Preliminary results unifying discontinuous deformation analysis (DDA) and the distinct element method (DEM)

2021 ◽  
pp. 119-125
Author(s):  
D.M. Doolin
Keyword(s):  
Distinct Element ◽  
Distinct Element Method ◽  
Discontinuous Deformation Analysis ◽  
Deformation Analysis ◽  
Preliminary Results ◽  
Discontinuous Deformation ◽  
Element Method

THE NUMERICAL MANIFOLD METHOD: A REVIEW

2010 ◽  
Vol 07 (01) ◽  
pp. 1-32 ◽  
Author(s):  
GUOWEI MA ◽  
XINMEI AN ◽  
LEI HE
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Distinct Element ◽  
Discontinuous Deformation Analysis ◽  
Deformation Analysis ◽  
Integration Scheme ◽  
Numerical Manifold Method ◽  
Strong Discontinuities ◽  
Numerical Manifold ◽  
Element Method

This paper presents a review on the numerical manifold method (NMM), which covers the basic theories of the NMM, such as NMM components, NMM displacement approximation, formulations of the discrete system of equations, integration scheme, imposition of the boundary conditions, treatment of contact problems involved in the NMM, and also the recent developments and applications of the NMM. Modeling the strong discontinuities within the framework of the NMM is specially emphasized. Several examples demonstrating the capability of the NMM in modeling discrete block system, strong discontinuities, as well as weak discontinuities are given. The similarities and distinctions of the NMM with various other numerical methods such as the finite element method (FEM), the extended finite element method (XFEM), the generalized finite element method (GFEM), the discontinuous deformation analysis (DDA), and the distinct element method (DEM) are investigated. Further developments on the NMM are suggested.

Enhanced Discrete Element Method (EDEM) and its Application to Stability Analysis of the Slope with Non-Through Joints

2014 ◽  
Vol 644-650 ◽  
pp. 1539-1542 ◽  
Author(s):  
Yong Zheng Ma ◽  
Ke Jian Cai ◽  
Zhan Tao Li ◽  
Jun Li
Keyword(s):  
Discrete Element Method ◽  
Discrete Element ◽  
Discontinuous Deformation Analysis ◽  
Iteration Step ◽  
Deformation Analysis ◽  
Analysis Method ◽  
Meshfree Approximation ◽  
Discontinuous Deformation ◽  
Cracked Solids ◽  
Element Method

A new enhanced Discrete Element Method (EDEM) for modeling the system composed of cracked solids is developed by coupling the traditional Discontinuous Deformation Analysis method (DDA, a kind of implicit version of DEM) with Moving Least-Squares (MLS) meshfree approximation functions. Tracing crack growth inside fracturing blocks and other related capabilities are available in the postprocessing procedure at each iteration step. Some numerical examples are provided to verify this method, and it is prospective to solve stability problems of the slope with non-through joints and other fracture mechanics problems in a new way.

On Using Discrete Particle Approaches for Simulating the Perforation Process of Concrete Slab by Hard Projectile

2007 ◽  
Vol 353-358 ◽  
pp. 2973-2976 ◽  
Author(s):  
Yu Yong Jiao ◽  
Xiu Li Zhang ◽  
Shui Lin Wang ◽  
Huo Zhen Wu
Keyword(s):  
Discrete Element Method ◽  
Numerical Investigation ◽  
Concrete Slab ◽  
Discrete Element ◽  
Discontinuous Deformation Analysis ◽  
Deformation Analysis ◽  
Discrete Particle ◽  
Discontinuous Deformation ◽  
Element Method

This study is to present a numerical investigation on fragmentation and perforation of concrete slab by hard projectile using discrete particle approaches. Discrete Element Method (DEM) and Discontinuous Deformation Analysis (DDA), the two representative discrete particle approaches, are employed to simulate a normal perforation of concrete slab by a hard ogival-nose shaped projectile, and the phenomena of spalling, plugging and scabbing are reproduced.

scholarly journals Vertex Displacement-Based Discontinuous Deformation Analysis Using Virtual Element Method

Materials ◽  
2021 ◽  
Vol 14 (5) ◽  
pp. 1252
Author(s):  
Hongming Luo ◽  
Guanhua Sun ◽  
Lipeng Liu ◽  
Wei Jiang
Keyword(s):  
Degrees Of Freedom ◽  
Discontinuous Deformation Analysis ◽  
Deformation Analysis ◽  
Virtual Element Method ◽  
Time Step ◽  
Element Space ◽  
Displacement Mode ◽  
Discontinuous Deformation ◽  
Virtual Element ◽  
Element Method

To avoid disadvantages caused by rotational degrees of freedom in the original Discontinuous Deformation Analysis (DDA), a new block displacement mode is defined within a time step, where displacements of all the block vertices are taken as the degrees of freedom. An individual virtual element space V1(Ω) is defined for a block to illustrate displacement of the block using the Virtual Element Method (VEM). Based on VEM theory, the total potential energy of the block system in DDA is formulated and minimized to obtain the global equilibrium equations. At the end of a time step, the vertex coordinates are updated by adding their incremental displacement to their previous coordinates. In the new method, no explicit expression for the displacement u is required, and all numerical integrations can be easily computed. Four numerical examples originally designed by Shi are analyzed, verifying the effectiveness and precision of the proposed method.

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