A new criterion for the prediction of crack development in multiaxially loaded structures

By M. Schöllmann, H. Richard, G. Kullmer, M. Fulland. 2002

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Three-dimensional crack growth with hp-generalized finite element and face offsetting methods (2010, methodology): “The effects of mode III in mixed mode fatigue crack growth are discussed and formulated in the works of Pook [52,53], Schollmann et al. [ 62 ], and Richard et al. [58].”
A two-scale approach for the analysis of propagating three-dimensional fractures (2012, methodology): “tion at each crack step is represented by a kinking angle and a twisting angle as illustrated in Fig. 23. In this work, Schollmann’s criterion [ 53 ] is adopted.”
Coupled hydromechanical‐fracture simulations of nonplanar three‐dimensional hydraulic fracture propagation (2018, methodology): “where KI, KII, KIII, and θ0 are computed at fracture front vertex j with θ0 computed using Schöllmann’s criterion.(18,44) This scaling law is referred to as the GD (Gupta-Duarte) model from here on.”