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Homogenization-based analysis of anisotropic damage in brittle materials with unilateral effect and interactions between microcracks. (English) Zbl 1273.74419
Summary: This paper is devoted to micromechanical modeling of induced anisotropic damage in brittle geomaterials. The formulation of the model is based on a proper homogenization procedure by taking into account unilateral effects and interactions between microcracks. The homogenization procedure is developed in the framework of Eshelby’s inclusion solution and P. Ponte-Castaneda and J. R. Willis [J. Mech. Phys. Solids 43, No. 12, 1919–1951 (1995; Zbl 0919.73061)] estimate. The homogenization technique is combined with the thermodynamics framework at microscopic level for the determination of damage evolution law. A rigorous crack opening-closure transition condition is established and an energy-release-rate-based damage criterion is proposed. Computational aspects on the implementation of micromechanical model are also discussed. The proposed model is evaluated by comparing numerical predictions with experimental data for various laboratory tests on concrete. Parametric studies on unilateral effects and influences of microcracks interactions are finally performed and analyzed.

MSC:
74R05 Brittle damage
74Q05 Homogenization in equilibrium problems of solid mechanics
74M25 Micromechanics of solids
74L10 Soil and rock mechanics
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