Abstract
Impact cratering has a number of important scientific, military, and civilian applications. In this study, the techniques of quarter space penetration, transparent soil modeling, and high-speed photography are combined to visualize impact cratering of spherical projectiles as they penetrate into different granular media. The shape and size of the cross section of the impact crater were visualized and quantified using these techniques for two granular materials, in both dry and saturated conditions. The crater rate of expansion and the velocity decay were also mapped and used to estimate deceleration rates of the crater expansion. A tool is presented for assessing the shape and size of the crater for the case when the penetrator diverges from the observation window. Shallower craters were observed in angular fused quartz targets in comparison to the rounded sand targets. Similarly, higher viscosity saturating fluids lead to narrower cavities. Besides the open cavity, permanent dilation regions ahead of the projectile were also mapped. The evolution of the crater versus time was used to estimate the deceleration of the rate of expansion of the crater. New Poncelet parameters are also developed for specific testing conditions not available in the literature.
Similar content being viewed by others
Data availability
Data are available on request from the authors.
References
Colwell, J.E., et al., Ejecta from impacts at 0.2–2.3 m/s in low gravity. Icarus, 2008. 195(2): p. 908–917
Marston, J.O., Li, E.Q., Thoroddsen, S.T.: Evolution of fluid-like granular ejecta generated by sphere impact. J. Fluid Mech. 704, 5–36 (2012)
Pacheco-Vázquez, F., Tacumá, A., Marston, J.O.: Craters produced by explosions in a granular medium. Phys. Rev. E 96(3), 032904 (2017)
Mikkelsen, R., et al.: Granular Eruptions: Void Collapse and Jet Formation. Phys. Fluids 14(9), S14–S14 (2002)
Uehara, J.S., et al.: Low-Speed Impact Craters in Loose Granular Media. Phys. Rev. Lett. 90(19), 194301 (2003)
Hill, G., Yeung, S., Koehler, S.A.: Scaling vertical drag forces in granular media. EPL 72, 137–143 (2005)
Collins, G.S., et al., Numerical Modelling of Impact Processes. Impact Cratering, 2012: p. 254–270
Børvik, T., Dey, S., Olovsson, L.: Penetration of granular materials by small-arms bullets. Int. J. Impact Eng 75, 123–139 (2015)
Piekutowski, A.J. Formation of bowl-shaped craters. in Eleventh Lunar Planetary Science Conference. 1980. Houston, Texas
Borg, J.P., et al.: In situ velocity and stress characterization of a projectile penetrating a sand target: Experimental measurements and continuum simulations. Int. J. Impact Eng 51, 23–35 (2013)
Borg, J.P., Vogler, J.T.: An Experimental Investigation of a High Velocity Projectile Penetrating Sand. In: XIth International Congress and Exposition. Florida: Society of Experimental Mechanics, Inc, Orlando (2008)
Ormö, J., et al.: Scaling and reproducibility of craters produced at the Experimental Projectile Impact Chamber (EPIC), Centro de Astrobiología, Spain. Meteorit. Planet. Sci. 50(12), 2067–2086 (2015)
Barnouin-Jha, O.S., et al.: Non-intrusive measurements of crater growth. Icarus 188(2), 506–521 (2007)
Iskander, M., Bless, S., Omidvar, M.: Rapid penetration into granular media: visualizing the fundamental physics of rapid earth penetration. Elsevier, ISBN: 9780128008683 (2015)
Iskander, M.: Modelling with Transparent Soils, Visualizing Soil Structure Interaction and Multi Phase Flow, Non-Intrusively, p. 329. Springer, Geomechanics & Geoengineering (2010)
