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A concentration-dependent diffusion coefficient model for water sorption in composite

Abstract : The phenomenon of diffusion coefficients depending on concentration has been observed and studied experimentally for many years. This is particularly the case for the inter-diffusion in metals [1] but has also been observed on various polymeric systems [2]. This study presents a concentration-dependent diffusion coefficient model for water sorption in a polymer matrix composite. It has been developed by studying the water uptake of a polyphthalamide short glass fiber reinforced material. According to experimental data, we postulate that the diffusion coefficient follows a modified Arrhenius equation with a concentration dependence of the pre-exponential factor but also of the activation energy. This choice is related to the evolution of the glass transition temperature during sorption, which has a profound influence on transport properties. The coupled partial differential equation of the model is solved for some applied examples by using an easy-to-implement finite difference scheme.
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https://hal-mines-paristech.archives-ouvertes.fr/hal-00904085
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Submitted on : Wednesday, November 13, 2013 - 4:45:50 PM
Last modification on : Thursday, September 24, 2020 - 6:30:04 PM

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Sébastien Joannès, Laurent Mazé, Anthony R. Bunsell. A concentration-dependent diffusion coefficient model for water sorption in composite. Composite Structures, Elsevier, 2014, 108, pp.111-118. ⟨10.1016/j.compstruct.2013.09.007⟩. ⟨hal-00904085⟩

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