Relaxation Steady-state compliance, related

The Boltzmann superposition principle can be used to relate the steady state compliance to the stress relaxation modulus (see Problem 7.44) ... 

Because zero-shear viscosity is related to the first moment of the relaxation-time distribution (r), while steady-state compliance is related to the second moment of the distribution (r ), the latter is much more sensitive to the molecular-weight distribution of the polymer sample than the former. 

Through Eqs. (4.30) and (4.63), the zero-shear viscosity rjo and the steady-state compliance J° are related to the relaxation modulus G(t). In the high molecular weight region (> 5Me), both the and processes... 

It can be shown that the steady state compliance is related to the relaxation modulus, in either... 

Masao Doi and Sam F. Edwards (1986) developed a theory on the basis of de Genne s reptation concept relating the mechanical properties of the concentrated polymer liquids and molar mass. They assumed that reptation was also the predominant mechanism for motion of entangled polymer chains in the absence of a permanent network. Using rubber elasticity theory, Doi and Edwards calculated the stress carried by individual chains in an ensemble of monodisperse entangled linear polymer chains after the application of a step strain. The subsequent relaxation of stress was then calculated under the assumption that reptation was the only mechanism for stress release. This led to an equation for the shear relaxation modulus, G t), in the terminal region. From G(t), the following expressions for the plateau modulus, the zero-shear-rate viscosity and the steady-state recoverable compliance are obtained ... 

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