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Crack propagation in a four-parameter piezoelectric medium
Affiliation:1. Department of Physics, University of Bologna, Via Irnerio 46, 40126 Bologna, Italy;2. DISTART, University of Bologna, Viale Risorgimento 2, 40136 Bologna, Italy;1. State Key Laboratory of Geomechanics and Geotechnical Engineering, Institute of Rock and Soil Mechanics, Chinese Academy of Sciences, Wuhan 430071, China;2. Key Laboratory of Urban Security and Disaster Engineering, Ministry of Education, Beijing University of Technology, Beijing 100124, China;1. DICAM, Department, School of Engineering and Architecture, University of Bologna, Italy;2. University of Porto - Faculty of Engineering Rua Dr. Roberto Frias 4200-465 Porto, Portugal;1. Department of Mechanical and Industrial Engineering, Indian Institute of Technology Roorkee, Uttarakhand, India;2. Reactor Structures Section, Reactor Safety Division, BARC, Mumbai, India
Abstract:The simplified three-parameter formulation of a piezoelectric medium proposed by Gao et al. [Gao, H.J., Zhang, T.Y., Tong, P., 1997. Local and global energy release rates for an electrically yielded crack in a piezoelectric ceramic. J. Mech. Phys. Solids 45, 491–510] is extended to a four-parameter modified model in order to point out the features of a steadily propagating Griffith crack. It is assumed that the crack is electro-elastically free and the medium is subjected to a generalized electro-mechanical loading applied at infinity. The complete solution is provided under impermeable and permeable boundary conditions and results are presented in order to show the main dynamical features.
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