Statistical damage constitutive model of high temperature rock based on Weibull distribution and its verification

JIANG Hao-peng; JIANG An-nan; YANG Xiu-rong

doi:10.16285/j.rsm.2020.1461

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Statistical damage constitutive model of high temperature rock based on Weibull distribution and its verification

更新时间：2026-06-25

- Statistical damage constitutive model of high temperature rock based on Weibull distribution and its verification
- Vol. 42, Issue 7, Pages: 1894-1902(2021)
- 作者机构：
  
  大连海事大学道路与桥梁工程研究所,辽宁,大连,116026
- 作者简介：
- 基金信息：
- DOI：10.16285/j.rsm.2020.1461
  CLC： TU45
- Online First：16 July 2021，
  
  Published：2021
- 稿件说明：
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JIANG Hao-peng, JIANG An-nan, YANG Xiu-rong. Statistical damage constitutive model of high temperature rock based on Weibull distribution and its verification[J]. 2021, 42(7): 1894-1902.
DOI：

JIANG Hao-peng, JIANG An-nan, YANG Xiu-rong. Statistical damage constitutive model of high temperature rock based on Weibull distribution and its verification[J]. 2021, 42(7): 1894-1902. DOI： 10.16285/j.rsm.2020.1461.

摘要

处在高温环境下的岩石力学性质可能发生劣化进而导致岩体稳定性降低，因此研究高温作用下岩石的本构行为具有重要意义。基于现有岩石统计损伤本构模型研究，引入Weibull分布函数和热损伤变量，在微元体强度服从Mohr-Coulomb（简称M-C）准则的条件下，建立了高温作用岩石统计损伤本构模型，并确定了参数表达式。验证阶段首先与文献中的理论曲线进行对比分析，验证了模型的合理性，最后采用不同温度条件下（25、80、100、150 ℃）砂岩三轴压缩试验结果对模型进行了验证。结果表明：建立的高温岩石统计损伤本构模型理论曲线与文献中的理论曲线具有相同的趋势，体现了本构模型的合理性和准确性。同时模型理论曲线与砂岩三轴试验曲线具有较高的吻合度，说明本构模型能够反映出砂岩的破裂应力?应变过程，能够体现出模型的适用性，且本模型不包含非常规力学参数，物理意义明确。研究成果可为高温热处理岩石力学的相关计算与数值模拟提供理论支撑。

Abstract

The decrease of rock stability is caused by the possible deterioration of rock mechanical properties under high temperature environment. Therefore

the study of the constitutive behavior of rocks under high temperature is of great significance. Based on the recent researches of statistical rock damage constitutive model

the statistical damage constitutive model of rock after high temperature is established by adopting M-C criterion with the thermal damage variable and Weibull distribution function and the parameter expression is determined. The model is compared with the theoretical curve to verify its rationality. Finally

the model is verified by the uniaxial compression test results of sandstone under different temperature conditions (e.g.

25℃

80℃

100℃

150℃). The results show that the theoretical curve of statistical damage constitutive model of the high-temperature rock established in this paper has the same trend as the theoretical curve in the literature

proving that the established constitutive model is reasonable. The theoretical curve of the model is in good agreement with the curve obtained in the experiments

implying that it can represent the stress-strain characteristics of sandstone failure under the condition of uniaxial test. This model does not contain unconventional mechanical parameters

and the physical meaning is clear. The research results can provide theoretical support for related calculations and numerical simulations of rock mechanics after high-temperature treatment.

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