Recent Insights into Penetration of Sand and Similar Granular Materials

  • Mehdi Omidvar
  • Stephan Bless
  • Magued Iskander
Part of the Shock Wave and High Pressure Phenomena book series (SHOCKWAVE)


This chapter is concerned with kinetic energy driven penetration into soils and soil-like granular materials. Historically this is a topic of great interest to military and civil engineers. The response of granular materials to dynamic loading also has implications for many other branches of engineering and planetary physics. Kinetic energy driven penetration refers to movement of projectiles following high-speed impact. For the phenomena discussed in this paper, there are no forces on the penetrator except the force by which the target resists penetration.


  1. 1.
    Iskander M, Bathurst R, Omidvar M (2015) Past, present, and future of transparent soils. Geotech Test J 38:1–17. CrossRefGoogle Scholar
  2. 2.
    Iskander M, Bless S, Omidvar M (2015) Rapid penetration into granular media. Elsevier, AmsterdamGoogle Scholar
  3. 3.
    Peden R, Omidvar M, Bless S, Iskander M (2014) Photonic Doppler velocimetry for study of rapid penetration into sand. Geotech Test J 37:139–150CrossRefGoogle Scholar
  4. 4.
    Omidvar M, Iskander M, Bless S (2012) Stress-strain behavior of sand at high strain rates. Int J Impact Eng 49:192–213CrossRefGoogle Scholar
  5. 5.
    Clark AH, Kondic L, Behringer RP (2012) Particle scale dynamics in granular impact. Phys Rev Lett 109:238302ADSCrossRefGoogle Scholar
  6. 6.
    Borg J (2017) Projectile penetration into sand targets. In: American Physical Society topical conference on shock compression of condensed matter, St Louis, MO. 2017APS. SHK.D6003BGoogle Scholar
  7. 7.
    Kondic L, Goullet A, O’Hern CS, Kramar M, Mishaikow M, Behringer RP (2012) Topology of force networks in compressed granular media. Eourophys Lett 97:54001. ADSCrossRefGoogle Scholar
  8. 8.
    Myers MA (1994) Dynamic behavior of materials. Wiley, New YorkCrossRefGoogle Scholar
  9. 9.
    Tate T (1969) Further results in the theory of long rod penetration. Journal of Mechanics and Physics of Solids 17:141ADSCrossRefGoogle Scholar
  10. 10.
    Flis W, Jann D, Shan K (2008) Supersonic penetration by Wedges and Cones into dry sand. In: 24th international symposium on ballistics, Sept. 22–26, Orlando, FLGoogle Scholar
  11. 11.
    Bless S, Berry D, Pedersen B, Lawhorn W (2009) Sand penetration by high-speed projectiles. In: 16th American Physical Society shock compression of condensed matter, June 28–July 3, 2009, Nashville, TNGoogle Scholar
  12. 12.
    Dwivedi SK, Teeter RD, Felice CW, Gupta UM (2008) Two dimensional mesoscale simulations of projectile instability during penetration of dry sand. J Appl Phys 104:083502ADSCrossRefGoogle Scholar
  13. 13.
    Savvateev AF, Budin AV, Kolikov VA, Rutberg PG (2001) High-speed penetration into sand. Int J Impact Eng 26:675CrossRefGoogle Scholar
  14. 14.
    Schneider E, Stilp A (1984) Projectile penetration into low density media. In: 8th international symposium on ballistics, Orlando, FLGoogle Scholar
  15. 15.
    Satapathy S (2001) Cavity shape evolution during penetration of yawed long rods. In: 20th international symposium on ballistics. Interlaken, Switzerland, May 2001Google Scholar
  16. 16.
    Bless S, Peden B, Guzman I, Omidvar M (2013) Poncelet coefficients of granular media. In: Song B, Casem D, Kimberley J (eds) Dynamic behavior of materials, Conference proceedings of the Society for Experimental Mechanics series, vol 1. Springer, New York, p 528Google Scholar
  17. 17.
    Forrestal MJ, Luk VK (1992) Penetration into soil targets. Int J Impact Eng 12:427–444CrossRefGoogle Scholar
  18. 18.
    Young CW (1997) Penetration equations. Report no. SAND97–2426. Sandia Laboratories, AlbuquerqueGoogle Scholar
  19. 19.
    Guzman I, Iskander M, Bless S, Qi C (2014) Terminal depth of penetration of spherical projectiles in transparent granular media. Granul Matter 16:829–884. CrossRefGoogle Scholar
  20. 20.
    Thompson JB (1975) Low-velocity impact penetration of low-velocity soil deposits. Ph.D. dissertation. University of California, BerkeleyGoogle Scholar
  21. 21.
