Homogenization of fiber reinforced brittle materials: the intermediate case

DOI10.1515/ACV.2010.011zbMath1200.49011OpenAlexW2044016593MaRDI QIDQ3053236

Caterina Ida Zeppieri, Gianni Dal Maso

Publication date: 4 November 2010

Published in: Advances in Calculus of Variations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/acv.2010.011

zbMATH Keywords

homogenizationcohesive zone model\(\Gamma \)-convergencefree-discontinuity problems

Mathematics Subject Classification ID

Brittle fracture (74R10) Methods involving semicontinuity and convergence; relaxation (49J45) Phase transitions (general) in equilibrium statistical mechanics (82B26) Homogenization, determination of effective properties in solid mechanics (74Q99)

Related Items (9)

Asymptotic analysis of deformation behavior in high-contrast fiber-reinforced materials: Rigidity and anisotropy ⋮ A global method for deterministic and stochastic homogenisation in \textit{BV} ⋮ Stochastic homogenisation of free-discontinuity problems ⋮ On continuum limits of heterogeneous discrete systems modelling cracks in composite materials ⋮ \(\Gamma\)-convergence of free-discontinuity problems ⋮ Homogenization of High-contrast Mumford--Shah Energies ⋮ A Bridging Mechanism in the Homogenization of Brittle Composites with Soft Inclusions ⋮ Homogenization of many-body structures subject to large deformations ⋮ Homogenisation of high-contrast brittle materials

Cites Work

• Existence theory for a new class of variational problems
• A global method for relaxation in \(W^{1,p}\) and in SBV\(_p\)
• Homogenization of free discontinuity problems
• A density result in SBV with respect to non-isotropic energies
• Homogenization of Fiber Reinforced Brittle Materials: The Extremal Cases

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