Homogenization of Discrete High-Contrast Energies

Abstract

This paper focuses on deriving double-porosity models from simple high-contrast atomistic interactions. Using the variational approach and $\Gamma$-convergence techniques we derive the effective double-porosity type problem and prove the convergence. We also consider the dynamical case and study the asymptotic behavior of solutions for the gradient flow of the corresponding discrete functionals.

Identifiers

DOI

10.1137/140975668

Citations and references