Penny shaped crack in a piezoelectric cylinder surrounded by an elastic medium subjected to combined in-plane mechanical and electrical loads |
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| Affiliation: | 1. Hebei University of Sc. and Techn., School of Mech. Eng., No. 26 Yuxiang Street, 050018 Shijiangzhuang, China;2. Dnipro State Agrarian and Economic University, Faculty of Eng. Techn., S. Efremov 25, 49600 Dnipro, Ukraine;3. Oles Honchar Dnipro National University, Faculty of Appl. Math., Gagarina 72, 49010 Dnipro, Ukraine;4. Oles Honchar Dnipro National University, Faculty of Mech. and Math., Gagarina 72, 49010 Dnipro, Ukraine;1. State Key Laboratory of Traction Power, Southwest Jiaotong University, Chengdu, Sichuan 610031, PR China;2. School of Mechanics and Engineering, Southwest Jiaotong University, Chengdu 610031, PR China;3. Institute of Applied Mechanics, University of Kaiserslautern, P.O. Box 3049, D-67653 Kaiserslautern, Germany;4. Department of Engineering Mechanics, Zhejiang University, Hangzhou 310027, PR China |
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| Abstract: | The fracture problem of a penny shaped crack in a piezoelectric ceramic cylinder surrounded by an infinite elastic medium under in-plane normal mechanical and electrical loads is considered with the electric continuous boundary conditions on the crack surface. By using the potential theory and Hankel transform, a system of dual integral equations is obtained, and expressed to a Fredholm integral equation of the second kind. The mechanical and electrical field equations and all sorts of field intensity factors of mode I are obtained, and the numerical values of various field intensity factors for PZT-6B piezoelectric ceramic surrounded by several different elastic media are graphically shown for a uniform load and a ring-shaped load, respectively. And the effects of the size of the piezoelectric cylinder and the elastic material properties on various field intensity factors are obtained. |
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