On a 3D micromechanical damage model
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In the present contribution a 3D two-scale damage model is obtained by asymptotic-developments homogenization, assuming a locally periodic micro-crack distribution. At the microscopic level an energy-based propagation criterion is considered and the macroscopic damage equations are completely deduced through the change of scale procedure. We show that the new damage equations naturally capture microscopic lengths. Their presence in the macroscopic equations leads to size effects, which are investigated in the case of brittle and quasi-brittle damage. The differences with respect to previous results, concerning the 2D case, are pointed out.
KeywordsMicrocrack propagation Damage Homogenization Asymptotic developments Three-dimensional analysis Brittle/quasi-brittle materials
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