Skip to main content
Log in

Coupled Shell-Material Point Method for Bird Strike Simulation

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

Abstract

In a bird strike, the bird undergoes large deformation like flows; while most part of the structure is in small deformation, the region near the impact point may experience large deformations, even fail. This paper develops a coupled shell-material point method (CSMPM) for bird strike simulation, in which the bird is modeled by the material point method (MPM) and the aircraft structure is modeled by the Belytschko–Lin–Tsay shell element. The interaction between the bird and the structure is handled by a particle-to-surface contact algorithm. The distorted and failed shell elements will be eroded if a certain criterion is reached. The proposed CSMPM takes full advantages of both the finite element method and the MPM for bird strike simulation and is validated by several numerical examples.

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.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11
Fig. 12
Fig. 13
Fig. 14
Fig. 15
Fig. 16

Similar content being viewed by others

References

  1. Heimbs S. Computational methods for bird strike simulations: a review. Comput Struct. 2011;89(23–24):2093–112.

    Article  Google Scholar 

  2. Hedayati R, Sadighi M, Mohammadi-aghdam M. On the difference of pressure readings from the numerical, experimental and theoretical results in different bird strike studies. Aerosp Sci Technol. 2014;32(1):260–6.

    Article  Google Scholar 

  3. Hedayati R, Sadighi M. Bird strike: an experimental, theoretical and numerical investigation. Amsterdam: Elsevier Science; 2015.

    Google Scholar 

  4. Dolbeer RA, Wright SE, Weller JR, Anderson AL, Begier MJ. Wildlife strikes to civil aircraft in the united states 1990–2014. FAA/USDA: Tech. rep; 2015.

    Google Scholar 

  5. Wilbeck JS. Impact behavior of low strength projectiles. Wright-Patterson Air Force Base: Tech. rep; 1978.

    Google Scholar 

  6. Georgiadis S, Gunnion AJ, Thomson RS, Cartwright BK. Bird-strike simulation for certification of the boeing 787 composite moveable trailing edge. Compos Struct. 2008;86(1–3):258–68.

    Article  Google Scholar 

  7. Anghileri M, Castelletti L-ML, Mazza V. Birdstrike: approaches to the analysis of impacts with penetration. Impact Load Lightweight Struct. 2005;49:63–74.

    Google Scholar 

  8. Lavoie M-A, Gakwaya A, Nejad Ensan M, Zimcik D. Validation of available approaches for numerical bird strike modeling tools. Int Rev Mech Eng. 2007;1(4):380–9.

    Google Scholar 

  9. Sulsky D, Chen Z, Schreyer HL. A particle method for history-dependent materials. Comput Methods Appl Mech Eng. 1994;118(1–2):179–96.

    Article  MathSciNet  MATH  Google Scholar 

  10. Sulsky D, Zhou S-J, Schreyer HL. Application of a particle-in-cell method to solid mechanics. Comput Phys Commun. 1995;87(1–2):236–52.

    Article  MATH  Google Scholar 

  11. Lian YP, Zhang X, Liu Y. An adaptive finite element material point method and its application in extreme deformation problems. Comput Methods Appl Mech Eng. 2012;241–244(1):275–85.

    Article  MATH  Google Scholar 

  12. Lian YP, Liu Y, Zhang X. Coupling of membrane element with material point method for fluid–membrane interaction problems. Int J Mech Mater Des. 2014;10(2):199–211.

    Article  Google Scholar 

  13. Ma S, Zhang X, Qiu XM. Comparison study of MPM and SPH in modeling hypervelocity impact problems. Int J Impact Eng. 2009;36:272–82.

    Article  Google Scholar 

  14. Lian YP, Zhang F, Liu Y, Zhang X. Material point method and its applications. Adv Mech. 2013;43(2):237–64.

    Google Scholar 

  15. Lian YP, Zhang X, Zhou X, Ma S, Zhao YL. Numerical simulation of explosively driven metal by material point method. Int J Impact Eng. 2011;38:237–45.

    Article  Google Scholar 

  16. Andersen S, Andersen L. Modelling of landslides with the material-point method. Comput Geosci. 2010;14:137–47.

    Article  MATH  Google Scholar 

  17. Nairn JA. Material point method calculations with explicit cracks. CMES-Comput Model Eng Sci. 2003;4:649–63.

    MATH  Google Scholar 

  18. Zhang DZ, Zou Q, VanderHeyden WB, Ma X. Material point method applied to multiphase flows. J Comput Phys. 2008;227:3159–73.

