||CMES: Computer Modeling in Engineering & Sciences, Vol. 28, No. 1, pp. 57-, 2008
||Full length paper in PDF format. Size = 341,293 bytes
||Local boundary integral equations, Laplace-transform, Stehfest's inversion, MLS approximation, functionally graded material, orthotropic properties
||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.