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。
A novel method for constructing kinematically admissible velocity fields in the upper bound limit analysis is introduced.It is based on rotational block set,which is formed by a number of triangular wedges,and the construction of admissible velocity fields can be simplified to a combination of several rotational block sets.An application to the upper bound analysis of deep strip anchor in undrained clay is given to illustrate the utility and effectiveness of the proposed method,and include detailed comparisons with the results obtained by means of other approaches.It is shown that the value of pull-out capacity factor(11.42) for deep strip anchor is independent of the incline angle of anchor.