Homogenization of Discrete High-Contrast Energies
Andrea Braides, Valeria Chiadò Piat, Andrey Lvovich Piatnitski · SIAM Journal on Mathematical Analysis · 2015
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.