Fracture of piezoelectromagnetic materials |
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| Authors: | Bao-Lin Wang Yiu-Wing Mai |
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| Institution: | a Center for Advanced Materials Technology (CAMT), School of Aerospace, Mechanical and Mechatronic Engineering J07, The University of Sydney, Sydney NSW 2006, Australia;b Department of Manufacturing Engineering and Engineering Management, City University of Hong Kong, Tat Chee Avenue, Kowloon Tong, Hong Kong |
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| Abstract: | The crack problem in a medium possessing coupled piezoelectric, piezomagnetic and magnetoelectric effects is considered. A conservative integral is derived based on the governing equations for magnetoelectroelastic media. Closed-form solution is obtained for an anti-plane crack in an infinite medium. The conservative integral is used to obtain the path-independent integral near the crack tip. Expressions for stresses, electric displacements and magnetic inductions in the vicinity of a crack tip are derived. It is found that the path-independent integral around the crack tip equals the energy release rate. In the absence of applied mechanical loads, the energy release rate is always negative. |
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| Keywords: | Fracture mechanics Piezoelectric Piezomagnetic Magnetoelectroelastic Crack |
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