Guzman, I.L., et al.: A transparent aqueous-saturated sand surrogate for use in physical modeling. Acta Geotech. 9(2), 187–206 (2013)
Guzman, I.L., Iskander, M.: Geotechnical properties of sucrose-saturated fused quartz for use in physical modeling. Geotech. Test. J. 36(3), 448–454 (2013)
Liu, J.Y., Iskander, M.G., Sadek, S.: Consolidation and permeability of transparent amorphous silica. Geotech. Test. J. 26(4), 390–401 (2003)
Zhao, H., Ge, L.: Investigation on the shear moduli and damping ratios of silica gel. Granular Matter 16(4), 449–456 (2014)
Fernández-Serrano, R., Iskander, M., Tabe, K.: 3D contaminant flow imaging in transparent granular porous media. Géotechnique Letters 1(3), 71–78 (2011)
Lo, H., et al.: A Transparent Water-Based Polymer for Simulating Multiphase Flow. Geotech. Test. J. 33(1), 1–13 (2010)
Wallace, J., Rutherford, C.: Geotech. Test. J. 38(5), 574–587 (2015)
Iskander, M., Bathurst, R., Omidvar, M.: Past, Present, and Future of Transparent Soils. Geotech. Test. J. 38(5), 557–573 (2015)
Kong, G., et al.: Investigation on shear modulus and damping ratio of transparent soils with different pore fluids. Granular Matter 20(1), 8 (2018)
Ezzein, F.M., Bathurst, R.J.: A transparent sand for geotechnical laboratory modeling. ASTM Geotechnical Testing Journal 34(6), 1–12 (2011)
Chen, Z., et al.: Modelling of projectile penetration using transparent soils. International Journal of Physical Modelling in Geotechnics 14(3), 68–79 (2014)
Gill, D., Lehane, B.: An Optical Technique for Investigating Soil Displacement Patterns. Geotech. Test. J. 24(3), 324–329 (2001)
Iskander, M., Liu, J.: Spatial Deformation Measurement Using Transparent Soil. Geotech. Test. J. 33(4), 314–321 (2010)
Lehane, B.M., Gill, D.R.: Displacement fields induced by penetrometer installation in an artificial soil. International Journal of Physical Modelling in Geotechnics 4(1), 25–36 (2004)
Liu, J., Iskander, M.G.: Modelling capacity of transparent soil. Can. Geotech. J. 47(4), 451–460 (2010)
NI, Q., HIRD, C.C., GUYMER, I.: Physical modelling of pile penetration in clay using transparent soil and particle image velocimetry. Géotechnique 60(2), 121–132 (2010)
Omidvar, M., et al.: Visualizing Kinematics of Dynamic Penetration in Granular Media Using Transparent Soils. Geotech. Test. J. 38(5), 656–672 (2015)
Ads, A., Iskander, M., Bless, S.: Soil–projectile interaction during penetration of a transparent clay simulant. Acta Geotech. 15(4), 815–826 (2020)
Ads, A., et al.: Visualizing the effect of Fin length on torpedo anchor penetration and pullout using a transparent soil. Ocean Eng. 216, 108021 (2020)
Das, B.M.: Principles of Geotechnical Engineering, 10th edn. Cengage Learning (2020)
Cave, A., et al.: Design and performance of a laboratory pneumatic gun for soil ballistic applications. Exp. Tech. 40, 541–553 (2016). https://doi.org/10.1007/s40799-016-0055-3
Guzman, I., Iskander, M. Quarter Space Penetration into Granular Media. 2021; Available from: https://youtu.be/Kh1NZ8g3mjU
Guzman, I., Iskander, M., Bless, S.: A Comparison of Half and Quarter Space Penetration into Granular Media. Geotechnical Testing Journal 43(4):809–828 (2020). https://doi.org/10.1520/GTJ20190080
Nelson, E.L., et al.: Projectile Interactions in Granular Impact Cratering. Phys. Rev. Lett. 101(6), 068001 (2008)
Díaz-Melián, V.L., et al.: Rolling away from the Wall into Granular Matter. Phys. Rev. Lett. 125(7), 078002 (2020)
Allen, W.A., Mayfield, E.B., Morrison, H.L.: Dynamics of a Projectile Penetrating Sand. J. Appl. Phys. 28(3), 370–376 (1957)
