과제정보
The authors would like to thank Mustansiriyah university (www.uomustansiriyah.edu.iq) Baghdad-Iraq for its support in the present work.
참고문헌
- Abualnour, M., Chikh, A., Hebali, H., Kaci, A., Tounsi, A., Bousahla, A. A. and Tounsi, A. (2019), "Thermomechanical analysis of antisymmetric laminated reinforced composite plates using a new four variable trigonometric refined plate theory. Comput. Concrete, 24(6), 489-498. https://doi.org/10.12989/cac.2019.24.6.489.
- Ahmed, R. A., Fenjan, R. M. and Faleh, N. M. (2019), "Analyzing post-buckling behavior of continuously graded FG nanobeams with geometrical imperfections," Geomech. Eng., 17(2), 175-180. https://doi.org/10.12989/gae.2019.17.2.175.
- Aissani, K., Bouiadjra, M.B., Ahouel, M. and Tounsi, A. (2015), "A new nonlocal hyperbolic shear deformation theory for nanobeams embedded in an elastic medium", Struct. Eng. Mech., 55(4), 743-763. https://doi.org/10.12989/sem.2015.55.4.743.
- Alimirzaei, S., Mohammadimehr, M. and Tounsi, A. (2019), "Nonlinear analysis of viscoelastic micro-composite 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.
- Al-Maliki, A. F., Faleh, N. M. and Alasadi, A. A. (2019), "Finite element formulation and vibration of nonlocal refined metal foam beams with symmetric and non-symmetric porosities," Struct. Monitoring Maintenance, 6(2), 147-159. https:// doi.org/10.12989/smm.2019.6.2.147.
- Attia, A., Bousahla, A. A., Tounsi, A., Mahmoud, S. R. and Alwabli, A. S. (2018), "A refined four variable plate theory for thermoelastic analysis of FGM plates resting on variable elastic foundations", Struct. Eng. Mech., 65(4), 453-464. https://doi.org/10.12989/sem.2018.65.4.453.
- Atmane, H.A., Tounsi, A., Bernard, F .and Mahmoud, S.R. (2015), "A computational shear displacement model for vibrational analysis of functionally graded beams with porosities", Steel Compos. Struct., 19(2), 369-384. https://doi.org/10.12989/scs.2015.19.2.369.
- Barati, M. R., Zenkour, A. M. and Shahverdi, H. (2016), "Thermo-mechanical buckling analysis of embedded nanosize FG plates in thermal environments via an inverse cotangential theory," Compos. Struct., 141, 203-212. https://doi.org/10.1016/j.compstruct.2016.01.056.
- Berrabah, H. M., Tounsi, A., Semmah, A. and Adda, B. (2013), "Comparison of various refined nonlocal beam theories for bending, vibration and buckling analysis of nanobeams", Struct. Eng. Mech., 48(3), 351-365. https://doi.org/10.12989/sem.2013.48.3.351.
- Besseghier, A., Heireche, H., Bousahla, A. A., Tounsi, A. and Benzair, A. (2015), "Nonlinear vibration properties of a zigzag single-walled carbon nanotube embedded in a polymer matrix", Adv. Nano Res., 3(1), 29-37. https://doi.org/10.12989/anr.2015.3.1.029.
- Bourada, F., Amara, K., Bousahla, A. A., Tounsi, A. and Mahmoud, S. R. (2018), "A novel refined plate theory for stability analysis of hybrid and symmetric S-FGM plates", Struct. Eng. Mech., 68(6), 661-675. https://doi.org/10.12989/sem.2018.68.6.661.
- 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.
- 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.
- Chaabane, L. A., Bourada, F., Sekkal, M., Zerouati, S., Zaoui, F. Z., Tounsi, A. and 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.
- Chen, D., Yang, J. and Kitipornchai, S. (2015), "Elastic buckling and static bending of shear deformable functionally graded porous beam", Compos. Struct., 133, 54-61. https://doi.org/10.1016/j.compstruct.2015.07.052.
- Chen, D., Kitipornchai, S. and Yang, J. (2016), "Nonlinear free vibration of shear deformable sandwich beam with a functionally graded porous core", Thin-Wall. Struct., 107, 39-48. https://doi.org/10.1016/j.tws.2016.05.025.
- Chikh, A., Bakora, A., Heireche, H., Houari, M.S.A., Tounsi, A. and Bedia, E.A. (2016), "Thermo-mechanical postbuckling of symmetric S-FGM plates resting on Pasternak elastic foundations using hyperbolic shear deformation theory", Struct. Eng. Mech., 57(4), 617-639. https://doi.org/10.12989/sem.2016.57.4.617
- Daouadji, T. H., Benferhat, R. and Adim, B. (2016), "A novel higher order shear deformation theory based on the neutral surface concept of FGM plate under transverse load", Adv. Materials Res., 5(2), 107-120. https://doi.org/10.12989/amr.2016.5.2.107.
