How to handle the inelastic collapse of a dissipative hard-sphere gas with the TC model
How to handle the inelastic collapse of a dissipative hard-sphere gas with the TC model
复制标题
如何使用 TC 模型处理耗散硬球气体的非弹性塌陷
DOI：
10.1007/s100350050017
复制
发表时间：
1998
期刊：
影响因子：
2.4
通讯作者：
S. McNamara
中科院分区：
文献类型：
--
作者：
S. Luding;S. McNamara
摘要颗粒材料的非弹性硬球模型简单，易于理论和模拟，并捕捉了许多颗粒介质的物理。它有三个缺点，都与碰撞是瞬时的近似有关：1）每单位时间的碰撞次数可能会发散，即可能发生“非弹性塌缩”。2)所有的相互作用都是二元的;多粒子接触不会发生; 3）不存在静态极限。我们扩展了非弹性硬球模型定义的接触时间tc，这样的耗散是允许的，只有当接触之间的时间大于tc。我们将此广义模型的TC模型，并讨论它使用的动态和静态系统的例子。这里使用的接触持续时间不改变硬球接触的瞬时性质，但占在“多粒子接触”的耗散减少。动能和弹性能的定义，以及在系统中的力和应力。最后，我们提出了事件驱动的数值模拟的情况远远超出了非弹性崩溃，可能只有与TC模型。
Abstract The inelastic hard sphere model of granular material is simple, easily accessible to theory and simulation, and captures much of the physics of granular media. It has three drawbacks, all related to the approximation that collisions are instantaneous: 1) The number of collisions per unit time can diverge, i.e. the “inelastic collapse” can occur. 2) All interactions are binary; multiparticle contacts cannot occur and 3) no static limit exists. We extend the inelastic hard sphere model by defining a duration of contact tc such that dissipation is allowed only if the time between contacts is larger than tc. We name this generalized model the TC model and discuss it using examples of dynamic and static systems. The contact duration used here does not change the instantaneous nature of the hard sphere contacts, but accounts for a reduced dissipation during “multiparticle contacts”. Kinetic and elastic energies are defined as well as forces and stresses in the system. Finally, we present event-driven numerical simulations of situations far beyond the inelastic collapse, possible only with the TC model.