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Journal of Intelligent Material Systems and Structures
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Nonlinear Constitutive Law for Ferroelectric-Ferroelastic Materials and its Finite Element Formulation

Yao-Chen Li

School of Aerospace Engineering and Applied Mechanics, Key Laboratory of Solid Mechanics of Ministry of Education, Tongji University, Shanghai 200092, PR China, yaochenli_tj{at}sina.com, yaochenli{at}mail.tongji.edu.cn

The hysteresis phenomena of ferroelectric-ferroelastic materials in polarization procedure are investigated. Some assumptions are presented based on published experimental data. The electrical yielding criterion, mechanical yielding criterion, and isotropic hardening model are established. The flow theory in incremental forms in polarization procedure is presented. The nonlinear constitutive law for electrical-mechanical coupling is proposed phenomenologically. Finally, the nonlinear constitutive law expressed in the form of matrices and vectors, which is immediately associated with finite element analysis, is formulated. The finite element calculation and computational results of example problems will be given later.

Key Words: ferroelectric-ferroelastic material • constitutive law • nonlinear • finite element method

Journal of Intelligent Material Systems and Structures, Vol. 16, No. 7-8, 659-671 (2005)
DOI: 10.1177/1045389X05051046


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