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
Article (PDF):
Keywords:
Meshless local Petrov-Galerkin method, Mindlin theory, Orthotropic properties, Transient thermal
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