边坡稳定的剪切带计算  

Calculation of shear band for slope stability

作　　者：朱以文[1] 徐晗[1] 蔡元奇[1] 朱方敏[1] 

机构地区：[1]武汉大学土木建筑工程学院,武汉430072

出　　处：《计算力学学报》2007年第4期441-446,共6页Chinese Journal of Computational Mechanics

基　　金：湖北省防灾减灾重点实验室开放基金(2005003);国家自然科学基金(59978038)资助项目

摘　　要：为了解决边坡稳定分析中剪切带有限元网格的依赖性问题,采用梯度塑性理论,从本构关系中引入特征长度入手,建立计算模型。提出了一种8节点缩减积分的梯度塑性单元,并采用梯度塑性理论推导了Drucker-Prager屈服准则的软化模型的有限元格式,在ABAQUS中进行了二次开发,嵌入了本文提出的8节点单元和本构模型,并用ABAQUS软件进行了边坡剪切带的计算。计算结果表明,本文提出的方法消除了经典有限元计算的网格依赖性问题,可以得到与单元剖分无关的稳定的剪切带宽度。本文所提出的方法可适用于其他场合的剪切带计算。In order to circumvent the mesh-dependence problem in calculating the shear band for slope stability by finite element methods, the gradient-dependent plasticity theory is adopted. In this paper an eight-node gradient-dependent element with reduced integral is presented to establish the model and at the same time a characteristic length is introduced into the constitutive equation. The finite element format of Drucker-Prager plasticity model with strain softening is deduced , and some numerical examples for shear band in slope stability are done in ABAQUS/Standard through the user subroutine UEL. The result shows that the method presented in this paper can eliminate the mesh-dependence problem in classical finite element methods , and steady shear band width can be achieved regardless of mesh. The method in this paper can be suited for other occasions that need calculation of shear band.

关 键 词：梯度塑性 应变局部化 剪切带 边坡稳定 

分 类 号：TU431[建筑科学—岩土工程]