Novel damage constitutive models and new quantitative identification method for stress thresholds of rocks under uniaxial compression

Abstract

Four key stress thresholds exist in the compression process of rocks, i. e., crack closure stress (σ_cc), crack initiation stress (σ_ci), crack damage stress (σ_cd) and compressive strength (σ_c). The quantitative identifications of the first three stress thresholds are of great significance for characterizing the microcrack growth and damage evolution of rocks under compression. In this paper, a new method based on damage constitutive model is proposed to quantitatively measure the stress thresholds of rocks. Firstly, two different damage constitutive models were constructed based on acoustic emission (AE) counts and Weibull distribution function considering the compaction stages of the rock and the bearing capacity of the damage element. Then, the accumulative AE counts method (ACLM), AE count rate method (CRM) and constitutive model method (CMM) were introduced to determine the stress thresholds of rocks. Finally, the stress thresholds of 9 different rocks were identified by ACLM, CRM, and CMM. The results show that the theoretical stress - strain curves obtained from the two damage constitutive models are in good agreement with that of the experimental data, and the differences between the two damage constitutive models mainly come from the evolutionary differences of the damage variables. The results of the stress thresholds identified by the CMM are in good agreement with those identified by the AE methods, i.e., ACLM and CRM. Therefore, the proposed CMM can be used to determine the stress thresholds of rocks.

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