Fully coupled non‐linear analysis of piezoelectric solids involving domain switching
Fully coupled non‐linear analysis of piezoelectric solids involving domain switching
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涉及域切换的压电固体的全耦合非线性分析
DOI：
10.1002/nme.556
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发表时间：
2003
期刊：
影响因子：
--
通讯作者：
Yin
中科院分区：
文献类型：
--
作者：
Wenjun Zeng;M. Manzari;James D. Lee;Yin
畴切换是压电材料对机械和电气效应的响应中的显著非线性的原因。在本文中，压电固体的响应制定耦合热，电，和机械效应。本构方程是非线性的。此外，由于域切换现象，所得的控制方程变得高度非线性。相应的非线性有限元方程推导和求解使用增量技术。开发的配方首先验证了一些基准问题，其中存在一个封闭的形式的解决方案。接下来，研究了由PZT-4制成的悬臂梁，以评估畴切换对梁的整体力-位移响应的影响。对于非线性的程度及其随着梁上载荷的增加而逐渐扩展的情况，进行了一些有趣的观察。版权所有© 2002年约翰威利父子有限公司。
Domain switching is the cause of significant non‐linearity in the response of piezoelectric materials to mechanical and electrical effects. In this paper, the response of piezoelectric solids is formulated by coupling thermal, electrical, and mechanical effects. The constitutive equations are non‐linear. Moreover, due to the domain switching phenomenon, the resulting governing equations become highly non‐linear. The corresponding non‐linear finite element equations are derived and solved by using an incremental technique. The developed formulation is first verified against a number of benchmark problems for which a closed‐form solution exists. Next, a cantilever beam made of PZT‐4 is studied to evaluate the effect of domain switching on the overall force–displacement response of the beam. A number of interesting observations are made with respect to the extent of non‐linearity and its progressive spread as the load on the beam increases. Copyright © 2002 John Wiley & Sons, Ltd.