TY - EJOU
AU - Sladek, J.
AU - Sladek, V.
AU - Wen, P. H.
AU - Aliabadi, M.H.
TI - Meshless Local Petrov-Galerkin (MLPG) Method for Shear Deformable Shells Analysis
T2 - Computer Modeling in Engineering \& Sciences
PY - 2006
VL - 13
IS - 2
SN - 1526-1506
AB - A meshless local Petrov-Galerkin (MLPG) method is applied to solve bending problems of shear deformable shallow shells described by the Reissner theory. Both static and dynamic loads are considered. For transient elastodynamic case the Laplace-transform is used to eliminate the time dependence of the field variables. A weak formulation with a unit test function transforms the set of governing equations into local integral equations on local subdomains in the mean surface of the shell. Nodal points are randomly spread on that surface 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. Unknown Laplace-transformed quantities are computed from the local boundary integral equations. The time-dependent values are obtained by the Stehfest's inversion technique.
KW - Reissner theory
KW - local boundary integral equations
KW - Laplace-transform
KW - Stehfest's inversion
KW - MLS approximation
KW - static and impact loads
DO - 10.3970/cmes.2006.013.103