Boundary element method for magneto-electro-elastic laminates

Abstract

A boundary integral formulation and its numerical implementation are presented for the analysis of magneto-electro-elastic media. The problem is formulated by using a suitable set of generalized variables. The governing boundary integral equation is obtained by generalizing the reciprocity theorem to the magneto-electro-elasticity. The fundamental solutions are calculated through a modified Lekhnitskii’s approach, reformulated in terms of generalized magneto-electroelastic displacements. To assess the reliability and effectiveness of the formulation, some numerical analyses have been carried out and the convergence of the method has been studied. The multidomain approach has been developed for the analysis of multilayered structures. Obtained numerical results show good agreement with those found in the literature.