Convergence et relaxation de fonctionnelles du calcul des variations à croissance linéaire. Application à l'homogénéisation en plasticité

DOI10.5802/afst.628zbMath0663.49002OpenAlexW4297872813MaRDI QIDQ3812830

Guy Bouchitté

Publication date: 1986

Published in: Annales de la faculté des sciences de Toulouse Mathématiques (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AFST_1986-1987_5_8_1_7_0

zbMATH Keywords

homogenizationrelaxationconvergence of a sequence of integral functionals

Mathematics Subject Classification ID

Anelastic fracture and damage (74R20) Methods involving semicontinuity and convergence; relaxation (49J45) Absolutely continuous real functions of several variables, functions of bounded variation (26B30)

Related Items (12)

Stochastic homogenization of nonconvex integrals in the space of functions of bounded deformation ⋮ A characterization of families of function sets described by constraints on the gradient ⋮ Homogenization problems in the calculus of variations: an overview ⋮ Homogenization of the Prager model in one-dimensional plasticity ⋮ On the Integral Representation of Variational Functionals on $BD$ ⋮ On periodic homogenization in perfect elasto-plasticity ⋮ A general homogenization result for almost periodic functionals ⋮ Limit analysis of multi-layered plates. I: The homogenized Love-Kirchhoff model ⋮ Limit analysis of periodic beams ⋮ Homogenization of besicovitch type almost periodic functionals ⋮ Comparison results for some types of relaxation of variational integral functionals ⋮ A rigorous homogenization method for the determination of the overall ultimate strength of periodic discrete media and an application to general hexagonal lattices of beams

Cites Work

• Dual spaces of stresses and strains, with applications to Hencky plasticity
• Pairings between measures and bounded functions and compensated compactness
• Funzioni BV e tracce
• Integral representation on \(BV(\Omega )\) of \(\Gamma\)-limits of variational integrals
• Some properties of Gamma-limits of integral functionals
• Periodic solutions and homogenization of non linear variational problems
• Extension of Fenchel's duality theorem for convex functions
• Sublinear functions of measures and variational integrals
• The Euler Equation for Functionals with Linear Growth
• Dirichlet problem for demi-coercive functionals
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