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Nonlinear electroelastic deformations

机译:非线性电弹性变形

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摘要

Electro-sensitive (ES) elastomers are a class of smart materials whose mechanical properties change instantly on the application of an electric field. These elastomers, which are endowed with electric properties by the embedding of uniformly dispersed micron-sized ferrous particles, have attracted considerable interest recently because of their potential for providing relative simple and quiet variable-stiffness devices for use as rapid-response interfaces between electronic controls and mechanical systems. Here we confine attention to the static situation and summarize the equilibrium equations for a solid material capable of large electroelastic deformations. The general constitutive law that gives the Cauchy stress for an isotropic material in the presence of an electric field is described and expressed in a compact form, with the deformation gradient and the electric field as the independent variables. The equations are applied, in the case of an incompressible material, to the solution of a representative boundary-value problem.
机译:电敏(ES)弹性体是一类智能材料,其机械性能会在施加电场时立即改变。这些弹性体由于嵌入了均匀分散的微米级亚铁颗粒而具有电性能,由于它们有潜力提供相对简单,安静的可变刚度装置以用作电子控件之间的快速响应界面,因此近年来引起了人们的极大兴趣。和机械系统。在这里,我们将注意力集中在静态情况上,并总结了能够进行大电弹性变形的固体材料的平衡方程。描述并给出了电场作用下各向同性材料的柯西应力的一般本构定律,并以紧凑的形式表示,变形梯度和电场为自变量。在不可压缩的材料的情况下,将这些方程式应用于代表性边值问题的解。

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