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Nonlinear constitutive law for ferroelectric/ferroelastic material and its finite element realization
引用本文:LI YaoChen Department of Aerospace Engineering and Applied Mechanics,Tongji University,Shanghai 200092,China. Nonlinear constitutive law for ferroelectric/ferroelastic material and its finite element realization[J]. 中国科学G辑(英文版), 2007, 50(1): 70-86. DOI: 10.1007/s11433-007-2022-6
作者姓名:LI YaoChen Department of Aerospace Engineering and Applied Mechanics  Tongji University  Shanghai 200092  China
作者单位:LI YaoChen Department of Aerospace Engineering and Applied Mechanics,Tongji University,Shanghai 200092,China
基金项目:高等学校博士学科点专项科研项目
摘    要:
The hysteresis phenomena of ferroelectric/ferroelastic material in polarization procedure are investigated. Some assumptions are presented based on the 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 a form of matrices and vectors, which is immediately associated with finite element analysis, is formulated. In the example problem of a rectangular specimen subjected to a uniaxial electric field, the procedure from virgin state to fully polarized state is simulated. Afterward, a uniaxial compressive loading is applied to depolarizing the specimen. Results are in agreement with the experimental data.

收稿时间:2005-12-03
修稿时间:2006-07-17

Nonlinear constitutive law for ferroelectric/ferroelastic material and its finite element realization
Li YaoChen. Nonlinear constitutive law for ferroelectric/ferroelastic material and its finite element realization[J]. Science in China(Physics Astronomy), 2007, 50(1): 70-86. DOI: 10.1007/s11433-007-2022-6
Authors:Li YaoChen
Affiliation:Department of Aerospace Engineering and Applied Mechanics,Tongji University,Shanghai 200092,China
Abstract:
The hysteresis phenomena of ferroelectric/ferroelastic material in polarization procedure are investigated.Some assumptions are presented based on the 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 a form of matrices and vectors,which is immediately associated with finite element analysis,is formulated.In the example problem of a rectangular specimen subjected to a uniaxial electric field,the procedure from virgin state to fully polarized state is simulated.Afterward,a uniaxial compressive loading is applied to depolarizing the specimen.Results are in agreement with the experimental data.
Keywords:ferroelectric/ferroelastic material  constitutive law  nonlinear  finite element method
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