By David E. Malach
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Extra info for Advances in Mechanical Engineering Research; Volume 2
4 is energetic equivalent to the unloading steps AE and FC and the fracturing step EF at constant stress EB = FD = (AB +DC)/2. Thus AABDC = AEBDF . 5 AABDC , equal to half the work done by the external stresses during crack propagation and thus also equal to the other half, the work of crack extension. It thus is shown that half the area under the load-displacement curve represents the fracture energy. For mode II, only line OACO in 20 T. A. C. M. 3 is measured and AOAC is regarded to be the fracture energy.
5). The condition 1 2 means that there is sufficient elastic energy for total unloading and thus full crack extension with sufficient external work for plastic dissipation by the joints. 3. 5 as follows from the test data given in . 7 and dowel diameters of 10 and 24 mm. 5 nc and not splitting but flow of the connection is determining for failure reaching the in  theoretical explained high embedding strength by hardening as to be expected for the always sufficient high spreading possibility of one- (or two-) dowel joints.
Irwin, On cracks in rectilinearly anisotropic bodies, Int. J. of Fract. Mech. 1 (1965) 189-203. H. Valentin, L. J. Gustafsson, A. Ranta-Maunus, S. Gowda, RILEM state-of-the-art report on fracture mechanics, VTT Report 1262, Espoo, Finland July 1991 4. 1. Introduction The always applied singularity approach of fracture mechanics contains no physical failure criterion for the ultimate state because stresses go to infinity at the singularity and therefore energy methods are necessary and additional models to constitute such failure criteria as for instance the J-integral to determine the strain energy release rate and the fictitious crack models to obtain finite ultimate stresses etc.