Abstract
In this paper, we perform a geo- metrically nonlinearanalysis 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. Thecomputationalcost islow and requires neither the connectivity of mesh in the domain/boundary nor integrations of funda- mental/particular solutions. The coupled nonlin- ear 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 dif- ferential equations. Numerical verifications are given to demonstrate the efficiency and accuracy of the proposed method in comparing with exact solutionsand results from using thefinite element software (ABAQUS). Keyword: large deformation, Reissner-Mindlin plate theory, meshless collocation, radial basis functions.
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