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Upper bound solution for ultimate bearing capacity with a modified Hoek-Brown failure criterion

机译：修正Hoek-Brown破坏准则的极限承载力上限解决方案

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摘要

Conventional calculations of ultimate bearing capacity are formulated in terms of a linear Mohr-Coulomb (MC) failure criterion. However, experimental data shows that the strength envelops of almost all types of rocks are nonlinear over the wide range of normal stresses. In this paper, the strength envelope of rock masses is considered to follow a modified Hoek-Brown failure criterion that is a nonlinear failure criterion. Two different kinds of techniques are used to develop the ultimate bearing capacity in the framework of limit analysis in plasticity. The first technique is the generalized tangential technique proposed by the authors. Based on a multi-wedge translation failure mechanism, a generalized tangential technique is used to formulate the bearing capacity problem as a classical optimization problem where the objective function, which is to be minimized with respects to the parameters of failure mechanism and the location of tangency point, corresponds to the dissipated power. The minimum solution is obtained by optimization. Using the technique, the effects of rock weight under the base of the footing and surcharge load can be considered. The second technique, "tangential" line technique, was originally used to analyze slope stability with a nonlinear failure criterion. In order to assess the validity of the proposed method, the "tangential" line technique is extended to evaluate the bearing capacity factor with the nonlinear failure criterion, where the effects of self-weight and surcharge load on the bearing capacity cannot considered. The second technique, however, has to utilize the previously calculated ultimate bearing capacity factor with a linear MC failure criterion. Numerical results are compared and presented for practical use in rock engineering.
机译：极限承载力的常规计算是根据线性Mohr-Coulomb（MC）破坏准则制定的。但是，实验数据表明，几乎所有类型的岩石的强度包络线在很大的正应力范围内都是非线性的。在本文中，岩体的强度包络被认为遵循修正的Hoek-Brown破坏准则，该准则是非线性破坏准则。在塑性极限分析的框架内，使用两种不同的技术来开发极限承载力。第一种技术是作者提出的广义切向技术。基于多楔平移失效机制，使用广义切线技术将承载力问题公式化为经典优化问题，其中关于失效机制的参数和相切位置要最小化的目标函数点，对应于耗散功率。最小解决方案是通过优化获得的。使用该技术，可以考虑基础重量和附加载荷对岩石重量的影响。第二种技术，“切线”线技术，最初用于分析具有非线性破坏准则的边坡稳定性。为了评估所提方法的有效性，扩展了“切线”线技术，以非线性失效准则评估承载力因子，而自重和附加载荷对承载力的影响却没有得到考虑。但是，第二种技术必须利用先前计算的极限承载力因子和线性MC失效准则。比较了数值结果，并提供了在岩石工程中的实际应用。

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    Yang XL; Yin JH;

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  • 年度 2005
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  • 正文语种 eng
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