Asymptotic analysis of small defects near a singular point in antiplane elasticity, with an application to the nucleation of a crack at a notch

DOI10.2140/MEMOCS.2014.2.141zbMath1295.35034OpenAlexW2077395040MaRDI QIDQ397104

Jean-Jacques Marigo, Thi Bach Tuyet Dang, Laurence Halpern

Publication date: 8 August 2014

Published in: Mathematics and Mechanics of Complex Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/memocs.2014.2.141

zbMATH Keywords

brittle fractureFrancfort-Marigo lawGriffith lawinner and outer expansions at any ordermatching asymptotic expansions

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Singular perturbations in context of PDEs (35B25) Brittle fracture (74R10) Stress concentrations, singularities in solid mechanics (74G70) Variational methods applied to PDEs (35A15) Asymptotic expansions of solutions to PDEs (35C20) Theories of fracture and damage (74A45)

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