Fundamental study of back analysis based on equivalent inclusion method

探讨了等效包体法在弹塑性结构分析中的应用。给出了平面框架和连续体的分析公式。在实践中，塑性变形通常是可控的。在这些情况下，所提出的数值计算程序具有优势：它比传统方法需要更少的计算时间。等效包含法也应用于再分析。结果表明，该方法大大节省了计算时间。在岩体反分析中采用等效包体法。这样，非线性问题就可以被当作线性问题来处理，同时未知量也可以减少。在此基础上，尝试了变形（断裂）机理在反分析中的实现，并通过数值算例验证了其有效性。研究了统计数据作为先验信息在逆向分析中的应用。通过数值算例验证了这些信息的重要性。提出了路基反力法模拟桩基分析的数值计算方法。特别是对路基反力系数的评价进行了研究。由于挠度与路基反力之间的关系是非线性的，因此采用迭代法进行有限元分析。数值算例验证了该方法的有效性。

The application of the equivalent inclusion method to the elastic-plastic structural analysis is explored. The formulations for the analysis of plane frames and continua are presented. In practice, plastic deformation is very often contained. The proposed numerical procedure has an advantage in those cases : it requires much less computational time than the conventional method. The equivalent inclusion method is also applied to the reanalysis. The computational time is shown to be saved considerably.The equivalent inclusion method is utilized in the back analysis of rock mass. The nonlinear problem can then be treated as a linear problem, and at the same time the number of unknowns can be reduced. Furthermore, the implementation of deformation (fracture) mechanism in back analysis is tried, and its effectiveness is verified by numerical examples. The usage of statistical data as priori information in back analysis is also studied. The importance of such information is confirmed by solving numerical examples.The numerical procedures for the analysis of piles modeled by the subgrade-reaction method is proposed. In particular, the evaluation of the coefficient of subgrade reaction is aimed at. Since the relationship between deflection and subgrade reaction is nonlinear, the finite element method with an iterative technique is taken. The effectiveness of the proposed approach is verified by numerical examples.