The metric description of viscoelasticity and instabilities in viscoelastic solids
The metric description of viscoelasticity and instabilities in viscoelastic solids
复制标题
粘弹性固体中粘弹性和不稳定性的度量描述
DOI：
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发表时间：
2018
期刊：
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通讯作者：
Efi Efrati
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文献类型：
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作者：
Erez Y. Urbach;Efi Efrati
许多人造和天然存在的材料形成粘弹性固体。越来越多地使用生物启发的弹性体材料和极端的机械响应，这些弹性体提供驱动需要更好的，更直观的和定量的理解这样的连续体的机械响应。这在确定粘弹性结构随时间的稳定性时特别重要，在这种情况下，代替鲁棒规则，我们通常必须诉诸模拟。在这项工作中，我们提出了一个度量描述粘弹性的连续体的特点是时间演变的参考长度量化的休息参考度量。这个休息参考度量作为一个状态变量描述的结果在系统中的粘弹性流，并允许我们提供强大的要求关于不可压缩的各向同性粘弹性介质的稳定性。我们证明了这些索赔的一个简单的三个标准的线性固体弹簧阻尼器组件的预测规则，可以通过明确的计算进行验证，并显示与最近的实验在粘弹性硅橡胶壳，显示延迟稳定性损失的定量协议。
Many manmade and naturally occurring materials form viscoelastic solids. The increasing use of biologically inspired elastomeric material and the extreme mechanical response these elastomers offer drive the need for a better, more intuitive and quantitative understanding of the mechanical response of such continua. This is in particular important in determining the stability of viscoelastic structure over time where in lieu of robust rules we often must resort to simulations. In this work we put forward a metric description of viscoelasticity in which the continua is characterized by temporally evolving reference lengths quantified by a rest reference metric. This rest reference metric serves as a state variable describing the result of the viscoelastic flow in the system, and allows us to provide robust claims regarding stability of incompressible isotropic viscoelastic media. We demonstrate these claims for a simple bistable systems of three standard-linear-solid spring dashpot assemblies where the predicted rules can be verified by explicit calculations, and also show quantitative agreement with recent experiments in viscoelastic silicone rubber shells that display delayed stability loss.