Local strain energy to assess the static failure of U-notches in plates under mixed mode loading

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Fracture assessment of U-notches under mixed mode loading: two procedures based on the ‘equivalent local mode I’ concept (2007, methodology): “It is assumed that the crescent shape volume rotates rigidly under mixed mode, with no change in shape and size. ( Gomez et al. 2007a ).”
Two-dimensional fracture mechanics problems for solids with sharp and rounded V-notches (2010, background): “In general case, for notched bodies under mixed mode loading only several fracture criteria have been proposed (Papadopoulos and Poniridis 1988; Seweryn and Mróz 1995; Dunn et al. 1997b; Hallström and Grenestedt 1997; Seweryn and Łukaszewicz 2002; Yosibash et al. 2006; Tovo et al. 2006; Berto et al.”
Application of an average strain energy density criterion to obtain the mixed mode fracture load of granite rock tested with the cracked asymmetric four-point bend specimens (2017, background): “The same assumption was verified in numerous research papers in the same field [28,29,42,43].”
J-integral evaluation for U- and V-blunt notches under Mode I loading and materials obeying a power hardening law (2007, methodology): “The ‘effective’ Mode I loading was justified by the strain energy density distribution, which resulted substantially symmetric with respect to the line crossing the point and normal to the notch edge ( Gomez et al. 2007 ).”