Modeling Dynamic Stress Softening as a Filler-Polymer Network Effect

3 Modeling Dynamic Stress Softening as a Filler-Polymer Network Effect 

With a reference to the well known Langmuir s theory for the equilibrium adsorption-desorption of gas molecules on solid surfaces, Maier and Goritz developed a quantitative model by considering the kinematical aspects of an adsorption-desorption mechanism of rubber chain segments 

Interactions between rubber segments and carbon black surface according to Maier and Gbritz. 

Rubber-filler interactions sites are like knots whose effect superimposes to chemical reticulation. With reference to the theory for rubbery elasticity, in a filled network, the d5mamic modulus is proportional to the overall networking density N and the temperature T, according to (see details in Appendix 5.6)  

The adsorption rate is assumed to be constant, while is proportional to strain y, i.e., where iC is a constant. 

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