Post-buckling behavior of rectangular multilayer FG-GPLRC plate with initial geometric defects subjected to non-uniform in-plane compression loads in thermal environment

References

• K. S. Novoselov, et al., Electric field effect in atomically thin carbon films, Science, vol. 306, no. 5696, pp. 666–669, 2004. DOI: 10.1126/science.1102896.
   PubMed Web of Science ®Google Scholar
• A. Lee, X. Wei, J. W. Kysar, and J. Hone, Measurement of the elastic properties and intrinsic strength of monolayer graphene, Science, vol. 321, no. 5887, pp. 385–388, 2008. DOI: 10.1126/science.1157996.
   PubMed Web of Science ®Google Scholar
• M. Habibi, M. Safarpourc, and H. Safarpourd, Vibrational characteristics of a FG-GPLRC viscoelastic thick annular plate using fourth-order Runge-Kutta and GDQ methods, Mech. Base. Des. Struct. Mach., vol. 50, no. 7, pp. 2471–2492, 2022. DOI: 10.1080/15397734.2020.1779086.
   Web of Science ®Google Scholar
• M. A. Rafiee, J. Rafiee, Z. Wang, H. H. Song, Z. Z. Yu, and N. Koratkar, Enhanced mechanical properties of nanocomposites at low graphene content, ACS Nano., vol. 3, no. 12, pp. 3884–3890, 2009. DOI: 10.1021/nn9010472.
   PubMed Web of Science ®Google Scholar
• W. L. Gao, Z. Y. Qin, and F. L. Chu, Wave propagation in functionally graded porous plates reinforced with graphene platelets, Aerosp. Sci. Tech., vol. 102, no. 105860, pp. 105860, 2020. DOI: 10.1016/j.ast.2020.105860.
   Google Scholar
• H. L. Wu, S. Kitipornchai, and J. Yang, Thermal buckling and postbuckling of functionally graded graphene nanocomposite plates, Mater. Des., vol. 132, pp. 430–441, 2017. DOI: 10.1016/j.matdes.2017.07.025.
   Web of Science ®Google Scholar
• T. D. Singha, T. Bandyopadhyay, and A. Karmakar, A numerical solution for thermal free vibration analysis of rotating pre-twisted FG-GRC cylindrical shell panel, Mech. Adv. Mater. Struct., pp. 1–19, 2022. DOI: 10.1080/15376494.2022.2067924.
   Web of Science ®Google Scholar
• J. Yang, H. L. Wu, and S. Kitipornchai, Buckling and postbuckling of functionally graded multilayer graphene platelet-reinforced composite beams, Compos. Struct., vol. 161, pp. 111–118, 2017. DOI: 10.1016/j.compstruct.2016.11.048.
   Web of Science ®Google Scholar
• M. T. Song, S. Kitipornchai, and J. Yang, Free and forced vibrations of functionally graded polymer composite plates reinforced with graphene nanoplatelets, Compos. Struct., vol. 159, pp. 579–588, 2017. DOI: 10.1016/j.compstruct.2016.09.070.
   Web of Science ®Google Scholar
• M. Rezaiee-Pajand, E. Sobhani, and A. R. Masoodi, Free vibration analysis of functionally graded hybrid matrix/fiber nanocomposite conical shells using multiscale method, Aerosp. Sci. Tech., vol. 105, no. 105998, pp. 105998, 2020. DOI: 10.1016/j.ast.2020.105998.
   Google Scholar
• S. Qaderi1 and F. Ebrahimi, Vibration analysis of polymer composite plates reinforced with graphene platelets resting on two‑parameter viscoelastic foundation, Eng. with Comp., vol. 38, pp. 419–435, 2022. DOI: 10.1007/s00366-020-01066-z.
   Web of Science ®Google Scholar
• A. Fakhar and R. Kolahchi, Dynamic buckling of magnetorheological fluid integrated by visco-piezo-GPL reinforced plates, Int. J. Mech. Sci., vol. 144, pp. 788–799, 2018. DOI: 10.1016/j.ijmecsci.2018.06.036.
   Web of Science ®Google Scholar
• S. Sahmani and M. M. Aghdam, Nonlinear instability of axially loaded functionally graded multilayer graphene platelet-reinforced nanoshells based on nonlocal strain gradient elasticity theory, Int. J. Mech. Sci., vol. 131–132, pp. 95–106, 2017. DOI: 10.1016/j.ijmecsci.2017.06.052.
