Electroelastic analysis of a penny-shaped crack in a piezoelectric ceramic under mode I loading |
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Authors: | S Lin F Narita Y Shindo |
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Institution: | Department of Materials Processing, Graduate School of Engineering, Tohoku University, Aoba-yama 02, Sendai 980-8579, Japan |
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Abstract: | Following the theory of linear piezoelectricity, we consider the electroelastic problem for a piezoelectric ceramic with a penny-shaped crack under mode I loading. The problem is formulated by means of Hankel transform and the solution is solved exactly. The stress intensity factor, energy release rate and energy density factor for the exact and impermeable crack models are expressed in closed form and compared for a P-7 piezoelectric ceramic. Based on current findings, we suggest that the energy release rate and energy density factor criteria for the exact crack model are superior to fracture criteria for the impermeable crack model. |
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Keywords: | Elasticity Hankel transforms Piezoelectric ceramics Penny shaped crack Stress intensity factor Energy release rate Energy density factor Smart materials |
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