    Article  MathSciNet  MATH  Google Scholar 

  19. Zhang X, Sze KY, Ma S. An explicit material point finite element method for hyper velocity impact. Int J Numer Meth Eng. 2006;66:689–706.

    Article  MATH  Google Scholar 

  20. Lian YP, Zhang X, Zhou X, Ma ZT. A FEMP method and its application in modeling dynamic response of reinforced concrete subjected to impact loading. Comput Methods Appl Mech Eng. 2011;200(17–20):1659–70.

    Article  MATH  Google Scholar 

  21. Lian YP, Zhang X, Liu Y. Coupling of finite element method with material point method by local multi-mesh contact method. Comput Methods Appl Mech Eng. 2011;200:3482–94.

    Article  MathSciNet  MATH  Google Scholar 

  22. Chen ZP, Qiu XM, Zhang X, Lian YP. Improved coupling of finite element method with material point method based on a particle-to-surface contact algorithm. Comput Methods Appl Mech Eng. 2015;293:1–19.

    Article  MathSciNet  Google Scholar 

  23. Belytschko T, Lin JI, Chen-Shyh T. Explicit algorithms for the nonlinear dynamics of shells. Comput Methods Appl Mech Eng. 1984;42(2):225–51.

    Article  MATH  Google Scholar 

  24. Hallquist JO. ANSYS/LS-DYNA Theoretical Manual, Livermore Software Technology Corporation, 2006.

  25. ESI Group, Theory Notes Manual, PAM System International, Paris, France, 2000.

  26. Dassault Systèmes, ABAQUS 6.12 Theory manual, Dassault Systèmes, Paris, France, 2012.

  27. Belytschko T, Wong BL, Chiang H-Y. Advances in one-point quadrature shell elements. Comput Methods Appl Mech Eng. 1992;96(1):93–107.

    Article  MATH  Google Scholar 

  28. Mindlin RD. Influence of rotary inertia and shear on flexural motions of isotropic, elastic plates. J Appl Mech. 1951;18:31–8.

    MATH  Google Scholar 

  29. Flanagan DP, Belytschko T. A uniform strain hexahedron and quadrilateral with orthogonal hourglass control. Int J Numer Meth Eng. 1981;17(5):679–706.

    Article  MATH  Google Scholar 

  30. Belytschko T, Lin JI. A three-dimensional impact-penetration algorithm with erosion. Comput Struct. 1987;25(1):95–104.

    Article  MATH  Google Scholar 

  31. Ma Z, Zhang X, Huang P. An object-oriented MPM framework for simulation of large deformation and contact of numerous grains. CMES-Comput Model Eng Sci. 2010;55(1):61–87.

    Google Scholar 

  32. Zhang X, Lian YP, Liu Y, Xu Z. The Material Point Method. Beijing: Tsinghua University Press; 2013 (in Chinese).

    Google Scholar 

  33. McCarthy MA, Xiao JR, McCarthy CT, Kamoulakos A, Ramos J, Gallard JP, Melito V. Modelling of bird strike on an aircraft wing leading edge made from fibre metal laminates—part 2: modelling of impact with sph bird model. Appl Compos Mater. 2004;11(5):317–40.

    Article  Google Scholar 

  34. Hedayati R, Ziaei-Rad S. Foam-core effect on the integrity of tailplane leading edge during bird-strike event. J Aircr. 2011;48(6):2080–9.

    Article  Google Scholar 

  35. Langrand B, Bayart A-S, Chauveau Y, Deletombe E. Assessment of multi-physics FE methods for bird strike modelling-application to a metallic riveted airframe. Int J Crashworthiness. 2002;7(4):415–28.

    Google Scholar 

  36. Hanssen AG, Girard Y, Olovsson L, Berstad T, Langseth M. A numerical model for bird strike of aluminium foam-based sandwich panels. Int J Impact Eng. 2006;32(7):1127–44.

    Article  Google Scholar 

  37. Sun Q, Liu YJ, Jin RH. Numerical simulation of bird strike in aircraft leading edge structure using a new dynamic failure model. In: International Council of the Aeronautical Sciences, 2014.

  38. Swegle J, Hicks D, Attaway S. Smoothed particle hydrodynamics stability analysis. J Comput Phys. 1995;116(1):123–34.

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Xiong Zhang.

Additional information

Supported by the National Natural Science Foundation of China (11390363).

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Wu, B., Chen, Z., Zhang, X. et al. Coupled Shell-Material Point Method for Bird Strike Simulation. Acta Mech. Solida Sin. 31, 1–18 (2018). https://doi.org/10.1007/s10338-018-0001-2

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10338-018-0001-2

Keywords

Navigation