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模拟弹塑性碰撞的修正SPH方法
Simulation of elastic-plastic impact with modified smoothed particle hydrodynamics method

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龙丽平 1   张建宇 1   丁桦 2   费斌军 1  
文摘 从基本的无网格光滑粒子法SPH(Smoothed Particle Hydrodynamics)近似出发,修正了模拟固体力学中大变形弹塑性碰撞的SPH方法.在边界处采用修正的边界条件,弹塑性分析过程中采用增量理论计算应力,迭代过程中用守恒光滑法进行滤波修正消除拉力不稳定.对SPH方法进行了程序实现,给出了杆弹塑性碰撞的算例.计算分析表明,SPH方法节点的影响域较大、精度较相同节点间距有限元法的结果有一定差距,但是通过增加粒子数量可以提高SPH的精度,保持了其简单性和计算大变形的特性.
其他语种文摘 Based on the approximation of smoothed particle hydrodynamics (SPH) , the formulations of SPH method, which can numerically simulate the elastic-plastic impact process in solid mechanics, was established. Modified boundary functions were used to simulating the boundary condition. Owing to the tensile instability of traditional SPH, the code cannot get the proper result. The conservative smoothing approach was used in the procedure to filter the result and eliminate the tensile instability. The example of elastic-plastic impact of a pole and the comparison of the result calculated by SPH and finite element method (FEM) were given. The numerical example and analysis that indicated the influencing region of traditional SPH particle is lager than FEM, and the precision of SPH method is lower than FEM at the same scale of particles. The precision of SPH method can be improved by increasing the number of particles.
来源 北京航空航天大学学报 ,2007,33(6):658-662 【核心库】
关键词 弹性波 ; 边界条件 ; 光滑粒子法 ; 弹塑性碰撞 ; 守恒光滑法
地址

1. 北京航空航天大学,航空科学与工程学院, 北京, 100083  

2. 中国科学院,力学研究所, 北京, 100080

语种 中文
文献类型 研究性论文
ISSN 1001-5965
学科 力学
基金 国家973计划
文献收藏号 CSCD:2830695

参考文献 共 15 共1页

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引证文献 1

1 龙丽平 无网格SPH法中守恒光滑法的修正 北京航空航天大学学报,2009,35(11):1335-1338
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