TY - EJOU
AU - Sladek, J.
AU - Sladek, V.
AU - Zhang, Ch.
AU - Solek, P.
TI - Application of the MLPG to Thermo-Piezoelectricity
T2 - Computer Modeling in Engineering \& Sciences
PY - 2007
VL - 22
IS - 3
SN - 1526-1506
AB - A meshless method based on the local Petrov-Galerkin approach is proposed for the solution of boundary value problems for coupled thermo-electro-mechanical fields. Transient dynamic governing equations are considered here. To eliminate the time-dependence in these equations, the Laplace-transform technique is applied. Material properties of piezoelectric materials are influenced by a thermal field. It is leading to an induced nonhomogeneity and the governing equations are more complicated than in a homogeneous counterpart. Two-dimensional analyzed domain is subdivided into small circular subdomains surrounding nodes randomly spread over the whole domain. A unit step function is used as the test functions in the local weak-form. The derived local integral equations (LIEs) have boundary-domain integral form. The moving least-squares (MLS) method is adopted for the approximation of the physical quantities in the LIEs. The Stehfest's inversion method is applied to obtain the final time-dependent solutions.
KW - Meshless local Petrov-Galerkin method (MLPG)
KW - Moving least-squares interpolation
KW - piezoelectric solids
KW - orthotropic properties
KW - transient thermal load
KW - Laplace-transform
DO - 10.3970/cmes.2007.022.217