Interfacial penny-shaped crack between magnetoelectroelastic thin film and elastic substrate

Article type: Research Article

Authors: Li, Y.S.^{a; *} | Liu, L.B.^a | Meng, W.Q.^a | Cai, Z.Y.^a

Affiliations: [a] College of Civil Engineering, Hebei University of Engineering, Handan, Hebei, China

Correspondence: [*] Corresponding author: Dr. Y.S. Li, College of Civil Engineering, Hebei University of Engineering, Handan 056038, Hebei, China. E-mail: liyshbue@163.com

Abstract: In this paper, an interfacial penny-shaped crack between magnetoelectroelastic thin film and elastic substrate subjected to mechanical and electric loads is investigated. Four kinds of crack-face magnetoelectrically boundary conditions are adopted. Using Hankel transform technique, the mixed boundary value problem is reduced to a system of singular integral equations. The integral equations are further reduced to a system of algebraic equations with the aid of Jacobi polynomials. The stress intensity factor and energy release rate are determined. Numerical results reveal the effects of electric and magnetic loadings, magnetoelectroelastic boundary conditions and material parameters of composite on crack propagation and growth. The results seem useful for design of the magnetoelectroelastic composite structures and devices of high performance.

Keywords: Interfacial crack, penny-shaped crack, Hankel transform, energy release rate, magnetoelectroelastic material

DOI: 10.3233/JAE-131680

Journal: International Journal of Applied Electromagnetics and Mechanics, vol. 42, no. 4, pp. 501-517, 2013