   Web of Science ®Google Scholar
• M. R. Barati and A. M. Zenkour, Analysis of postbuckling of graded porous GPLreinforced beams with geometrical defect, Mech. Adv. Mater. Struct., vol. 26, no. 6, pp. 503–511, 2019. DOI: 10.1080/15376494.2017.1400622.
   Web of Science ®Google Scholar
• H. L. Wu, J. Yang, and S. Kitipornchai, Dynamic instability of functionally graded multilayer graphene nanocomposite beams in thermal environment, Compos. Struct., vol. 162, pp. 244–254, 2017. DOI: 10.1016/j.compstruct.2016.12.001.
   Web of Science ®Google Scholar
• R. Ansari, M. Faraji Oskouie, M. Roghani, and H. Rouhi, Nonlinear analysis of laminated FG-GPLRC beams resting on an elastic foundation based on the two-phase stress-driven nonlocal model, Acta Mech., vol. 232, no. 6, pp. 2183–2199, 2021. DOI: 10.1007/s00707-021-02935-4.
   Web of Science ®Google Scholar
• C. Feng, S. Kitipornchai, and J. Yang, Nonlinear free vibration of functionally graded polymer composite beams reinforced with graphene nanoplatelets (GPLs), Eng. Struct., vol. 140, pp. 110–119, 2017. DOI: 10.1016/j.engstruct.2017.02.052.
   Web of Science ®Google Scholar
• M. T. Song, Y. H. Gong, J. Yang, W. D. Zhu, and S. Kitipornchai, Free vibration and buckling analyze s of edge-cracked functionally graded multilayer graphene nanoplatelet-reinforced composite beams resting on an elastic foundation, J. Sound Vib., vol. 458, pp. 89–108, 2019. DOI: 10.1016/j.jsv.2019.06.023.
   Web of Science ®Google Scholar
• Z. X. Zhang, A. R. Liu, J. Yang, and Y. H. Huang, Nonlinear in-plane elastic buckling of a laminated circular shallow arch subjected to a central concentrated load, Int. J. Mech. Sci., vol. 161, no. 105023, pp.105023, 2019.
   Google Scholar
• Z. C. Yang, et al., Thermally induced instability on asymmetric buckling analysis of pinned-fixed FG-GPLRC arches, Eng. Struct., vol. 250, pp. 113243, 2022. DOI: 10.1016/j.engstruct.2021.113243.
   Web of Science ®Google Scholar
• Y. Wang, C. Feng, J. Yang, D. Zhou, and S. G. Wang, Nonlinear vibration of FG-GPLRC dielectric plate with active tuning using differential quadrature method, Comput. Methods Appl. Mech. Eng., vol. 379, pp. 113761, 2021. DOI: 10.1016/j.cma.2021.113761.
   Web of Science ®Google Scholar
• M. Arefi, E. Mohammad-Rezaei Bidgoli, R. Dimitri, and F. Tornabene, Free vibrations of functionally graded polymer composite nanoplates reinforced with graphene nanoplatelets, Aerosp. Sci. Tech., vol. 81, pp. 108–117, 2018. DOI: 10.1016/j.ast.2018.07.036.
   Web of Science ®Google Scholar
• Y. Chiker, M. Bachene, M. Guemana, B. Attaf, and S. Rechak, Free vibration analysis of multilayer functionally graded polymer nanocomposite plates reinforced with nonlinearly distributed carbon-based nanofillers using a layer-wise formulation model, Aerosp. Sci. Tech., vol. 104, pp. 105913, 2018.
   Web of Science ®Google Scholar
• H. L. Wu, J. Zhu, S. Kitipornchai, Q. Wang, L. L. Ke, and J. Yang, Large amplitude vibration of functionally graded graphene nanocomposite annular plates in thermal environments, Compos. Struct., vol. 239, pp. 112047, 2020. DOI: 10.1016/j.compstruct.2020.112047.
   Web of Science ®Google Scholar
• X. G. Huang, J. Yang, and Z. C. Yang, Thermo-elastic analysis of functionally graded graphene nanoplatelets (GPLs) reinforce d close d cylindrical shells, Appl. Math. Model., vol. 97, pp. 754–770, 2021. DOI: 10.1016/j.apm.2021.04.027.
   Web of Science ®Google Scholar
• M. R. Barati and A. M. Zenkour, Vibration analysis of functionally graded graphene platelet reinforced cylindrical shells with different porosity distributions, Mech. Adv. Mater. Struct., vol. 26, no. 18, pp. 1580–1588, 2019. DOI: 10.1080/15376494.2018.1444235.
