\textit{A priori} inequalities between energy release rate and energy concentration for 3D quasistatic brittle fracture propagation

DOI10.1177/1081286510375347zbMATH Open1269.74192arXivmath/0510225OpenAlexW2134398725MaRDI QIDQ2842393

Marius Buliga

Publication date: 14 August 2013

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

Abstract: The purpose of this paper is to fill the gap between the classical treatment of brittle fracture mechanics and the new idea of considering the crack evolution as a free discontinuity problem. Griffith and Irwin criterions of crack propagation are studied and transformed in order to be no longer dependent on any prescription of the geometry of the crack during its evolution. The inequality contained in theorem 6.1. represents the link between generalized Irwin and Griffith criterions of brittle crack propagation. The physical meaning of this inequality is explained in the last section. Further information available at http://irmi.epfl.ch/cag/buliga_bfrac.html .

Full work available at URL: https://arxiv.org/abs/math/0510225

zbMATH Keywords

energy methodsMumford-Shah functional3D brittle fracture

Mathematics Subject Classification ID

Energy minimization in equilibrium problems in solid mechanics (74G65) Brittle damage (74R05)

Cites Work

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Related Items (1)

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