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提出一种基于旋转块体集的极限分析上限方法,该方法以由多个三角形楔块所组成的旋转块体集为基本单元,通过旋转块体集的组合来构造所求问题的运动许可速度场。首先推导了旋转块体集的内能耗散和重力做功,然后运用旋转块体集对不排水黏土中深埋条形锚板的抗拔承载力进行了分析,计算结果表明:深埋条形锚板的抗拔承载力系数上限解与锚板在土体中的埋置方位无关,均为11.42。本文上限解比极限分析有限元所得上限解更为精确,而且求解所得破坏面较极限分析有限元更为清晰直观,从而验证了本文方法的优越性。
This paper proposes a limit analysis upper bound method based on a rotating block set. The method takes a rotating block set consisting of a plurality of triangular wedges as a basic unit and constructs a motion permitted speed of the requested problem by a combination of rotating block sets field. Firstly, the internal energy dissipation and gravity work of the rotating blockset are deduced. Then the rotating blockset is used to analyze the pull-out bearing capacity of the deep-buried anchor plate in undrained clay. The calculation results show that: The upper limit solution of the coefficient of uplift bearing capacity of anchor plate has nothing to do with the buried bearing position of anchor plate in the soil, both are 11.42. In this paper, the upper limit solution of the upper limit solution than the limit analysis finite element is more accurate, and the solution of the failure surface is more clear and intuitive than the limit analysis finite element method, which proves the superiority of this method.