    Glössner C, Moser S, Külls K, Hess S, Nau S, Penamadu D, Petrinic N (2017) Instrumented projectile penetration testing of granular materials. Exp Mech 57:271–272. CrossRefGoogle Scholar
  22. 22.
    Collins AL, Addiss JW, Walley SM, Promratana K, Bobaru F, Proud WG (2011) The effect of nose shape on the internal flow fields during ballistic penetration of sand. Int J Impact Eng 38:951CrossRefGoogle Scholar
  23. 23.
    Omidvar M, Doreau Malioche J, Bless S, Iskander M (2015) Phenomenology of rapid projectile penetration into granular soils. Int J Impact Eng 85:146–160CrossRefGoogle Scholar
  24. 24.
    Omidvar M, Iskander M, Bless S (2016) Soil-projectile interactions during low velocity penetration. Int J Impact Eng 93:211–221. CrossRefGoogle Scholar
  25. 25.
    Chen Z, Omidvar M, Iskander M, Bless S (2014) Modelling of projectile penetration into transparent sand. Int J Phys Model Geotech 14:68–79. CrossRefGoogle Scholar
  26. 26.
    Omidvar M, Malioche JD, Chen Z, Iskander M, Bless S (2015) Visualizing kinematics of dynamic penetration in granular media using transparent soils. Geotech Test J 38:18. CrossRefGoogle Scholar
  27. 27.
    Chapman DJ, Tsembalis T, Proud WG (2006) The behaviour of water saturated sand under shock loading. In: Proc 2006 Society of Engineering Mechanics annual conference and exposition on experimental and applied mechanics, vol 2. Society for Experimental Mechanics, BethelGoogle Scholar
  28. 28.
    Taylor T, Fragaszy RJ, Ho CL (1991) Projectile penetration in granular soils. J Geotech Eng 117:658–672CrossRefGoogle Scholar
  29. 29.
    Guzman I, Iskander M, Bless S (2015) Observations of projectile penetration into a transparent soil. Mech Res Commun 70:4–11CrossRefGoogle Scholar
  30. 30.
    Omidvar M, Chen Z, Iskander M (2014) Image-based Lagrangian analysis of granular kinematics. J Comput Civ Eng 29:04014101CrossRefGoogle Scholar
  31. 31.
    Backofen J (1989) Supersonic compressible modeling of shaped charge jets. Int Symp Ballist 2:395–406Google Scholar
  32. 32.
    Kotov VI, Balandin VV, Bragov AM (2013) Quasi-steady motion of a solid in a loose soil with developed cavitation. Dokl Phys 58:309–313ADSCrossRefGoogle Scholar
  33. 33.
    Penumadu D, Kim F (2015) Multimodal radiation based tomography and diffraction of granular materials using neutrons and photons and instrumented penetration mechanics. In: Iskander M, Bless S, Omidvar M (eds) Rapid penetration into granular media. Elsevier, New YorkGoogle Scholar
  34. 34.
    Parab ND, Claus B, Hudspeth MC, Black JT, Mondal A, Sun J, Fezzas K, Xiao X, Luo SN, Chen W (2014) Experimental assessment of fracture in individual sand particles at different loading rates. Int J Impact Eng 68:8–14CrossRefGoogle Scholar
  35. 35.
    Allen WA, Mayfield EB, Morrison HL (1957) Dynamics of a projectile penetration sand. J Appl Phys 28:370–376ADSCrossRefGoogle Scholar
  36. 36.
    Cooper WL, Breaux BA (2010) Grain fracture in rapid particulate media deformation and a particulate media research roadmap from the PMEE workshops. Int J Fract 162:137–150CrossRefGoogle Scholar
  37. 37.
    Bless S, Omidvar M, Iskander M (2017) Poncelet coefficients for dry sand. In: American Physical Society topical conference on shock compression of condensed matter, St Louis, MOGoogle Scholar
  38. 38.
    Meyerhof GG (1976) Bearing capacity and settlement of pile foundations. J Geotech Eng ASCE 102:195–228Google Scholar
  39. 39.
    Das BM (2007) Principles of foundation engineering. Chapter 11.7, 6th edn. Cengage Learning, StamfordGoogle Scholar
  40. 40.
    Clark AH, Behringer RP (2013) Granular impact model as an energy-depth relation. Europhys Lett 101:64001ADSCrossRefGoogle Scholar
  41. 41.
    Omidvar M, Iskander M, Bless S (2014) Response of granular media to rapid penetration. Int JImpact Eng 66:60–82. CrossRefGoogle Scholar

Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  • Mehdi Omidvar
    • 1
  • Stephan Bless
    • 2
  • Magued Iskander
    • 2
  1. 1.Department of Civil and Environmental EngineeringManhattan CollegeNew YorkUSA
  2. 2.Civil and Urban Engineering DepartmentNew York UniversityNew YorkUSA

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