The sliding crack model of brittle deformation: An internal variable approach

Abstract Rice's internal variable theory including a micro-to-macro transition is employed to formulate a micromechanical, two-dimensional damage model of brittle deformation in compression. The sliding crack model is selected as a basic dissipative mechanism underlying macroscopic inelastic deformation. Microfluxes and conjugated thermodynamic forces are identified and incremental stress-strain relations are derived in loading and unloading. Comparison with the model of Nemat-Nasser and Obata (Nemat-Nasser, S. and Obata, M. (1988) A microcrack model of dilatancy in brittle materials. Journal of Applied Mechanics 55 , 24–35, in which the sliding crack mechanism was analyzed from a kinematic point of view, is presented. An illustrative example is worked out showing the capability of the present model to predict experimentally observed response of a compact rock.

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