Buckling analysis of FGM plate exposed to different loads conditions

References

• Badiey, M, and M. A. Kouchakzadeh. 2010. Buckling of functionally graded plate (FGP) under shear and in-plane directional loading. 27th International Congress of the Aeronautical Sciences.
   Google Scholar
• Bhardwaj, G., I. V. Singh, B. K. Mishra, and T. Q. Bui. 2015. Numerical simulation of functionally graded cracked plates using NURBS based XIGA under different loads and boundary conditions. Composite Structures 126:347–59. doi:10.1016/j.compstruct.2015.02.066.
   Web of Science ®Google Scholar
• Bouderba, B., M. Houari, and A. Tounsi. 2013. Thermomechanical bending response of FGM thick plates resting on Winkler–Pasternak elastic foundations. Steel & Composite Structures 14 (1):85–104. doi:10.12989/scs.2013.14.1.085.
   Web of Science ®Google Scholar
• Bouderba, B., and H. M. Berrabah. 2020. Bending response of porous advanced composite plates under themomechanical loads. Mechanics Based Design of Structures and Machines :1–21. doi:10.1080/15397734.2020.1801464.
   Web of Science ®Google Scholar
• Czechowski, L., and Z. Kołakowski. 2019. The study of buckling and post-buckling of a step-variable FGM box. Materials (Basel, Switzerland) 12 (6):918. https://doi.org/10.3390/ma12060918.
   PubMed Web of Science ®Google Scholar
• Reissner, E. 1945. The effect of transverse shear deformation on the bending of elastic plates. ASME Journal of Applied Mechanics, Transactions 12:A68–A77.
   Google Scholar
• Farhatnia, F., M. Latifi, and M. Kadkhodaei. 2011. Buckling of rectangular functionally graded plates under various edge conditions using Stoke’s transformation method. 16th International Conference on Composite Structures. ICCS 16, A. J. M. Ferreira (Editor).
   Google Scholar
• Fekrar, A., N. El Meiche, A. Bessaim, A. Tounsi, and E. A. Adda Bedia. 2012. Buckling analysis of functionally graded hybrid composite plates using a new four variable refined plate theory. Steel & Composite Structures 13 (1):91–107. doi:10.12989/scs.2012.13.1.091.
   Web of Science ®Google Scholar
• Feldman, E., and J. Aboudi. 1997. Buckling analysis of functionally graded plates subjected to uniaxial loading. Composite Structures 38 (1-4):29–36. doi:10.1016/S0263-8223(97)00038-X.
   Web of Science ®Google Scholar
• Gao, W., Z. Qin, and F. Chu. 2020. Wave propagation in functionally graded porous plates reinforced with grapheme platelets. Aerospace Science and Technology 102:105860. doi:10.1016/j.ast.2020.105860.
   Web of Science ®Google Scholar
• Ghannadpour, S., H. R. Ovesy, and M. Nassirnia. 2012. An investigation on buckling behaviour of functionally graded plates using finite strip method. Applied Mechanics and Materials 152-154:1470–6. doi:10.4028/www.scientific.net/AMM.152-154.1470.
   Google Scholar
• Bellifa, H., A. Bakora, A. Tounsi, A. A. Bousahla, and S. R. Mahmoud. 2017. An efficient and simple four variable refined plate theory for buckling analysis of functionally graded plates. Steel and Composite Structures 25 (3):257–70. doi:10.12989/scs.2017.25.3.257.
   Web of Science ®Google Scholar
• Huang, Y., and X. F. Li. 2010. Buckling of functionally graded circular columns including shear deformation. Materials and Design 31 (7):3159–66. doi:10.1016/j.matdes.2010.02.032.
   Web of Science ®Google Scholar
• Ramu, I, and S. C. Mohanty. 2014. Buckling analysis of rectangular functionally graded material plates under uniaxial and biaxial compression load. 1st International Conference on Structural Integrity, ICONS, Procedia Engineering 86, 748–757. doi:10.1016/j.proeng.2014.11.094.
   Google Scholar
• Kaysser, W. A., and B. Ilschner. 1995. FGM research activities in Europe. MRS Bulletin 20 (1):22–6. doi:10.1557/S0883769400048879.
   Web of Science ®Google Scholar
• Koizumi, M. 1993. The concept of FGM. In Ceramic transactions, functionally graded materials, 34, pp :3–10.
   Google Scholar
• Koizumi, M. 1997. FGM activities in Japan. Composites Part B: Engineering 28 (1-2):1–4. doi:10.1016/S1359-8368(96)00016-9.
   Web of Science ®Google Scholar
• Koizumi, M., and M. Niino. 1995. Overview of FGM research in Japan. MRS Bulletin 20 (1):19–21. doi:10.1557/S0883769400048867.
