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Article Dans Une Revue Asymptotic Analysis Année : 2014

Diffusion through a composite structure with a high contrasting diffusivity

Résumé

We consider the stationary diffusion equation in a periodic composite medium made of two components Mε and Bε having very different diffusivity, the ratio between the coefficients of the diffusion in that structure being 1/αε2, where ε is the size of the period and αε which represents the amplitude of the diffusion in the inclusions Bε is a decreasing sequence towards zero. We show that the inclusions Bε work on the macroscopic diffusion as holes. In particular for scalings 0<αε ε corresponding to very weak diffusion in Bε, the volume fraction of the material at the limit is the well known one in the case of holes.
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Dates et versions

hal-01256452 , version 1 (14-01-2016)

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Ali Sili. Diffusion through a composite structure with a high contrasting diffusivity. Asymptotic Analysis, 2014, 89 (1-2), pp.173-187. ⟨10.3233/ASY-141241⟩. ⟨hal-01256452⟩
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