Abstract

Calculations are made of the time and frequency dependence of the bire-fringence of a linear amorphous polymer held at constant extension and subjected to an oscillating extension (or compression) respectively. The method involves an extension of Mooney's version of the molecular theory of viscoelasticity. The birefringence is expressed in terms of a discrete number of relaxation times each of which is related to a normal mode of molecular motion. At constant strain the stress-optical coefficient is predicted to be independent of time. For a sinusoidally imposed strain the birefringence and stress should be in phase and the ratio of birefringence amplitude to stress amplitude should be independent of frequency and equal to the stress-optical coefficient. The frequency and temperature limits of applicability of the analysis are briefly discussed.

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