Contact models for the multi-sphere discrete element method
Contact models for the multi-sphere discrete element method
复制标题
多球离散元法的接触模型
DOI：
10.1016/j.powtec.2022.118209
复制
发表时间：
2023
影响因子：
5.2
通讯作者：
Berry N
中科院分区：
文献类型：
--
作者：
Berry N
使用多球离散元法（MS-DEM），即欠阻尼的发生，两种形式的过阻尼误差，过刚度的影响，和力响应不一致，由于错误的接触面积计算的二进制相互作用的颗粒的临界误差的五个来源被确定。力学问题被认为是过刚度效应的来源，过阻尼的一种形式和错误的接触面积计算。剩余的过阻尼和欠阻尼误差本质上是物理的。通过定义不同类型的MS-DEM的相互作用，提出了解决方案，可以成功地减轻所有的识别错误。这包括开发局部减少质量的概念，以衰减基于物理的过阻尼形式，纯粹的算法考虑纠正其他形式的过阻尼以及过刚度效应和错误的接触面积计算。本研究着重于两种类型的线性弹簧阻尼器模型和两种非线性赫兹模型，然而，它被证明的误差的性质和它们各自的解决方案通常是独立的接触模型。因此，当使用MS-DEM时，应考虑所提出的解决方案与其他接触模型一起实施，并且很有可能适用于其他接触检测方法。
Five sources of critical error are identified for binary interactions of particles using the Multi-Sphere Discrete Element Method (MS-DEM) i.e. the occurrence of under-damping, two forms of over-damping error, over-stiffness effects, and force response inconsistencies due to erroneous contact area calculations. Algorithmic issues are found to be the source of over-stiffness effects, one form of over-damping and the erroneous contact area calculations. The remaining over-damping and under-damping errors are physical in nature. By defining different types of MS-DEM interactions, solutions are proposed which can successfully mitigate all of the identified errors. This includes the development of the concept of a locally reduced mass to attenuate the physics-based form of over-damping, and purely algorithmic considerations rectify the other form of over-damping as well as the over-stiffness effects and erroneous contact area calculations. This study focuses on two types of linear spring dash-pot models and two non-linear Hertzian models, however, it is demonstrated the nature of the errors and their respective solutions are generally independent of the contact model. As such, the solutions proposed should be considered for implementation with other contact models when using the MS-DEM, with a high likelihood of being applicable to other contact detection methods.