Abstract
The averaged value of the strain energy density over a well-defined volume is used to predict the static strength of U-notched specimens under mixed-mode conditions due to combined bending and shear loads. The volume is centered in relation to the maximum principal stress present on the notch edge, by rigidly rotating the crescent-shaped volume already used in the literature to analyse U- and V-shaped notches subject to mode I loading. The volume size depends on the ultimate tensile strength σ u and the fracture toughness K IC of the material. In parallel, an experimental programme was performed. All specimens are made of polymethyl-metacrylate (PMMA), a material which exhibits quasi-brittle behaviour at -60°C. Good agreement is found between experimental data for the critical loads to failure and theoretical predictions based on the constancy of the mean strain energy density over the control volume.
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Gómez, F.J., Elices, M., Berto, F. et al. Local strain energy to assess the static failure of U-notches in plates under mixed mode loading. Int J Fract 145, 29–45 (2007). https://doi.org/10.1007/s10704-007-9104-3
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DOI: https://doi.org/10.1007/s10704-007-9104-3