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Geometrically Nonlinear Analysis of Reissner-Mindlin Plate by Meshless Computation

P. H. Wen1, Y. C. Hon2
Department of Engineering, Queen Mary, University of London, UK
Corresponding author. Department of Mathematics, City University of Hong Kong, HKSAR, China

Computer Modeling in Engineering & Sciences 2007, 21(3), 177-192. https://doi.org/10.3970/cmes.2007.021.177

Abstract

In this paper, we perform a geometrically nonlinear analysis of Reissner-Mindlin plate by using a meshless collocation method. The use of the smooth radial basis functions (RBFs) gives an advantage to evaluate higher order derivatives of the solution at no cost on extra-interpolation. The computational cost is low and requires neither the connectivity of mesh in the domain/boundary nor integrations of fundamental/particular solutions. The coupled nonlinear terms in the equilibrium equations for both the plane stress and plate bending problems are treated as body forces. Two load increment schemes are developed to solve the nonlinear differential equations. Numerical verifications are given to demonstrate the efficiency and accuracy of the proposed method in comparing with exact solutions and results from using the finite element software (ABAQUS).

Keywords

large deformation, Reissner-Mindlin plate theory, meshless collocation, radial basis functions.

Cite This Article

Wen, P. H., Hon, Y. C. (2007). Geometrically Nonlinear Analysis of Reissner-Mindlin Plate by Meshless Computation. CMES-Computer Modeling in Engineering & Sciences, 21(3), 177–192.



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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