Axisymmetric SPH simulation of elasto-plastic contact in the low velocity impact
Axisymmetric SPH simulation of elasto-plastic contact in the low velocity impact
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DOI：
10.1016/j.cpc.2006.06.015
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发表时间：
2006-11
期刊：
影响因子：
--
通讯作者：
Songwon Seo;O. Min
中科院分区：
文献类型：
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作者：
Songwon Seo;O. Min
本文提出了一种新的接触算法来分析弹塑性接触问题的光滑粒子流体动力学（SPH）方法。该算法适用于两种接触类型，即粒子到粒子接触和曲面到粒子接触。它用于确定实际的边界法向量，并在柱坐标系中应用再生条件。推导了基于虚功原理的变分方程，并采用罚函数法求解了该方程，该方程中同时包含了贯入度和贯入率。数值模拟结果表明，该算法适用于两个物体都可变形或一个为刚性壁另一个为可变形的弹塑性接触问题。两个碰撞体可以在期望的回弹速度和作用在它们之间的总接触力与理论值相近的情况下分离。杆碰撞分析的结果表明，与其他解决方案和实验得到的一致。
This paper presents a new contact algorithm to analyze an elasto-plastic contact problem using the SPH (Smoothed Particle Hydrodynamics) method. This algorithm is available to both contact types, which are the particle-to-particle contact and the surface-to-particle one. It is employed to determine the actual boundary normal vector and apply the reproducing condition in the cylindrical coordinate. The variational equation based on the virtual work principle is derived and its solution is obtained by the penalty method, which includes both a penetration and a penetration rate. Numerical simulations are presented to show that the proposed algorithm can be applied to the elasto-plastic contact problem for the case that either both bodies are deformable or one is a rigid wall and the other is deformable. Two colliding bodies can be separated with the expected rebound velocity and the total contact force acting on between them similar to theoretical value. Results of the rod impact analysis are shown to be in agreement with the ones obtained by other solution and experiment.