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Axisymmetric SPH simulation of elasto-plastic contact in the low velocity impact

机译:低速冲击下弹塑性接触的轴对称SPH模拟

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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. (C) 2006 Elsevier B.V. All rights reserved.
机译:本文提出了一种新的接触算法,可以使用SPH(平滑粒子流体动力学)方法来分析弹塑性接触问题。该算法可用于两种接触类型,即粒子间接触和表面间接触。它用于确定实际的边界法线向量,并将再现条件应用于圆柱坐标。推导了基于虚功原理的变分方程,并通过罚分法获得了包括穿透率和穿透率的解。数值模拟表明,该算法可以应用于弹塑性接触问题,即两个物体都是可变形的,或者一个是刚性壁,另一个是可变形的情况。可以将两个碰撞体分开,其预期的回弹速度和作用在它们之间的总接触力类似于理论值。杆冲击分析的结果与通过其他解决方案和实验获得的结果一致。 (C)2006 Elsevier B.V.保留所有权利。

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