Guth, Gold, and Simha equation

Let us consider, for instance, the relaxation modulus function G(T) of a pure SBR, as reported by Nielsen (Figure 5.25). The effect of CB loading (at constant temperature) can be approached by rewriting the Guth, Gold and Simha equation as follows ... 

This approach was explicitly proposed by Medalia who adapted the Guth, Gold and Simha equation to modulus (see Equation 5.12), but the effects of CB on mechanical properties are more or less complicated depending on the grade and level of CB and, moreover, one cannot expect much from considerations solely based on hydrodynamic effects. 

With respect to the mathematical form of the well-known Guth, Gold, and Simha equation, it is also interesting to mention a model previously developed by Graham ... 

The accurate experiments by Eirich c,s with glass spheres lead to values of 9, 12 and 13 for the coefficient of the quadratic term and do thus reasonably confirm the equation by Guth, Simha and Gold as do more recent measurements on latex emulsions ... 

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