- Draiche et al. (2016), "A refined theory with stretching effect for the flexure analysis of laminated composite plates", Geomech. Eng., 11, 671-690. https://doi.org/10.12989/gae.2016.11.5.671.
- El-Hassar, S. M., Benyoucef, S., Heireche, H. and Tounsi, A. (2016), "Thermal stability analysis of solar functionally graded plates on elastic foundation using an efficient hyperbolic shear deformation theory", Geomech. Eng., 10(3), 357-386. https://doi.org/10.12989/gae.2016.10.3.357.
- Eltaher, M. A., Khater, M. E., Park, S., Abdel-Rahman, E and Yavuz, M. (2016), "On the static stability of nonlocal nanobeams using higher-order beam theories", Adv. Nano Res., 4(1), 51-64. http://dx.doi.org/10.12989/anr.2016.4.1.000.
- Elmerabet, A. H., Heireche, H., Tounsi, A and Semmah, A. (2017), "Buckling temperature of a single-walled boron nitride nanotubes using a novel nonlocal beam model," Adv. Nano Res., 5(1), 1-12. https://doi.org/10.12989/anr.2017.5.1.001.
- Eringen, A. C. (1983), "On differential equations of nonlocal elasticity and solutions of screw dislocation and surface waves", J. Appl. Physics, 54(9), 4703-4710. https://doi.org/10.1063/1.332803.
- Fallah, A. and Aghdam, M. M. (2011), "Nonlinear free vibration and post-buckling analysis of functionally graded beams on nonlinear elastic foundation.", European J. Mech. A/Solids, 30(4), 571-583. https://doi.org/10.1016/j.euromechsol.2011.01.005.
- Fenjan, R. M., Ahmed, R. A., Alasadi, A. A. and Faleh, N. M. (2019), "Nonlocal strain gradient thermal vibration analysis of double-coupled metal foam plate system with uniform and non-uniform porosities", Coupled Syst. Mech., 8(3), 247-257. https://doi.org/10.12989/csm.2019.8.3.247.
- Fourn, H., Atmane, H. A., Bourada, M., Bousahla, A. A., Tounsi, A. and Mahmoud, S. R. (2018), "A novel four variable refined plate theory for wave propagation in functionally graded material plates", Steel Compos. Struct., 27(1), 109-122. https://doi.org/10.12989/scs.2018.27.1.109.
- Hellal, H., Bourada, M., Hebali, H., Bourada, F., Tounsi, A., Bousahla, A. A. and Mahmoud, S. R. (2019). Dynamic and stability analysis of functionally graded material sandwich plates in hygro-thermal environment using a simple higher shear deformation theory", J. Sandwich Struct. Mater., https://doi.org/10.1177%2F1099636219845841.
- Hussain, M., Naeem, M. N., Tounsi, A. and Taj, M. (2019), "Nonlocal effect on the vibration of armchair and zigzag SWCNTs with bending rigidity", Adv. Nano Res., 7(6), 431. https://doi.org/10.12989/anr.2019.7.6.431.
- Issad, M. N., Fekrar, A., Bakora, A., Bessaim, A. and Tounsi, A. (2018), "Free vibration and buckling analysis of orthotropic plates using a new two variable refined plate theory", Geomech. Eng., 15(1), 711-719. https://doi.org/10.12989/gae.2018.15.1.711.
- Khiloun, M., Bousahla, A. A., Kaci, A., Bessaim, A., Tounsi, A. and Mahmoud, S. R. (2019), "Analytical modeling of bending and vibration of thick advanced composite plates using a four-variable quasi 3D HSDT", Eng. Computers, 1-15. https://doi.org/10.1007/s00366-019-00732-1.
- Kheroubi, B., Benzair, A., Tounsi, A and Semmah, A. (2016), "A new refined nonlocal beam theory accounting for effect of thickness stretching in nanoscale beams," Adv. Nano Res., 4(4), 251-264. https://doi.org/10.12989/anr.2016.4.4.251.
- Li, L. and Hu, Y. (2016), "Nonlinear bending and free vibration analyses of nonlocal strain gradient beams made of functionally graded material", J. Eng. Sci., 107, 77-97. https://doi.org/10.1016/j.ijengsci.2016.07.011.
- Li, L., Hu, Y and Ling, L. (2016b), "Wave propagation in viscoelastic single-walled carbon nanotubes with surface effect under magnetic field based on nonlocal strain gradient theory", Physica E: Low-dimensional Systems and Nanostructures, 75, 118-124. https://doi.org/10.1016/j.physe.2015.09.028.
- Li, L and Hu, Y. (2016), "Wave propagation in fluid-conveying viscoelastic carbon nanotubes based on nonlocal strain gradient theory", Comput. Materials Sci., 112, 282-288. https://doi.org/10.1016/j.commatsci.2015.10.044.
- Lim, C. W., Zhang, G and Reddy, J. N. (2015), "A higher-order nonlocal elasticity and strain gradient theory and its applications in wave propagation", J. Mech. Physics Solids, 78, 298-313. https://doi.org/10.1016/j.jmps.2015.02.001.
