Superposition Buckling Analysis of Rectangular Plates Composed of Functionally Graded Materials Subjected to Non-Uniform Distributed In-Plane Loading

Author:

Najafizadeh M M1,Mahdavian M1,Khazaeinejad P1

Affiliation:

1. Department of Mechanical Engineering, Arak Branch, Islamic Azad University, Arak, Iran

Abstract

In this research, mechanical buckling of rectangular plates of functionally graded materials (FGMs) is considered. Equilibrium and stability equations of an FGM rectangular plate under uniform in-plane compression are derived. For isotropic materials, convergent buckling loads have been presented for non-uniformly compressed rectangular plates based on a rigorous superposition Fourier solution for the in-plane Airy stress field and Galerkin's approach for stability analysis. Results for isotropic cases are compared with reference articles and finite-element method solution. Finally, the results are achieved for a sample of FGM as well as the research on the effect of power law index on buckling loads.

Publisher

SAGE Publications

Subject

Mechanical Engineering

Cited by 8 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Nonlinear buckling and post-buckling analyses of functionally graded circular shallow arches;Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science;2023-12-12

2. Rigorous plane-stress solution and buckling analysis of rectangular functionally graded plates subjected to non-uniform edge loads;Mechanics Based Design of Structures and Machines;2023-03-30

3. On the Solution to Pre- Buckling of a Thin Rectangular Plate Subjected to a Thick Strip in-plane Loading;WSEAS TRANSACTIONS ON HEAT AND MASS TRANSFER;2021-10-27

4. BUCKLING STABILITY ASSESSMENT OF PLATES UNDER UNIAXIAL COMPRESSION;Advances in Science and Technology Research Journal;2018-06-01

5. Temperature-dependent nonlinear behaviour of thin rectangular plates exposed to through-depth thermal gradients;Composite Structures;2015-11

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