   Web of Science ®Google Scholar
• M. S. H. Al-Furjan, M. Habibi, F. Ebrahimi, G. J. Chen, M. Safarpour, and H. Safarpour, A coupled thermomechanics approach for frequency information of electrically composite microshell using heat-transfer continuum problem, Eur. Phys. J. Plus., vol. 135, no. 10, pp. 1–45, 2020. DOI: 10.1140/epjp/s13360-020-00764-3.
   Web of Science ®Google Scholar
• Y. H. Dong, L. W. He, L. Wang, Y. H. Li, and J. Yang, Buckling of spinning functionally graded graphene reinforced porous nanocomposite cylindrical shells: An analytical study, Aerosp. Sci. Tech., vol. 82–83, pp. 466–478, 2018. DOI: 10.1016/j.ast.2018.09.037.
   Web of Science ®Google Scholar
• M. Karimiasl, F. Ebrahimi, and V. Mahesh, On nonlinear vibration of sandwiched polymer- CNT/GPL-fiber nanocomposite nanoshells, Thin-Walled Struct., vol. 146, pp. 106431, 2020. DOI: 10.1016/j.tws.2019.106431.
   Web of Science ®Google Scholar
• V. N. Viet Hoang, N. D. Tien, D. G. Ninh, V. T. Thang, and D. V. Truong, Nonlinear dynamics of functionally graded graphene nanoplatelet reinforced polymer doubly-curved shallow shells resting on elastic foundation using a micromechanical model, J. Sandwich Struct. Mater., vol. 23, pp. 109963622092665, 2020.
   Web of Science ®Google Scholar
• R. Ansari, J. Torabi, and E. Hasrati, Postbuckling analysis of axially-loaded functionally graded GPL-reinforced composite conical shells, Thin-Walled Struct., vol. 148, pp. 106594, 2020. DOI: 10.1016/j.tws.2019.106594.
   Web of Science ®Google Scholar
• M. Safarpour, A. Rahimi, and A. Alibeigloo, Static and free vibration analysis of graphene platelets reinforced composite truncated conical shell, cylindrical shell, and annular plate using theory of elasticity and DQM, Mech. Base. Des. Struct. Mach., vol. 48, pp. 496–524, 2019.
   Web of Science ®Google Scholar
• M. T. Song, J. Yang, S. Kitipornchai, and W. D. Zhu, Buckling and postbuckling of biaxially compressed functionally graded multilayer graphene nanoplatelet-reinforced polymer composite plates, Int. J. Mech. Sci., vol. 131–132, pp. 345–355, 2017. DOI: 10.1016/j.ijmecsci.2017.07.017.
   Web of Science ®Google Scholar
• M. T. Song, X. Q. Li, S. Kitipornchai, Q. S. Bi, and J. Yang, Low-velocity impact response of geometrically nonlinear functionally graded graphene platelet-reinforced nanocomposite plates, Nonlinear Dyn., vol. 95, no. 3, pp. 2333–2352, 2019. DOI: 10.1007/s11071-018-4695-y.
   Web of Science ®Google Scholar
• H. L. Wu, J. Yang, and S. Kitipornchai, Parametric instability of thermo-mechanically loaded functionally graded graphene reinforced nanocomposite plates, Int. J. Mech. Sci., vol. 135, pp. 431–440, 2018. DOI: 10.1016/j.ijmecsci.2017.11.039.
   Web of Science ®Google Scholar
• R. Gholami and R. Ansari, Nonlinear stability and vibration of pre/post-buckled multilayer FG-GPLRPC rectangular plates, Appl. Math. Model., vol. 65, pp. 627–660, 2019. DOI: 10.1016/j.apm.2018.08.038.
   Web of Science ®Google Scholar
• R. Gholami and R. Ansari, Large deflection geometrically nonlinear analysis of functionally graded multilayer graphene platelet-reinforced polymer composite rectangular plates, Compos. Struct., vol. 180, pp. 760–771, 2017. DOI: 10.1016/j.compstruct.2017.08.053.
   Web of Science ®Google Scholar
• R. Gholami and R. Ansari, Nonlinear harmonically excited vibration of third-order shear deformable functionally graded graphene platelet-reinforced composite rectangular plates, Eng. Struct., vol. 156, pp. 197–209, 2018. DOI: 10.1016/j.engstruct.2017.11.019.
