On the crack face boundary conditions in electromechanical fracture and an experimental protocol for determining energy release rates |
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| Institution: | 1. Department of Aerospace Engineering and Engineering Mechanics, University of Texas at Austin, Austin, TX 78712-0235, USA;2. Department of Mechanical Engineering and Materials Department, University of California, Santa Barbara, CA 93106, USA;1. Division of Computational Mechanics, Ton Duc Thang University, Ho Chi Minh City, Viet Nam;2. Faculty of Civil Engineering, Ton Duc Thang University, Ho Chi Minh City, Viet Nam;3. Institute of Structural Mechanics, Bauhaus-University Weimar, 99423 Weimar, Germany;4. Institute of Conitnuum Mechanics, Leibniz University Hannover, Hannover, Germany;5. State Key Laboratory of Disaster Reduction in Civil Engineering, College of Civil Engineering, Tongji University, Shanghai 200092, China;1. Duy Tan University, Institute of Research & Development, 3 Quang Trung, Danang, Viet Nam;2. Department of Physics, University of Évora, Colégio Luís António Verney, Rua Romão Ramalho, 59, 7002-554 Évora, Portugal;3. Institute of Structural Mechanics, Bauhaus-University Weimar, Marienstraße 15, 99423 Weimar, Germany;4. Civil Engineering Department, College of Engineering, University of Babylon, Babylon, Iraq;5. ICIST/CERIS, Instituto Superior Técnico, Lisboa, Portugal;1. Institute of Systems Engineering, CAEP, Mianyang 621999, China;2. Shock and Vibration of Engineering Materials and Structures Key Laboratory of Sichuan Province, Mianyang 621999, China;1. Institute of Mechanics, Karlsruhe Institute of Technology, Germany;2. Chair of Solid Mechanics, University of Siegen, Germany |
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| Abstract: | The fracture mechanics of electromechanical materials has been investigated for well over a decade, yet there still exists controversy over the appropriate crack face boundary conditions for non-conducting cracks. In this paper an experimental protocol for measuring the energy release rate in a non-linear reversible electromechanical body is proposed and summarized. The potential results from the proposed experimental approach are capable of shedding light on the true physical nature of the conditions prevailing at the crack surface and in the space within the crack. The experimental procedure is simulated numerically for a linear piezoelectric specimen in a four point bending configuration subjected to electrical loading perpendicular to the crack. The focus of these investigations is on a comparison between the commonly used exact crack face boundary condition and the recently proposed energetically consistent boundary conditions. To perform the numerical calculation with a wide range of electrical and mechanical loadings, two efficient finite element formulations are presented for the general analysis of crack problems with non-linear crack face boundary conditions. Methods for the numerical determination of the crack tip energy release rate and the simulation of the experimental method for obtaining the total energy release rate are developed. Numerical results for the crack tip and total energy release rate are given for both the exact and energetically consistent boundary conditions. It is shown that the crack tip energy release rate calculated under energetically consistent boundary conditions is equal to the total energy release rate generated from the simulated experimental method. When the exact boundary conditions are used, there is no such agreement. |
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