@Article{cmes.2007.022.217,
AUTHOR = {J.  Sladek, V.  Sladek, Ch.  Zhang, P.  Solek},
TITLE = {Application of the MLPG to Thermo-Piezoelectricity},
JOURNAL = {Computer Modeling in Engineering \& Sciences},
VOLUME = {22},
YEAR = {2007},
NUMBER = {3},
PAGES = {217--234},
URL = {http://www.techscience.com/CMES/v22n3/25059},
ISSN = {1526-1506},
ABSTRACT = {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.},
DOI = {10.3970/cmes.2007.022.217}
}