Analytical study of the elastic-plastic stress fields ahead of parabolic notches under antiplane shear loading

DOI10.1007/s10704-008-9185-7zbMath1264.74252OpenAlexW2050435112MaRDI QIDQ1956162

Michele Zappalorto, Paolo Lazzarin

Publication date: 13 June 2013

Published in: International Journal of Fracture (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10704-008-9185-7

zbMATH Keywords

strain energy densitynotch stress intensity factorelastic-plastic stress distributionparabolic notches

Mathematics Subject Classification ID

Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of equilibrium problems in solid mechanics (74G10) Anelastic fracture and damage (74R20)

Related Items (8)

Configurational fracture toughness from the perfectly plastic field ahead of the tip of a sharp V-notch under longitudinal shear ⋮ Stress field equations for U and blunt V-shaped notches in axisymmetric shafts under torsion ⋮ Linear elastic solutions for slotted plates ⋮ On the intensity of linear elastic high order singularities ahead of cracks and re-entrant corners ⋮ Plastic notch stress intensity factors for pointed V-notches under antiplane shear loading ⋮ A new version of the Neuber rule accounting for the influence of the notch opening angle for out-of-plane shear loads ⋮ A unified approach to the analysis of nonlinear stress and strain fields ahead of mode III-loaded notches and cracks ⋮ Surface effects on the near-tip stress fields of a mode-II crack

Cites Work

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• Elastic-plastic torsion of sharply notched bars
• Elastic stress distributions for hyperbolic and parabolic notches in round shafts under torsion and uniform antiplane shear loadings
• Determination of higher-order terms in asymptotic elastoplastic crack tip solutions
• Higher-order analysis of crack tip fields in elastic power-law hardening materials
• 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
• Effects of characteristic material lengths on mode III crack propagation in couple stress elastic-plastic materials
• Theory of Stress Concentration for Shear-Strained Prismatical Bodies With Arbitrary Nonlinear Stress-Strain Law
• An elastic-plastic problem under conditions of antiplanar deformation

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