A new three‐dimensional (3D) Hoek–Brown (HB) failure criterion based on an elliptical Lode dependence is proposed to describe failure of rocks and concrete under multiaxial stress states. This criterion not only inherits all benefits of the classical HB criterion that is developed for the triaxial compression (TXC) of rocks but also accounts for the effect of the intermediate principal stress. It is capable of representing the strength difference between the triaxial extension (TXE) and TXC with the introduction of an additional coefficient k (0.5 ≤ k ≤ 1.0), which can be derived from TXE tests or taken as 0.53 for rocks in cases where the TXE test data is unavailable. Other two material constants (m_i and σ_ci) involved in this criterion can be obtained from TXC tests. Additionally, the failure surface of this criterion is smooth and convex on the deviatoric stress plane when 0.5 < k ≤ 1.0. The new criterion achieves very good fit to the test data of TXC/TXE, biaxial compression, and polyaxial compression (PXC) on a wide variety of rock materials and concrete, reported in the literature. Comparison of the new criterion with an existing 3D HB criterion based on the same Lode dependence has demonstrated that the new criterion performs better than the latter for test data of rock and concrete under multiaxial stress states except for PXC test data of one rock type. Finally, the influence of values of k on the accuracy of the new criterion is discussed.

中文翻译：

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基于椭圆Lode相关性的三维Hoek-Brown破坏准则

提出了一种基于椭圆Lode依存关系的新的三维（3D）Hoek-Brown（HB）破坏准则，以描述岩石和混凝土在多轴应力状态下的破坏。该准则不仅继承了为岩石的三轴压缩（TXC）开发的经典HB准则的所有优点，而且还考虑了中间主应力的影响。它能够表示三轴拉伸（TXE）和TXC之间与所述引入附加系数的强度差的ķ（0.5≤ ķ ≤1.0），这可以从TXE测试衍生或在箱子取为0.53岩石其中TXE测试数据不可用。其他两个材料常数（中号_我和σ _CI可以从TXC测试中获得此准则中涉及的）。此外，该标准的失败表面是光滑的和凸的偏应力平面时0.5 < ķ≤ 1.0。新标准对文献中报道的各种岩石材料和混凝土的TXC / TXE，双轴压缩和多轴压缩（PXC）的测试数据实现了很好的拟合。新准则与基于相同Lode依赖关系的现有3D HB准则的比较表明，对于一种岩石和混凝土在多轴应力状态下的测试数据，除了一种岩石类型的PXC测试数据外，新准则的性能优于后者。最后，讨论了k值对新准则准确性的影响。