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Homogenization-based analysis of anisotropic damage in brittle materials with unilateral effect and interactions between microcracks

Abstract : 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 Ponte-Castaneda and Willis (J. Mech. Phys. Solids 1995; 43:1919-1951) 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.
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https://hal.archives-ouvertes.fr/hal-00381088
Contributor : Marie-Christine Nodot Connect in order to contact the contributor
Submitted on : Tuesday, May 5, 2009 - 11:01:19 AM
Last modification on : Saturday, December 18, 2021 - 3:28:01 AM

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Qi-Zhi Zhu, Djimedo Kondo, Jian-Fu Shao. Homogenization-based analysis of anisotropic damage in brittle materials with unilateral effect and interactions between microcracks. International Journal for Numerical and Analytical Methods in Geomechanics, Wiley, 2009, 33 (5), pp.749-772. ⟨10.1002/nag.741⟩. ⟨hal-00381088⟩

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