Firstly the focus is put on the formulation of an holonomic (in the sense of plastic deformation theory) constitutive model for a mixed-mode cohesive interface crack at the interface of a concrete structure accounting for the influence of water pressure. Secondly, the consequent discretized formulation of piece-wise linear interface laws in terms of generalized variables and its formulation as a linear complementarity problem is presented. At the end of this paper, numerical analysis for mixed-mode cohesive fracture of a concrete-rock interface of a benchmark gravity dam is described.
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