Acta Mechanica Solida Sinica

, Volume 23, Issue 1, pp 49–56 | Cite as

Study of numerical and physical fracture with SPH method

Article

Abstract

Two kinds of fractures can be observed in the SPH (smoothed particle hydrodynamics) simulations, which are the physical fracture and the numerical fracture. The physical one exists in reality, while the numerical one is fictitious. This paper presents the effects of both fractures and proposes a simple adding particle technique to avoid the numerical fracture. The real physical fracture is then figured out by using an applicable fracture criterion. Firstly, the effect of the numerical fracture on the computational accuracy is investigated by introducing the artificial fracture in a model of wave propagation. Secondly, a simple adding particle technique is proposed and validated by a three dimensional bending test. Finally, the experiments of penetration on the skin of aircrafts are simulated by both the initial SPH method and the improved method with the adding particle technique. The results show that the improved SPH method can describe the physical fracture very well with better accuracy.

Key words

SPH method physical fracture numerical fracture adding particle technique 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. [1]
    Randles, P.W. and Liberskyb, L.D., Smoothed particle hydrodynamics: some recent improvements and applications. Computer Methods in Applied Mechanics and Engineering, 1996, 139: 375–408.MathSciNetCrossRefGoogle Scholar
  2. [2]
    Dyka, C.T. and, Ingel, R.P., An approach for the tension instability in smoothed particle hydrodynamics. Computer and Structures, 1995, 57: 573–580.CrossRefGoogle Scholar
  3. [3]
    Belytschko, T., Krongauz, Y., Dolbow, J. and Gerlach, C., On the completeness of meshfree particle methods. International Journal for Numerical methods in Engineering, 1998, 43: 785–819.MathSciNetCrossRefGoogle Scholar
  4. [4]
    Chen, J.K., Beraun, J.E. and Jih, C.J., Completeness of corrective smoothed particle method for linear ealstodynamics. Computational Mechanics, 1999, 24: 273–285.CrossRefGoogle Scholar
  5. [5]
    Xu, F., Zheng, M.J. and Kikuchi, M., Constant consistency kernel function and its formulation. Chinese Journal of Computational Mechanics, 2008, 25: s48–53.MATHGoogle Scholar
  6. [6]
    Oger, G., Doring, M. and Alessandrini, B. et al., An improved SPH method: Towards higher order convergence. Journal of Computational Physics, 2007, 225: 1472–1492.MathSciNetCrossRefGoogle Scholar
  7. [7]
    Vidal, Y., Bonet, J. and Huerta, A., Stabilized updated Lagrange corrected SPH for explicit dynamic problems. International Journal for Numerical methods in Engineering, 2007, 69: 2687–2710.MathSciNetCrossRefGoogle Scholar
  8. [8]
    Rabczuk, T., Belytschko, T. and Xiao, S.P., Stable particle methods based on Lagrange kernels. Computer Methods in Applied Mechanics and Engineering, 2004, 193: 1035–1063.MathSciNetCrossRefGoogle Scholar
  9. [9]
    López, H. and Sigalotti, L. Di G., Adaptive kernel estimation and SPH tensile instability. Computers and Mathematics with Applications, 2008, 55: 23–50.MathSciNetCrossRefGoogle Scholar
  10. [10]
    Lastiwka, M., Quinlan, N. and Basa, M., Adaptive particle distribution for smoothed particle hydrodynamics. International Journal for Numerical Methods in Fluids, 2005, 47: 1403–1409.MathSciNetCrossRefGoogle Scholar
  11. [11]
    Shintate, K. and Sekine, H., Numerical simulation of hypervelocity impacts of a projectile on laminated composite plate targets by means of improved SPH method. Composites: Part A, 2004, 35: 683–692.CrossRefGoogle Scholar
  12. [12]
    Xu, F., Chen, J.S. and Huang, Q.Q., The study of numerical stability in the SPH method. Advanced Material Research. 2008, 33–37: 839–844.CrossRefGoogle Scholar
  13. [13]
    Liu, G.R. and Liu, M.B., Smoothed Particle Hydrodynamics — Meshfree Particle Method. World Scientific Publishing Co. Pte. Ltd., 2003.Google Scholar
  14. [14]
    Katayama, M., Toda, S. and Kibe, S., Numerical simulation of space debris impacts on the Whipple shield. Acta Astronautica, 1997, 40(12): 859–869.CrossRefGoogle Scholar
  15. [15]
    Zhan, Q.W., Guo, W.G. and Li, Y.L. et al., Study on damage of a reinforced aircraft skin subjected to 12.7 mm projectile impact. Explosion and Shock Waves, 2006, 26(3): 229–233 (in Chinese).Google Scholar

Copyright information

© The Chinese Society of Theoretical and Applied Mechanics and Technology 2010

Authors and Affiliations

  1. 1.Department of Aeronautical Structure Engineering, School of AeronauticsNorthwestern Polytechnical UniversityXi’anChina
  2. 2.Department of Mechanical EngineeringTokyo University of ScienceNoda, ChibaJapan

Personalised recommendations