IMECH-IR  > 流固耦合系统力学重点实验室
Alternative TitleStudy of deformable block discrete element method based on SEM
张青波; 李世海; 冯春; 王杰
Source Publication岩土力学
Other AbstractAiming at the continuous-discontinuous failure process of rock and soil materials in slope engineering, a novel deformable block discrete element method which combined spring element method (SEM) and discrete element method (DEM) together is presented. Compared with the accustomed element in traditional finite element method (FEM), the element in SEM is described as a spring system that contained some orthogonal generalized springs. This generalized springs are defined in 3D space, which means that each spring can has two or three spring stiffness. How to determine the generalized spring stiffness for continuous material is the difficult and most important in SEM. With the triangle element as an example, the basic theory of SEM is introduced in detail. Assuming the relationship between the generalized spring deformation and the element strain, the generalized spring stiffness can be obtained directly by comparing the elastic strain energy of the element and the elastic potential energy of the spring system. The Poisson and shear stiffness coefficients were defined as system parameters to describe the relationship between different generalized springs. The SEM can consider the Poisson effect accurately for any Poisson's ratio material; and the result using SEM are the same with using traditional FEM. This method does not need to know the expression of the element-stiffness-matrix. It can be used in 4-node element; and the stiffness expressions of springs are given clearly. With the SEM used to compute the block deformation and the contact-spring used to calculate the interaction between blocks, the combined SEM/DEM program can be used to simulate the failure process of rock and soil material from continuous to discontinuous. The SEM and DEM are combined in the motion equation of each node in each element. The contact-spring in DEM satisfied specific strength criterion. When the contact-spring force exceeded its limit, the material became discontinuous from continuous. The combined SEM/DEM program is implemented easily in the continuum-based discrete element method(CDEM) program. The simulation of a homogeneous soil slope under gravity shows that the SEM is performed as good as FEM when using line elastic constitutive and reasonable when using Mohr-Coulomb strength criterion. The simulation of a bedrock and overburden layer slope shows that the combined program is suitable to simulate the slope failure process.
Keyword弹簧元法 离散元法 弹簧刚度 边坡工程
Subject Area岩体力学和土力学
Indexed ByEI ; CSCD
Funding Organization国家重点基础研究发展计划(973)项目资助(No.2010CB731506);国家自然科学基金资助(No.11002146)
Citation statistics
Cited Times:2[CSCD]   [CSCD Record]
Document Type期刊论文
Corresponding Author李世海
Recommended Citation
GB/T 7714
张青波,李世海,冯春,等. 基于SEM的可变形块体离散元法研究[J]. 岩土力学,2013,34(8):2385-2392.
APA 张青波,李世海,冯春,&王杰.(2013).基于SEM的可变形块体离散元法研究.岩土力学,34(8),2385-2392.
MLA 张青波,et al."基于SEM的可变形块体离散元法研究".岩土力学 34.8(2013):2385-2392.
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