### 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.

Original language | English |
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Pages (from-to) | 77-97 |

Number of pages | 21 |

Journal | CMES - Computer Modeling in Engineering and Sciences |

Volume | 30 |

Issue number | 2 |

State | Published - 2008 |

### Keywords

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

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## Cite this

*CMES - Computer Modeling in Engineering and Sciences*,

*30*(2), 77-97.