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