A three parameter novel hyperelastic strain energy function is introduced in this paper for soft and rubber-like materials. The function integrates a non-separable exponential component with a single term Ogden-type polynomial-like function, resulting in an exponential-polynomial based strain energy function. This helps in capturing both small and large deformation (stretch) behaviours of hyperelastic materials. The structure of the model is simple and validated against several experimental datasets including rubbers, hydrogel, and soft tissues. The model is reported to capture key material behaviors, including strain stiffening and various deformation paths. Through comparative studies with well-known models like the Ogden (six parameters) and Yeoh (three parameters), the model’s effectiveness is established. Furthermore, the model successfully addresses pressure-inflation instability in thin spherical balloons. It’s applicability extends to biological materials, as evidenced by its effectiveness in characterizing porcine brain tissue and a monkey’s bladder.

中文翻译：

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各向同性橡胶材料的超弹性应变能函数


本文针对软质和橡胶类材料引入了一种新型的三参数超弹性应变能函数。该函数将不可分的指数分量与单项奥格登型多项式函数相结合，产生基于指数多项式的应变能函数。这有助于捕获超弹性材料的小变形（拉伸）行为。该模型的结构很简单，并且针对包括橡胶、水凝胶和软组织在内的多个实验数据集进行了验证。据报道，该模型可以捕获关键材料行为，包括应变硬化和各种变形路径。通过与 Ogden（六参数）和 Yeoh（三参数）等知名模型的比较研究，确立了该模型的有效性。此外，该模型成功解决了薄球形气球中的压力-膨胀不稳定问题。它的适用性扩展到生物材料，其在表征猪脑组织和猴子膀胱方面的有效性证明了这一点。