   Web of Science ®Google Scholar
• Kołakowski, Z., and R. J. Mania. 2013. Semi-analytical method versus the FEM for analysis of the local post-buckling of thin-walled composite structures. Composite Structures 97:99–106. doi:10.1016/j.compstruct.2012.10.035.
   Web of Science ®Google Scholar
• Kolakowski, Z., R. J. Mania, and J. Grudziecki. 2015. Local nonsymmetric post-buckling equilibrium path in thin FGM plate. Eksploatacja i Niezawodnosc - Maintenance and Reliability 17 (1):135–42. doi:10.17531/ein.2015.1.18.
   Google Scholar
• Liu, Y., Z. Qin, and F. Chu. 2021a. Nonlinear forced vibrations of functionally graded piezoelectric cylindrical shells under electric-thermo-mechanical loads. International Journal of Mechanical Sciences 201:106474. doi:10.1016/j.ijmecsci.2021.106474.
   Web of Science ®Google Scholar
• Liu, Y., Z. Qin, and F. Chu. 2021b. Nonlinear dynamic responses of sandwich functionally graded porous cylindrical shells embedded in elastic media under 1:1 internal resonance. Applied Mathematics and Mechanics 42 (6):805–18. doi:10.1007/s10483-021-2740-7.
   Google Scholar
• Mahdavian, M. 2009. Buckling Analysis of Simply-supported Functionally Graded Rectangular Plates under Non-uniform In-plane Compressive Loading. Journal of Solid Mechanics 1 (3):213–25.
   Google Scholar
• Mozafari, H., and A. Ayob. 2012. Effect of thickness variation on the mechanical buckling load in plates made of functionally graded materials. Procedia Technology 1:496–504. doi:10.1016/j.protcy.2012.02.108.
   Google Scholar
• Naebe, M., and K. Shirvanimoghaddam. 2016. Functionally graded materials: A review of fabrication and properties. Applied Materials Today. 5:223–45. doi:10.1016/j.apmt.2016.10.001.
   Web of Science ®Google Scholar
• Mindlin, R. D. 1951. Influence of rotatory inertia and shear on flexural motions of isotropic, elastic plates. Journal of Applied Mechanics 18 (1):31–8. doi:10.1115/1.4010217.
   Web of Science ®Google Scholar
• Praveen, G. N., and J. N. Reddy. 1998. Nonlinear transient thermoelastic analysis of functionally graded ceramic-metal plates. International Journal of Solids and Structures 35 (33):4457. doi:10.1016/S0020-7683(97)00253-9.
   Web of Science ®Google Scholar
• Qin, Z., S. Zhao, X. Pang, B. Safaei, and F. Chu. 2019a. A unified solution for vibration analysis of laminated functionally graded shallow shells reinforced by graphene with general boundary conditions. International Journal of Mechanical Sciences 170:105341. doi:10.1016/j.ijmecsci.2019.105341.
   Web of Science ®Google Scholar
• Qin, Z., X. Pang, B. Safaei, and F. Chu. 2019b. Free vibration analysis of rotating functionally graded CNT reinforced composite cylindrical shells with arbitrary boundary conditions. Composite Structures 220:847–60. doi:10.1016/j.compstruct.2019.04.046.
   Web of Science ®Google Scholar
• Reddy, B. S., J. S. Kumar, C. E. Reddy, and K. V. Reddy. 2013. Buckling analysis of functionally graded material plates using higher order shear deformation theory. Journal of Composite Materials :1–12.
   Google Scholar
• Reddy, J. N. 2000. Analysis of functionally graded plates. International Journal for Numerical Methods in Engineering 47 (1-3):663–84. doi:10.1002/(SICI)1097-0207(20000110/30)47:1/3 < 663::AID-NME787 > 3.0.CO;2-8.
   Web of Science ®Google Scholar
• Saha, R., and P. R. Maiti. 2012. Buckling of simply supported FGM plates under uniaxial load. International Journal of Civil and Structural Engineering 2 (4):1036–50.
   Google Scholar
• Sahmani, S., and R. Ansari. 2011. Nonlocal beam models for buckling of nanobeams using state-space method regarding different boundary conditions. Journal of Mechanical Science and Technology 25 (9):2365–75. doi:10.1007/s12206-011-0711-6.
   Web of Science ®Google Scholar
• Sahmani, S., M. Bahrami, and R. Ansari. 2014. Surface energy effects on the nonlinear vibration characteristics of postbuckled third-order shear deformable nanobeams. Composite Structures 116:552–61. doi:http://dx.doi.org/10.1016/j.compstruct.2014.05.035.
   Web of Science ®Google Scholar
• Sahmani, S., M. Bahrami, and M. M. Aghdam. 2016. Surface stress effects on the nonlinear postbuckling characteristics of geometrically imperfect cylindrical nanoshells subjected to axial compression. International Journal of Engineering Science 99:92–106. doi:http://doi.org/10.1016/j.ijengsci.2015.10.010.
