Toughening by crack deflection in the homogenization of brittle composites with soft inclusions

DOI10.1007/s00205-017-1173-5zbMath1387.35569arXiv1611.02339OpenAlexW2555651587MaRDI QIDQ1702105

Marco Barchiesi

Publication date: 28 February 2018

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1611.02339

zbMATH Keywords

soft inclusionsspecial functions of bounded variationaffine, discontinuous solutions

Mathematics Subject Classification ID

Brittle fracture (74R10) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items (4)

On the lack of compactness in the axisymmetric neo-Hookean model ⋮ Homogenization of high-contrast composites under differential constraints ⋮ Homogenization of High-contrast Mumford--Shah Energies ⋮ Homogenisation of high-contrast brittle materials

Cites Work

• Homogenization of the Neumann problem in perforated domains: an alternative approach
• An extension theorem in SBV and an application to the homogenization of the Mumford-Shah functional in perforated domains
• A \(\Gamma\)-convergence approach to stability of unilateral minimality properties in fracture mechanics and applications
• A Bridging Mechanism in the Homogenization of Brittle Composites with Soft Inclusions
• FRACTURE MECHANICS IN PERFORATED DOMAINS: A VARIATIONAL MODEL FOR BRITTLE POROUS MEDIA
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