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An electro-mechanically coupled visco-hyperelastic-plastic constitutive model for cyclic deformation of dielectric elastomers
Mechanics of Materials ( IF 3.9 ) Pub Date : 2020-11-01 , DOI: 10.1016/j.mechmat.2020.103575
Yifu Chen , Guozheng Kang , Jianghong Yuan , Yuhang Hu , Tiefeng Li , Shaoxing Qu

Abstract An electro-mechanically coupled visco-hyperelastic-plastic constitutive model is established in this work to describe the cyclic deformation of dielectric elastomers (DEs) by addressing the significant ratchetting and cyclic stress-softening behaviors of DEs resulting from the coupled visco-hyperelasticity, plasticity and electro-mechanical effects. First, a visco-hyperelastic-plastic constitutive model is constructed in the framework of large deformation to incorporate the visco-hyperelasticity and plasticity of DEs, simultaneously. The typical Ogden's formulation is employed for the description of basic hyperelastic response; multiple relaxation mechanisms are adopted to capture the time-dependent viscoelastic part; and a finite plastic flow rule based on the arc-length description is proposed to describe the plastic one. Then, within the framework of nonlinear electro-mechanically coupling approach and by assuming quasi-linear dielectric behavior, the visco-hyperelastic-plastic constitutive model is extended to an electro-mechanically coupled one. Finally, the proposed models are, respectively, validated by comparing the predicted results with corresponding experimental ones of VHB™4910 DE. It is found that the pure mechanical and electro-mechanically coupled cyclic deformation of VHB™4910, including the ratchetting and cyclic stress-softening as well as their dependence on the loading level, loading rate and phase-angle difference of cyclic electro-mechanical loading, can be reasonably predicted by the proposed constitutive models.

中文翻译:

介电弹性体循环变形的机电耦合粘-超弹-塑性本构模型

摘要 在这项工作中建立了一个机电耦合的粘-超弹-塑性本构模型,通过解决由耦合的粘-超弹性引起的 DEs 的显着棘轮和循环应力软化行为来描述介电弹性体 (DEs) 的循环变形,塑性和机电效应。首先,在大变形框架下构建了粘超弹塑性本构模型,同时结合了DEs的粘超弹性和塑性。典型的奥格登公式用于描述基本的超弹性响应;采用多种松弛机制来捕捉随时间变化的粘弹性部分;并提出了一种基于弧长描述的有限塑性流动规则来描述塑性流动规则。然后,在非线性机电耦合方法的框架内,并通过假设准线性介电行为,粘-超弹-塑性本构模型扩展到机电耦合模型。最后,通过将预测结果与 VHB™4910 DE 的相应实验结果进行比较,分别验证了所提出的模型。发现VHB™4910的纯机械和机电耦合循环变形,包括棘轮和循环应力软化以及它们对循环机电加载的加载水平、加载速率和相角差的依赖性,可以通过提出的本构模型合理预测。粘-超弹-塑性本构模型扩展为机电耦合模型。最后,通过将预测结果与 VHB™4910 DE 的相应实验结果进行比较,分别验证了所提出的模型。发现VHB™4910的纯机械和机电耦合循环变形,包括棘轮和循环应力软化以及它们对循环机电加载的加载水平、加载速率和相角差的依赖性,可以通过提出的本构模型合理预测。粘-超弹-塑性本构模型扩展为机电耦合模型。最后,通过将预测结果与 VHB™4910 DE 的相应实验结果进行比较,分别验证了所提出的模型。发现VHB™4910的纯机械和机电耦合循环变形,包括棘轮和循环应力软化以及它们对循环机电加载的加载水平、加载速率和相角差的依赖性, 可以通过所提出的本构模型进行合理预测。
更新日期:2020-11-01
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