Finite element simulation of a polycrystalline ferroelectric based on a multidomain single crystal switching model |
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| Institution: | 1. Forschungszentrum Karlsruhe, Institute for Materials Research II, Postfach 3640, 76021 Karlsruhe, Germany;2. Institute of Solid Mechanics, University of Technology Dresden, 01062 Dresden, Germany;3. Department of Mechanical and Environmental Engineering, University of California, Santa Barbara, CA 93106, USA;1. Department of Civil Engineering & Engineering Mechanics, Columbia University, New York, NY 10027, United States;2. Dipartimento di Ingegneria, Università di Ferrara, Via Saragat 1, 44122 Ferrara, Italy;1. School of Mechanical Engineering, Zhengzhou University, Zhengzhou 450001, China;2. Henan Key Engineering Laboratory for Anti-fatigue Manufacturing Technology, Zhengzhou 450001, China;1. Department of Engineering Mechanics, School of Aeronautics and Astronautics, Zhejiang University, 38 Zheda Road, Hangzhou 310007, China;2. Department of Astronautic Science and Mechanics, School of Aeronautics and Astronautics, Harbin Institute of Technology, Harbin 150001, China;3. Department of Mechanical Engineering and Science, Kyoto University, Nishikyo-ku, Kyoto 615-8540, Japan;4. Key Laboratory of Soft Machines and Smart Devices of Zhejiang Province, Zhejiang University, 38 Zheda Road, Hangzhou 310007, China |
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| Abstract: | In this paper, we compute the constitutive behavior of a ferroelectric ceramic by a plane strain finite element model, where each element represents a single grain in the polycrystal. The properties of a grain are described by the microscopic model for switching in multidomain single crystals of ferroelectric materials presented by Huber et al. J. Mech. Phys. Solids 47 (1999) 1663]. The poling behavior of the polycrystal is obtained by employing the finite element formulation for electromechanical boundary value problems developed by Landis Int. J. Numer. Meth. Eng. 55 (2002) 613]. In particular, we address the influence of the single grain properties and the interaction between grains, respectively. |
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