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