Numerical modeling of projectile penetration into dry sand

Li Jie; Li Meng-shen; Li Hong; Shi Cun-cheng

doi:10.11883/1001-1455(2015)05-0633-08

Volume 35 Issue 5

Nov. 2015

Turn off MathJax

Article Contents

Article Navigation > Explosion And Shock Waves > 2015 > 35(5): 633-640

Li Jie, Li Meng-shen, Li Hong, Shi Cun-cheng. Numerical modeling of projectile penetration into dry sand[J]. Explosion And Shock Waves, 2015, 35(5): 633-640. doi: 10.11883/1001-1455(2015)05-0633-08

Citation:

Li Jie, Li Meng-shen, Li Hong, Shi Cun-cheng. Numerical modeling of projectile penetration into dry sand[J]. Explosion And Shock Waves, 2015, 35(5): 633-640. doi: 10.11883/1001-1455(2015)05-0633-08

Li Jie, Li Meng-shen, Li Hong, Shi Cun-cheng. Numerical modeling of projectile penetration into dry sand[J]. Explosion And Shock Waves, 2015, 35(5): 633-640. doi: 10.11883/1001-1455(2015)05-0633-08

Citation:

Li Jie, Li Meng-shen, Li Hong, Shi Cun-cheng. Numerical modeling of projectile penetration into dry sand[J]. Explosion And Shock Waves, 2015, 35(5): 633-640. doi: 10.11883/1001-1455(2015)05-0633-08

PDF( 1993 KB)

Numerical modeling of projectile penetration into dry sand

doi: 10.11883/1001-1455(2015)05-0633-08

Li Jie^{1, 2},
Li Meng-shen^{1, 3, 4
,
,},
Li Hong⁴,
Shi Cun-cheng^{1, 5}

1.
State Key Laboratory of Disaster Prevention and Mitigation of Explosion and Impact, PLA University of Science and Technology, Nanjing 210007, Jiangsu, China
2.
School of Mechanical Engineering, Nanjing University of Science and Technology, Nanjing 210094, Jiangsu, China
3.
Department of Airfield and Building Engineering, Air Force Engineering University, Xi'an 710038, Shaanxi, China
4.
Designing Institute of Engineering Research, Headquarters of Shenyang Military Area Command, Shenyang 110162, Liaoning, China
5.
The Second Artillery Command College, Wuhan 430012, Hubei, China

Received Date: 2014-04-04
Rev Recd Date: 2014-07-23
Publish Date: 2015-10-10

Abstract

Abstract

Assuming that sand grains are incompressible, a compaction equation for porous dry sand was derived by applying the dynamic systolic model of a spherical cavity and the generalized Mises strength criterion. Based on the Hugoniot jump condition and the Grüneisen parameter, the equation of state for dry sand was given by considering porous compaction. According to the associated flow rule, the elasto-plastic stress-strain relationships of dry sand under large deformation were obtained. By means of the dynamic finite element computing method, the above models were used to analyze the penetration process of dry sand by a projectile. The results show that the models can reflect the reverse influence of sand pore evolution on the stress-strain state in the high-velocity penetration process, and can accurately describe the dynamic response of dry sand under high-velocity penetration.
- mechanics of explosion,
- porous compaction,
- finite element,
- dry sand,
- high-velocity penetration

FullText(HTML)

References(19)

