Plane stress asymptotic solution for steady crack growth in an elastic/perfectly plastic solid for mode I crack propagation

DOI10.1007/s00033-022-01916-4zbMath1524.74038OpenAlexW4360980937MaRDI QIDQ6102494

David J. Unger

Publication date: 8 May 2023

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00033-022-01916-4

zbMATH Keywords

parabolic von Mises yield conditionsteadily moving mode-I crack

Mathematics Subject Classification ID

Small-strain, rate-independent theories of plasticity (including rigid-plastic and elasto-plastic materials) (74C05) Theories of fracture and damage (74A45)

Related Items (1)

Material stability criteria for a plane stress asymptotic solution for steady mode I crack growth in an elastic/perfectly plastic solid

Cites Work

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• Asymptotic analysis of growing plane strain tensile cracks in elastic- ideally plastic solids
• Continuing crack-tip deformation and fracture for plane-strain crack growth in elastic-plastic solids
• Limitations to leading-order asymptotic solutions for elastic-plastic crack growth.
• Generalized Tresca yield condition as a family of elliptic curves with application to mode I crack problems
• Elastic-plastic mechanics of steady crack growth under anti-plane shear
• A Plane Stress Perfectly Plastic Mode I Crack Solution With Continuous Stress Field
• A Complete Perfectly Plastic Solution for the Mode I Crack Problem Under Plane Stress Loading Conditions
• Asymptotic Fields of a Perfectly-Plastic, Plane-Stress Mode II Growing Crack

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