Relationships between J-integral and the strain energy evaluated in a finite volume surrounding the tip of sharp and blunt V-notches

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J-integral evaluation for U- and V-blunt notches under Mode I loading and materials obeying a power hardening law (2007, methodology): “Close form expressions linking E(e), J-integral, the structural volume and the notch stress intensity factors were given for U- and V-notches under mode I loading (Berto and Lazzarin 2007).”
Fracture assessment of U-notches under mixed mode loading: two procedures based on the ‘equivalent local mode I’ concept (2007, background): “It is important to note that Jarc is not rigorously formulated and precisely defined for the crack case (see also Berto and Lazzarin 2007 and Berto et al. 2007).”
Stress field equations for U and blunt V-shaped notches in axisymmetric shafts under torsion (2010, background): “The notch profile can then be described thanks to the following equation ( Berto and Lazzarin 2007 ):”
Local strain energy to assess the static failure of U-notches in plates under mixed mode loading (2007, background): “Recently the link between the J -integral and SED averaged over a control volume has been discussed (Berto and Lazzarin 2007).”