Stretch-based constitutive models for isotropic hyperelastic materials as alternatives to the classical strain invariant models have been the subject of considerable recent attention largely motivated by application to modelling the mechanical response of soft tissues. One such four-parameter constitutive model was proposed recently by Anssari-Benam (J. Elast. 153:219–244, 2023) for incompressible isotropic hyperelastic soft materials. The model was deemed to be comprehensive in that several well-known strain-energies may be recovered for some particular and limiting values of some of the parameters. The model is a generalization of several related simpler models based on microstructural considerations that have been shown to match well with experimental data for a wide variety of soft materials. In particular, the celebrated one-term Ogden model is obtained as a special case. Here we examine the response of the new model for the problem of pure torsion for a solid circular cylinder with particular emphasis on the Poynting effects governing the lengthening or shortening of the cylinder.

各向同性超弹性材料的基于拉伸的本构模型作为经典应变不变模型的替代模型，最近受到了相当多的关注，主要是由于其应用于模拟软组织的机械响应。Anssari-Benam (J. Elast. 153:219–244, 2023) 最近针对不可压缩各向同性超弹性软材料提出了一种这样的四参数本构模型。该模型被认为是全面的，因为可以针对某些参数的某些特定值和极限值恢复几个众所周知的应变能。该模型是基于微观结构考虑的几个相关的更简单模型的概括，这些模型已被证明与各种软材料的实验数据很好地匹配。特别是，著名的单项奥格登模型是作为一种特例获得的。在这里，我们检查新模型对实心圆柱体纯扭转问题的响应，特别强调控制圆柱体延长或缩短的坡印廷效应。