Eigen-material constants, mode and failure criterion for piezoelectric media

In this paper the normalized generalized stress and strain vectors in 9-D space are introduced. A method of constructing the eigen-compliance constants and material modes for the piezoelectric material is presented, which is applied to design a new failure criterion based upon the concept of strain energy modes. In this theory, normalized generalized stress and strain vectors can be additively decomposed into nine independent and non-interaction modal component (T) over bar ((i)) and (S) over bar ((i)) respectively, whose directions are called material modes, and the total strain energy is additively composed with nine independent modal energy components. Along each material mode, there is a modal energy given by (T) over bar ((i))(S) over bar ((i))/2 and it is assumed that the role of different modal energies is different in the failure event. It is postulated that the failure will occur when one of the modal energies or an appropriate linear combination of these energy modes reaches a critical value. PZT-4 piezoelectric ceramic is used as a numerical example to demonstrate the adequacy of the theory with experiment for the piezoelectric failure problem. The calculated result seems to be in good qualitative agreement with experimental data

A generalized screw dislocation in a piezoelectric trimaterial body

A generalized screw dislocation in the piezoelectric trimaterial with two parallel plane interfaces is studied. The Burgers vector of the generalized screw dislocation normal to the isotropic base plane and a discontinuous electric potential locates in the isotropic plane, simultaneously a line force and a line charge are acted at the core. The singular solution of a generalized screw dislocation in a homogeneous piezoelectric ceramic is used as the basis for solving the piezoelectric trimaterial body. A Schwarz-Neumann's alternating technique [1] is applied to construct this trimaterial solution. Further, the generalized Peach Koehler forces acting on the generalized screw dislocation are considered. Numerical illustrations for the interaction are given and some discussions on the effects of the material mismatches are given. It is shown that the present solutions are available and useful

边界条件对附于软基体上压电薄膜的局部屈曲的影响(英文)

研究了附于预拉伸弹性软基体上的压电薄膜的局部屈曲行为,弹性软基体和刚性支座之间为滑动边界。通过比较弹性软基体和刚性支座之间为固支情况下附于基体上压电薄膜的局部屈曲行为,讨论边界条件对于压电薄膜的局部屈曲的影响

压电效应对软基体上压电薄膜局部和整体屈曲的影响

附于预拉伸软基体上的弹性薄膜会发生局部屈曲,将这一特性应用于微纳米系统,可以发明新的可延展性电子器件.通过变分法推导了压电薄膜/软弹性基板复合系统的控制方程,分析了基体预拉伸情况下的压电薄膜/基体复合系统的整体屈曲机制.进一步研究了局部屈曲和整体屈曲的转换现象,得到了2种屈曲模式临界条件的解析解.结果发现,薄膜材料的压电效应对整体屈曲和局部屈曲2种屈曲模式的临界条件都具有不可忽略的影响,压电薄膜系统比弹性薄膜系统具有更高的刚度和更好的稳定性

不同初始分布向列相液晶电容特性的相场法研究

液晶盒内的液晶分子在不同的外加电场作用下重新排布,其极化指向发生改变,从而影响液晶盒整体的电学特性。本文考虑液晶材料的挠曲电效应,分析液晶盒的整体自由能表达式,包含弹性形变自..

外延铁电薄膜相变温度的尺寸效应

考虑外延钙钛矿型铁电薄膜内的等效应力、表面晶格变化和表面电荷引起的退极化效应等机电耦合边界条件,利用铁电薄膜系统的动态金茨堡-朗道方程(DGL),系统分析和讨论了外延铁电薄膜相变温度与临界相变厚度的尺寸效应.结果表明,铁电薄膜相变温度与临界相变厚度完全依赖于各种与薄膜厚度相关的力电耦合边界条件.也给出了BaTiO3外延铁电薄膜相变温度在各种边界条件下随厚度的变化,从结果看出,本文的分析与结论更符合实验数据

单畴外延铁电薄膜的相结构与稳定性

论文采用动态金茨堡-朗道(DGL)方程研究了薄膜厚度与错配应变对(0 0 1)取向单畴外延PbTiO3(PTO)铁电薄膜相结构与稳定性的影响.结合平面内松弛应变(等效应变)、表面效应与退极化场等机电耦合边界条件,通过数值求解DGL方程获得外延单畴铁电薄膜错配应变-厚度相图和错配应变-温度相图.数值分析结果显示,由于生成的界面位错松弛了薄膜内错配应变,在理论高应变区相图与传统分析结果有较大差别,文中发现在更广的理论错配拉应变区出现稳定的四方相(c相)结构和单斜相(r相)结构.结果也显示,随着薄膜厚度的减小,表面效应与退极化效应会把顺电相扩展到更低温度区域,从而压缩稳定的铁电相存在的温度区域

电学开路挠曲电悬臂梁自振频率分析

挠曲电效应是一种新兴的机电耦合效应,在微纳米尺度的传感器、致动器和俘能器方面有广阔的应用前景.本文基于挠曲电材料的变分原理和电吉布斯自由能,推导了表面覆盖电极的挠曲电悬臂梁在电学开路条件下的机电耦合动力学控制方程和相应的力电边界条件.进一步获得了求解电学开路条件下挠曲电悬臂梁自振频率的超越方程.以聚偏氟乙烯(PVDF)材料为算例,讨论了挠曲电系数、末端质量块和梁尺寸对结构自振频率和电学开路/短路条件下结构自振频率有效频移的影响.计算结果表明,挠曲电系数的增大会提高梁的自振频率;末端质量的增大可以降低梁的自振频率,并且末端质量块的转动效应对悬臂梁自振频率的影响很小;悬臂梁结构的有效频移随着结构尺寸减小而增加,并在某一厚度尺寸趋于饱和值.国家自然科学基金(11572271

电致伸缩材料非线性力学计算中的几个问题

由于电致伸缩材料本构方程的非线性特性,该材料在力学理论计算、材料参数测试中会出现一定的困难.同时,电场体积力在计算与实验中也应纳入考虑范围.文章给出了一种合适的电致伸缩材料的本构方程,并指出电场体积力的表达式取为Maxwell应力较为合适.利用一种简单模型,给出了0阶近似下的2种处理方式(考虑电场体积力与否)的近似解以及一般处理方式下的解析解.利用推导结果得到了这3种不同处理方式下的位移、应力场数值算例.结果表明,应根据不同条件,在具体计算中合理地处理电场非线性效应以及电场体积力才能得到符合实际情况的结果

福建省力学学科发展报告

介绍了福建省力学主要学科的研究进展、主要研究成果及在国民经济建设中的主要应用情况与存在的问题,简单介绍了福建力学学科整体在国内外的地位,展望了我省力学学科发展方向及其在海西建设中的作用