Transient thermal analysis of functionally graded shallow shells by the MLPG

Jan Sladek¹, Vladimir Sladek¹, Peter Solek²

¹Institute of Construction and Architecture, Slovak Academy of Sciences, 84503 Bratislava, Slovakia. ²Department of Mechanics, Slovak Technical University, Bratislava, Slovakia.

DOI:

https://doi.org/10.7494/cmms.2009.2.0226

Abstract:

A meshless local Petrov-Galerkin (MLPG) method is applied to solve problems of Reissner-Mindlin shells under a transient thermal load. 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 in the base plane of the shell 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 as:

Sladek, J., Sladek, V., Solek, P., (2009). Transient thermal analysis of functionally graded shallow shells by the MLPG. Computer Methods in Materials Science, 9(2), 171 – 177. https://doi.org/10.7494/cmms.2009.2.0226

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