   Web of Science ®Google Scholar
• Sahmani, S., and M. M. Aghdam. 2017a. Temperature-dependent nonlocal instability of hybrid FGM exponential shear deformable nanoshells including imperfection sensitivity. International Journal of Mechanical Sciences 122:129–42. doi:http://doi.org/10.1016/j.ijmecsci.2017.01.009.
   Web of Science ®Google Scholar
• Sahmani, S., and M. M. Aghdam. 2017b. Nonlinear vibrations of pre- and post-buckled lipid supramolecular micro/nano-tubules via nonlocal strain gradient elasticity theory. Journal of Biomechanics 65:49–60. 10.1016/j.jbiomech.2017.09.033.
   PubMed Web of Science ®Google Scholar
• Sasaki, M., Y. Wang, T. Hirano, and T. Hirai. 1989. Design of SiC/C functionally gradient material and its preparation by chemical vapor deposition. Journal of the Ceramic Society of Japan 97 (1125):539–43. doi:10.2109/jcersj.97.539.
   Google Scholar
• Shariat, B., R. Javaheri, and M. R. Eslami. 2005. Buckling of Imperfect Functionally Graded Plates under In-plane Compressive Loading. Thin-Walled Structures 43 (7):1020–36. doi:10.1016/j.tws.2005.01.002.
   Web of Science ®Google Scholar
• Shimpi, R. P., H. Arya, and N. K. Naik. 2003. A higher order displacement model for the plate analysis. Journal of Reinforced Plastics and Composites. 22 (18):1667–88. doi:10.1177/073168403027618.
   Web of Science ®Google Scholar
• Sobhy, M. 2020. Size dependent hygro-thermal buckling of porous FGM sandwich microplates and microbeams using a novel four-variable shear deformation theory. International Journal of Applied Mechanics 12 (02):2050017. doi:10.1142/S1758825120500179.
   Google Scholar
• Suresh, S, and A. Mortensen. 1998. Fundamental of functionally graded materials: Processing and thermomechanical behavior of graded metals and metal-ceramic composites. London: IOM Communications Ltd. ISBN: 1861250630
   Google Scholar
• Thai, H. T., and D. H. Choi. 2012. An efficient and simple refined theory for buckling analysis of functionally graded plates. Applied Mathematical Modelling 36 (3):. 008–22. 10.1016/j.apm.2011.07.062.
   Web of Science ®Google Scholar
• Thinh, T. I., T. M. Tu, T. H. Quoc, and N. V. Long. 2016. Vibration and buckling analysis of functionally graded plates using new eight-unknown higher order shear deformation theory. Latin American Journal of Solids and Structures 13 (3):456–77. doi:10.1590/1679-78252522.
   Web of Science ®Google Scholar
• Touratier, M. 1991. An efficient standard plate theory. International Journal of Engineering Science 29 (8):901–16. doi:10.1016/0020-7225(91)90165-Y.
   Web of Science ®Google Scholar
• Yang, J., K. M. Liew, and S. Kitipornchai. 2005. Second-order statistics of the elastic buckling of functionally graded rectangular plates. Composites Science and Technology 65 (7-8):1165–75. doi:10.1016/j.compscitech.2004.11.012.
   Web of Science ®Google Scholar
• Yang, J., and H. S. Shen. 2003. Nonlinear bending analysis of shear deformable functionally graded plates subjected to thermo-mechanical loads under various boundary conditions. Composites Part B: Engineering 34 (2):103–15. doi:10.1016/S1359-8368(02)00083-5.
   Web of Science ®Google Scholar
• Zenkour, A. M. 2005a. A comprehensive analysis of functionally graded sandwich plates: Part 1-Deflection and stresses. International Journal of Solids and Structures 42 (18-19):5224–42. doi:10.1016/j.ijsolstr.2005.02.015.
   Web of Science ®Google Scholar
• Zenkour, A. M. 2005b. A comprehensive analysis of functionally graded sandwich plates: Part 2-Buckling and free vibration. International Journal of Solids and Structures 42 (18-19):5243–58. doi:10.1016/j.ijsolstr.2005.02.016.
   Web of Science ®Google Scholar
• Zhao, X., Y. Y. Lee, and K. M. Liew. 2009. Mechanical and thermal buckling analysis of functionally graded plates. Composite Structures 90 (2):161–71. doi:10.1016/j.compstruct.2009.03.005.
   Web of Science ®Google Scholar
• Zhu, J., Z. Lai, Z. Yin, J. Jeon, and S. Lee. 2001. Fabrication of ZrO2–NiCr functionally graded material by powder metallurgy. Materials Chemistry and Physics 68 (1-3):130–5. doi:10.1016/S0254-0584(00)00355-2.
   Web of Science ®Google Scholar