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- 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 . The strain energy density function for the Gent model is where is the shear modulus and . In the limit where , the Gent model reduces to the Neo-Hookean solid model. This can be seen by expressing the Gent model in the form A Taylor series expansion of around and taking the limit as leads to which is the expression for the strain energy density of a Neo-Hookean solid. Several compressible versions of the Gent model have been designed. One such model has the form (the below strain energy function yields a non zero hydrostatic stress at no deformation, refer https://link.springer.com/article/10.1007/s10659-005-4408-x for compressible Gent models). where , is the bulk modulus, and is the deformation gradient. (en)
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- 9422 (xsd:nonNegativeInteger)
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- 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 . The strain energy density function for the Gent model is where is the shear modulus and . In the limit where , the Gent model reduces to the Neo-Hookean solid model. This can be seen by expressing the Gent model in the form (en)
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- Gent hyperelastic model (en)
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