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Analysis of liner effect on shaped charge penetration into thick concrete targets

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Abstract

In this paper, the penetration performance of shaped charge in tandem warhead with different liner materials into thick concrete targets is investigated. For this purpose, the penetration process and the damage mechanism of concrete target by shaped charges with two different liner materials are analyzed by experimental and numerical methods. The used materials for two liners are aluminum and copper. Comparison between experimental and numerical results is in good agreement with each other. The obtained results suggest that both types of shaped charge are capable of destroying thick concrete targets, but aluminum conical liner has more significant effect in creating penetration depth, tunnel diameter rather than copper conical liner. Also, the shaped charge with aluminum conical liner develops very large spalling and scabbing area in the front and back of the concrete target. Hence a shaped charge with aluminum material liner is quite suitable for forward projectile of tandem warhead.

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Abbreviations

A :

Material constant in Johnson–Cook material model

A e :

Specific constant in explosive material

A h :

Material constant in Johnson–Holmquist material model

a :

Volumetric modification coefficient

B :

Material constant in Johnson–Cook material model

B e :

Specific constant in explosive material

B h :

Material constant in Johnson–Holmquist material model

C :

Material constant in Johnson–Cook material model

C h :

Material constant in Johnson–Holmquist material model

C v :

Volumetric speed of sound or the intercept of the \(U_{\text{S}} - U_{\text{P}}\) curve

D :

Damage parameter

D 1, D 2 :

Damage constant in Johnson–Holmquist model

d 1, d 2, d 3, d 4, d 5 :

Material constants in Johnson–Cook material model

\(E\) :

Internal energy

\(f_{\text{c}}\) :

Unconfined compressive strength of concrete

F :

Fraction burn parameter

K 1, K 2, K 3 :

Pressure constant in Johnson–Holmquist material model

M :

Material constant in Johnson–Cook material model

N :

Material constant in Johnson–Cook material model

\(N_{\text{h}}\) :

Material constant in Johnson–Holmquist material model

P :

Applied pressure

\(P_{\text{eos}}\) :

Pressure of the equation of state

\(P_{{}}^{*}\) :

Normalized pressure

\(P_{\text{lock}}\) :

EOS constant (locking pressure) in JC material

R 1, R 2,:

Specific constants of explosive material

\(S_{1} , \;S_{2} ,\;S_{3}\) :

First, second, and third coefficients in curve slope of \(U_{\text{S}} - U_{\text{P}}\)

\(T_{\text{ref}}\) :

Surrounding temperature

\(T_{\text{melt}}\) :

Melting temperature

\(T^{*}\) :

Dimensionless temperature

\(U_{\text{S}}\) :

Wave speed

\(U_{\text{P}}\) :

Particle speed

\(\acute{V}\) :

Dependent volume

\(\gamma_{0}\) :

Gruneisen coefficient

\(\dot{\varepsilon }\) :

Actual strain rate

\(\varepsilon_{ij}^{\prime }\) :

Deviatoric strain rate

\(\dot{\varepsilon }_{0}\) :

Reference strain rate

\(\dot{\varepsilon }^{*}\) :

Dimensionless strain rate

\(\varepsilon_{\text{f}}\) :

Fracture strain

\(\bar{\varepsilon }_{\text{p}}\) :

Effective plastic strain

\(d\bar{\varepsilon }^{\text{p}}\) :

Change in the effective plastic strain

\(\Delta \varepsilon_{\text{p}}\) :

Incremental equivalent plastic strain

\(\mu_{\text{crush}}\) :

EOS constant (crushing volumetric strain)

\(\mu_{\text{lock}}\) :

EOS constant (locking volumetric strain)

\(\bar{\mu }\) :

Volumetric strain

\(\mu_{\text{v}}\) :

Fluid’s viscosity coefficient

\(\Delta \mu_{\text{p}}\) :

Incremental plastic volumetric strain

\(\rho\) :

Current density

\(\rho_{0}\) :

Initial density

\(\sigma\) :

Actual equivalent stress,

\(\sigma_{ij}\) :

Components of stress tensor

\(\bar{\sigma }\) :

Effective stress

\(\acute{\sigma_{ij}}\) :

Deviatoric stresses

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Authors and Affiliations

  1. Department of Mechanical Engineering, Tarbiat Modares University, Tehran, Iran

    Nasser Dashtian Gerami, Gholam Hossein Liaghat & Gholam Hossein Rahimi Sharbaf Moghadas

  2. Department of Mechanical Engineering, Islamshahr Branch, Islamic Azad University, Islamshahr, Iran

    Najmeh Khazraiyan

Authors
  1. Nasser Dashtian Gerami
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  2. Gholam Hossein Liaghat
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  3. Gholam Hossein Rahimi Sharbaf Moghadas
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  4. Najmeh Khazraiyan
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Correspondence to Nasser Dashtian Gerami.

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Technical Editor: Eduardo Alberto Fancello.

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Gerami, N.D., Liaghat, G.H., Moghadas, G.H.R.S. et al. Analysis of liner effect on shaped charge penetration into thick concrete targets. J Braz. Soc. Mech. Sci. Eng. 39, 3189–3201 (2017). https://doi.org/10.1007/s40430-017-0797-6

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  • DOI: https://doi.org/10.1007/s40430-017-0797-6

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