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A Parabolic Failure Criterion for Transversely Isotropic Rock: Modification and Verification

机译：横向各向同性岩石的抛物线故障标准：修改和验证

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摘要

It is of great significance to develop a failure criterion that can describe the orientation-dependent behavior of transversely isotropic rocks. This paper presents a simplified parabolic model that is successful in predicting the strengths of rocks under different confining pressures and bedding angles. The model is a modified version of the normal parabolic criterion for intact rocks. The two orientation-dependent parameters (sigma c and k) in the model show trigonometric relationships with the bedding angle, and they can be readily determined through uniaxial and triaxial compression tests. The shape of the failure envelope is determined by k, and sigma c only affects the level of rock strength. With application to 446 experimental data, the predicting results by the parabolic criterion are highly consistent with the experimental data, and the predictive capacity of the proposed criterion is better than those of the McLamore-Gray and Tien-Kuo criteria. Besides, the prediction errors for the high confining pressure condition and the bedding-sliding failure mode are smaller than those for the low confining pressure and the non-bedding-sliding failure. Moreover, the prediction error almost remains steady with the decrease of data set, indicating that the proposed criterion is of high precision even if the experimental data are limited.
机译：开发一个可以描述横向各向同性岩石的取向依赖性行为的故障标准具有重要意义。本文提出了一种简化的抛物面模型，该模型成功地预测不同狭窄压力和床上用品角度下的岩石的优势。该模型是完整岩石正常抛物线标准的修改版本。模型中的两个取向依赖性参数（Sigma C和K）显示了与床上用品角度的三角关系，并且可以通过单轴和三轴压缩测试容易地确定。故障包络的形状由k确定，并且Sigma C仅影响岩石强度的水平。通过应用到446实验数据，抛物线标准的预测结果与实验数据高度一致，所提出的标准的预测能力优于Mclamore-Grey和Tien-Kuo标准的预测能力。此外，高狭窄压力条件和床上用品滑动失效模式的预测误差小于低限制压力和非床上用品滑动失败的预测误差。此外，随着数据集的减少，预测误差几乎保持稳定，表明所提出的标准是高精度的，即使实验数据有限。

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  • 来源
    《Mathematical Problems in Engineering》 |2019年第5期|8052560.1-8052560.12|共12页
  • 作者

    Wang Ding-Jian; Tang Huiming; Shen Peiwu; Cai Yi;

  • 作者单位

    China Univ Geosci Fac Engn Dept Engn Geol & Geotech Engn Wuhan 430074 Hubei Peoples R China|Penn State Univ Dept Energy & Mineral Engn EMS Energy Inst University Pk PA 16802 USA|Penn State Univ G3 Ctr University Pk PA 16802 USA;

    China Univ Geosci Fac Engn Dept Engn Geol & Geotech Engn Wuhan 430074 Hubei Peoples R China;

    China Univ Geosci Fac Engn Dept Engn Geol & Geotech Engn Wuhan 430074 Hubei Peoples R China;

    Anhui Jianzhu Univ Coll Civil Engn Hefei 230601 Anhui Peoples R China;

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