Open Access

ARTICLE

Thermal Bending of Reissner-Mindlin Plates by the MLPG

J. Sladek¹, V. Sladek¹, P. Solek², P.H. Wen³

1 Institute of Construction and Architecture, Slovak Academy of Sciences, 84503 Bratislava, Slovakia
2 Department of Mechanics, Slovak Technical University, Bratislava, Slovakia
3 School of Engineering and Materials Sciences, Queen Mary University of London, Mile End, London E14NS, U.K.

Computer Modeling in Engineering & Sciences 2008, 28(1), 57-76. https://doi.org/10.3970/cmes.2008.028.057

Abstract

A meshless local Petrov-Galerkin (MLPG) method is applied to solve thermal bending problems described by the Reissner-Mindlin theory. Both stationary and thermal shock loads are analyzed here. Functionally graded material properties with continuous variation in the plate thickness direction are considered here. The Laplace-transformation is used to treat the time dependence of the variables for transient problems. A weak formulation for the set of governing equations in the Reissner-Mindlin theory is transformed into local integral equations on local subdomains in the mean surface of the plate by using a unit test function. Nodal points are randomly spread on the surface of the plate and each node is surrounded by a circular subdomain to which local integral equations are applied. The meshless approximation based on the Moving Least-Squares (MLS) method is employed for the implementation.

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Keywords

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