- Mahmoudi, A., Benyoucef, S., Tounsi, A., Benachour, A., Adda Bedia, E. A. and Mahmoud, S. R. (2019), "A refined quasi-3D shear deformation theory for thermo-mechanical behavior of functionally graded sandwich plates on elastic foundations", J. Sandwich Struct. Mater., 21(6), 1906-1929. https://doi.org/10.1177/1099636217727577.
- Medani, M., Benahmed, A., Zidour, M., Heireche, H., Tounsi, A., Bousahla, A.A. and 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.
- Meksi, R., Benyoucef, S., Mahmoudi, A., Tounsi, A., Adda Bedia, E. A. and Mahmoud, S. R. (2019), "An analytical solution for bending, buckling and vibration responses of FGM sandwich plates", J. Sandwich Struct. Materials, 21(2), 727-757. https://doi.org/10.1177/1099636217698443.
- Mechab, I., Mechab, B., Benaissa, S., Serier, B and Bouiadjra, B. B. (2016), "Free vibration analysis of FGM nanoplate with porosities resting on Winkler Pasternak elastic foundations based on two-variable refined plate theories", J. Brazilian Society Mech. Sci. Eng., 38(8), 2193-2211. https://doi.org/10.1007/s40430-015-0482-6.
- Merazi, M., Hadji, L., Daouadji, T. H., Tounsi, A. and Adda Bedia, E. A. (2015), "A new hyperbolic shear deformation plate theory for static analysis of FGM plate based on neutral surface position", Geomech. Eng., 8(3), 305-321. https://doi.org/10.12989/gae.2015.8.3.305.
- Natarajan, S., Chakraborty, S., Thangavel, M., Bordas, S. and Rabczuk, T. (2012), "Size-dependent free flexural vibration behavior of functionally graded nanoplates", Comput. Mater. Sci., 65, 74-80. https://doi.org/10.1016/j.commatsci.2012.06.031.
- Sadoun, M., Houari, M. S. A., Bakora, A., Tounsi, A., Mahmoud, S. R. and Alwabli, A. S. (2018), "Vibration analysis of thick orthotropic plates using quasi 3D sinusoidal shear deformation theory", Geomech. Eng., 16(2), 141-150. https://doi.org/10.12989/gae.2018.16.2.141.
- 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. https://doi.org/10.12989/scs.2019.33.5.663.
- Semmah, A., Heireche, H., Bousahla, A. A. and Tounsi, A. (2019), "Thermal buckling analysis of SWBNNT on Winkler foundation by non local FSDT", Adv. Nano Res., 7(2), 89. https://doi.org/10.12989/anr.2019.7.2.089.
- Soltani, K., Bessaim, A., Houari, M. S. A., Kaci, A., Benguediab, M., Tounsi, A. and Alhodaly, M. S. (2019), "A novel hyperbolic shear deformation theory for the mechanical buckling analysis of advanced composite plates resting on elastic foundations", Steel Composite Struct., 30(1), 13-29. https://doi.org/10.12989/scs.2019.30.1.013.
- Sayyad, A. S. and Ghugal, Y. M. (2018), "An inverse hyperbolic theory for FG beams resting on Winkler-Pasternak elastic foundation", Adv. Aircraft Spacecraft Sci., 5(6), 671-689. https://doi.org/10.12989/aas.2018.5.6.671.
- Shokravi, M. (2017), "Buckling analysis of embedded laminated plates with agglomerated CNT-reinforced composite layers using FSDT and DQM," Geomech. Eng., 12(2), 327-346. https://doi.org/10.12989/gae.2017.12.2.327.
- Tlidji, Y., Zidour, M., Draiche, K., Safa, A., Bourada, M., Tounsi, A. and Mahmoud, S. R. (2019), "Vibration analysis of different material distributions of functionally graded microbeam", Struct. Eng. Mech., 69(6), 637-649. https://doi.org/10.12989/sem.2019.69.6.637.
- 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. https://doi.org/10.12989/scs.2020.34.4.511.
- Wattanasakulpong, N and Ungbhakorn, V. (2014), "Linear and nonlinear 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.
- Xiao, W., Li, L. and Wang, M. (2017), "Propagation of in-plane wave in viscoelastic monolayer graphene via nonlocal strain gradient theory", Appl. Physics A, 123(6), 388. https://doi.org/10.1007/s00339-017-1007-1.
- 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.
- Zenkour, A.M. and Abouelregal, A.E. (2015), "Thermoelastic interaction in functionally graded nanobeams subjected to time-dependent heat flux", Steel Compos. Struct., 18(4), 909-924. https://doi.org/10.12989/scs.2015.18.4.909.
- Zhu, X and Li, L. (2017), "Closed form solution for a nonlocal strain gradient rod in tension", J. Eng. Sci., 119, 16-28. https://doi.org/10.1016/j.ijengsci.2017.06.019.