Diffusion in Condensed Matter by Finite Element Method

Abstract:

In this Chapter, the finite element simulations of diffusion processes in homogeneous and polycrystalline materials are presented as well as some analytical solutions and implementations of basic diffusion relations. For the homogeneous materials the presented examples show the changes in time of the concentration of diffusing matter within the semi-infinite system and simulation of anisotropic nature of diffusion processes.The polycrystalline materials have been analysed for three cases, namely influence of average grain size and the homogeneity of grain size on the macroscopic diffusivity as well as simulation of the diffusion strains. The homogenisation technique has been used to estimate the diffusion property of grains aggregates.

• Periodical: Diffusion Foundations (Volume 12)
• Pages: 127-145
• DOI: https://doi.org/10.4028/www.scientific.net/DF.12.127
• Online since: September 2017
• Authors: Romuald Dobosz, Krzysztof Jan Kurzydlowski
• Keywords: Diffusion, Finite Element Method, Polycrystalline Materials

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