Universal relations for electroactive solids undergoing shear and triaxial extension

IF 2.8 3区工程技术 Q2 MECHANICS

International Journal of Non-Linear Mechanics Pub Date : 2024-11-19 DOI:10.1016/j.ijnonlinmec.2024.104954

K.R. Rajagopal , A. Wineman

引用次数: 0

Abstract

In this article we establish universal relations for a cube of a nonlinear elastic isotropic electroactive solid that undergoes a homogeneous deformation due to shear tractions but no normal tractions. When there is no electric field, in addition to a shearing deformation, the cube’s dimensions change because of the Poynting effect. In this work, we study the influence of the electric field vector on these dimensional changes using a previously developed constitutive equation for nonlinear electroactive solids. Expressions are obtained for these dimensional changes that depend the amount of shear for different directions of the electric field vector relative to the shearing direction. In addition, universal relations are obtained when there is no electric field and are extended for different electric field directions.

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发生剪切和三轴拉伸的电活性固体的普遍关系式

在这篇文章中，我们建立了非线性弹性各向同性电活性固体立方体的通用关系，该立方体因剪切牵引而发生均匀变形，但没有法向牵引。当没有电场时，除了剪切变形外，立方体的尺寸也会因波因廷效应而发生变化。在这项研究中，我们利用之前开发的非线性电活性固体构成方程，研究了电场矢量对这些尺寸变化的影响。我们获得了这些尺寸变化的表达式，它们取决于电场矢量相对于剪切方向的不同方向的剪切量。此外，还获得了无电场时的通用关系，并针对不同的电场方向进行了扩展。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

International Journal of Non-Linear Mechanics 物理-力学

CiteScore

5.50

自引率

9.40%

发文量

192

审稿时长

67 days

期刊介绍： The International Journal of Non-Linear Mechanics provides a specific medium for dissemination of high-quality research results in the various areas of theoretical, applied, and experimental mechanics of solids, fluids, structures, and systems where the phenomena are inherently non-linear. The journal brings together original results in non-linear problems in elasticity, plasticity, dynamics, vibrations, wave-propagation, rheology, fluid-structure interaction systems, stability, biomechanics, micro- and nano-structures, materials, metamaterials, and in other diverse areas. Papers may be analytical, computational or experimental in nature. Treatments of non-linear differential equations wherein solutions and properties of solutions are emphasized but physical aspects are not adequately relevant, will not be considered for possible publication. Both deterministic and stochastic approaches are fostered. Contributions pertaining to both established and emerging fields are encouraged.