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

机译：横观各向同性岩石的抛物线破坏准则：修改与验证

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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：制定能够描述横观各向同性岩石的取向相关行为的破坏准则具有重要意义。本文提出了一种简化的抛物线模型，该模型可以成功地预测在不同围压和层理角度下岩石的强度。该模型是完整抛物线正常抛物线准则的修改版本。模型中的两个与方向有关的参数（σc和k）显示出与层理角度的三角关系，可以通过单轴和三轴压缩测试轻松确定它们。破坏包络线的形状由k决定，σc仅影响岩石强度。通过对446个实验数据的应用，抛物线准则的预测结果与实验数据高度吻合，所提出准则的预测能力优于McLamore-Gray和Tien-Kuo准则。此外，高围压条件和层理滑动破坏模式的预测误差小于低围压和非层理滑动破坏的预测误差。此外，随着数据集的减少，预测误差几乎保持稳定，这表明即使实验数据有限，所提出的标准也具有较高的精度。

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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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