Abstract
Damage and failure of quasi-brittle materials are caused by the evolution and coalescence of micro-cracks. To solve the problem of elliptical micro-crack growth at the elastic deformation stage, a method of complex potential functions is proposed and the effect of the initial orientation on micro-crack growth and deflection is discussed. The critical stress condition for the initial damage is derived according to the criterion of micro-crack growth. Based on energy conservation during wing-crack propagation, a damage constitutive model is developed with the strain criterion created in the condition of micro-crack coalescence. The stress-strain curves of quasi-brittle materials in uniaxial compression obtained based on this model are examined with the experimental results.
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Ning, J., Ren, H. & Fang, M. A constitutive model based on the evolution and coalescence of elliptical micro-cracks for quasi-brittle materials. Chin. Sci. Bull. 57, 3773–3781 (2012). https://doi.org/10.1007/s11434-012-5319-4
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DOI: https://doi.org/10.1007/s11434-012-5319-4