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Electromechanical impact of an impermeable parallel crack in a functionally graded piezoelectric strip
Institution:1. Department of Mechanical Engineering, Osaka Institute of Technology, 5-16-1 Omiya, Asahi-ku, Osaka 535-8585, Japan;2. Graduate School, Osaka Institute of Technology, 5-16-1 Omiya, Asahi-ku, Osaka 535-8585, Japan;3. Department of Technology Management, Osaka Institute of Technology, 5-16-1 Omiya, Asahi-ku, Osaka 535-8585, Japan;4. Department of Precision Engineering, Tokai University, 4-1-1 Kitakaname, Hiratsuka, Kanagawa 259-1292, Japan;1. Centre for Engineering Dynamics, School of Engineering, University of Liverpool, L69 3GH, United Kingdom;2. Institute for Risk and Uncertainty, University of Liverpool, L69 3GH, United Kingdom;3. School of Engineering, Manchester Metropolitan University, Manchester M1 5GD, United Kingdom;1. Graduate School at Shenzhen, Harbin Institute of Technology, Harbin 150001, PR China;2. School of Materials Science and Engineering, The University of New South Wales, Sydney, NSW 2052, Australia;1. Department of Mechanical Engineering, Mechatronics Faculty, Karaj Branch, Islamic Azad University, Karaj, Alborz, Iran;2. Faculty of Engineering, University of Zanjan, Zanjan, Iran;3. School of Mechanical Engineering, Iran University of Science and Technology, Narmak, Tehran, Iran;4. Department of Mechanical Engineering, Hashtgerd Branch, Islamic Azad University, Hashtgerd, Alborz, Iran
Abstract:The dynamic fracture problem for a functionally graded piezoelectric material (FGPM) strip containing a crack parallel to the free boundaries is considered in this study. It is assumed that the electroelastic properties of the strip vary continuously along the thickness direction of the strip, and that the strip is under the in-plane mechanical and electric impact. Integral transform techniques and dislocation density functions are employed to reduce the problem to the solutions of a system of singular integral equations. The dynamic stress and electric displacement intensity factors versus time are presented for various values of dimensionless parameters representing the crack size, the crack location, the material nonhomogeneity and the loading combination.
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