RETRACTED ARTICLE: Penetrator strength effect in long-rod critical ricochet angle
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3D numerical simulations were performed in order to further investigate the role of penetrator strength in the interaction of long-rods and oblique targets. Three distinctive regimes resulting from oblique impact depending on the obliquity, namely simple ricochet, critical ricochet and target perforation, were investigated in detail. Critical ricochet angles were calculated with a full 3D explicit finite element method for various impact velocities and strength of target plates and projectiles.
Numerical predictions were compared with existing two-dimensional analytical models and test results. It was predicted that critical ricochet angle increases with decreasing impact velocity and that higher ricochet angles were expected if higher strength target materials are employed. But there are differences between analytical models and 3D numerical simulation results or test results. The causes for these discrepancies are established by numerical simulations which explore the validity of the penetrator strength parameter in the analytical model as a physical entity.
As a matter of fact, in this paper we first investigate the role of penetrator dynamic strength using two-dimensional simulation which resulted in different penetrator strengths out of different impact velocities. Next, by applying these amounts for penetrator strength in Rosenberg analytical model the critical ricochet angle is calculated. Finally, a comparison between the present analytical method with the 3D simulation and test results shows that the new analytical approach leads to modified results with respect to Rosenberg ones.
- J. A. Zukas, High Velocity Impact Dynamics, Wiley, (New York), (1990).
- R. M. Ogorkiewicz, Technology of Tanks, Coulsdon: Janes’s Information Group, (1991).
- W. Goldsmith and P. M. Cunningham, Kinematic Phenomena Observed During the Oblique Impact of a Sphere on a Beam, J. Appl. Mech., (Trans. ASME), (1956) 78 612.
- R. F. Recht and T. W. Ipson, The dynamics of terminal ballistics, Final Report No AD274128 (Denver: Denver Research Institute), (1962).
- S. A. Finnegan, L. F. Dimaranan, D. E. R. Heimdahl and J. K. Pringle, A study of obliquity effects on perforation and ricochet processes in thin plates impacted by compact fragments, Proc. 14th Int. Symp. Ballistics, (1993) p 661.
- A. Tate, A simple estimate of the minimum target obliquity required for the ricochet of a high speed long rod projectile, J. Phys. D: Appl. Phys., (1979) 12 1825. CrossRef
- Z. Rosenberg, Y. Yeshurun and M. Mayseless, On the. Ricochet of long rod projectiles, Proc. 11th Int. Symp. Ballistics, (1989) p. 501.
- H. Senf, H. Rothenhausler, F. Scharpf, A. Both and W. Pfang, Experimental and numerical investigation of the ricocheting of projectiles from metallic surfaces, Proc. 6th Int. Symp. Ballistics, (1981) p. 510.
- J. A. Zukas and B. Gaskill, Ricochet of deforming projectiles from deforming plates, Int. J. Impact Eng. (1996) 18 601. CrossRef
- W. Johnson, A. K. Sengupta and Ghosh, High velocity oblique impact and ricochet mainly of long rod projectile: an overview, Int. J. Mech. Sci., (1981) 24 425. CrossRef
- W. Johnson, A. K. Sengupta and Ghosh, Plasticine modeled high velocity oblique impact and ricochet of long-rods, Int. J. Mech. Sci., (1981) 24 437–455. CrossRef
- S. R. Reid, A. J. Edmonds and W. Johnson, Bending of long steel and aluminum rods during end impact with a rigid target, J. Mech. Eng. Sci., (1981) 23 85. CrossRef
- G. H. Jonas and J. A. Zukas, Mechanics of penetration: analysis and experiment, Int. J. Eng. Sei., (1978) 16 879. CrossRef
- A. Tate, A theory for the deceleration of long rods after impact, J. Mech. Phys. Solids., (1967) 15 387. CrossRef
- A. Tate, Further results in the theory of long rod penetration, J. Mech. Phys. Solids, (1969) 17 141–150. CrossRef
- A. Tate, A simple estimate of the minimum target obliquity required for the ricochet of a high speed long rod projectile. Int. J. Mech. Sci., (1977), 19, 661–671. CrossRef
- W. Goldsmith and S. A. Finnegan, Normal and oblique impact of cylindro-conical and cylindrical projectiles on metallic plates, Int. J. Impact Eng., (1986) 4 83. CrossRef
- E. Roecker and C. Grabarek, The Effect of Yaw and Pitch on Long Rod Penetration into Rolled Homogeneous Armor at Various Obliquities, Proc. 9th Int. Symp. Ballistics, (1986) 2 467–473.
