The foundation of a new concept, coined here as , is presented in this work for modelling the isothermal elastic and inelastic behaviours of polymers. This concept is based on the premise that both the elastic and inelastic behaviours of the subject specimen in the primary loading path may be characterised by a single constitutive law derived from a comprehensive deformation energy , akin to hyperelasticity, whose constitutive parameters determine and capture both the elastic and inelastic behaviours without the need for additional flow/yield/damage parameters. This hyperinelastic model captures the elastic and inelastic behaviours in the primary loading path. It is then further specialised, by augmenting the embedded constitutive parameters in the model, for capturing the inelasticity of the unloading behaviour and the rate of deformation effects. The former is done by devising and incorporating a discontinuous inelasticity variable into the function, and the latter is achieved by considering that the model parameters can evolve with, i.e., be a function of, the deformation rate. Examples of the application of the and hyperinelastic models to a wide range of extant experimental datasets will be presented, ranging from foams, glassy and semi-crystalline polymers to hydrogels and liquid crystal elastomers. The loading modes encompass both tensile and compressive deformations. With a reduced set of number of model parameters (compared with the existing models in the literature), simplicity of implementation (as essentially a straightforward extension to hyperelasticity), and encouraging accuracy in the modelling results, the concept of together with the presented hyperinelastic model are proposed as a unified modelling means for capturing the elastic and inelastic behaviours of polymers.

中文翻译：

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超非弹性：一种基于能量的聚合物等温大非弹性变形的本构建模方法。第一部分


这项工作提出了一个新概念的基础，这里被称为 ，用于模拟聚合物的等温弹性和非弹性行为。该概念基于这样的前提：主加载路径中主体样本的弹性和非弹性行为都可以通过从综合变形能导出的单一本构定律来表征，类似于超弹性，其本构参数确定并捕获了弹性和非弹性行为，无需额外的流量/屈服/损伤参数。该超非弹性模型捕获主要加载路径中的弹性和非弹性行为。然后通过增加模型中嵌入的本构参数，进一步专业化，以捕获卸载行为的非弹性和变形效应的速率。前者是通过设计并将不连续非弹性变量合并到函数中来完成的，后者是通过考虑模型参数可以随变形率演化（即作为变形率的函数）来实现的。将介绍超非弹性模型在广泛的现有实验数据集中的应用示例，范围从泡沫、玻璃状和半结晶聚合物到水凝胶和液晶弹性体。加载模式包括拉伸变形和压缩变形。 通过减少模型参数的数量（与文献中的现有模型相比）、实现的简单性（本质上是超弹性的直接扩展）以及令人鼓舞的建模结果准确性，概念与提出的超非弹性模型一起被提议作为一种统一的建模手段来捕获聚合物的弹性和非弹性行为。