Open Access

ARTICLE

Thermal Analysis of Reissner-Mindlin Shallow Shells with FGM Properties by the MLPG

J. Sladek¹, V. Sladek¹, P. Solek², P.H. Wen³, S.N. Atluri⁴

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.
4 Department of Mechanical and Aerospace Engineering, University of California at Irvine, Irvine, CA 92697, USA.

Computer Modeling in Engineering & Sciences 2008, 30(2), 77-98. https://doi.org/10.3970/cmes.2008.030.077

Abstract

A meshless local Petrov-Galerkin (MLPG) method is applied to solve problems of Reissner-Mindlin shells under thermal loading. Both stationary and thermal shock loads are analyzed here. Functionally graded materials with a continuous variation of properties in the shell thickness direction are considered here. 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 base plane of the shell 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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