Journal of Advances in Applied Mathematics

Download PDF (4300.4 KB) PP. 146 - 161 Pub. Date: July 1, 2021

DOI: 10.22606/jaam.2021.63002

• Fuzhang Zhao^*
  APD Optima Study, Lake Forest, CA 92630, USA

The general CSE model fits Treloar’s uniaxial extension test and predicts unfitted
uniaxial compression, equibiaxial extension, biaxial extension, pure shear, and simple shear tests. As
a newly proposed method, the general CSE model, along with the stress-softening ratio, the residualstretch
ratio, and the weighted piecewise two-point interpolation function, fits the Cheng–Chen’s
test and the Diani–Fayolle–Gilormini’s test in cyclic uniaxial extension at different pre-stretches
and predicts corresponding responses at untested pre-stretches. Physical mechanisms of the Mullins
effect have also been predicted based on the evolution of constitutive parameters.

Filled rubber, general CSE functional, Mullins effect, predictive constitutive modeling, unfilled rubber.

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