Study of size effects in the Dugdale model through the case of a crack in a semi-infinite plane under anti-plane shear loading

DOI10.1007/s00161-009-0098-0zbMath1234.74008OpenAlexW2018457130MaRDI QIDQ407625

Jean-Jacques Marigo, Hicheme Ferdjani, Sami El-Borgi, Radhi Abdelmoula

Publication date: 27 March 2012

Published in: Continuum Mechanics and Thermodynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00161-009-0098-0

zbMATH Keywords

fracturesingular integral equationsize effectsChebychev polynomialsDugdale's model

Mathematics Subject Classification ID

Brittle fracture (74R10) Theories of fracture and damage (74A45)

Related Items (3)

Analysis of a Griffith crack at the interface of two piezoelectric materials under anti-plane loading ⋮ Stress gradient effects on the nucleation and propagation of cohesive cracks ⋮ Propagation of a Dugdale crack between two orthotropic half-planes

Cites Work

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• Global approach, relative minima and yield criterion in fracture mechanics
• Justification of Paris-type fatigue laws from cohesive forces model via a variational approach
• Insensitivity to small defects of the rupture of materials governed by the Dugdale model
• Revisiting brittle fracture as an energy minimization problem
• An introduction to continuum mechanics
• Initiation and propagation of fracture in the models of Griffith and Barenblatt
• Macro- and micro-cracking in one-dimensional elasticity

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