Mode I crack tip fields: strain gradient plasticity theory versus J2 flow theory

DOI10.1016/J.EUROMECHSOL.2019.02.009zbMath1473.74125arXiv1902.04914OpenAlexW2911767051WikidataQ128311541 ScholiaQ128311541MaRDI QIDQ2421984

Emilio Martínez-Pañeda, Norman A. Fleck

Publication date: 18 June 2019

Published in: European Journal of Mechanics. A. Solids (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1902.04914

zbMATH Keywords

Cauchy stressasymptotic analysisfinite element analysisstress intensity factorlength scale

Mathematics Subject Classification ID

Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of equilibrium problems in solid mechanics (74G10) Stress concentrations, singularities in solid mechanics (74G70) Anelastic fracture and damage (74R20) Finite element methods applied to problems in solid mechanics (74S05)

Related Items (3)

A second-order strain gradient fracture model for the brittle materials with micro-cracks by a multiscale asymptotic homogenization ⋮ Fracture in distortion gradient plasticity ⋮ Gradient-enhanced statistical analysis of cleavage fracture

Uses Software

• CodeCMSG
• EPXFEM
• UELSGP

Cites Work

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• A unified treatment of strain gradient plasticity
• Mechanism-based strain gradient plasticity. I: Theory
• On the finite element implementation of higher-order gradient plasticity, with focus on theories based on plastic distortion incompatibility
• A theory of strain-gradient plasticity for isotropic, plastically irrotational materials. I: small deformations
• Plane strain deformation near a crack tip in a power-law hardening material
• Singular behaviour at the end of a tensile crack in a hardening material
• Fracture in mechanism-based strain gradient plasticity
• A reformulation of strain gradient plasticity.

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