The transient analysis of a conducting crack in magneto-electro-elastic half-space under anti-plane mechanical and in-plane electric and magnetic impacts

Abstract

This paper investigated the fracture behavior of a magneto-electro-elastic material subjected to transient electrical, magnetic and mechanical loads. The "smart" medium contains a straight-line crack, which is parallel to its poling direction and free boundary surface. The Fourier and Laplace transform techniques are used to reduce the problem to the solution of one Fredholm integral equation in Laplace domain and second equation in real domain. The Laplace inversion yields the result in the time domain. The equation in real domain is solved exactly. The semipermeable crack-face magneto-electric boundary conditions are utilized. Field intensity factors of stress, electric displacement, magnetic induction, crack displacement, electric and magnetic potentials and the energy release rate are determined. The electric displacement and magnetic induction of crack interior are discussed. Strong coupling between stress and electric and magnetic field near crack tips has been found. Numerical results are presented, and some conclusions are drawn.

Effects of crack surface electrostatic tractions on the fracture behaviour of magnetoelectric composite materials

“…Hu et al (2015) investigated interface crack problem by extending the concept of Dugdale crack model and Yoffe model to a moving crack between two dissimilar magnetoelectroelastic materials. For more contributions in the literature on the fracture mechanics of magnetoelectric composite materials, see Wang and Shen (2002), Gao et al (2003), Sih and Song (2003), Qin (2004), Soh and Liu (2005), Ootao and Tanigawa (2005), Tupholme (2009), Rojas-Díaz et al ( 2012), Hu et al (2014), Sladek et al (2015), Bhargava et al (2015), Rogowski (2015) and Ma et al (2015).…”

Green’s function for a multifield material with a heat source

“…The exact solutions related to crack and contact problems of multifield materials were recently presented by Rogowski (2012Rogowski ( -2015 for instance.…”