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Constitutive modelling of rubber-like and biological materials with limiting chain extensibility. (English) Zbl 1063.74012

Dealing with rubber-like materials and soft tissues, the authors consider certain strain-energy functions which model a typical hardening effect in the framework of isotropic hyperelasticity. The approach is rather new, and their models, which limit the maximum stretch, show, among other things, that simple modifications of incompressible neo-Hookean or Varga materials can match well with the classical experimental data of Treloar.

MSC:

74B20 Nonlinear elasticity
74L15 Biomechanical solid mechanics
92C10 Biomechanics
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