Application of SPH in stress wave simulation

Sun Xiaowang; Zhang Jie; Wang Xiaojun; Li Yongchi; Zhao Kai

doi:10.11883/1001-1455(2017)01-0010-05

Volume 37 Issue 1

Jan. 2017

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SONG Li, HU Shi-sheng. Two-wave and three-wave method in SHPB data processing[J]. Explosion And Shock Waves, 2005, 25(4): 368-373. doi: 10.11883/1001-1455(2005)04-0368-06

Citation:

Sun Xiaowang, Zhang Jie, Wang Xiaojun, Li Yongchi, Zhao Kai. Application of SPH in stress wave simulation[J]. Explosion And Shock Waves, 2017, 37(1): 21-26. doi: 10.11883/1001-1455(2017)01-0010-05

SONG Li, HU Shi-sheng. Two-wave and three-wave method in SHPB data processing[J]. Explosion And Shock Waves, 2005, 25(4): 368-373. doi: 10.11883/1001-1455(2005)04-0368-06

Citation:

Sun Xiaowang, Zhang Jie, Wang Xiaojun, Li Yongchi, Zhao Kai. Application of SPH in stress wave simulation[J]. Explosion And Shock Waves, 2017, 37(1): 21-26. doi: 10.11883/1001-1455(2017)01-0010-05

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Application of SPH in stress wave simulation

doi: 10.11883/1001-1455(2017)01-0010-05

1.
Department of Modern Mechanics, University of Science and Technology of China, Hefei 230026, Anhui, China
2.
State Key Laboratory of Explosion Science and Technology, Beijing Institute of Technology, Beijing 100081, China

Received Date: 2015-06-16
Rev Recd Date: 2015-08-24
Publish Date: 2017-01-25

Abstract

Abstract

Obtaining accurate waveforms is significant in impact mechanics numerical calculation. This paper is to analyze how the kernel functions and smooth length affect the result of stress wave simulation. The SPH (smoothed particle hydrodynamics) formulations with different kernel functions and smooth lengths of one dimensional wave equation was compared with the finite difference formulation, which was derived in this paper. One dimensional stress and strain waves were simulated using the SPH method with different kernel functions and smooth lengths, and waveforms were gained accurately by B-spline and Gaussian kernels when the smooth length was equal to or greater than the particle interval. The wave velocity obtained by the quadratic kernel is below the theoretical value, no matter what the smooth length is. A parameter was deduced in this paper as roughly equal to the dimensionless wave velocity. Several conclusions were drawn. Firstly, the smooth length is equal to or greater than the particle interval, which is the necessary prerequisite for accurate stress wave simulation with SPH. Then, the quadratic kernel is not suitable in impact mechanics numerical calculation. Finally, the parameter deduced in this paper is a significant index to evaluate the stress wave simulation result of SPH.
- mechanics of explosion,
- kernel function,
- smooth length,
- SPH method,
- stress wave

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References(7)

References

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