In a recent paper in this journal by Anssari-Benam and Bucchi (2021), the authors have proposed a new two-parameter constitutive model for isotropic incompressible hyperelastic generalized neo-Hookean materials. The model reflects the limiting chain extensibility characteristic of non-Gaussian molecular models for rubber. A major contribution of Anssari-Benam and Bucchi (2021) is in showing that the model proposed there is superior to the well-known two-parameter Gent model when fitting with a large variety of experimental data for rubber for the homogeneous deformations of uniaxial, equi-biaxial and pure shear. Moreover, for all of these deformations, a fitting with data is achieved with a single set of values for the parameters with a narrow range of variation. In the present note, we establish a simple direct relation between the new model and the classical Gent model. The large body of research results on the mechanical behavior of rubber-like materials based on the latter model are thus readily applicable to the new model. Some other directions for widening the applicability of the new model are also suggested.

在Anssari-Benam和Bucchi（2021）的最新期刊论文中，作者提出了各向同性不可压缩超弹性广义新霍克材料的新两参数本构模型。该模型反映了橡胶非高斯分子模型的极限链可扩展性特征。Anssari-Benam和Bucchi（2021）的主要贡献在于，当与各种各样的橡胶单轴均匀变形实验数据拟合时，所提出的模型优于众所周知的两参数Gent模型，等双轴和纯剪切。而且，对于所有这些变形，通过具有狭窄变化范围的参数的单组值来实现与数据的拟合。在本说明中，我们在新模型和经典Gent模型之间建立了简单的直接关系。因此，基于后一种模型的有关橡胶状材料力学性能的大量研究结果很容易应用于新模型。还提出了一些扩展新模型适用性的其他方向。