A constitutive equation for rubber-like materials is developed using the left stretch tensor. This process starts with a model for hyperelastic solids based on a separable energy function. This model accurately fits extensional data for vulcanized natural rubber until the onset of hysteresis at intermediate strains. Better predictions outside the hyperelastic range are obtained by directly modifying this constitutive equation to describe limited extensibility. The resulting model accurately fits biaxial, planar, and uniaxial extension data for a variety of rubber-like materials using three constants. This model also predicts simple shear results derived from planar extension data and characterizes inflation of spherical membranes for elastomers and soft tissue. A final modification accurately describes hardening associated with crystallization at large tensile strains.

中文翻译：

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橡胶弹性模型

使用左拉伸张量开发了类橡胶材料的本构方程。该过程从基于可分离能量函数的超弹性固体模型开始。该模型准确地拟合了硫化天然橡胶的拉伸数据，直到中间应变开始出现滞后。通过直接修改这个本构方程来描述有限的可扩展性，可以获得在超弹性范围之外更好的预测。所得模型使用三个常数准确拟合了各种橡胶类材料的双轴、平面和单轴延伸数据。该模型还预测源自平面延伸数据的简单剪切结果，并表征弹性体和软组织的球形膜的膨胀。