Homogenization of Fiber Reinforced Brittle Materials: The Extremal Cases

DOI10.1137/080744372zbMath1203.35025OpenAlexW2069026542MaRDI QIDQ4931690

Marco Barchiesi, Gianni Dal Maso

Publication date: 30 September 2010

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

Full work available at URL: http://hdl.handle.net/20.500.11824/507

zbMATH Keywords

fracture mechanics\(\Gamma\)-convergencefree discontinuityasymptotic behaviour of energybrittle mechanics

Mathematics Subject Classification ID

Brittle fracture (74R10) Composite and mixture properties (74E30) Homogenization in equilibrium problems of solid mechanics (74Q05) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Qualitative behavior of solutions of equilibrium problems in solid mechanics (74G55)

Related Items (11)

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 the Neumann problem in perforated domains: an alternative approach ⋮ Homogenization of fiber reinforced brittle materials: the intermediate case ⋮ On elastic bodies with thin rigid inclusions and cracks ⋮ 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

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