Applications of the discrete element method in mechanical engineering
Applications of the discrete element method in mechanical engineering
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DOI：
10.1007/s11044-007-9066-2
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发表时间：
2007-06
影响因子：
3.4
通讯作者：
F. Fleissner;Timo Gaugele;P. Eberhard
中科院分区：
文献类型：
--
作者：
F. Fleissner;Timo Gaugele;P. Eberhard
与其他工程领域相比，在机械工程中，离散单元法（DEM）还不是一种广为人知的方法。然而，有各种各样的模拟问题，该方法具有明显的优势，由于其无网格的性质。对于几个自由体在大变形后可能碰撞和断裂的问题，DEM是首选的方法。邻域搜索和物体之间的碰撞检测以及将大的固体分离成较小的颗粒自然地结合在该方法中。主要的DEM算法由一个相对简单的循环组成，该循环基本上包含接触检测、力计算和积分三个子步骤。然而，对于给定的问题，存在大量不同的算法来选择子步骤以组成最优方法。在这方面的贡献，我们描述了粒子系统的动力学与适当的数值积分方案，并给出了一个概述不同类型的粒子相互作用，可以组成，以适应的方法，以适应给定的模拟问题。曲面三角剖分用于对与粒子系统接触的复杂非凸体进行建模。最后通过应用实例证明了该方法的能力。
Compared to other fields of engineering, in mechanical engineering, the Discrete Element Method (DEM) is not yet a well known method. Nevertheless, there is a variety of simulation problems where the method has obvious advantages due to its meshless nature. For problems where several free bodies can collide and break after having been largely deformed, the DEM is the method of choice. Neighborhood search and collision detection between bodies as well as the separation of large solids into smaller particles are naturally incorporated in the method. The main DEM algorithm consists of a relatively simple loop that basically contains the three substeps contact detection, force computation and integration. However, there exists a large variety of different algorithms to choose the substeps to compose the optimal method for a given problem. In this contribution, we describe the dynamics of particle systems together with appropriate numerical integration schemes and give an overview over different types of particle interactions that can be composed to adapt the method to fit to a given simulation problem. Surface triangulations are used to model complicated, non-convex bodies in contact with particle systems. The capabilities of the method are finally demonstrated by means of application examples.