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MECHANICS OF DEFORMABLE

SOLID BODY

NUMERICAL ANALYSIS OF HIGH DENSITY ALLOYS

AND ELONGATED PROJECTILES’ VELOCITY AND STRENGTH EFFECT

ON THEIR PENETRATION INTO A STEEL TARGET

S.V. Fedorov

1

,

V.A. Veldanov

1

,

V.E. Smirnov

2

1

Bauman Moscow State Technical University, Moscow, Russian Federation

e-mail:

sergfed-64@mail.ru

;

vevladi@mail.ru

2

Federal State-Funded Institution of Science Mechanical Engineering

Research Institute, Moscow, Russian Federation

e-mail:

nimi@iplipk.ru

The paper considers the impact of velocity and material strength of the elongated

projectiles made of high-density alloy on their penetration into a semi-infinite steel

target. The numerical simulation of a two-dimensional axisymmetric problem of the

continuum mechanics is provided. Projectile velocity is in the range from 1400 to

2000 mps and corresponds to the hydrodynamic mode of interaction with reduction

of the projectile length during the penetration process as a result of its material

spreading. The calculations are made with the help of the developed free Lagrangian

points computational algorithm, which allows us to simulate material response under

the conditions of explosive and shock loading. It was found out that dependence of

the projectile penetration on the projectile material yield strength is nonmonotonic

and has an extremum corresponding to penetration depth maximum. While projectile

velocity is increasing the extremum is getting less defined and is shifting towards

higher values of the yield strength.

Keywords

:

numerical simulation, elongated projectile, heavy alloy, steel target, high

velocity penetration, hydrodynamic mode.

Continuum mechanics numerical methods is an effective tool for

analyzing a high-velocity impact interaction of the materials [1]. This

article presents the results obtained during the numerical analysis of the

elongated projectile velocity and the impact of the tensile strength on

high-strength steel target penetration. Calculations were considered for

initial velocities in the range from 1400 mps to 2000 mps which determines

a hydrodynamic mode of the projectile penetration [2, 3]. In this mode

projectile material spreads along the target contact boundary since its

strength is significantly lower than mechanical stress in the contact area.

The projectile length is reducing to almost zero during the penetration

(the projectile “wears away”) [4, 5]. The analysis was carried out for

rod-shaped projectiles made of high-density materials providing a highly

effective penetration.

When a cylinder-shaped axissymmetrical projectile interacts with a

target along its front surface normal, this continuum mechanical problem

can be considered as a two-dimensional axissymmetrical problem. In a

cylindrical coordinate system (

r, z

), both the motion and the state of the

ISSN 0236-3941. HERALD of the BMSTU Series “Mechanical Engineering”. 2015. No. 1 65