Elastic stress distributions for hyperbolic and parabolic notches in round shafts under torsion and uniform antiplane shear loadings

DOI10.1016/j.ijsolstr.2008.04.020zbMath1169.74339OpenAlexW2139581830MaRDI QIDQ837487

Jonathan R. Yates, Michele Zappalorto, Paolo Lazzarin

Publication date: 10 September 2009

Published in: International Journal of Solids and Structures (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ijsolstr.2008.04.020

zbMATH Keywords

strain energy densitytorsionstress distributionnotchnotch stress intensity factorantiplane shear loading

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Brittle fracture (74R10) Stress concentrations, singularities in solid mechanics (74G70) Explicit solutions of equilibrium problems in solid mechanics (74G05)

Related Items (14)

Interaction of a parabolic notch with a generalized singularity ⋮ A theoretical treatise for notch and defect sensitivity under torsion ⋮ Stress field equations for U and blunt V-shaped notches in axisymmetric shafts under torsion ⋮ Study of stress-strain state of elastic body with hyperbolic notch ⋮ Path-independent integral for the sharp V-notch in longitudinal shear problem ⋮ On the intensity of linear elastic high order singularities ahead of cracks and re-entrant corners ⋮ In-plane and out-of-plane stress field solutions for V-notches with end holes ⋮ Generalised stress intensity factors for rounded notches in plates under in-plane shear loading ⋮ Analytical study of the elastic-plastic stress fields ahead of parabolic notches under antiplane shear loading ⋮ Exact solution of some exterior boundary value problems of elasticity in parabolic coordinates ⋮ 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 ⋮ Analytical solutions of some internal boundary value problems of elasticity for domains with hyperbolic boundaries ⋮ A new explicit solution for the mode I stress fields in notched orthotropic solids

Cites Work

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• Local strain energy to assess the static failure of U-notches in plates under mixed mode loading
• Fracture initiation at sharp notches: Correlation using critical stress intensities
• Developments of some explicit formulas useful to describe elastic stress fields ahead of notches in plates.
• Asymptotic characterisation of nearly-sharp notch root stress fields
• Some expressions for the strain energy in a finite volume surrounding the root of blunt V-notches
• Relationships between \(J\)-integral and the strain energy evaluated in a finite volume surrounding the tip of sharp and blunt V-notches
• A generalized stress intensity factor to be applied to rounded V-shaped notches
• On stress singularities in linear elasticity
• The flexure and torsion of an internally cracked shaft
• Flexure and torsion of cylinders with cross-sections bounded by orthogonal circular arcs
• Complex potentials in two-dimensional elasticity

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