TY  - EJOU
AU  - Sladek, J.  
AU  - Sladek, V.  
AU  - Solek, P.  
AU  - Wen, P.H.  

TI  - Thermal Bending of Reissner-Mindlin Plates by the MLPG
T2  - Computer Modeling in Engineering \& Sciences

PY  - 2008
VL  - 28
IS  - 1
SN  - 1526-1506

AB  - A meshless local Petrov-Galerkin (MLPG) method is applied to solve thermal bending problems described by the Reissner-Mindlin theory. Both stationary and thermal shock loads are analyzed here. Functionally graded material properties with continuous variation in the plate thickness direction are considered here. The Laplace-transformation is used to treat the time dependence of the variables for transient problems. 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 mean surface of the plate 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.
KW  - Local boundary integral equations
KW  -  Laplace-transform
KW  -  Stehfest's inversion
KW  -  MLS approximation
KW  -  functionally graded material
KW  -  orthotropic properties

DO  - 10.3970/cmes.2008.028.057