Mode I crack growth rate for yield strip model of a narrow piezoelectric ceramic body |
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Authors: | 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: | A crack growth rate equation is found for a finite crack in a narrow transversely isotropic piezoelectric ceramic body under tensile loading. Use is made of the yield strip model. The crack is situated in the mid-plane and is parallel to the edges of the body. Integral transforms are applied to reduce the problem to a Fredholm integral equation of the second kind. The accumulated plastic displacement criterion is applied to crack growth at low stress levels. This results in a small crack growth rate equation with fourth-power stress intensity factor dependence. Numerical examples are given for piezoelectric ceramics and the crack growth rates are plotted as a function of body height to crack length ratio for various values of the electrical loads. |
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