Contact laws between solid particles
Contact laws between solid particles
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DOI：
10.1016/j.jmps.2009.04.012
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发表时间：
2009-08
影响因子：
5.3
通讯作者：
Fan Li;Jingzhe Pan;C. Sinka
中科院分区：
文献类型：
--
作者：
Fan Li;Jingzhe Pan;C. Sinka
本文综合考虑塑性、应变硬化和大变形的影响，对固体颗粒间的接触规律进行了研究。这项研究利用了所谓的材料点法（MPM）的发展，既不需要重新网格化的大变形问题，也不迭代计划，以满足接触边界条件。数值结果表明，接触规律对冲击速度和材料性能敏感。目前在离散元模拟中使用的接触定律往往忽略了这些因素，因此过于简单。研究表明，对于理想弹塑性材料组成的球形颗粒，只要知道相对撞击速度和有效弹性模量与屈服应力之比，就可以完全确定其接触规律。对于应变硬化颗粒，研究表明，它是很难制定一个解析的接触定律。当处理不规则形状的颗粒或由异质材料制成的颗粒时，也存在同样的困难。这个问题可以通过使用数值接触定律来克服，该接触定律可以很容易地使用材料点法获得。
This paper presents a comprehensive study for the contact laws between solid particles taking into account the effects of plasticity, strain hardening and very large deformation. The study takes advantage of the development of a so-called material point method (MPM) which requires neither remeshing for large deformation problems, nor iterative schemes to satisfy the contact boundary conditions. The numerical results show that the contact law is sensitive to impact velocity and material properties. The contact laws currently used in the discrete element simulations often ignore these factors and are therefore over-simplistic. For spherical particles made of elastic perfectly plastic material, the study shows that the contact law can be fully determined by knowing the relative impact velocity and the ratio between the effective elastic modulus and yield stress. For particles with strain hardening, the study shows that it is difficult to develop an analytical contact law. The same difficulty exists when dealing with particles of irregular shapes or made of heterogeneous materials. The problem can be overcome by using numerical contact laws which can be easily obtained using the material point method.