A material point method model and ballistic limit equation for hyper velocity impact of multi-layer fabric coated aluminum plate

  • Zhiping Ye
  • Xiong Zhang
  • Gangtie Zheng
  • Guanghui Jia


A multi-layer fabric coated aluminum plate is usually used in the hard upper torso of space suit to protect astronauts from getting hurt by space dust. In this paper, the protective performance of the multi-layer fabric coated aluminum plate is investigated. To establish its ballistic limit equation, thirteen hyper velocity impact tests with different impact velocities (maximum velocity is 6.19 km/s) and projectile diameters have been conducted. To provide data for impact velocity higher than 6.2 km/s which is hard to be obtained by tests due to the limitations of test equipment capacity, a material point method (MPM) model is established for the multi-layer fabric coated aluminum plate and validated/corrected using the test results. The numerical results obtained using the corrected MPM model for impact velocity higher than 6.2 km/s are used together with the test results to develop the ballistic limit equation. The corrected MPM model and the ballistic limit equation developed for the multi-layer fabric coated aluminum plate provide an effective tool for the space suit design.


Hyper velocity impact Material point method Multi-layer fabric coated aluminum plate Space suit Ballistic limit equation 



This work was supported by the National Natural Science Foundation of China (Grant No. 11672154) and Science Challenge Project (TZ2017002).


