Constitutive law for ferroelastic and ferroelectric piezoceramics
Constitutive law for ferroelastic and ferroelectric piezoceramics
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DOI：
10.1177/1045389x05049650
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发表时间：
2005-03-01
影响因子：
2.7
通讯作者：
Patoor, E
中科院分区：
文献类型：
--
作者：
Elhadrouz, M;Ben Zineb, T;Patoor, E
本文的重点是研究铁电和铁弹性陶瓷在高机电负载下表现出的非线性行为。外部负载（例如电场和应力）可能会因磁畴切换而引起残余应变或极化。引入两个内部变量是为了捕获表征铁电性和铁弹性的历史依赖性和耗散。引入两个加载表面，以便相关的流动规则提供内部变量的演化规律。此外，这些变量必须验证可能取决于应力状态的运动学约束，因为实验表明必须按此顺序考虑拉伸和压缩状态。然后，表示介电、蝶形和铁弹性磁滞。机械去极化也被捕获。所有的切线算子都被表达出来，从而可以用有限元方法实现解析。
The focus of this paper is to investigate the nonlinear behavior exhibited by ferroelectric and ferroelastic ceramics under high electromechanical loading. External loads, such as electric field and stress, can induce a remanent strain or polarization due to domain switching. Two internal variables are introduced in order to capture the history dependance and dissipation that characterize ferroelectricity and ferroelasticity. Two loading surfaces are introduced so that associated flow rules provide the evolution laws of the internal variables. In addition, these variables must verify kinematical constraints that may depend on the stress state since experiments indicate that tensile and compressive states have to be considered in this order. Then, dielectric, butterfly, and ferroelastic hysteresis are represented. Mechanical depolarization is also captured. All the tangent operators are expressed so that a resolution with a finite element method can be achieved.