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Modeling electro-mechanical properties of layered electrets: application of the finite-element method
Institution:1. School of Materials Science and Engineering, Harbin Institute of Technology, Harbin 150001, PR China;2. National Key Laboratory of Science and Technology on Precision Heat Processing of Metals, Harbin Institute of Technology, Harbin 150001, PR China;1. Key Laboratory of Engineering Dielectric and Applications (Ministry of Education), School of Applied Science, Harbin University of Science and Technology, Harbin 150080, China;2. School of Materials Science and Engineering, Harbin Institute of Technology at Weihai, Weihai 264209, China;1. Institute of Advanced Materials and Technology, University of Science and Technology Beijing, Beijing 100083, PR China;2. Department of Physics, Zhejiang Normal University, Jinhua 321004, Zhejiang Province, PR China;1. Department of Computer Engineering, College of Computer and Information Sciences, King Saud University, Riyadh, Saudi Arabia;2. Institute of Structural Mechanics, Bauhaus-Universität Weimar, Marienstr. 15, 99423 Weimar, Germany;3. Department of Mechanical Engineering, Arak University of Technology, 38181-41167, Arak, Iran;4. Institute of Continuum Mechanics, Leibniz Universität Hannover, Appelstr. 11, 30167 Hannover, Germany
Abstract:We present calculations on the deformation of two- and three-layer electret systems. The electrical field is coupled with the stress–strain equations by means of the Maxwell stress tensor. In the simulations, two-phase systems are considered, and intrinsic relative dielectric permittivity and Young's modulus of the phases are altered. The numerically calculated electro-mechanical activity is compared to an analytical expression. Simulations are performed on two- and three-layer systems. Various parameters in the model are systematically varied and their influence on the resulting piezoelectricity is estimated. In three-layer systems with bipolar charge, the piezoelectric coefficients exhibit a strong dependence on the elastic moduli of the phases. However, with mono-polar charge, there is no significant piezoelectric effect. A two-dimensional simulation illustrated that higher piezoelectric coefficients can be obtained for non-uniform surface charges and low Poisson's ratio of phases. Irregular structures considered exhibit low piezoelectric activity compared to two-layer structures.
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