Thermal analysis of Reissner-Mindlin shallow shells with FGM properties by the MLPG

J. Sladek, V. Sladek, P. Solek, P. H. Wen, S. N. Atluri

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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.

Original languageEnglish
Pages (from-to)77-97
Number of pages21
JournalCMES - Computer Modeling in Engineering and Sciences
Issue number2
StatePublished - 2008


  • Functionally graded materials
  • Meshless local Petrov-Galerkin method (MLPG)
  • Moving least-squares (MLS) approximation
  • Thermal load


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