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冯君, 周德培, 杨涛. 用弹塑性板理论分析顺层边坡的弯曲失稳[J]. 岩土工程学报, 2010, 32(8).
引用本文: 冯君, 周德培, 杨涛. 用弹塑性板理论分析顺层边坡的弯曲失稳[J]. 岩土工程学报, 2010, 32(8).
Stability analysis of consequent rock slopes using elastic-plastic plate theory[J]. Chinese Journal of Geotechnical Engineering, 2010, 32(8).
Citation: Stability analysis of consequent rock slopes using elastic-plastic plate theory[J]. Chinese Journal of Geotechnical Engineering, 2010, 32(8).

用弹塑性板理论分析顺层边坡的弯曲失稳

Stability analysis of consequent rock slopes using elastic-plastic plate theory

  • 摘要: 滑移弯曲失稳是顺层岩质边坡中较为常见的一种破坏模式,以往采用弹性压杆稳定理论或弹性板稳定理论来进行分析,弹性压杆理论将岩板视为一维受压杆件,弹性板稳定理论将岩板视为二维受压板,均未考虑岩体塑性对稳定性的影响。对于顺层岩质边坡的弯曲失稳破坏,如果岩层中应力较大,则可能在岩层开始屈曲前,应力已超过弹性极限,因而岩层的屈曲变形一开始就不完全是弹性的,如仍采用弹性屈曲理论进行分析,可能会得到不真实的结果,应根据具体情况将其视为弹塑性屈曲问题。应用弹塑性板的翘曲理论对顺层岩质边坡的弯曲失稳进行了分析,同时考虑了边坡长度以及岩体塑性对其稳定性的影响,推导了相应计算公式,并通过工程实例进行了验证。

     

    Abstract: Flexural failures often occur in construction of consequent rock slopes. The elastic compression bar theory and the elastic plate theory are often used in the stability analysis of consequent rock slopes for flexural failure mode. Rock plates are assumed as one-dimensional compression bar in the elastic compression bar theory and two-dimensional plate in the elastic plate theory. The influences of rock plasticity on the slope stability are not considered in the above two methods. For the flexural failure mode, if stresses in rock strata are large enough to exceed their elastic limits, the rock material will sustain both elastic and plastic strains. In such a case, the application of the elastic theory may lead to unreasonable results. On the basis of the stability theory for elastic-plastic plates, a study on the mechanism of flexural failure of consequent rock slopes is carried out by using the energy method. The influences of slope length and plasticity of rock mass are considered particularly in deducing the computational formula for the stability analysis of consequent rock slopes. The feasibility of the proposed method is verified by some practical engineering cases.

     

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