Skip to main content
SpringerLink
Log in

Scaling impacted structures

  • Originals
  • Published:
Archive of Applied Mechanics Aims and scope Submit manuscript

Summary

The problem of non-scalability of structures under impact loads caused by strain-rate effects is solved in this article by properly correcting the impact velocity. The technique relies on the use of an alternative dimensionless basis, together with a mathematical model which allows the calculation of a correction factor for the impact velocity. This new velocity, when applied to the model, makes it to assure the satisfaction of the scaling laws. The indirect similitude method detailed here is applied to two strain-rate sensitive structures, a double plate under in-plane impact and a beam subjected to a blast load. The results show a very good agreement so that the model and a prototype made from strain rate sensitive materials behave the same.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Alves, M.: Material constitutive law for large strains and strain rates. J Eng Mech 126(2) (2000) 215–218

    Article  MathSciNet  Google Scholar 

  2. Alves, M.;Jones, N.: Impact failure of beams using damage mechanics: Part I—Analtical model. Int J Impact Eng 27(8) (2002) 837–861

    Article  Google Scholar 

  3. Baker, W.; Westine, P.; Dodge, F.: Similarity methods in engineering dynamics. Elsevier

  4. Booth, E.;Collier, D.;Miles, J.: Impact scalability of plated steel structures. In: Jones, N., Wierzbicki, T. (eds.) Structural crashworthiness. Butterworths, London (1983) pp. 136–174

    Google Scholar 

  5. Calladine, C.;English, R.: Strain rate and inertial effects in the collapse of two types of energy-absorbing structure. Int J Mech Sci 26 (1986) 689–701

    Article  Google Scholar 

  6. Calladine, R.: An investigation of impact scaling theory (appendix). In: Jones, N., Wierzbicki, T. (eds.), Structural crashworthiness, Butterworths, London (1983) pp. 169–174

    Google Scholar 

  7. Carpinteri, A.: Size-scale effects in the failure mechanisms of materials and structures. E & FN Spon, London (1996)

    Google Scholar 

  8. Drazetic, P.;Ravalard, Y.;Dacheux, F.;Marguet, B: Applying non-direct similitude technique to the dynamic bending collapse of rectangular section tubes. Int j Impact Eng 15(6) (1994) 797–814

    Article  Google Scholar 

  9. Duffey, T.: Scaling laws for fuel capsules subjected to blast, impact and thermal loading. In: Proc of the Intersociety Energy Conversion Eng Conference. SAE, (1971) pp. 775–786

  10. Duffey, T.;Cheresh, M.;Sutherland, S.: Experimental veification of scaling laws for punch-impact-loaded structures. Int J Impact Eng 2(2) (1984) 103–117

    Article  Google Scholar 

  11. Hu, Y.: Application of response number for dynamic plastic response of plates subjected to impulsive loading. Int J Pressure Vessels Piping 77 (2000) 711–714

    Article  Google Scholar 

  12. Jones, N.: Scaling of inelastic structures loaded dynamically. In: Davies, G. (ed.), Structural impact and crashworthiness. Elsevier Appl Sci (1984), pp. 45–74

  13. Jones, N.: Structural impact. Cambridge University Press, Cambridge (1989)

    Google Scholar 

  14. Jones, N.; Jouri, W.; Birch, R.: On the scaling of ship collision damage. In: Third Int Congress on Marine Technology. Athens, (1984), pp. 287–294

  15. Li, Q.;Jones, N.: On dimensionless number for dynamic plastic response of structural members. Arch Appl Mech 70 (2000) 245–254

    MATH  Google Scholar 

  16. Nurick, G.;Martin, J: Deformation of thin plates subjected to impulsive loading—a review, Part II: Experimental studies. Int J Impact Eng 8 (1989) 171–186

    Article  Google Scholar 

  17. Shi, X.;Gao, Y.: Generalization of response number for dynamic plastic response of shells subjected to impulsive loading. Int J Pressure Vessels Piping 78 (2001) 453–459

    Article  Google Scholar 

  18. Tam, L.;Calladine, C.: Inertia and strain-rate effects in a simple plate-structure inder impact loading. Int J Impact Eng 11 (1991) 349–377

    Article  Google Scholar 

  19. Wen, H.;Jones, N.: Experimental investigation of the scaling laws for metal plates struck by large masses. Int J Impact Eng 13(3) (1993) 485–505

    Article  Google Scholar 

  20. Zhang, T.;Yu, T.: A note on a velocity sensitive energy-absorbing structure. Int J Impact Eng 8 (1989) 43–51

    Article  Google Scholar 

  21. Zhao, Y.: Suggestion of a new dimensionless number for dynamic plastic response of beams and plates. Arch Appl Mech 68 (1998) 524–538

    Article  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Group of Solid Mechanics and Structural Impact-Department of Mechatronics and Mechanical Systems Engineering, University of São Paulo, 05508-900, São Paulo, Brazil

    R. E. Oshiro & M. Alves

Authors
  1. R. E. Oshiro
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. M. Alves
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to M. Alves.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Oshiro, R.E., Alves, M. Scaling impacted structures. Arch. Appl. Mech. 74, 130–145 (2004). https://doi.org/10.1007/BF02637214

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02637214

Keywords

Search

Navigation