A Bridging Mechanism in the Homogenization of Brittle Composites with Soft Inclusions

DOI10.1137/15M1007343zbMath1337.49015OpenAlexW2116436022MaRDI QIDQ2796504

Giuliano Lazzaroni, Caterina Ida Zeppieri, Marco Barchiesi

Publication date: 29 March 2016

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/15m1007343

zbMATH Keywords

fracture mechanicshomogenizationmultiscale analysis\(\Gamma\)-convergencefree-discontinuity problemsbrittle composites

Mathematics Subject Classification ID

Brittle fracture (74R10) Composite and mixture properties (74E30) Energy minimization in equilibrium problems in solid mechanics (74G65) Methods involving semicontinuity and convergence; relaxation (49J45) Homogenization in equilibrium problems of solid mechanics (74Q05)

Related Items (16)

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} ⋮ Cohesive fracture with irreversibility: Quasistatic evolution for a model subject to fatigue ⋮ 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 composites under differential constraints ⋮ Integral representation and \(\Gamma\)-convergence for free-discontinuity problems with \(p(\cdot)\)-growth ⋮ Two-phase models for elastic membranes with soft inclusions ⋮ Toughening by crack deflection in the homogenization of brittle composites with soft inclusions ⋮ Homogenization of High-contrast Mumford--Shah Energies ⋮ Phase-field approximation for a class of cohesive fracture energies with an activation threshold ⋮ On the Approximation of SBD Functions and Some Applications ⋮ Asymptotic rigidity of layered structures and its application in homogenization theory ⋮ Integral representation for energies in linear elasticity with surface discontinuities ⋮ Homogenisation of high-contrast brittle materials

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