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A nonlinear spectral rate-dependent constitutive equation for electro-viscoelastic solids
Zeitschrift für angewandte Mathematik und Physik ( IF 2 ) Pub Date : 2020-07-08 , DOI: 10.1007/s00033-020-01353-1
M. H. B. M. Shariff , R. Bustamante , J. Merodio

In this communication a spectral constitutive equation for nonlinear viscoelastic-electroactive bodies with short-term memory response is developed, using the total stress formulation and the electric field as the electric independent variable. Spectral invariants, each one with a clear physical meaning and hence attractive for use in experiment, are used in the constitutive equation. A specific form for constitutive equation containing single-variable functions is presented, which are easy to analyze compared to multivariable functions. The effects of viscosity and an electric field are studied via the results of boundary value problems for cases considering homogeneous distributions for the strains and the electric field, and some these results are compared with experimental data.



中文翻译:

电黏弹性固体的非线性谱率相关本构方程

在这种交流中,使用总应力公式和电场作为电独立变量,开发了具有短期记忆响应的非线性粘弹性电活性体的光谱本构方程。本构方程使用光谱不变式,每个不变式具有明确的物理含义,因此在实验中具有吸引力。提出了包含单变量函数的本构方程的一种特定形式,与多变量函数相比,该形式易于分析。在考虑应变和电场均匀分布的情况下,通过边值问题的结果研究了粘度和电场的影响,并将这些结果与实验数据进行了比较。

更新日期:2020-07-08
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