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Nonlinear Bending and Thermal Post-Buckling Analysis of FGM Beams Resting on Nonlinear Elastic Foundations

Da-Guang Zhang1,2, Hao-Miao Zhou1
College of Information Engineering, China Jiliang University, Hangzhou, 310018, China.
Corresponding author. Email: zhangdaguang2012@gmail.com

Computer Modeling in Engineering & Sciences 2014, 100(3), 201-222. https://doi.org/10.3970/cmes.2014.100.201

Abstract

A model of FGM beams resting on nonlinear elastic foundations is put forward by physical neutral surface and high-order shear deformation theory. Material properties are assumed to be temperature dependent and von Kármán strain-displacement relationships are adopted. Nonlinear bending and thermal postbuckling are given by multi-term Ritz method, and influences played by different supported boundaries, thermal environmental conditions, different elastic foundations, and volume fraction index are discussed in detail. It is worth noting that the effect of nonlinear elastic foundation increases with increasing deflection.

Keywords

Functionally graded materials, Physical neutral surface, Nonlinear elastic foundations, Nonlinear bending, Thermal post-buckling.

Cite This Article

Zhang, D., Zhou, H. (2014). Nonlinear Bending and Thermal Post-Buckling Analysis of FGM Beams Resting on Nonlinear Elastic Foundations. CMES-Computer Modeling in Engineering & Sciences, 100(3), 201–222.



This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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