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Numerical simulation of case 2 diffusion in one dimension

Vijalapura, Prashanth K.

UCB/SEMM-2002/07, Dept. of Civil and Environmental Engineering, University of California, Berkeley, [2002], 66 pages (500/C23/2002/07)

Time stepping schemes for the numerical simulation of Case 2 diffusion of a solvent into a glassy polymer are investigated. The Initial Boundary Value Problem (IBVP) obtained from the governing equations that incorporate these Case 2 diffusion models are highly nonlinear due to the following: a nonlinear flux law to produce sharp fronts, a concentration dependent relaxation time of the polymer to model glass-rubber transition, and coupling between the diffusion and mechanical displacements. Two examples of 1-D models are considered.

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