Non-local homogenized limits for composite media with highly anisotropic periodic fibres

@inproceedings{Cherednichenko2006NonlocalHL,
  title={Non-local homogenized limits for composite media with highly anisotropic periodic fibres},
  author={Kirill D. Cherednichenko and Valery P. Smyshlyaev and V. V. Zhikov},
  year={2006}
}
We consider a homogenization problem for highly anisotropic conducting fibres embedded into an isotropic matrix. For a ‘double porosity’-type scaling in the expression of high contrast between the conductivity along the fibres and the conductivities in the transverse directions, we prove the homogenization theorem and derive two-scale homogenized equations using a version of the method of two-scale convergence, supplemented in the case when the spectral parameter λ = 0 by a newly derived… CONTINUE READING

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