   Web of Science ®Google Scholar
• J. J. Mao and W. Zhang, Linear and nonlinear free and forced vibrations of graphene reinforced piezoelectric composite plate under external voltage excitation, Compos. Struct., vol. 203, pp. 551–565, 2018. DOI: 10.1016/j.compstruct.2018.06.076.
   Web of Science ®Google Scholar
• J. J. Mao and W. Zhang, Buckling and post-buckling analyzes of functionally graded graphene reinforced piezoelectric plate subjected to electric potential and axial forces, Compos. Struct., vol. 216, pp. 392–405, 2019. DOI: 10.1016/j.compstruct.2019.02.095.
   Web of Science ®Google Scholar
• Y. Wang, Y. X. Zhou, C. Feng, J. Yang, D. Zhou, and S. G. Wang, Numerical analysis on stability of functionally graded graphene platelets (GPLs) reinforced dielectric composite plate, Appl. Math. Model., vol. 101, pp. 239–258, 2022. DOI: 10.1016/j.apm.2021.08.003.
   Web of Science ®Google Scholar
• H. L. Guo, T. Z. Yang, K. K. Zur, and J. N. Reddy, On the flutter of matrix cracked laminated composite plates reinforced with graphene nanoplatelets, Thin-Walled Struct., vol. 158, no. 107161, pp. 107161, 2021. DOI: 10.1016/j.tws.2020.107161.
   Google Scholar
• M. Ramezani, M. R. Pajand, and F. Tornabene, Linear and nonlinear mechanical responses of FG-GPLRC plates using a novel strain-based formulation of modified FSDT theory, Int. J. Non-Linear Mech., vol. 140, pp. 103923, 2022. DOI: 10.1016/j.ijnonlinmec.2022.103923.
   Web of Science ®Google Scholar
• T. J. R. Hughes, J. Cottrell, and Y. Bazilevs, Isogeometric analysis: CAD, fnite elements, NURBS, exact geometry and mesh refinement, Comput. Methods Appl. Mech. Eng., vol. 194, no. 39-41, pp. 4135–4195, 2005. DOI: 10.1016/j.cma.2004.10.008.
   Web of Science ®Google Scholar
• C. H. Thai, A. J. M. Ferreira, T. D. Tran, and P. Phung-Van, Free vibration, buckling and bending analyze s of multilayer functionally graded graphene nanoplatelets reinforced composite plates using the NURBS formulation, Compos. Struct., vol. 220, pp. 749–759, 2019. DOI: 10.1016/j.compstruct.2019.03.100.
   Web of Science ®Google Scholar
• C. H. Thai, A. J. M. Ferreira, and P. Phung-Van, Size dependent free vibration analysis of multilayer functionally graded GPLRC microplates based on modified strain gradient theory, Compos. Part B., vol. 169, pp. 174–188, 2019. DOI: 10.1016/j.compositesb.2019.02.048.
   Web of Science ®Google Scholar
• C. H. Thai and P. Phung-Van, A meshfree approach using naturally stabilized nodal integration for multilayer FG GPLRC complicated plate structures, Eng. Analy. Bound. Element., vol. 117, pp. 346–358, 2020. DOI: 10.1016/j.enganabound.2020.04.001.
   Web of Science ®Google Scholar
• C. H. Thai, A. J. M. Ferreira, T. D. Tran, and P. Phung-Van, A size-dependent quasi-3D isogeometric model for functionally graded graphene platelet-reinforced composite microplates based on the modified couple stress theory, Compos. Struct., vol. 234, pp. 111695, 2020. DOI: 10.1016/j.compstruct.2019.111695.
   Web of Science ®Google Scholar
• P. Phung-Van, Q. X. Lieu, A. J. M. Ferreira, and C. H. Thai, A refined nonlocal isogeometric model for multilayer functionally graded graphene platelet-reinforced composite nanoplates, Thin-Wall. Struct., vol. 164, pp. 107862, 2021. DOI: 10.1016/j.tws.2021.107862.
   Web of Science ®Google Scholar
• P. Phung-Van, H. Nguyen‑Xuan, and C. H. Thai, Nonlocal strain gradient analysis of FG GPLRC nanoscale plates based on isogeometric approach, Eng. Comput., pp. 1–10, 2022. DOI: 10.1007/s00366-022-01689-4.
   Web of Science ®Google Scholar
• L. B. Nguyen, N. V. Nguyen, C. H. Thai, A. J. M. Ferreira, and H. Nguyen-Xuan, An isogeometric Bézier finite element analysis for piezoelectric FG porous plates reinforced by graphene platelets, Compos. Struct., vol. 214, pp. 227–245, 2019. DOI: 10.1016/j.compstruct.2019.01.077.
