. Karami, B., Janghorban, M. and Tounsi, A. (2019), "Galerkin's approach for buckling analysis of functionally graded anisotropic nanoplates/different boundary conditions", Eng. Comput., 35, 1297-1316. https://doi.org/10.1007/s00366-018-0664-9.
  55. Khelifa, Z., Hadji, L., Daouadji, T.H. and Bourada, M. (2018), "Buckling response with stretching effect of carbon nanotube-reinforced composite beams resting on elastic foundation", Struct. Eng. Mech., 67(2), 125-130. https://doi.org/10.12989/sem.2018.67.2.125.
  56. Lee, K.H., Lim, G.T. and Wang, C.M. (2002), "Thick Levy plates re-visited", Int. J. Solid. Struct., 39, 127-144. https://doi.org/10.1016/S0020-7683(01)00205-0.
  57. Mantari, J.L., Oktem, A.S. and Soares, C.G. (2012), "A new trigonometric shear deformation theory for isotropic, laminated composite and sandwich plates", Int. J. Solid. Struct., 49, 43-53. https://doi.org/10.1016/j.ijsolstr.2011.09.008.
  58. Matouk, H., Bousahla, A.A., Heireche, H., Bourada, F., Bedia, E.A., Tounsi, A., ... & Benrahou, K.H. (2020), "Investigation on hygro-thermal vibration of P-FG and symmetricS-FG nanobeam using integral Timoshenko beam theory", Adv. Nano Res., 8(4), 293-305. https://doi.org/10.12989/anr.2020.8.4.293.
  59. Medani, M., Benahmed, A., Zidour, M., Heireche, H., Tounsi, A., Bousahla, A.A., ... & Mahmoud, S.R. (2019), "Static and dynamic behavior of (FG-CNT) reinforced porous sandwich plate using energy principle", Steel Compos. Struct., 32(5), 595-610. https://doi.org/10.12989/scs.2019.32.5.595.
  60. Menasria, A., Kaci, A., Bousahla, A.A., Bourada, F., Tounsi, A., Benrahou, K.H., ... & Mahmoud, S.R. (2020), "A four-unknown refined plate theory for dynamic analysis of FG-sandwich plates under various boundary conditions", Steel Compos. Struct., 36(3), 355-367. http://dx.doi.org/10.12989/scs.2020.36.3.355.
  61. Mokhtar, Y., Heireche, H., Bousahla, A.A., Houari, M.S.A., Tounsi, A. and Mahmoud, S.R. (2018), "A novel shear deformation theory for buckling analysis of single layer graphene sheet based on nonlocal elasticity theory", Smart Struct. Syst., 21(4), 397-405. https://doi.org/10.12989/sss.2018.21.4.397.
  62. Rabahi, A., Daouadji, T.H., Abbes, B. and Adim, B. (2016), "Analytical and numerical solution of the interfacial stress in reinforced-concrete beams reinforced with bonded prestressed composite plate", J. Reinf. Plast. Compos., 35(3) 258-272. https://doi.org/10.1177/0731684415613633.
  63. Rabhi, M., Benrahou, K.H., Kaci, A., Houari, M.S.A., Bourada, F., Bousahla, A.A., ... & Tounsi, A. (2020), "A new innovative 3-unknowns HSDT for buckling and free vibration of exponentially graded sandwich plates resting on elastic foundations under various boundary conditions", Geomech. Eng., 22(2), 119-132. https://doi.org/10.12989/gae.2020.22.2.119.
  64. Rabia, B., Abderezak, R., Daouadji, T.H., Abbes, B., Belkacem, A. and Abbes, F. (2018), "Analytical analysis of the interfacial shear stress in RC beams strengthened with prestressed exponentially-varying properties plate", Adv. Mater. Res., 7(1), 29-44. https://doi.org/10.12989/amr.2018.7.1.029.
  65. Rabia, B., Daouadji, T.H. and Abderezak, R. (2019), "Effect of distribution shape of the porosity on the interfacial stresses of the FGM beam strengthened with FRP plate", Earthq. Struct., 16(5), 601-609. https://doi.org/10.12989/eas.2019.16.5.601.
  66. Rahmani, M.C., Kaci, A., Bousahla, A.A., Bourada, F., Tounsi, A., Bedia, E.A., ... & Tounsi, A. (2020), "Influence of boundary conditions on the bending and free vibration behavior of FGM sandwich plates using a four-unknown refined integral plate theory", Comput. Concrete, 25(3), 225-244. https://doi.org/10.12989/cac.2020.25.3.225.
  67. Reddy, J.N., Wang, C.M., Lim, G.T. and Ng, K.H. (2001), "Bending solutions of Levinson beams and plates in terms of the classical theories", Int. J. Solid. Struct., 38, 4701-4720. https://doi.org/10.1016/S0020-7683(00)00298-5.
  68. Refrafi, S., Bousahla, A.A., Bouhadra, A., Menasria, A., Bourada, F., Tounsi, A., ... & Tounsi, A. (2020), "Effects of hygro-thermo-mechanical conditions on the buckling of FG sandwich plates resting on elastic foundations", Comput. Concrete, 25(4), 311-325. https://doi.org/10.12989/cac.2020.25.4.311.
  69. Sahla, M., Saidi, H., Draiche, K., Bousahla, A.A., Bourada, F. and Tounsi, A. (2019), "Free vibration analysis of angle-ply laminated composite and soft core sandwich plates", Steel Compos. Struct., 33(5), 663-679. https://doi.org/10.12989/scs.2019.33.5.663.
