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Analysis and Prediction of Hole Penetrated in Thin Plates under Hypervelocity Impacts of Cylindrical Projectiles

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Abstract

The hole penetrated in thin metallic plates due to hypervelocity impacts of cylindrical projectiles was analyzed by experimental method. The projectile caused a hole-expanding effect when penetrating the target plate because of dynamic shear failure and extrusion. A new empirical model was presented to predict the perforation diameter in thin plates impacted by high-velocity cylindrical projectiles. The fitting coefficients resulted in a root-mean-square of 0.0641 and a correlation coefficient of 0.991. The errors between the predicted and the experimental values were less than 7.251%, and less than 4.705% for 93.333% cases of the dataset. The accuracy of the proposed model is much higher than that of Hill’s model. Compared with historical equations, the new model is more accurate and can well describe the variations of different parameters with the normalized penetrated hole. The model takes into account the strength of materials, which contributes to the excellent results. This paper could provide important theoretical support for the analysis of the perforation process and its mechanism.

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Data Availability

Some or all data and models that support the findings of this study are available from the corresponding author upon reasonable request.

Abbreviations

v 0 :

Striking velocity of projectile

d p :

Diameter of the cylindrical projectile

L p :

Length of the cylindrical projectile

T t :

Thickness of target

T t/d p :

Ratio of target thickness to projectile diameter

ρ p , ρ t :

Densities of projectile and target materials, respectively

c p, c t :

Acoustic velocities of projectile and target materials, respectively

Y p ,Y t :

Strengths of projectile and target materials, respectively

a 1-a 10 :

Dimensionless parameters used in the model

d h :

Diameter of penetrated hole in the target

References

  1. Lawrence J, De C. An explanation for the minimal effect of body curvature on hypervelocity penetration hole formation. Int J Solids Struct. 2004;41(15):4163–77.

    Article  MATH  Google Scholar 

  2. Dhote KD, Verma PN. Investigation of hole size formation by steel sphere impacting on thin plate at hypervelocity. Procedia Eng. 2017;173(000):323–30.

    Article  Google Scholar 

  3. Williamsen JE, Schonberg WP, Evans H, Evans S. A comparison of NASA, DoD, and hydrocode ballistic limit predictions for spherical and non-spherical shapes versus dual- and single-wall targets, and their effects on orbital debris penetration risk. Int J Impact Eng. 2008;35(12):1870–7.

    Article  Google Scholar 

  4. Hayashida KB, Robinson JH. Single wall penetration equations. Washington: NASA Technical Memorandum; 1991.

    Google Scholar 

  5. Maiden CJ, McMillan AR, Sennett RE. Thin sheet impact. Washington: NASA Contractor Reports; 1965.

    Google Scholar 

  6. Piekutowski AJ. Holes produced in thin aluminum sheets by the hypervelocity impact of aluminum spheres. Int J Impact Eng. 1999;23(1):711–22.

    Article  Google Scholar 

  7. Matthias W. Penetration data for a medium caliber tungsten sinter alloy penetrator into aluminum alloy 7020 in the velocity regime from 250 m/s to 1900 m/s. Spain: The 23rd International Symposium on Ballistics; 2007.

  8. Hosseinia M, Abbas H. Growth of hole in thin plates under hypervelocity impact of spherical projectiles. Thin-Walled Struct. 2006;44(9):1006–16.

    Article  Google Scholar 

  9. Watts AJ, Atkinson D. Dimensional scaling for impact cratering and perforation. Int J Impact Eng. 1995;17(4):925–35.

    Article  Google Scholar 

  10. Rolsten RF, Wellnitz JN, Hunt HH. An example of hole diameter in thin plates due to hypervelocity impact. J Appl Phys. 1964;35(3):556–9.

    Article  Google Scholar 

  11. Schonberg WP, Bean AJ, Darzi K. Hypervelocity impact physics. Washington: NASA Contractor Reports; 1991.

    Google Scholar 

  12. Hill SA. Determination of an empirical model for the prediction of penetration hole diameter in thin plates from hypervelocity impact. Int J Impact Eng. 2004;30(3):303–21.

    Article  Google Scholar 

  13. Zhang W, Pang BJ, Luo DK, Zhang ZH. Investigation into material state characterization of debris cloud created by cylindrical projectile impact on bumper. Chin Space Sci Technol. 2001;3:53–9.

    Google Scholar 

  14. Ma K, Chen CL, Feng N. Characteristics of perforation and fragment group expansion of steel sheet impacted by cylindrical 93 tungsten projectile at hypervelocity. Acta Armamentarii. 2021;42(11):2350–9.

    Google Scholar 

  15. Rosenberg Z, Kositski R. The hole diameter in metallic plates impacted by hypervelocity projectile. Int J Impact Eng. 2017;102(000):147–55.

    Article  Google Scholar 

  16. Mortensen RB, Ferguson JE, Joyce JP, Kreyenhagen KN. Effects of 3 to 12 km/s impacts on finite targets. In: Cleveland: Proceedings of the Sixth Symposium on Hypervelocity Impact; 1963. p. 157–205.

  17. Schonberg WP. Predicting multi-wall structural response to hypervelocity impact using the Hull code. Washington: NASA Contractor Reports; 1993.

    Google Scholar 

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Acknowledgements

The authors would like to thank Prof. Qingshan Cai of Zhongnan University for the microstructure characterization.

Funding

This work was supported by the National Natural Science Foundation of China (No. 11772269).

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Authors and Affiliations

  1. School of Materials Science and Engineering, Beijing Institute of Technology, Beijing, 100081, China

    Na Feng & Chengwen Tan

  2. Northwest Institute of Nuclear Technology, Xi’an, 710024, China

    Na Feng, Mingrui Li, Kun Ma, Chunlin Chen, Lixin Yin & Gang Zhou

Authors
  1. Na Feng
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  2. Mingrui Li
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  3. Kun Ma
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  6. Gang Zhou
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Contributions

NF contributed to investigation, data collection, empirical model proposal and validation, writing—original draft preparation and revision. ML contributed to fitting analysis. CC and LY carried out the experiments. GZ and CT contributed to writing—review and supervision. All authors have read and agreed upon the published version of the manuscript.

Corresponding author

Correspondence to Na Feng.

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Feng, N., Li, M., Ma, K. et al. Analysis and Prediction of Hole Penetrated in Thin Plates under Hypervelocity Impacts of Cylindrical Projectiles. Acta Mech. Solida Sin. 36, 702–709 (2023). https://doi.org/10.1007/s10338-023-00413-z

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