A Molecular Theory of the Viscoelastic Behavior of an Amorphous Linear Polymer

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Abstract
The kinetic theory of rubber elasticity is extended in two respects. First, the distribution of relative displacements of every chain atom is considered, not merely the distribution of relative chain‐end displacements. Second, the rate of approach to elastic equilibrium, as well as the equilibrium itself, is considered. As a first approximation, it is predicted that a linear amorphous polymer will possess a distribution of elastic retardation times of the form J(τ)dτ=(C ln τ — D)d ln τ, where C and D are constants characteristic of the material.

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