Skip to main content
Log in

Study of numerical and physical fracture with SPH method

  • Published:
Acta Mechanica Solida Sinica Aims and scope Submit manuscript

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.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  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.

    Article  MathSciNet  Google Scholar 

  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.

    Article  Google Scholar 

  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.

    Article  MathSciNet  Google Scholar 

  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.

    Article  Google Scholar 

  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.

    MATH  Google Scholar 

  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.

    Article  MathSciNet  Google Scholar 

  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.

    Article  MathSciNet  Google Scholar 

  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.

    Article  MathSciNet  Google Scholar 

  9. López, H. and Sigalotti, L. Di G., Adaptive kernel estimation and SPH tensile instability. Computers and Mathematics with Applications, 2008, 55: 23–50.

    Article  MathSciNet  Google Scholar 

  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.

    Article  MathSciNet  Google Scholar 

  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.

    Article  Google Scholar 

  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.

    Article  Google Scholar 

  13. Liu, G.R. and Liu, M.B., Smoothed Particle Hydrodynamics — Meshfree Particle Method. World Scientific Publishing Co. Pte. Ltd., 2003.

  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.

    Article  Google Scholar 

  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 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Fei Xu.

Additional information

Project supported by the National Natural Science Foundation of China (No. 10577016), the 111 Project (No. B07050) and the program for 2008 New Century Excellent Talents in University (No. NCET080454).

Rights and permissions

Reprints and permissions

About this article

Cite this article

Xu, F., Zhao, Y., Li, Y. et al. Study of numerical and physical fracture with SPH method. Acta Mech. Solida Sin. 23, 49–56 (2010). https://doi.org/10.1016/S0894-9166(10)60006-7

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1016/S0894-9166(10)60006-7

Key words

Navigation