An energetic material model for time‐dependent ferroelectric behaviour: existence and uniqueness
An energetic material model for time‐dependent ferroelectric behaviour: existence and uniqueness
复制标题
时间依赖性铁电行为的能量材料模型：存在性和唯一性
DOI：
10.1002/mma.731
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发表时间：
2006
影响因子：
2.9
通讯作者：
A. Timofte
中科院分区：
文献类型：
--
作者：
A. Mielke;A. Timofte
我们讨论铁电材料多维行为的速率无关工程模型。这些模型捕捉了此类材料的非线性和滞后行为。我们表明，这些模型可以制定在一个充满活力的框架，这是基于弹性和电位移作为可逆变量和内部，不可逆的变量，如reversal极化。我们提供了相当一般的条件，保证存在一个解决方案的本构律。在更严格的假设下，我们也能够建立唯一性结果。版权所有© 2006约翰威利父子有限公司。
We discuss rate‐independent engineering models for the multi‐dimensional behaviour of ferroelectric materials. These models capture the non‐linear and hysteretic behaviour of such materials. We show that these models can be formulated in an energetic framework which is based on the elastic and the electric displacements as reversible variables and on interior, irreversible variables like the remanent polarization. We provide quite general conditions on the constitutive laws which guarantee the existence of a solution. Under more restrictive assumptions we are also able to establish uniqueness results. Copyright © 2006 John Wiley & Sons, Ltd.