Averaged strain energy density and J-integral for U- and blunt V-shaped notches under torsion

Analytical solutions for the J-integral and the strain energy density (SED) averaged over a control volume are presented for U- and blunt V-shaped notches under torsion. The influence of the notch tip radius and the notch opening angle are fully included in the new proposed relationships. These expr...

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Veröffentlicht in:International journal of fracture 2014-08, Vol.188 (2), p.173-186
Hauptverfasser: Lazzarin, Paolo, Zappalorto, Michele, Berto, Filippo
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container_title International journal of fracture
container_volume 188
creator Lazzarin, Paolo
Zappalorto, Michele
Berto, Filippo
description Analytical solutions for the J-integral and the strain energy density (SED) averaged over a control volume are presented for U- and blunt V-shaped notches under torsion. The influence of the notch tip radius and the notch opening angle are fully included in the new proposed relationships. These expressions take advantage of some recent solutions for the stress fields ahead of blunt notches under Mode III loading and can be seen as a synthesis of the efforts carried out during the last years by the present authors on this topic. Afterwards, the expressions are applied to a recent set of experimental data from cracked, notched and plain specimens tested under torsion at low temperature ( - 60 ∘ C ) . The large scatter shown by notched specimens in terms of maximum elastic stresses strongly reduces when the J-integral or the local SED are used in combination with the specific control volumes.
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subjects Automotive Engineering
Characterization and Evaluation of Materials
Chemistry and Materials Science
Civil Engineering
Classical Mechanics
Elastic scattering
Exact solutions
Flux density
Fracture mechanics
J integral
Materials Science
Mechanical Engineering
Notches
Original Paper
Strain energy
Stress distribution
Torsion
title Averaged strain energy density and J-integral for U- and blunt V-shaped notches under torsion
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