\(\Gamma\)-convergence of free-discontinuity problems
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Publication:2422796
DOI10.1016/j.anihpc.2018.11.003zbMath1417.49010arXiv1712.07093OpenAlexW2900852635MaRDI QIDQ2422796
Caterina Ida Zeppieri, Filippo Cagnetti, Lucia Scardia, Gianni Dal Maso
Publication date: 21 June 2019
Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1712.07093
Variational problems in a geometric measure-theoretic setting (49Q20) Methods involving semicontinuity and convergence; relaxation (49J45) Homogenization in equilibrium problems of solid mechanics (74Q05)
Related Items (22)
A global method for deterministic and stochastic homogenisation in \textit{BV} ⋮ A compactness result in \(GSBV^p\) and applications to \(\varGamma \)-convergence for free discontinuity problems ⋮ Stochastic homogenization of degenerate integral functionals with linear growth ⋮ Stochastic homogenisation of free-discontinuity problems ⋮ Stochastic homogenization of degenerate integral functionals and their Euler-Lagrange equations ⋮ \(\Gamma\)-convergence and stochastic homogenisation of singularly-perturbed elliptic functionals ⋮ Integral representation and \(\Gamma\)-convergence for free-discontinuity problems with \(p(\cdot)\)-growth ⋮ Gradient Damage Models for Heterogeneous Materials ⋮ Γ-convergence and stochastic homogenisation of phase-transition functionals ⋮ Lower semicontinuity and relaxation for free discontinuity functionals with non-standard growth ⋮ \Gamma-convergence for free-discontinuity problems in linear elasticity: homogenization and relaxation ⋮ Brittle membranes in finite elasticity ⋮ Two-phase models for elastic membranes with soft inclusions ⋮ Discrete-to-Continuum Limits of Multibody Systems with Bulk and Surface Long-Range Interactions ⋮ Variational methods for the modelling of inelastic solids. Abstracts from the workshop held February 4--10, 2018 ⋮ Homogenization of High-contrast Mumford--Shah Energies ⋮ Functionals defined on piecewise rigid functions: integral representation and \(\Gamma \)-convergence ⋮ Emergence of rigid polycrystals from atomistic systems with Heitmann-Radin sticky disk energy ⋮ Homogenization of ferromagnetic energies on Poisson random sets in the plane ⋮ Integral representation for energies in linear elasticity with surface discontinuities ⋮ Calculus of variations. Abstracts from the workshop held July 29 -- August 4, 2018 ⋮ Homogenisation of high-contrast brittle materials
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