   Web of Science ®Google Scholar
• P. H. Cong and N. D. Duc, New approach to investigate the nonlinear dynamic response and vibration of a functionally graded multilayer graphene nanocomposite plate on a viscoelastic Pasternak medium in a thermal environment, Acta Mech., vol. 229, no. 9, pp. 3651–3670, 2018. DOI: 10.1007/s00707-018-2178-3.
   Web of Science ®Google Scholar
• R. M. R. Reddy, W. Karunasena, and W. Lokuge, Free vibration of functionally graded-GPL reinforced composite plates with different boundary conditions, Aerosp. Sci. Technol., vol. 78, pp. 147–156, 2018. DOI: 10.1016/j.ast.2018.04.019.
   Web of Science ®Google Scholar
• B. Wu, A. Pagani, M. Filippi, W. Q. Chen, and E. Carrera, Large-deflection and post-buckling analyses of isotropic rectangular plates by Carrera Unified Formulation, Int. J. Non-Linear. Mech., vol. 116, pp. 18–31, 2019. DOI: 10.1016/j.ijnonlinmec.2019.05.004.
   Web of Science ®Google Scholar
• A. Alesadi, M. Galehdari, and S. Shojaee, Free vibration and buckling analysis of cross-ply laminated composite plates using Carrera’s unified formulation based on Isogeometric approach, Comput. Struct., vol. 183, pp. 38–47, 2017. DOI: 10.1016/j.compstruc.2017.01.013.
   Web of Science ®Google Scholar
• A. Alesadi, M. Galehdari, and S. Shojaee, Free vibration and buckling analysis of composite laminated plates using layerwise models based on isogeometric approach and Carrera unified formulation, Mech. Adv. Mater. Struct., vol. 25, no. 12, pp. 1018–1032, 2018. DOI: 10.1080/15376494.2017.1342883.
   Web of Science ®Google Scholar
• K. Foroutan, E. Carrera, A. Pagani, and H. Ahmadi, Post-buckling and large-deflection analysis of a sandwich FG plate with FG porous core using Carrera’s Unified Formulation, Compos. Struct., vol. 272, pp. 114189, 2021. DOI: 10.1016/j.compstruct.2021.114189.
   Web of Science ®Google Scholar
• J. L. Mantari, I. A. Ramos, E. Carrera, and M. Petrolo, Static analysis of functionally graded plates using new nonpolynomial displacement fields via Carrera Unified Formulation, Compos. Part B., vol. 89, pp. 127–142, 2016. DOI: 10.1016/j.compositesb.2015.11.025.
   Web of Science ®Google Scholar
• A. Kumar, S. K. Panda, and R. Kumar, Buckling behavior of laminated composite skew plates with various boundary conditions subjected to linearly varying in-plane edge loading, Int. J. Mech. Sci., vol. 100, pp. 136–144, 2015. DOI: 10.1016/j.ijmecsci.2015.06.018.
   Web of Science ®Google Scholar
• B. Adhikari and B. N. Singh, Buckling characteristics of laminated functionally-graded CNT-reinforced composite plate under nonuniform uniaxial and biaxial in-plane edge loads, Int. J. Str. Stab. Dyn., vol. 20, no. 02, pp. 2050022, 2020. DOI: 10.1142/S0219455420500224.
   Google Scholar
• P. Jiao, Z. P. Chen, H. Ma, D. L. Zhang, and P. Ge, Buckling analysis of thin rectangular FG-CNTRC plate subjected to arbitrarily distributed partial edge compression loads based on differential quadrature method, Thin-Walled Struct., vol. 145, no. 106417, pp. 106417, 2019. DOI: 10.1016/j.tws.2019.106417.
   Google Scholar
• X. W. Wang, and Y. Wang, Buckling analysis of thin rectangular plates under uniaxial or biaxial compressive point loads by the differential quadrature method, Int. J. Mech. Sci., vol. 101–102, pp. 38–48, 2015. DOI: 10.1016/j.ijmecsci.2015.07.021.
   Web of Science ®Google Scholar
• X. W. Wang, Y. Wang, and L. Y. Ge, Accurate buckling analysis of thin rectangular plates under locally distributed compressive edge stresses, Thin-Walled Struct., vol. 100, pp. 81–92, 2016. DOI: 10.1016/j.tws.2015.12.002.
