Affiliations: IMATH, EA 2134, Université du Sud Toulon-Var, Bâtiment U, BP 20132-83957 La Garde Cedex, France | LMGC, UMR-CNRS 5508, Université Montpellier II, Case courier 048, Place Eugène Bataillon, 34095 Montpellier Cedex 5, France | I3M, UMR-CNRS 5149, Université Montpellier II, Case courier 051, Place Eugène Bataillon, 34095 Montpellier Cedex 5, France and MIPA, Université de Nîmes, Nîmes Cedex 1, France
Abstract: We show that the variational limit of a ε-soft and thin junction problem (𝒫ε) with sources concentrated in the junction gives rise to a surface energy mixing the internal energy and sources. The surface energy functional possesses an integral representation with respect to the gradient Young-concentration measures generated by sequences (ūε)ε>0 of minimizers of (𝒫ε).
Keywords: Γ-convergence, gradient Young measures, concentration measures, minimization problems
