边坡及挡土墙变形局部化分析

本文将局部和非局部软化损伤线性结合在一起表示非局部软化损伤内变量，给出变形体边界上积分点非局部内变量的复合映射方式。用非局部连续莫尔-库仑模型和次塑性模型(Hypoplasticity)，分别对边坡和挡土墙的变形局部化破坏过程进行了模拟分析。二维、三维有限元计算结果表明，本文采用的软化损伤内变量非局部方式和非局部边界的处理是行之有效的，反映材料微观性态的特征尺度以统计平均的方式表达，在材料本构关系中加以体现，所得计算结果对有限元网格的划分具有不敏感性，因而用非局部连续模型模拟土工建筑物的变形破坏过程具有可行性。

Finite element analysis of deformation localization in slope and retaining wall

The local softening damage is linearly combined with non-local softening damage to express the interior variable of non-local softening damage, and the composite reflection mode of the non-local variable at the integral point of deformation body boundary is established accordingly. On this basis, the Mohr-Coulomb model and hypoplasticity model are applied to analyze the deformation localization in the failure process of slope and retaining wall. The 2-D and 3-D finite element calculation results show that the model with statistical characteristic length in soil can appropriately simulate the constitutive behavior of non-local softening or damage in geomechanical material even in 3-D case. It is concluded that the non-local continuous model can be used to forecast the progressive failure of slope and retaining wall when localization of deformation arose.