  1. Bintao, L.: Research and application for special material models of spacecraft shielding structure. In PhD Thesis (2011)Google Scholar
  2. Bohannan, A., Fahrenthold, E.: Hypervelocity impact simulation using membrane particle-elements. Int. J. Impact Eng. 35(12), 1497–1502 (2008)CrossRefGoogle Scholar
  3. Chen, Z.P., Qiu, X.M., Zhang, X., Lian, Y.P.: Improved coupling of finite element method with material point method based on a particle-to-surface contact algorithm. Comput. Methods Appl. Mech. Eng. 293(15), 1–19 (2015)MathSciNetCrossRefGoogle Scholar
  4. Christiansen, E.L., Crews, J.L., Kerr, J.H., Chhabildas, L.C.: Hypervelocity impact testing above 10 km/s of advanced orbital debris shields. AIP Conf. Proc. 370, 1183–1186 (1996)CrossRefGoogle Scholar
  5. Christiansen, E.L., Cour-Palais, B.G., Friesen, L.J.: Extravehicular activity suit penetration resistance. Int. J. Impact Eng. 23(1), 113–124 (1999)CrossRefGoogle Scholar
  6. Gleghorn G., Asay, J., Atkinson, D., Flury, W., Johnson, N., Kessler, D., Knowles, S., Rex, D., Toda, S., Veniaminov, S.: Orbital debris: a technical assessment. In Nasa Sti/recon Technical Report N 95 (1969)Google Scholar
  7. Gong, W.W., Liu, Y., Zhang, X., Ma, H.L.: Numerical investigation on dynamical response of aluminum foam subject to hypervelocity impact with material point method. CMES. Comput. Model. Eng. Sci. 83(5), 527–545 (2012)Google Scholar
  8. Hayhurst, C., Livingstone, I.: Advanced numerical simulations for hypervelocity impacts: AUTODYN simulations. Report R098, Century Dynamics Ltd. (1998)Google Scholar
  9. Hosur, M.V., Vaidya, U.K., Ulven, C., Jeelani, S.: Performance of stitched/unstitched woven carbon/epoxy composites under high velocity impact loading. Compos. Struct. 64(3), 455–466 (2004)CrossRefGoogle Scholar
  10. Hua, C.: Research on the mechanical and chemical properties of polyimide and its influence on hypervelocity impact phenomena. In PhD Thesis (2013)Google Scholar
  11. Huang, P., Zhang, X., Ma, S.: Shared memory OpenMP parallelization of explicit mpm and its application to hypervelocity impact. CMES-Comput. Model. Eng. Sci. 38, 119–147 (2008)zbMATHGoogle Scholar
  12. Huang, P., Zhang, X., Ma, S., Huang, X.: Contact algorithms for the material point method in impact and penetration simulation. Int. J. Numer. Methods Eng. 85(4), 498–517 (2011)CrossRefGoogle Scholar
  13. Johnson, G.R., Cook, W.H.: A constitutive model and data for metals subjected to large strains, high strain rates, and high temperatures. In: Proceedings of the 7th International Symposium on Ballistics, pp. 541–547. (1983)Google Scholar
  14. Johnson, G.R., Holmquist, T.J.: Evaluation of cylinder-impact test data for constitutive model constants. J. Appl. Phys. 64(8), 3901–3910 (1988)CrossRefGoogle Scholar
  15. Lian, Y.P., Zhang, X., Zhou, X., Ma, S., Zhao, Y.L.: Numerical simulation of explosively driven metal by material point method. Int. J. Impact Eng. 38, 237–245 (2011a)CrossRefGoogle Scholar
  16. Lian, Y.P., Zhang, X., Zhou, X., Ma, Z.T.: A FEMP method and its application in modeling dynamic response of reinforced concrete subjected to impact loading. Comput. Methods Appl. Mech. Eng. 200(17–20), 1659–1670 (2011b)CrossRefGoogle Scholar
  17. Lian, Y.P., Zhang, X., Liu, Y.: An adaptive finite element material point method and its application in extreme deformation problems. Comput. Methods Appl. Mech. Eng. 241–244(1), 275–285 (2012)CrossRefGoogle Scholar
  18. Lian, Y.P., Liu, Y., Zhang, X.: Coupling of membrane element with material point method for fluid-membrane interaction problems. Int. J. Mech. Mater. Des. 10(2), 199–211 (2014a)CrossRefGoogle Scholar
  19. Lian, Y.P., Zhang, X., Zhang, F., Cui, X.X.: Tied interface grid material point method for problems with localized extreme deformation. Int. J. Impact Eng. 70, 50–61 (2014b)CrossRefGoogle Scholar
  20. Lian, Y., Yang, P., Zhang, X., Zhang, F., Liu, Y., Huang, P.: A mesh-grading material point method and its parallelization for problems with localized extreme deformation. Comput. Methods Appl. Mech. Eng. 289, 291–315 (2015)MathSciNetCrossRefGoogle Scholar
  21. Liu, P., Liu, Y., Zhang, X.: Improved shielding structure with double honeycomb cores for hyper-velocity impact. Mech. Res. Commun. 69, 34–39 (2015a)CrossRefGoogle Scholar
  22. Liu, P., Liu, Y., Zhang, X.: Internal-structure-model based simulation research of shielding properties of honeycomb sandwich panel subjected to high-velocity impact. Int. J. Impact Eng. 77, 120–133 (2015b)CrossRefGoogle Scholar
  23. Liu, P., Liu, Y., Zhang, X.: Simulation of hyper-velocity impact on double honeycomb sandwich panel and its staggered improvement with internal-structure model. Int. J. Mech. Mater. Des. 12(2), 241–254 (2016)MathSciNetCrossRefGoogle Scholar
  24. Liu, S., Huang, J., Li, Y., Zhou, Z., Ma, Z., Lan, S., Chen, H., Chen, P.: Recent advancement of hypervelocity impact tests at hai, CARDC. Manned Spacefl. 6, 17–23 (2011)Google Scholar
  25. Liu, Y., Wang, H.K., Zhang, X.: A multiscale framework for high-velocity impact process with combined material point method and molecular dynamics. Int. J. Mech. Mater. Des. 9(2), 127–139 (2013)CrossRefGoogle Scholar
  26. Ma, S., Zhang, X., Lian, Y.P., Zhou, X.: Simulation of high explosive explosion using adaptive material point method. CMES-Comput. Model. Eng. Sci. 39(2), 101–123 (2009a)MathSciNetzbMATHGoogle Scholar
  27. Ma, S., Zhang, X., Qiu, X.M.: Comparison study of mpm and sph in modeling hypervelocity impact problems. Int. J. Impact Eng. 36(2), 272–282 (2009b)CrossRefGoogle Scholar
  28. 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. 55(1), 61–87 (2010)Google Scholar
  29. Mcallum, W.E.: Development of meteoroid protection for extravehicular-activity space suits. J. Spacecr. Rockets. 6(11), 1225–1228 (1969)CrossRefGoogle Scholar
  30. Sulsky, D., Chen, Z., Schreyer, H.L.: A particle method for history-dependent materials. Comput. Methods Appl. Mech. Eng. 118(1–2), 179–196 (1994)MathSciNetCrossRefGoogle Scholar
  31. Sulsky, D., Zhou, S.J., Schreyer, H.L.: Application of a particle-in-cell method to solid mechanics. Comput. Phys. Commun. 87(1–2), 236–252 (1995)CrossRefGoogle Scholar
  32. White, D.M., Wicklein, M., Clegg, R.A., Nahme, H.: Multi-layer insulation material models suitable for hypervelocity impact simulations. Int. J. Impact Eng. 35(12), 1853–1860 (2008)CrossRefGoogle Scholar
  33. Zhang, J.: Research of the mc nylon composite material stuffed with pulverized fuel ash. In PhD thesis, Nanjing University of Science and Technology (2004)Google Scholar
  34. Zhang, X., Sze, K.Y., Ma, S.: An explicit material point finite element method for hyper velocity impact. Int. J. Numer. Methods Eng. 66, 689–706 (2006)CrossRefGoogle Scholar
  35. Zhang, X., Chen, Z., Liu, Y.: The Material Point Method-A Continuum-Based Particle Method for Extreme Loading Cases. Academic Press, Cambridge (2016)Google Scholar
  36. Zhang, F., Zhang, X., Liu, Y.: An augmented incompressible material point method for modeling liquid sloshing problems. Int. J. Mech. Mater. Des. 1–15, (2017). doi: 10.1007/s10999-017-9366-5 CrossRefGoogle Scholar
  37. Zukas, J.A.: Introduction to Hydrocodes. Elsevier, Amsterdam (2004)zbMATHGoogle Scholar

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© Springer Science+Business Media B.V. 2017

Authors and Affiliations

  1. 1.School of Aerospace EngineeringTsinghua UniversityBeijingChina
  2. 2.School of AstronauticsBeihang UniversityBeijingChina

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