Developments of some explicit formulas useful to describe elastic stress fields ahead of notches in plates.

DOI10.1016/S0020-7683(02)00342-6zbMath1049.74575MaRDI QIDQ1863393

R. Tovo, Stefano Filippi, Paolo Lazzarin

Publication date: 11 March 2003

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

zbMATH Keywords

elasticitystress concentration factorV-notchnotch stress intensity factorcomplex potential function

Mathematics Subject Classification ID

Brittle fracture (74R10) Plates (74K20) Stress concentrations, singularities in solid mechanics (74G70)

Related Items (25)

The concentration of stress and strain in finite thickness elastic plate containing a circular hole ⋮ Elastic stress distributions for hyperbolic and parabolic notches in round shafts under torsion and uniform antiplane shear loadings ⋮ Interaction of a parabolic notch with a generalized singularity ⋮ A stress distribution remodelling technique ⋮ Two-dimensional fracture mechanics problems for solids with sharp and rounded V-notches ⋮ Stress field equations for U and blunt V-shaped notches in axisymmetric shafts under torsion ⋮ Local strain energy to assess the static failure of U-notches in plates under mixed mode loading ⋮ Strict upper and lower bounds of stress intensity factors at 2D elastic notches based on constitutive relation error estimation ⋮ Generalised stress intensity factors for rounded notches in plates under in-plane shear loading ⋮ Analytical evaluation of \(J\)-integral for elliptical and parabolic notches under mode I and mode II loading ⋮ 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 ⋮ Elastic stress analysis of blunt V-notches under mixed mode loading by considering higher order terms ⋮ Determination of mode II fracture toughness for U-shaped notches using Brazilian disc specimen ⋮ Brittle failures at rounded V-notches: a finite fracture mechanics approach ⋮ A new version of the Neuber rule accounting for the influence of the notch opening angle for out-of-plane shear loads ⋮ Analytic evaluation of the difference between Oore-Burns and Irwin stress intensity factor for elliptical cracks ⋮ Failure criteria for linear elastic materials with U-notches ⋮ A unified approach to the analysis of nonlinear stress and strain fields ahead of mode III-loaded notches and cracks ⋮ Effect of plate thickness on stress state at sharp notches and the strength paradox of thick plates ⋮ Spatially resolved piezo-spectroscopic characterizations for the validation of theoretical models of notch-root stress fields in ceramic materials ⋮ Stress distributions in orthotropic solids with blunt notches under in-plane shear loadings ⋮ Dislocation emission criterion from a blunt crack tip ⋮ A new explicit solution for the mode I stress fields in notched orthotropic solids ⋮ Asymptotic stress field around the blunt and sharp notches in bimaterial media under mixed mode I/II loading

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