The behavior of two parallel non-symmetric interface cracks in a magneto-electro-elastic material strip under an anti-plane shear stress loading

Article type: Research Article

Authors: Zhou, Zhen-Gong^{a; *} | Wang, Jia-Zhi^a | Wu, Lin-Zhi^a

Affiliations: [a] Center for Composite Materials and Structures, Harbin Institute of Technology, No. 2, Yikuang Street, P.O. Box 3010, Harbin, 150080, P.R. China

Correspondence: [*] Corresponding author. Tel.: +86 0451 86402396; Fax: +86 0451 86402386; E-mail: [email protected]

Abstract: In this paper, the behavior of two parallel non-symmetric interface cracks in a magneto-electro-elastic material strip subjected to a uniform anti-plane shear stress loading was studied using Schmidt method. The problem was formulated through Fourier transform into two pairs of dual integral equations, in which the unknown variables are jumps of displacements across crack surfaces. To solve the dual integral equations, the jumps of displacements across crack surfaces were directly expanded as a series of Jacobi polynomials. Finally, the relations among the electric filed, the magnetic flux field and the stress field were obtained. The solution of the present paper shows the effect of the distance between two parallel cracks, the thickness of the layers and the level distance between two center points of two parallel non-symmetric cracks upon the stress, electric displacement and magnetic flux intensity factors at crack tips. It is also revealed that the crack shielding effect presents in magneto-electro-elastic materials.

Keywords: Magneto-electro-elastic materials, parallel non-symmetric interface crack

DOI: 10.3233/JAE-2009-1011

Journal: International Journal of Applied Electromagnetics and Mechanics, vol. 29, no. 3-4, pp. 163-184, 2009