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Permeable cracks between two dissimilar piezoelectric materials |
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| Affiliation: | 1. Department of Applied Mechanics, University of Science and Technology Beijing, Beijing 100083, China;2. Department of Applied Mathematics, Qiqihar University, Qiqihar 161006, China;1. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai Key Laboratory of Mechanics in Energy Engineering, Department of Mechanics, Shanghai University, Shanghai 200072, China;2. Laboratory of Mechanics and Materials (LMM), Aristotle University of Thessaloniki, Thessaloniki GR-54124, Greece;3. Michigan Technological University, Houghton, MI 49931, USA;4. King Abdulaziz University, Jeddah 21589, Saudi Arabia;5. School of Mechanics and Engineering, Southwest Jiaotong University, Chengdu, 610031, China;6. International Laboratory for Modern Functional Materials, ITMO University, St. Petersburg 191002, Russia |
| Abstract: | An interfacial crack with electrically permeable surfaces between two dissimilar piezoelectric ceramics under electromechanical loading is investigated. An exact expression for singular stress and electric fields near the tip of a permeable crack between two dissimilar anisotropic piezoelectric media are obtained. The interfacial crack-tip fields are shown to consist of both an inverse square root singularity and a pair of oscillatory singularities. It is found that the singular fields near the permeable interfacial crack tip are uniquely characterized by the real valued stress intensity factors proposed in this paper. The energy release rate is obtained in terms of the stress intensity factors. The exact solution of stress and electric fields for a finite interfacial crack problem is also derived. |
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