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.
Braides, A., Chiado Piat, V., Piatnitski, A. (2015). Homogenization of discrete high-contrast energies. SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 47(4), 3064-3091 [10.1137/140975668].
Homogenization of discrete high-contrast energies
Braides A.;
2015-01-01
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.File in questo prodotto:
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