1 Answers
The Gent hyperelastic material model is a phenomenological model of rubber elasticity that is based on the concept of limiting chain extensibility. In this model, the strain energy density function is designed such that it has a singularity when the first invariant of the left Cauchy-Green deformation tensor reaches a limiting value I m {\displaystyle I_{m}}.
The strain energy density function for the Gent model is
where μ {\displaystyle \mu } is the shear modulus and J m = I m − 3 {\displaystyle J_{m}=I_{m}-3}.
In the limit where I m → ∞ {\displaystyle I_{m}\rightarrow \infty } , the Gent model reduces to the Neo-Hookean solid model. This can be seen by expressing the Gent model in the form