A new I1-based hyperelastic model for rubber elastic materials

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Some basic formulations of the virtual element method (VEM) for finite deformations (2017, background): “Throughout the subsection, the material is considered to be purely incompressible which is characterized by the following stored energy function [51]:”
Riemann–Cartan Geometry of Nonlinear Dislocation Mechanics (2012, methodology): “Let us now use a generalized incompressible neo-Hookean material with the following form of strain energy density [49]”
Advances in Mechanics of Soft Materials: A Review of Large Deformation Behavior of Hydrogels (2015, background): “Many forms for this free energy of rubber hyperelasticity exists [Anand, 1996; Arruda and Boyce, 1993; Boyce and Arruda, 2000; Flory and Rehner, 1943; Lopez-Pamies, 2010; Marckmann and Verron, 2006; Valanis and Landel, 1967].”
Methodical fitting for mathematical models of rubber-like materials (2016, methodology): “where C3 > 0 (N mm−2) and n > 0 (non-dimensional) are constants [30].”