Fracture Analysis of Magnetoelectroelastic Composite Materials


Article Preview

This paper presents a crack analysis of linear magnetoelectroelastic materials subjected to static loading conditions. To this end, an efficient boundary element method (BEM) is developed. Unlike many previous investigations published in literature, two-dimensional (2-D) linear magnetoelectroelastic materials possessing fully coupled piezoelectric, piezomagnetic and magnetoelectric effects are considered in this paper. A combination of the displacement BEM and the traction BEM is used in the present formulation. The displacement BEM is applied for the external boundary of the cracked solid, while the traction BEM is used for the crack-faces. A regularization technique is implemented to compute the strongly singular and hypersingular boundary integrals in the BEM. The electric displacement intensity factor (EDIF), the magnetic induction intensity factor (MIIF), the stress intensity factors (SIF), the mechanical strain energy release rate (MSERR) and the total energy release rate (TERR) are evaluated directly from the computed nodal values at discontinuous quarter point elements placed next to the crack tip. The accuracy of the BEM is verified by analytical solutions known in literature. Results are presented for a branched crack in a bending specimen subjected to combined magnetic-electric-mechanical loading conditions.



Key Engineering Materials (Volumes 348-349)

Edited by:

J. Alfaiate, M.H. Aliabadi, M. Guagliano and L. Susmel




R. Rojas-Díaz et al., "Fracture Analysis of Magnetoelectroelastic Composite Materials", Key Engineering Materials, Vols. 348-349, pp. 69-72, 2007

Online since:

September 2007




[1] C.W. Nan, Magnetoelectric effect in composite of piezoelectric and piezomagnetic phases, Phys. Rev. B 50 (1994) 6082-6088.


[2] B.L. Wang and Y.W. Mai, Crack tip field in piezoelectric/piezomagnetic media, Eur. J. Mech. A/Solids 22 (2003) 591-602.


[3] C.F. Gao, H. Kessler and H. Balke, Crack problems in magnetoelectroelastic solids. Part I: exact solution of a crack, Int. J. Engrg. Sci., 41 (2003) 969-981.


[4] F. García-Sánchez, A. Sáez and J. Domínguez, Anisotropic and piezoelectric materials fracture analysis by BEM, Computers and Structures 83 (2005) 804-820.


[5] X. Jiang and E. Pan, Exact solution for 2D polygonal inclusion problem in anisotropic magnetoelectroelastic full-, half-, and bimaterial-planes, International Journal of Solids and Structures 41 (2004) 4361-4382.


[6] Z.F. Song and G.C. Sih, Crack initiation behavior in magnetoelectroelastic composite under inplane deformation, J. Theoret. Appl. Fract. Mech. 39 (2003), 189-207.