Boundary Element Method for Magneto Electro Elastic Laminates

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, namely the generalized displacements, which are comprised of mechanical displacements and electric and magnetic scalar potentials, and generalized tractions, that is mechanical tractions, electric displacement and magnetic induction. 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 magnetoelectro-elastic 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. Numerical results obtained show good agreement with those found in the literature. keyword: Magneto-electro-elastic materials; Boundary element method; Laminates modeling.

[1]  A. Milazzo,et al.  Multidomain boundary integral formulation for piezoelectric materials fracture mechanics , 2001 .

[2]  Ernian Pan,et al.  Exact solutions for magneto-electro-elastic laminates in cylindrical bending , 2003 .

[3]  Qun Guan,et al.  Two-dimensional analysis of piezoelectric/piezomagnetic and elastic media , 2005 .

[4]  Ya-Peng Shen,et al.  The general solution of three-dimensional problems in magnetoelectroelastic media , 2002 .

[5]  S. G. Lekhnit︠s︡kiĭ.  Theory of elasticity of an anisotropic body , 1981 .

[6]  Ernian Pan,et al.  FREE VIBRATIONS OF SIMPLY SUPPORTED AND MULTILAYERED MAGNETO-ELECTRO-ELASTIC PLATES , 2002 .

[7]  E. Pan,et al.  Exact Solution for Simply Supported and Multilayered Magneto-Electro-Elastic Plates , 2001 .

[8]  H. Ding,et al.  Green's functions for two-phase transversely isotropic magneto-electro-elastic media , 2005 .

[9]  H. Ding,et al.  Elastic Waves in a Hybrid Multilayered Piezoelectric Plate , 2005 .

[10]  D. M. Barnett,et al.  Dislocations and line charges in anisotropic piezoelectric insulators , 1975 .

[11]  N. Ganesan,et al.  Free vibration studies of simply supported non-homogeneous functionally graded magneto-electro-elastic finite cylindrical shells , 2005 .

[12]  Jungho Ryu,et al.  Magnetoelectric Effect in Composites of Magnetostrictive and Piezoelectric Materials , 2002 .

[13]  E. Pan,et al.  Exact solution for functionally graded and layered magneto-electro-elastic plates , 2005 .

[14]  Ding Haojiang,et al.  The elliptical Hertzian contact of transversely isotropic magnetoelectroelastic bodies , 2003 .

[15]  G. Buchanan.  Free vibration of an infinite magneto-electro-elastic cylinder , 2003 .

[16]  A. Milazzo,et al.  Boundary Element Solution for Free Edge Stresses in Composite Laminates , 1997 .

[17]  R. Garcialage.  Layerwise partial mixed finite element analysis of magneto-electro-elastic plates , 2004 .

[18]  Linfeng Chen,et al.  State vector approach to analysis of multilayered magneto-electro-elastic plates , 2003 .

[19]  Ding Haojiang,et al.  A boundary integral formulation and solution for 2D problems in magneto-electro-elastic media , 2004 .

[20]  Weiqiu Chen,et al.  On free vibration of non-homogeneous transversely isotropic magneto-electro-elastic plates , 2005 .