  70. Shariati, A., Ghabussi, A., Habibi, M., Safarpour, H., Safarpour, M., Tounsi, A. and Safa, M. (2020), "Extremely large oscillation and nonlinear frequency of a multi-scale hybrid disk resting on nonlinear elastic foundations", Thin Wall. Struct., 154, 106840. https://doi.org/10.1016/j.tws.2020.106840.
  71. Slimane, M. (2018), "Analysis of bending of ceramic-metal functionally graded plates with porosities using of high order shear theory", Adv. Eng. Forum, 30, 54-70. https://doi.org/10.4028/www.scientific.net/AEF.30.54.
  72. Tahar, H.D., Abderezak, R. and Rabia, B. (2020), "Flexural performance of wooden beams strengthened by composite plate", Struct. Monit. Mainten., 7(3), 233-259. http://dx.doi.org/10.12989/smm.2020.7.3.233.
  73. Tayeb, B. and Daouadji, T.H. (2020), "Improved analytical solution for slip and interfacial stress in composite steel-concrete beam bonded with an adhesive", Adv. Mater. Res., 9(2), 133-153. https://doi.org/10.12989/amr.2020.9.2.133.
  74. Thai, H.T. and Choi, D.H. (2013), "Finite element formulation of various four unknown shear deformation theories for functionally graded plates", Finite Elem. Anal. Des., 75, 50-61. https://doi.org/10.1016/j.finel.2013.07.003.
  75. Tounsi, A., Al-Dulaijan, S.U., Al-Osta, M.A., Chikh, A., Al-Zahrani, M.M., Sharif, A. and Tounsi, A. (2020), "A four variable trigonometric integral plate theory for hygro-thermo-mechanical bending analysis of AFG ceramic-metal plates resting on a two-parameter elastic foundation", Steel Compos. Struct., 34(4), 511-524. https://doi.org/10.12989/scs.2020.34.4.511.
  76. Tounsi, A., Daouadji, T.H. and Benyoucef, S. (2008), "Interfacial stresses in FRP-plated RC beams: Effect of adherend shear deformations", Int. J. Adhes. Adhesiv., 29, 313-351. https://doi.org/10.1016/j.ijadhadh.2008.06.008.
  77. Tounsi, A., Houari, M.S.A. and Benyoucef, S. (2013), "A refined trigonometric shear deformation theory for thermoelastic bending of functionally graded sandwich plates", Aerosp. Sci. Technol., 24, 209-220. https://doi.org/10.1016/j.ast.2011.11.009.
  78. Wattanasakulponga, N. and Ungbhakornb, V. (2014), "Linear and non linear vibration analysis of elastically restrained ends FGM beams with porosities", Aerosp. Sci. Technol., 32(1), 111-120. https://doi.org/10.1016/j.ast.2013.12.002.
  79. Yazid, M., Heireche, H., Tounsi, A., Bousahla, A.A. and Houari, M.S.A. (2018), "A novel nonlocal refined plate theory for stability response of orthotropic single-layer graphene sheet resting on elastic medium", Smart Struct. Syst., 21(1), 15-25. https://doi.org/10.12989/sss.2018.21.1.015.
  80. Younsi, A., Tounsi, A., Zaoui, F.Z., Bousahla, A.A. and Mahmoud, S.R. (2018), "Novel quasi-3D and 2D shear deformation theories for bending and free vibration analysis of FGM plates", Geomech. Eng., 14(6), 519-532. https://doi.org/10.12989/gae.2018.14.6.519.
  81. Zaoui, F.Z., Ouinas, D. and Tounsi, A. (2019), "New 2D and quasi-3D shear deformation theories for free vibration of functionally graded plates on elastic foundations", Compos. Part B, 159, 231-247. https://doi.org/10.1016/j.compositesb.2018.09.051.
  82. Zenkour, A.M. (2009), "The refined sinusoidal theory for FGM plates on elastic foundations", Int. J. Mech. Sci., 51, 869-880. https://doi.org/10.1016/j.ijmecsci.2009.09.026.
  83. Zenkour, A.M. and Radwan, A.F. (2018), "Compressive study of functionally graded plates resting on WinklerPasternak foundations under various boundary conditions using hyperbolic shear deformation theory", Arch. Civil Mech. Eng., 18, 645-658. https://doi.org/10.1016/j.acme.2017.10.003.
  84. Zenkour, A.M., Allam, M.N.M. and Radwan, A.F. (2014), "Effects of hygrothermal conditions on cross-ply laminated plates resting on elastic foundations", Arch. Civil Mech. Eng., 14, 144-159. https://doi.org/10.1016/j.acme.2013.07.008.
  85. Zine, A., Bousahla, A.A., Bourada, F., Benrahou, K.H., Tounsi, A., Adda Bedia, E.A., ... and Tounsi, A. (2020), "Bending analysis of functionally graded porous plates via a refined shear deformation theory", Comput. Concrete, 26(1), 63-74. http://dx.doi.org/10.12989/cac.2020.26.1.063.

피인용 문헌

  1. Analysis on the buckling of imperfect functionally graded sandwich plates using new modified power-law formulations vol.77, pp.6, 2020, https://doi.org/10.12989/sem.2021.77.6.797
  2. Modeling and analysis of the imperfect FGM-damaged RC hybrid beams vol.6, pp.2, 2020, https://doi.org/10.12989/acd.2021.6.2.117
  3. A new model for adhesive shear stress in damaged RC cantilever beam strengthened by composite plate taking into account the effect of creep and shrinkage vol.79, pp.5, 2020, https://doi.org/10.12989/sem.2021.79.5.531
  4. New solution for damaged porous RC cantilever beams strengthening by composite plate vol.10, pp.3, 2020, https://doi.org/10.12989/amr.2021.10.3.169