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International Journal for Multiscale Computational Engineering
Impact-faktor: 1.016 5-jähriger Impact-Faktor: 1.194 SJR: 0.452 SNIP: 0.68 CiteScore™: 1.18

ISSN Druckformat: 1543-1649
ISSN Online: 1940-4352

International Journal for Multiscale Computational Engineering

DOI: 10.1615/IntJMultCompEng.2018020278
pages 131-142

RANDOM WALK SIMULATION MODEL OF DIFFUSION IN CIRCULAR AND ELLIPTICAL PARTICULATE COMPOSITES

Jian Qiu
Department of Mechanical and Materials Engineering, University of Denver, Colorado 80208
Yun-Bo Yi
Department of Mechanical and Materials Engineering, University of Denver, Denver, Colorado 80208, USA

ABSTRAKT

We developed a random walk model for solving the diffusion problem arising from composite materials of particulate inclusions with different shapes. Our two-phase material system contains circular or elliptical impermeable inclusions that are randomly embedded in a matrix material. A computational algorithm was developed for random walk simulation of molecules and to estimate the effective diffusion coefficient of the composites. The random walk model has been validated by solutions from finite element analysis and effective medium theories. Our computational results show that the density of random distribution and the volume fraction of inclusions have significant effects on effective diffusion coefficients. Moreover, the aspect ratio of inclusions can significantly reduce diffusion speed when the volume fraction of inclusions is greater than? 30%.


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