Abstract
Based on Lemaitre’s strain equivalence hypothesis theory, it is assumed that the strength of acid-etching rock microelements under the coupling effect of temperature and confining pressure follows the Weibull distribution. Under the hypothesis that micro-element damage meets the D-P criterion and based on continuum damage mechanics and statistical theory, chemical damage variables, thermal damage variables and mechanical damage variables were introduced in the construction of damage evolution equations and constitutive models for acid-etching rocks considering the coupled effects of temperature and confining pressure. The required model parameters were obtained by theoretical derivation, and the model was verified based on the triaxial compression test data of granite. Comparing the experimental stress-strain curve with the theoretical stress-strain curve, the results show that they were in good agreement. By selecting reasonable model parameters, the damage statistical constitutive model can accurately reflect the stress-strain curve characteristics of rock in the process of triaxial compression. The comparison between the experimental and theoretical results also verifies the reasonableness and reliability of the model. This model provides a new rock damage statistical constitutive equation for the study of rock mechanics and its application in engineering, and has certain reference significance for rock underground engineering.
Highlights
With the continuous development of the global economy, the consumption of fossil fuels such as coal, oil and natural gas is increasing, and the emission of pollutants into the atmosphere is rising sharply, leading to deteriorating environmental pollution
It is of great theoretical significance to establish the damage constitutive model of rock under the coupling action of high temperature, chemistry and confining pressure
Under the same confining pressure, the peak strain at the peak point of the theoretical curve of the rock damage constitutive model established in this paper does not change much with temperature, which is consistent with the actual situation
Summary
With the continuous development of the global economy, the consumption of fossil fuels such as coal, oil and natural gas is increasing, and the emission of pollutants into the atmosphere is rising sharply, leading to deteriorating environmental pollution. It is of great theoretical significance to establish the damage constitutive model of rock under the coupling action of high temperature, chemistry and confining pressure. With the development of statistical damage mechanics theory, the damage variable of the rock can be defined by the assumption that the micro-element strength follows the statistical distribution [26,27] Based on these principles and methods, a series of damage statistical constitutive models of rock under the coupled effect of temperature and external load has been established. There are few studies on the damage mechanical properties of rock by establishing TMC coupled damage constitutive model, and most of them do not consider the effect of confining pressure. 2. Establishment of Damage Constitutive Model of Rock under the Coupling Action of Acid Etching-Temperature-Confining Pressure
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