Crack tip field in piezoelectric/piezomagnetic media |
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| Institution: | 1. Department of Aerospace Engineering, Iowa State University, Ames, IA 50011, USA;2. Department of Mechanical Engineering, Indian Institute of Technology Kanpur, U.P. 208016, India;1. School of Aerospace Engineering and Applied Mechanics, Tongji University, 1239 Siping Road, Shanghai 200092, China;2. School of Science, Harbin Institute of Technology, Shenzhen 518055, China |
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| Abstract: | This paper considers the magnetoelectroelastic problem of a crack in a medium possessing coupled piezoelectric, piezomagnetic and magnetoelectric effects. Based on the extended Stroh formalism, the general two-dimensional solutions to the magnetoelectroelastic problem are obtained, involving five analytic functions of different variables. The magnetoelectroelastic field around the crack tip is given. It contains five modes of square root singularities. Expressions of the stresses, electric displacements and magnetic inductions in the vicinity of the crack tip are derived and the field intensity factors are provided. The path-independent conservative integral is derived. The energy release rate is written in terms of those field intensity factors. The explicit algebraic results are given for a special case of an anti-plane crack in a magnetoelectroelastic medium. |
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