Fully coupled, multi-axial, symmetric constitutive laws for polycrystalline ferroelectric ceramics
Fully coupled, multi-axial, symmetric constitutive laws for polycrystalline ferroelectric ceramics
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DOI：
10.1016/s0022-5096(01)00021-7
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发表时间：
2002-01-01
影响因子：
5.3
通讯作者：
Landis, CM
中科院分区：
文献类型：
--
作者：
Landis, CM
本文建立了铁电陶瓷多轴本构律的一般形式。该理论的基础是材料的亥姆霍兹自由能的假设形式。开关表面和相关的流动规则假定在一个修正的应力和电场空间中，以保证开关过程中的正耗散率。由于材料的线弹性、介电和压电性能的变化包括在开关表面中，因此产生的与应力和电场增量有关的切模量与应变和电位移增量是对称的。最后，确定了非剩余应变铁电体和纯铁弹性开关两种不耦合情况下的模型参数，然后确定了完全耦合铁电体的模型参数。2001爱思唯尔科学有限公司版权所有。
In this paper, a general form for multi-axial constitutive laws for ferroelectric ceramics is constructed. The foundation of the theory is an assumed form for the Helmholtz free energy of the material. Switching surfaces and associated flow rules are postulated in a modified stress and electric field space such that a positive dissipation rate during switching is guaranteed, The resulting tangent moduli relating increments of stress and electric field to increments of strain and electric displacement are symmetric since changes in the linear elastic, dielectric and piezoelectric properties of the material are included in the switching surface. Finally, parameters of the model are determined for two uncoupled cases, namely non-remanent straining ferroelectrics and purely ferroelastic switching, and then for the fully coupled ferroelectric case. (C) 2001 Elsevier Science Ltd. All rights reserved.