Comprehensive Evaluation of Strength Criteria for Granite, Marble, and Sandstone Based on Polyaxial Experimental Tests
Comprehensive Evaluation of Strength Criteria for Granite, Marble, and Sandstone Based on Polyaxial Experimental Tests
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基于多轴试验试验的花岗岩、大理石、砂岩强度标准综合评价
DOI：
10.1061/(asce)gm.1943-5622.0001544
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发表时间：
2020-02
影响因子：
3.7
通讯作者：
Shaofeng Wang
中科院分区：
文献类型：
--
作者：
Fan Feng;Xibing Li;Kun Du;Diyuan Li;Jamal Rostami;Shaofeng Wang
三种岩石-花岗岩，大理石和砂岩，分别代表非常强的岩石，中等强度的岩石，和弱岩石的立方体试样进行了多轴应力下的测试。其目的是确定这些岩石的最佳强度标准，通过使用多轴试验数据。试验结果表明，所有岩石的破坏强度都与σ2和σ3有很大关系。七个著名的岩石强度标准被用来检查真三轴数据在实际应用中的可预测性，最佳拟合函数（实验数据）和理论（预测）解决方案之间的比较，偏平面上的应力轨迹，以及子午面和τ oct − σoct空间上的应力轨迹。对这些准则的详细分析和比较表明，Mogi-Coulomb准则、修正的Wiebols-Cook准则和修正的Lade准则在大多数情况下对三种岩石的多轴强度提供了更好的预测，这归因于所选岩石对σ2的高度依赖性和敏感性。Mogi 1971和1967标准不能与强度参数（内聚力和摩擦角）相关，并且在没有复杂的多轴压缩试验的情况下，不能预测现场岩体的真实的强度值。此外，偏平面上的应力轨迹说明了它们在理论解释和数值实现上的不足。Mohr-Coulomb准则和Drucker-Prager（DP）准则在描述多轴应力下岩石强度方面的劣性通过理论（预测）强度值与实验强度值之间的较大偏差得到验证。在子午面和τoct − σoct空间中，Mohr-Coulomb准则和DP准则的应力轨迹与实验数据之间的不一致性验证了上述观点。
Cubic specimens of three rocks—granite, marble, and sandstone, representing very strong rock, moderately strong rock, and weak rock, respectively—were tested under polyaxial stress. The objective was to determine the optimal strength criteria for these rocks by using the polyaxial test data. Experimental results indicated that the failure strength considerably depended on σ2 and σ3 for all the rocks. Seven well-known rock-strength criteria were employed to examine the true-triaxial data with regard to the predictability in practical applications, comparison between the best-fitting functions (experimental data) and theoretical (predicted) solutions, stress trajectories on the deviatoric plane, and stress trajectories on the meridian plane and τ oct − σoct space. A detailed analysis and comparison of these criteria showed that the Mogi–Coulomb criterion, modified Wiebols–Cook criterion, and modified Lade criterion provided a better prediction of the polyaxial strength for the three rocks in most cases, which is attributed to the high σ2 dependence and sensitivity of the selected rocks. The Mogi 1971 and 1967 criteria could not be correlated to the strength parameters (cohesion and frictional angle) and failed to predict the real strength values of an in situ rock mass without complex polyaxial compression tests. Furthermore, the stress trajectories on the deviatoric plane illustrated their disadvantages in theoretical interpretation and numerical implementation. The inferiority of the Mohr–Coulomb criterion and Drucker–Prager (DP) criterion in describing the rock strength under polyaxial stress was verified by the higher deviation between the theoretical (predicted) strength values and experimental strength values. The nonconformity between the stress trajectories and experimental data for the Mohr–Coulomb criterion and DP criterion on the meridian plane and in the τoct − σoct space validates the preceding viewpoint.
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