Diffusive Fronts of Penetrants in Glassy Polymers,
CALIFORNIA INST OF TECH PASADENA DEPT OF APPLIED MATHEMATICS
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In this paper we derive and present a model which incorporates and unifies many of the diverse observations occurring in diffusive motion in glassy polymers. Our model explicitly incorporates the most important property of a glassy polymer, namely the finite relaxation time implied by the slow response to changing conditions. While this slow response property of a glassy polymer is recognized by all researchers, almost all other models do not properly account for it or do so in an artificial manner. In section 2 we derive and propose a general model for diffusion in glassy polymers. In section 3 we employ a Karman- Pohlhausen integral averaging method to obtain the time history of the penetrant front. In section 4 the glass-rubber interface is studied by using a traveling diffusion wave connecting equilibrium states above rubbery and below glassy the interface transition. In both sections 3 and 4 we present results only the complete mathematical details are presented in the paper of Cohen and Stanley.
- Elastomers and Rubber
- Numerical Mathematics