TY - JOUR
T1 - Analysis of the velocity relationship and deceleration of long-rod penetration
AU - Jiao, W. J.
AU - Chen, X. W.
N1 - Publisher Copyright:
© 2019, The Chinese Society of Theoretical and Applied Mechanics and Springer-Verlag GmbH Germany, part of Springer Nature.
PY - 2019/8/6
Y1 - 2019/8/6
N2 - The relationship between the average penetration velocity, U¯ , and the initial impact velocity, V, in long-rod penetration has been studied recently. Experimental and simulation results all show a linear relationship between U¯ and V over a wide range of V for different combinations of rod and target materials. However, the physical essence has not been fully revealed. In this paper, the U¯ - V relationship is comprehensively analyzed using the hydrodynamic model and the Alekseevskii–Tate model. In particular, the explicit U¯ - V relationships are derived from approximate solutions of the Alekseevskii–Tate model. In addition, the deceleration in long-rod penetration is discussed. The deceleration degree is quantified by a deceleration index, α=2μ¯/(KΦJp)≈Ypρp-1/2(ρp-1/2+ρt-1/2)V0-2, which is mainly related to the impact velocity, rod strength, and rod/target densities. Thus, the state of the penetration process can be identified and designed in experiments.
AB - The relationship between the average penetration velocity, U¯ , and the initial impact velocity, V, in long-rod penetration has been studied recently. Experimental and simulation results all show a linear relationship between U¯ and V over a wide range of V for different combinations of rod and target materials. However, the physical essence has not been fully revealed. In this paper, the U¯ - V relationship is comprehensively analyzed using the hydrodynamic model and the Alekseevskii–Tate model. In particular, the explicit U¯ - V relationships are derived from approximate solutions of the Alekseevskii–Tate model. In addition, the deceleration in long-rod penetration is discussed. The deceleration degree is quantified by a deceleration index, α=2μ¯/(KΦJp)≈Ypρp-1/2(ρp-1/2+ρt-1/2)V0-2, which is mainly related to the impact velocity, rod strength, and rod/target densities. Thus, the state of the penetration process can be identified and designed in experiments.
KW - Alekseevskii–Tate model
KW - Average penetration velocity
KW - Deceleration
KW - Initial impact velocity
KW - Long-rod penetration
UR - http://www.scopus.com/inward/record.url?scp=85068114770&partnerID=8YFLogxK
U2 - 10.1007/s10409-019-00862-1
DO - 10.1007/s10409-019-00862-1
M3 - Article
AN - SCOPUS:85068114770
SN - 0567-7718
VL - 35
SP - 852
EP - 865
JO - Acta Mechanica Sinica/Lixue Xuebao
JF - Acta Mechanica Sinica/Lixue Xuebao
IS - 4
ER -