References

[1]	Allen W A, Mayfield E B, Morrison H L. Dynamics of a projectile penetration sand[J]. Journal of Applied Physics, 1957, 28(3): 370-376. doi: 10.1063/1.1722750
[2]	Allen W A, Mayfield E B, Morrison H L. Dynamics of a projectile penetration sand: Part Ⅱ[J]. Journal of Applied Physics, 1957, 28(11): 1331-1335. doi: 10.1063/1.1722645
[3]	Mesri G, Feng T W, Benak J M. Post densification penetration resistance of clean sands[J]. Journal of Geotechnical Engineering, 1990, 116(7): 1095-1115. http://www.nrcresearchpress.com/servlet/linkout?suffix=refg15/ref15&dbid=16&doi=10.1139%2ft11-098&key=10.1061%2f(asce)0733-9410(1990)116%3a7(1095)
[4]	Goldman D I, Umbanhowar P. Scaling and dynamics of sphere and disk impact into granular media[J]. Physical Review E, 2008, 77(2): 021308. doi: 10.1103/PhysRevE.77.021308
[5]	Collins A L, Addiss J W, Walley S M, et al. The effect of nose shape on the internal flow fields during ballistic penetration of sand[J]. International Journal of Impact Engineering, 2011, 38(12): 951-963. doi: 10.1016/j.ijimpeng.2011.08.002
[6]	Borg J P, Morrissey M P, Perich C A, et al. In situ velocity and stress characterization of a projectile penetrating a sand target: Experimental measurements and continuum simulations[J]. International Journal of Impact Engineering, 2013, 51(1): 23-35. http://www.sciencedirect.com/science/article/pii/S0734743X12001510
[7]	Forrestal M J, Norwood F R, Longcope D B. Penetration into targets described by locked hydrostats and shear strength[J]. International Journal of Solids and Structures, 1981, 17(9): 915-924. doi: 10.1016/0020-7683(81)90106-2
[8]	Forrestal M J, Luk V K. Penetration into soil targets[J]. International Journal of Impact Engineering, 1992, 12(3): 427-444. doi: 10.1016/0734-743X(92)90167-R
[9]	Boguslavskii Y, Drabkin S, Juran I, et al. Theory and practice of projectile's penetration in soils[J]. Journal of Geotechnical Engineering, 1996, 122(10): 806-812. doi: 10.1061/(ASCE)0733-9410(1996)122:10(806)
[10]	Salgado R, Mitchell J K, Jamiolkowski M. Cavity expansion and penetration resistance in sand[J]. Journal of Geotechnical and Geoenvironmental Engineering, 1997, 123(4): 344-354. doi: 10.1061/(ASCE)1090-0241(1997)123:4(344)
[11]	Savvateev A F, Budin A V, Kolikov V A, et al. High-speed penetration into sand[J]. International Journal of Impact Engineering, 2001, 26(1/2/3/4/5/6/7/8/9/10): 675-681. http://www.sciencedirect.com/science/article/pii/S0734743X01001324
[12]	Kotov V L, Balandin V V, Bragov A M, et al. Using a local interaction model to determine the resistance to penetration of projectiles into sandy soil[J]. Journal of Applied Mechanics and Technical Physics, 2013, 54(4): 612-621. doi: 10.1134/S0021894413040123
[13]	Onate E, Rojek J. Combination of discrete element and finite element methods for dynamic analysis of geomechanics problems[J]. Computer Methods in Applied Mechanics and Engineering, 2004, 193(27/28/29): 3087-3128. http://www.sciencedirect.com/science/article/pii/S0045782504001215
[14]	Tong X, Tuan C Y. Viscoplastic cap model for soils under high strain rate loading[J]. Journal of Geotechnical and Geoenvironmental Engineering, 2007, 133(2): 206-214. doi: 10.1061/(ASCE)1090-0241(2007)133:2(206)
[15]	Dwivedi S K, Teeter R D, Felice C W, et al. Two dimensional mesoscale simulations of projectile instability during penetration in dry sand[J]. Journal of Applied Physics, 2008, 104(8): 083502. doi: 10.1063/1.2999391
[16]	Kharab A, Hudspeth R T, Guenther R B. Penetration of cylindrical projectiles into saturated sandy media[J]. Experimental Mechanics, 2009, 49(5): 605-612. doi: 10.1007/s11340-008-9190-9
[17]	Carroll M M, Holt A C. Static and dynamic porecolapse relations for ductile porous materials[J]. Journal of Applied Physics, 1972, 43(4): 1626-1636. doi: 10.1063/1.1661372
[18]	Johnson J N. Dynamic fracture and spallation in ductile solids[J]. Journal of Applied Physics, 1981, 52(4): 2812-2825. doi: 10.1063/1.329011
[19]	Leppanen J. Dynamic behaviour of concrete structures subjected to blast and fragment impacts[D]. Sweden: Chalmers University of Technology, 2002: .