DAMAGE AS Γ-LIMIT OF MICROFRACTURES IN ANTI-PLANE LINEARIZED ELASTICITY

DOI10.1142/S0218202508003170zbMath1157.74003arXiv0803.0931OpenAlexW2142036841MaRDI QIDQ3607496

Lucia Scardia

Publication date: 2 March 2009

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0803.0931

zbMATH Keywords

integral representationhomogenizationbrittle inclusions

Mathematics Subject Classification ID

Theories of fracture and damage (74A45) Homogenization in equilibrium problems of solid mechanics (74Q05) Brittle damage (74R05) Equations linearized about a deformed state (small deformations superposed on large) (74B15)

Related Items (9)

A global method for deterministic and stochastic homogenisation in \textit{BV} ⋮ Stochastic homogenisation of free-discontinuity problems ⋮ \(\Gamma\)-convergence of free-discontinuity problems ⋮ Homogenization of high-contrast composites under differential constraints ⋮ Homogenization of High-contrast Mumford--Shah Energies ⋮ Damage as the Γ-limit of microfractures in linearized elasticity under the non-interpenetration constraint ⋮ FRACTURE MECHANICS IN PERFORATED DOMAINS: A VARIATIONAL MODEL FOR BRITTLE POROUS MEDIA ⋮ Homogenization of many-body structures subject to large deformations ⋮ Homogenisation of high-contrast brittle materials

Cites Work

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• THE ASYMPTOTIC BEHAVIOR OF SOLUTIONS OF THE SECOND BOUNDARY VALUE PROBLEM UNDER FRAGMENTATION OF THE BOUNDARY OF THE DOMAIN
• An extension theorem from connected sets, and homogenization in general periodic domains
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