A Note on the Gent Model for Rubber-Like Materials

By E. Pucci, Giuseppe Saccomandi. 2002

199 citations recorded by the source corpus.

Subfields: Atomic and Molecular Physics, and Optics, Biomedical Engineering, Fluid Flow and Transfer Processes

View Paper: https://www.semanticscholar.org/paper/a6716b76b9e7c01d7ca561b65e8a55b144dc8a99

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In Atomic and Molecular Physics, and Optics

In Biomedical Engineering

In Fluid Flow and Transfer Processes

Citations in the corpus

Fitting hyperelastic models to experimental data (2004, methodology): “For comparison, we have applied a similar analysis and fitting procedure to the Pucci–Saccomandi model, which is based on the invariants I 1 and I 2 , and to the Criscione model, formulated in terms of the invariants K 2 and K 3 .”
A review of constitutive models for rubber-like materials (2010, background): “In this approach, stress and strain analysis problems may be solved independent of the microscopic system or molecular concepts and the elasticity theory can be the starting point of any kind of modeling effort as follows (Boyce and Arruda, 2000; Achenbach and Duarte, 2003; Pucci and Saccomandi, 200”
A Molecular-Statistical Basis for the Gent Constitutive Model of Rubber Elasticity (2002, background): “The model (3) is a basic one because it is associated with the simplest rational approximation of the response functions in the Cauchy stress representation formula for isotropic incompressible elastic materials [27, 19].”
A new I1-based hyperelastic model for rubber elastic materials (2010, background): “A plausible generalization that has proved fruitful in the related context of the Gent model could consist in adding the logarithmic term ln(I2/3) to W [21].”
Methodical fitting for mathematical models of rubber-like materials (2016, methodology): “Notice that the GG model ﬁrst appeared in (Pucci and Saccomandi 2002) and the DCMR model in (Dobrynin and Carrillo 2011).”
A theory of stress softening of elastomers based on finite chain extensibility (2004, unknown): “It has been shown by Horgan & Saccomandi (2002b) (see also Pucci & Saccomandi 2002) that the stress response (2.10) for the Gent model is a very good rational approximation to the molecular model (2.4) when we set µ = µ̄ = nkT, J = 3(N − 1).”