An improved description of the exponential Xu and Needleman cohesive zone law for mixed-mode decohesion

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A phase-field method for computational modeling of interfacial damage interacting with crack propagation in realistic microstructures obtained by microtomography (2016, neutral): “In a ﬁrst model (called M1), a nonlinear elastic cohesive model without dependence on history is used [13,39]: where w n = w · n I and w t = w · m I , m I being a tangent vector to Γ I , g Ic is the toughness associated with the interface, and The relation between δ n , the toughness g Ic (which…”
Interfacial stress analysis and prediction of debonding for a thin plate bonded to a curved substrate (2009, background): “Also, the lack of a potential introduces a path-dependency, which has a physical ground considering that cohesive zone models can describe an irreversible damage process at an interface (van den Bosch et al. 2006).”