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.
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Rogowski, B. The transient analysis of a conducting crack in magneto-electro-elastic half-space under anti-plane mechanical and in-plane electric and magnetic impacts. Arch Appl Mech 85, 29–50 (2015). https://doi.org/10.1007/s00419-014-0898-y
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DOI: https://doi.org/10.1007/s00419-014-0898-y