   Web of Science ®Google Scholar
• L. S. Ramachandra and S. K. Panda, Dynamic instability of composite plates subjected to non-uniform in-plane loads, J. Sound Vib., vol. 331, no. 1, pp. 53–65, 2012. DOI: 10.1016/j.jsv.2011.08.010.
   Web of Science ®Google Scholar
• A. V. Lopatin and E. V. Morozov, Buckling of SSCF rectangular orthotropic plate subjected to linearly varying in-plane loading, Compos. Struct., vol. 93, no. 7, pp. 1900–1909, 2011. DOI: 10.1016/j.compstruct.2011.01.024.
   Web of Science ®Google Scholar
• R. Kumar, S. C. Dutta, and S. K. Panda, Linear and non-linear dynamic instability of functionally graded plate subjected to non-uniform loading, Compos. Struct., vol. 154, pp. 219–230, 2016. DOI: 10.1016/j.compstruct.2016.07.050.
   Web of Science ®Google Scholar
• O. Mijušković, B. Ćorić, and B. Šćepanović, Exact stress functions implementation in stability analysis of plates with different boundary conditions under uniaxial and biaxial compression, Thin-Wall Struct., vol. 80, pp. 192–206, 2014. DOI: 10.1016/j.tws.2014.03.006.
   Web of Science ®Google Scholar
• T. N. Nguyen, C. H. Thai, and H. Nguyen-Xuan, On the general framework of high order shear deformation theories for laminated composite plate structures: a novel unified approach, Int. J. Mech. Sci., vol. 110, pp. 242–255, 2016. DOI: 10.1016/j.ijmecsci.2016.01.012.
   Web of Science ®Google Scholar
• C. H. Thai, A. J. M. Ferreira, S. P. A. Bordas, T. Rabczuk, and H. Nguyen-Xuan, Isogeometric analysis of laminated composite and sandwich plates using a new inverse trigonometric shear deformation theory, Eur. J. Mech. A/Solids., vol. 43, pp. 89–108, 2014. DOI: 10.1016/j.euromechsol.2013.09.001.
   Web of Science ®Google Scholar
• A. M. Zenkour, A simple four-unknown refined theory for bending analysis of functionally graded plates, Appl. Math. Model., vol. 37, no. 20–21, pp. 9041–9051, 2013. DOI: 10.1016/j.apm.2013.04.022.
   Web of Science ®Google Scholar
• M. Karama, K. S. Afaq, and S. Mistou, Mechanical behavior of laminated composite beam by the new multi-layered laminated composite structures model with transverse shear stress continuity, Int. J. Solids Struct., vol. 40, no. 6, pp. 1525–1546, 2003. DOI: 10.1016/S0020-7683(02)00647-9.
   Web of Science ®Google Scholar
• O. Mijušković, B. Ćorić, and B. Šćepanović, Accurate buckling loads of plates with different boundary conditions under arbitrary edge compression, Int. J. Mech. Sci., vol. 101–102, pp. 309–323, 2015. DOI: 10.1016/j.ijmecsci.2015.07.017.
   Web of Science ®Google Scholar
• B. Adhikari, P. Dash, and B. N. Singh, Buckling analysis of porous FGM sandwich plates under various types nonuniform edge compression based on higher order shear deformation theory, Compos. Struct., vol. 251, no. 112597, pp. 112597, 2020. DOI: 10.1016/j.compstruct.2020.112597.
   Google Scholar
• N. Yamaki, Experiments on the postbuckling behavior of square plates loaded in edge compression, J. Appl. Mech., vol. 28, no. 2, pp. 238–244, 1961. DOI: 10.1115/1.3641660.
   Google Scholar
• N. D. Duc and P. H. Cong, Nonlinear postbuckling of symmetric S-FGM plates resting on elastic foundations using higher order shear deformation plate theory in thermal environments, Compos. Struct., vol. 100, pp. 566–574, 2013. DOI: 10.1016/j.compstruct.2013.01.006.
   Web of Science ®Google Scholar
• A. Yasmin and I. M. Daniel, Mechanical and thermal properties of graphite platelet/epoxy composites, Polymer, vol. 45, no. 24, pp. 8211–8219, 2004. DOI: 10.1016/j.polymer.2004.09.054.
   Web of Science ®Google Scholar
• S. P. Timoshenko and J. M. Gere, Theory of Elastic Stability, 2nd ed., McGraw-Hill, New York, NY, 1961.
   Google Scholar