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When the projectile velocity rises up to

v

0

= 2000

m/s, a rather

high yield strength of the projectile material (

σ

Y

= 1000

MPa) does not

cause any noticeable deceleration of the remaining part of the projectile

(see Fig. 6). The penetration velocity

v

0

— initial velocity

v

0

ratio at

v

0

= 2000

m/s turns out to be significantly higher than at

v

0

= 2000

m/s,

which apparently arises from the reduction of the target strength effect

during the increase of the interaction velocity. Contact stress

σ

zc

at the target

interface increases almost twofold (approximately from 4 up to 7,5 GPa)

when the interaction velocity rises from 1400 to 2000 m/s.

In the both cases this stress is much higher than the yield strength

of the projectile material which provides conditions for a hydrodynamic

penetration mode.

In general, the results of the numerical computation show that the

material strength of the elongated projectiles made of a high-density alloy

has an insignificant impact on their penetration at the interaction velocities

of 1500 m/s and higher. Therefore, it does not seem to require taking special

measures for increasing material strength up to the maximal possible limit

while developing the production process of the high-density rod-shaped

projectiles. On the contrary, the analysis showns that a very high yield

strength of the elongated projectile material may result even in a certain

decrease of the projectile penetration.

According to the results of the numerical simulation, the dependence

of the projectile penetration depth on its material yield strength is

nonmonotonic and has a poorly defined extremum corresponding to the

maximal penetration.

The work was fulfilled with the financial support of the Russian Ministry

of Education and Science. It is a part of the basic component of the state

government task for higher educational establishments.

REFERENCES

[1] Babkin A.V., Kolpakov V.I., Okhitin V.N., Selivanov V.V. Prikladnaya mekhanika

sploshnykh sred. V 3 t. T. 3. Chislennye metody v zadachakh fiziki vzryva i udara

[Applied continuum mechanics. In 3 vol. Vol. 3. Numerical methods in problems of

physics of explosion and shock]. Moscow, MGTU im. N.E. Baumana Publ., 2000.

516 p.

[2] Sagomonyan

A.Ya

. Pronikanie [Penetration]. Moscow, MGU Publ., 1974. 300 p.

[3] Fomin V.M., Gulidov A.I., Sapozhnikov G.A. Vysokoskorostnoe vzaimodeystvie tel

[High-speed interaction of bodies]. Novosibirsk, Izd. SO RAN Publ., 1999. 600 p.

[4] Alekseevskiy V.P. On the penetration of the rod into the target at high velocity.

Fiz.

Goreniya Vzryva

[Combust., Explos., Shock Waves], 1966, vol. 2, no. 2, pp. 99–106

(in Russ.).

[5] Tate A. A theory for the deceleration of long rods after impact.

J. Mech. Phys. Solids

,

1967, vol. 15, no. 6, pp. 387–399.

ISSN 0236-3941. HERALD of the BMSTU Series “Mechanical Engineering”. 2015. No. 1 79