Three-dimensional non-axisymmetric behavior of a penny shaped crack in a piezoelectric strip subjected to in-plane loads |
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| Institution: | 1. Department of Chemical and Materials Engineering, University of Alberta, Edmonton, AB T6G 1H9, Canada;2. School of Science, Harbin Institute of Technology, Shenzhen 518055, China;3. Department of Mechanical Engineering, University of Alberta, Edmonton, AB T6G 2G8, Canada;1. Department of Mechanical Systems Engineering, University of the Ryukyus, 1 Senbaru, Nishihara-cho, Nakagami-gun, Okinawa 903-0213, Japan;2. Department of Mechanical Engineering, Kyushu Institute of Technology, 1-1 Sensui-cho, Tobata-ku, Kitakyushu-shi, Fukuoka 804-8550, Japan;1. Department of Materials Science and Engineering, Carnegie Mellon University, Pittsburgh, PA, 15213, USA;2. Aix-Marseille Univ, CNRS, CINaM, Marseille, France;3. NCEM-Molecular Foundry, LBNL, Berkeley, CA, 94720, USA;1. Henan Key Engineering Laboratory for Anti-fatigue Manufacturing Technology and School of Mechanical Engineering, Zhengzhou University, Zhengzhou 450001, China;2. School of Mechanics and Engineering Science, Zhengzhou University, Zhengzhou 450001, China |
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| Abstract: | The behavior of a penny shaped crack in a three-dimensional piezoelectric ceramic strip under non-axisymmetric in-plane normal mechanical and electrical loads is analyzed based on the continuous electric boundary conditions of the crack surface. The potential theory, Hankel transform and Fourier series are used to obtain the systems of dual integral equations, which are then expressed as Fredholm integral equations. The singular mechanical and electric fields and all mode-I field intensity factors are obtained, and the numerical values of various field intensity factors for PZT-6B piezoelectric ceramic are shown graphically for an uniform load and a pair of concentrated load, respectively. |
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