Abstract
A new phenomenological model for stress-softening of isotropic, incompressible hyperelastic rubberlike materials is presented. For any specified virgin material constitutive equation, the stress-softened material response due to microstructural damage is characterized by an exponential softening function that depends on the current magnitude of strain and its maximum previous value in a deformation of the virgin material. The theory is illustrated for a neo-Hookean material; and it is shown that results derived for two non-Gaussian molecular network material models compare most favorably with uniaxial extension data provided by others.
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