Allen, W.A., Mayfield, E.B., Morrison, H.L.: Dynamics of a projectile penetrating sand: part II. J. Appl. Phys. 28(11), 1331–1335 (1957)
Suescun-Florez, E., et al.: Particle Size Reduction in Granular Materials During Rapid Penetration. In: Dynamic Behavior of Materials, vol. 1. Springer (2016). https://doi.org/10.1007/978-3-319-22452-7_31
Clemmow, C.A., Hadcock, S.G.: IX. A theory of internal ballistics based on a pressure-index law burning for propellants. Philosophical Transactions of the Royal Society of London. Series A, Containing Papers of a Mathematical or Physical Character, 1928. 227(647–658): p. 345–382
Mcmanus, K.J., Davis, R.O.: Dilation-induced pore fluid cavitation in sands. Géotechnique 47(1), 173–177 (1997)
Guzman, I.L., et al.: Terminal depth of penetration of spherical projectiles in transparent granular media. Granular Matter 16(6), 829–842 (2014)
Cooke, S.A., Jónsdóttir, S., Westh, P.: The vapour pressure of water as a function of solute concentration above aqueous solutions of fructose, sucrose, raffinose, erythritol, xylitol, and sorbitol. J. Chem. Thermodyn. 34(10), 1545–1555 (2002)
Poncelet, J.V., Introduction Ii la Mecanique Industrielle. Second Edition ed. 1839, Brussels
Bless, S., Peden, B., Guzman, I., Omidvar, M., Iskander, M.: Poncelet coefficients of granular media. In: Song, B., Casem, D., Kimberley, J. (eds.) Dynamic Behavior of Materials, vol. 1. Conference Proceedings of the Society for Experimental Mechanics Series. Springer, Cham (2014). https://doi.org/10.1007/978-3-319-00771-7_45
Bless, S.J., Omidvar, M., Iskander, M.: Poncelet coefficients for dry sand. AIP Conf. Proc. 1979(1) (2018). https://doi.org/10.1063/1.5044920
Kenneally, B., Omidvar, M., Bless, S., Iskander, M.: Observations of velocity-dependent drag and bearing stress in sand penetration. In: Dynamic behavior of materials, Volume 1: Proceedings of the 2020 Annual Conference on Experimental and Applied Mechanics, pp. 29–35. Springer (2021)
Peden, R., et al.: Photonic doppler velocimetry for study of rapid penetration into sand. Geotech. Test. J. 37(1), 139–150 (2014)
Acknowledgements
The authors gratefully acknowledge the support of the Strategic and Environmental Research and Development Program (SERDP) Project No: MR19-1277 and the Defense Threat Reduction Agency Grant No: HDTRA1-10-1-0049. Fused quartz powder used in this investigation was manufactured by Mineral Technology Corporation (Mintec). Low Color Sucrose™ used to match the granular fused quartz was manufactured by Indiana Sugars. The HX-5 high-speed camera was manufactured by NAC Image Technology Inc.
Funding
The authors thank the Strategic and Environmental Research and Development Program (SERDP) Project No: MR19-1277 and the Defense Threat Reduction Agency Grant No: HDTRA1-10-1-0049 for their support.
Author information
Authors and Affiliations
Contributions
This work was part of the first author’s dissertation at NYU conducted under the supervision of the second author. The second and third authors were Principal Investigators of the project.
Corresponding author
Ethics declarations
Conflict of interest
The authors declare that they have no conflict of interest.
Additional information
Publisher’s Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
About this article
Cite this article
Guzman, I.L., Iskander, M. & Bless, S. Visualization of impact cratering in granular media using quarter space penetration tests . Granular Matter 23, 63 (2021). https://doi.org/10.1007/s10035-021-01131-4
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/s10035-021-01131-4