A damage constitutive model of rock-like materials containing a single crack under the action of chemical corrosion and uniaxial compression

Abstract

To describe the deformation and strength characteristics of the corroded rock-like specimens containing a single crack under uniaxial compression, a damage constitutive model combining hydro-chemical damage with coupling damage of micro-flaws and macro-cracks is proposed. Firstly, based on phenomenological theory, the damage variable of the rock-like specimens subjected to water environment erosion and chemical corrosion is obtained. Secondly, a coupled damage variable for cracked rock-like specimens is derived based on the Lemaitre strain equivalence hypothesis, which combines the Weibull statistical damage model for micro-flaws and the fracture mechanics model for a macro single crack. Then, considering the residual strength characteristics of the rock-like materials, the damage variable is modified by introducing the correction coefficient, and the damage constitutive model of the corroded rock-like specimens with a single crack under uniaxial compression is established. The model is verified by comparing the experimental stress — strain curves, and the results are in good agreement with those provided in the literature. Finally, the correction coefficient of the damage variable proposed in this paper is discussed. The damage constitutive model developed in this paper provides an effective method to describe the stress — strain relationship and residual strength characteristics of the corroded rock-like specimens with a single crack under uniaxial compression.

Keywords

rock-like material / single-cracked rock / damage constitutive model / hydro-chemical erosion / residual strength / damage variable

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