For ideal long-rod penetration, by analyzing the approximate solutions of the Alekseevskii-Tate model for long-rod penetration, it is pointed out that the single deceleration index α is not sufficient to fully describle the quasi-steady process of long-rod penetration. This paper redefines two dimensionless parameters, namely Johnson demage parameter ΦJp and characteristic time parameter β, and α=β/ΦJp. The analysis shows that two characteristic parameters ΦJp and β (or α and β) can completely characterize the impact velocity of the projectile tail in the quasi-steady process of long-rod penetration. If the dimensionless critical impact velocity vc* is introduced, the quasi-steady process of long-rod penetration can be fully characterized. In addition, this paper strictly proves that the degree of deviation from the steady state in the penetration process can be determined by α, and confirms that by determining ΦJp and β (or α and β), the design of long-rod penetration can be guided for offensive and defensive needs.
JIAO W J, CHEN X W. Review on long-rod penetration at hypervelocity [J]. Advances in Mechanics, 2019, 49(1): 312–391. DOI: 10.6052/1000-0992-17-021.
[2]
ALLEN W A, ROGERS J W. Penetration of a rod into a semi-infinite target [J]. Journal of the Franklin Institute, 1961, 272(4): 275–284. DOI: 10.1016/0016-0032(61)90559-2.
[3]
ALEKSEEVSKII V P. Penetration of a rod into a target at high velocity [J]. Combustion, Explosion and Shock Waves, 1966, 2(2): 63–66. DOI: 10.1007/BF00749237.
[4]
TATE A. A theory for the deceleration of long rods after impact [J]. Journal of the Mechanics and Physics of Solids, 1967, 15(6): 387–399. DOI: 10.1016/0022-5096(67)90010-5.
[5]
TATE A. Further results in the theory of long rod penetration [J]. Journal of the Mechanics and Physics of Solids, 1969, 17(3): 141–150. DOI: 10.1016/0022-5096(69)90028-3.
[6]
焦文俊. 长杆高速侵彻的1D和2D理论模型 [D]. 合肥: 中国科学技术大学, 2019.
[7]
JIAO W J, CHEN X W. Analysis of the velocity relationship and deceleration of long-rod penetration [J]. Acta Mechanica Sinica, 2019, 35(4): 852–865. DOI: 10.1007/s10409-019-00862-1.
[8]
JIAO W J, CHEN X W. Approximate solutions of the Alekseevskii-Tate model of long-rod penetration [J]. Acta Mechanica Sinica, 2018, 34(2): 334–348. DOI: 10.1007/s10409-017-0672-9.
[9]
WALTERS W, WILLIAMS C, NORMANDIA M. An explicit solution of the Alekseevski-Tate penetration equations [J]. International Journal of Impact Engineering, 2006, 33(1−12): 837–846. DOI: 10.1016/j.ijimpeng.2006.09.057.
[10]
ANDERSON Jr C E, WALKER J D. An examination of long-rod penetration [J]. International Journal of Impact Engineering, 1991, 11(4): 481–501. DOI: 10.1016/0734-743X(91)90015-8.
DownLoad:
