Highly Influenced

# 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} }

- Published 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