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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

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


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.


Cite This Article

Sladek, J., Sladek, V., Solek, P., Wen, P., Atluri, S. (2008). Thermal Analysis of Reissner-Mindlin Shallow Shells with FGM Properties by the MLPG. CMES-Computer Modeling in Engineering & Sciences, 30(2), 77–98.

cc 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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