- J. Falcovitz, M. Mayseless, Z. Tauber, D. Keck, R. Kennedy, K. Ofstedhal and P. Sing, A Computer Model for Oblique Impact of a Rigid Projectile at Ductile Layered Targets, Proc. 11th Int. Symp. Ballistics, (1989) p. 311.
- G. R. Johnson, R. A. Stryk, T. J. Holmquist and O. A. Souka, Recent EPIC code developments for high velocity impact: 3D element arrangements and 2D fragment distributions, Int J Impact Eng, (1990), 281–294.
- I. G. Cullis and N. J. Lynch, Performance of model scale long rod projectiles against complex targets over the velocity range 1700–2200 m/s, Int. J. Impact Eng., (1995) 17 263–274. CrossRef
- G. Luttwak, Z. Rosenberg and Y. Kivity, Long rod penetration in oblique impact, AlP Conf Proc. (1996).
- E. Pierazzo and H. J. Melosh, Understanding oblique impacts from experiments, observations, and modeling, Ann. Rev. Earth Planet. Sei., (2000) 28 141–167. CrossRef
- V. Hohler and A. J. Stilp, Interferometric Investigation of Rod Deceleration During Impact Process, Proc. 6th Int. Symp. Ballistics, (1981) p. 333.
- G. F. Sislby, Penetration of semi-infinite steel targets by tungsten rods at 1.3 to 4.5 lcds, Proc. 8th Int. Symp. Ballistics, (1984) p. 31.
- D. J. Cagliostro, D. A. Mandell, L. A. Schwalbe, T. F. Adams and E. J. Chapyak, Armor penetration by projectile with combined obliquity and yaw, Int. J. Impact Eng., (1990) 10 81–92. CrossRef
- T. W. Bjerke, G. F. Silsby, D. R. Scheffler and R. M. Mudd, Yawed long-rod armor penetration, Int. J. Impact Eng., (1992) 12 281–292. CrossRef
- Y. I. Bukharev and V. I. Zhukov, Model of the penetration of a metal barrier by a rod projectile with an angle of attack, Combustion, Explosion and Shock Waves, Comb. Expl. Shock Waves (Fiz. Goren. Vzryva), (1995) 31 362. CrossRef
- W. Goldsmith, E. Tam and D. Tomer, Yawing impact on thin plates by blunt projectiles, Int. J. Impact Eng., (1995) 16 479–498. CrossRef
- C. E. Anderson, S. J. Bless, T. R. Sharron, S. Satapathy and M. J. Normandia, Investigation of yawed impact into a finite target, AlP Conf Proc., (1998) p. 925.
- M. Lee and S. J. Bless, Cavity models for solid and hollow projectiles, AlP Conf Proc., (1998) 925–928.
- C. Zienkiewicz and R. L. Taylor, The Finite Element Method 4th edn, McGraw-Hill, (New York), (1991) vol 2.
- T. Belytschko, W. K. Liu and B. Morgan, Nonlinear Finite Elements for Continua and Structures, Wiley, (New York), (2000).
- W. Goldsmith, Non-ideal projectile impact on targets, Int. J. Impact Eng, (1999). 22 95–395. CrossRef
- US DoD Armour Plate, Steel, Wrought, Homogeneous Military Specification MIL-A-12560H (Amendment 3), (2000).
- G. R. Johnson and W. H. Cook, A constitutive model and data for metals subjected to large strains, high strain rates and high temperatures. Proceedings of the 7th International Symposium on Ballistics, (1983) p. 541.
- M. A. Meyers, Dynamic Behavior of Materials Wiley, (New York), (1994). CrossRef
- LsDyna User’s Manual version 970, (Livermore Software Technology Corporation), (2007).
- Z. Rosenberg and E. Dekel, A computational study of the relations between material properties of long-rod penetrators and their ballistic performance, Int. J. Impact Eng, (1998), 21 283–296. CrossRef
- C. E. Anderson, J. D. Walker, S. J. Bless and Y. Partom, On the L/D effect for long-rod penetrators, Int. J. Impact Eng, (1996). 18 247–264. CrossRef
- C. E. Anderson and J. D. Walker, An examination of long-rod penetration, Int. J. Impact Eng, (1991) 11 481 501. CrossRef
- C. E. Anderson, J. D. Walker and G. E. Hauver, Target resistance for long-rod penetration into semi-infinite targets, Nucl. Eng, (1992) 138 p. 93–104. CrossRef
- L. Woong, J. L. Heon and S. Hyunho, Ricochet of a tungsten heavy alloy long-rod projectile from deformable steel plates, Int. J. Appl,Phys, (2002) 35.
- RETRACTED ARTICLE: Penetrator strength effect in long-rod critical ricochet angle
Journal of Mechanical Science and Technology
Volume 22, Issue 11 , pp 2076-2089
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