Damage as the Γ-limit of microfractures in linearized elasticity under the non-interpenetration constraint
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Publication:3053240
DOI10.1515/ACV.2010.020zbMath1200.49013OpenAlexW2080330155MaRDI QIDQ3053240
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.2010.020
integral representationbrittle fracturehomogenizationdamage\(\Gamma\)-convergencenon-interpenetration
Brittle fracture (74R10) Methods involving semicontinuity and convergence; relaxation (49J45) Brittle damage (74R05) Homogenization, determination of effective properties in solid mechanics (74Q99)
Related Items (7)
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 ⋮ Homogenization of many-body structures subject to large deformations ⋮ Homogenisation of high-contrast brittle materials
Cites Work
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- Initiation of cracks with cohesive force models: a variational approach
- DAMAGE AS Γ-LIMIT OF MICROFRACTURES IN ANTI-PLANE LINEARIZED ELASTICITY
- An extension theorem from connected sets, and homogenization in general periodic domains
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