Dual reciprocity BEM for dynamic piezoelectricity

The piezoelectric phenomenon is widely utilized in many devices. An analysis of piezoelectric devices requires a solution of coupled mechanical and electrical partial differential equations. In this paper the boundary element method (BEM) is implemented to solve the eigenvalue two-dimensional problem of linear piezoelectricity. The piezoelectric material is modeled as: homogenous, transversal isotropic, linear elastic and dielectric. The numerical solution by the BEM requires fundamental solutions,which are derived using the Stroh formalism. The mass matrix of piezoelectric is computed by the dual reciprocity BEM. A numerical example shows that the dual reciprocity BEM formulation allows to analyze accurately dynamic problems of linear piezoelectricity. (© 2006 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)