Dynamic response of a cracked piezoelectric ceramic under arbitrary electro-mechanical impact |
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| Affiliation: | 1. Department of Engineering Mechanics, Tsinghua University, Beijing 100084, P.R.China;2. School of Engineering, University of Wales, Cardiff, Cardiff CF 2 1 XH, UK;1. State Key Lab of Organic–Inorganic Composites, Beijing University of Chemical Technology, Beijing 100029, China;2. State Key Laboratory of Chemical Resource Engineering, Beijing University of Chemical Technology, Beijing 100029, China;3. Beijing Key Laboratory of Energy Environmental Catalysis, Beijing University of Chemical Technology, Beijing 100029, China;1. National Engineering Research Center for Technology and Equipment of Green Coating, Lanzhou Jiaotong University, Lanzhou 730070, People’s Republic of China;2. School of Materials Science and Engineering, Lanzhou Jiaotong University, Lanzhou 730070, People’s Republic of China;3. College of New Materials and Chemical Engineering, Beijing Institute of Petrochemical Technology, Beijing 102617, People’s Republic of China;4. Key Laboratory of Semiconductor Materials Science, Institute of Semiconductors, Chinese Academy of Sciences, Beijing 100083, People’s Republic of China;1. Department of Mathematics ,Chandigarh University Gharuan, Mohali 140413, India;2. Department of Mathematics, Punjabi University, Patiala 147002, India |
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| Abstract: | The dynamic response of a cracked piezoelectric ceramic under in-plane electric and anti-plane mechanical impact is investigated by the integral transform method. The electric and mechanical loads are assumed to be arbitrary functions of time. It is shown that the dynamic crack-tip stress and electric displacement fields still have a square-root singularity. Numerical computations for the dynamic stress intensity factor show that the electric load has a significant influence on the dynamic response of stress field. On the other hand, the dynamic response of the electric field is determined solely by the applied electric field. The electric field will promote or retard the propagation of the crack depending on the time elapsed since the application of the external electro-mechanical loads. |
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