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We propose a moving-boundary scenario to model the penetration of diffusantsinto dense and foamed rubbers. The presented modelling approach recoversexperimental findings related to the diffusion of cyclohexane and the resultingswelling in a piece of material made of ethylene propylene diene monomer rubber(EPDM). The main challenge is to find out relatively simple model componentswhich can mimic the mechanical behavior of the rubber. Such special structureis identified here so that the computed penetration depths of the diffusantconcentration are within the range of experimental measurements. We investigatetwo cases: a dense rubber and a rubber foam, both made of the same matrixmaterial.  After a brief discussion of scaling arguments, we present a finite elementapproximation of the moving boundary problem. To overcome numericaldifficulties due to the \textit{a priori} unknown motion of the diffusantspenetration front, we transform the governing model equations from the physicaldomain with moving unknown boundary to a fixed fictitious domain. We then solvethe transformed equations by the finite element method and explore therobustness of our approximations with respect to relevant model parameters.Finally, we discuss numerical estimations of the expected large-time behaviorof the material.

A moving boundary approach of capturing diffusants penetration into rubber: FEM approximation and comparison with laboratory measurements