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A modular damage model for quasi-brittle solids-interaction between initial and induced anisotropy. (English) Zbl 1084.74543
Summary: This paper proposes a three-dimensional thermodynamically controlled damage model for a wide class of quasi-brittle materials, the modelling strategy being a continuation of the earlier work. The purpose is to keep an existing modular structure and to introduce new features to its framework. These are: (i) a thrifty insertion of initial orthotropy, (ii) the absence of irreversible strain after loading/unloading cycles (in opposition to rock-like materials described by the initial model) and especially (iii) the competition between initial orthotropy and anisotropy induced by mesocrack growth. The proposed innovation consists in adding second-order fabric tensors in conjunction with a damage tensor in the expression of the thermodynamic potential. Experimental data for a test composite material are simulated by this approach.

MSC:
74R05 Brittle damage
74E10 Anisotropy in solid mechanics
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