We characterize the macroscopic effective mechanical behavior of a graphene sheet modeled by a hexagonal lattice of elastic bars, using Γ-convergence.

We introduce new definitions of convergence, based on adding stability criteria to Γ-convergence, that are suitable in many cases for studying convergence of local minimizers.

We study the Γ-convergence of the power-law functionals

The objective of this paper is to investigate the use calcium aluminate cements as alternative within context nuclear waste stabilization by solidification. Using an external 60Co source, effect γ-radiation on H2 gas production one cement-based materials (cement “Ciment Fondu”) and its stable hydrates, was studied. amount produced these cement pastes found be much lower (up five times less) tha...

The role of the short-lived hydrated electron (eaq–) has recently begun to be appreciated in per- and polyfluoroalkyl substances (PFAS) remediations; nevertheless, few studies date focused on short-chain PFAS, their effective defluorination been limited by an insufficient mechanistic understanding, which starts with elusive initial step eaq– reduction. Herein, this study uses pulse radiolysis c...

In this paper we study the asymptotic behaviour via Γ-convergence of some integral functionals Fε which model some multi-dimensional structures and depend explicitly on the linearized strain tensor. The functionals Fε are defined in particular classes of functions with bounded deformation while the limit problem is set in the usual framework of Sobolev spaces or BD(Ω). We also construct an exam...

We study homogenization by Γ-convergence of functionals of type Z Ω W “ x ε ,∇φ(x) ” dx, where Ω ⊂ RN is a bounded open set, φ ∈ W 1,p(Ω; Rm) and p > 1, when the 1-periodic integrand W : RN ×Mm×N → [0, +∞] is not of p-polynomial growth. Our homogenization technique can be applied when m = N and W has a singular behavior of type W (x, ξ) → +∞ as detξ → 0. However, our technique is not consistent...

We study homogenization by Γ-convergence, with respect to the L1-strong convergence, of periodic multiple integrals in W 1,∞ when the integrand can take infinite values outside of a convex bounded open set of matrices.