Electroelastic analysis of an interface anti-plane shear crack in a layered piezoelectric plate |
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Authors: | X-F Li GJ Tang |
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Affiliation: | a College of Mathematics and Physics, Hunan Normal University, Changsha, Hunan 410081, China b School of Aerospace and Materials Engineering, National University of Defence Technology, Changsha, Hunan 410073, China |
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Abstract: | The problem of an anti-plane interface crack in a layered piezoelectric plate composed of two bonded dissimilar piezoelectric ceramic layers subjected to applied voltage is considered. It is assumed that the crack is either impermeable or permeable. An integral transform technique is employed to reduce the problem considered to dual integral equations, then to a Fredholm integral equation by introducing an auxiliary function. Field intensity factors and energy release rate are obtained in explicit form in terms of the auxiliary function. In particular, by solving analytically a resulting singular integral equation, they are determined explicitly in terms of given electromechanical loadings for the case of two bonded layers of equal thickness. Some numerical results are presented graphically to show the influence of the geometric parameters on the field intensity factors and the energy release rate. |
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Keywords: | Piezoelectric plate Interface crack Electroelastic analysis Field intensity factors Energy release rate |
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