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Performance of Ceramic-Composite Armors under Ballistic Impact Loading

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Abstract

Analysis of typical ceramic-composite armors is presented for their ballistic impact performance. Specifically, armor configurations are given for enhancing ballistic limit velocity with minimum armor areal density. The studies are performed using the analytical model presented earlier (Naik et al. in Int J Damage Mech 22(2):145–187, 2013). Wave theory and energy balance between the kinetic energy of the moving projectile and the energy absorbed by different mechanisms by both the armor and the projectile are considered. Analytical predictions and typical experimental results available in the literature are compared. A good match is observed. It is observed that in certain range of armor areal density, ballistic limit velocity remains the same. The explanation for such a behavior is provided considering different major energy absorbing mechanisms at different areal densities of the armor. Further, effects of armor configuration, incident impact velocity and ceramic plate material on ballistic impact performance are presented. Among the ceramic plate materials considered, alumina 99.9% gives higher ballistic limit velocity.

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Abbreviations

AD:

Areal density of armor

A ql :

Quasi-lemniscate factor of composite backing plate

dP:

Diameter of projectile

E :

Total energy absorbed/energy absorbed

E m :

Modulus of elasticity

E mc :

Matrix cracking energy of composite backing plate

\( E_{x}^{\text{b}} \) :

In-plane modulus of backing plate

\( E_{z}^{\text{b}} \) :

Modulus in thickness direction of backing plate

\( G_{\text{IIc}}^{\text{b}} \) :

Strain energy release rate, mode II of backing plate

h :

Armor total thickness

h m :

Thickness of plate/layer

hI :

Layer thickness of composite backing plate

\( K_{{1{\text{c}}}}^{\text{c}} \) :

Fracture toughness

L :

Length of projectile

m p :

Mass of projectile

P d :

Delamination percentage of composite backing plate

P m :

Matrix cracking percentage of composite backing plate

s :

Second

\( Y_{\text{c}}^{\text{c}} \) :

Compressive strength of ceramic

SPm :

Shear plugging strength

t :

Time interval

T :

Contact duration

V :

Incident impact velocity

V r :

Residual velocity

V BL :

Ballistic limit velocity

\( V_{\text{f}}^{0} \) :

Fiber volume fraction

\( X_{\text{c}}^{\text{p}} \) :

Compressive strength of projectile

\( Y_{\text{t}}^{\text{c}} \) :

Tensile strength of ceramic

\( Y_{\text{c}}^{\text{b}} \) :

Compressive strength of backing plate

\( Y_{\text{t}}^{\text{b}} \) :

Tensile strength of backing plate

\( \varepsilon_{\text{cf}}^{\text{b}} \) :

% Compressive failure strain in thickness direction of composite backing plate

\( \varepsilon_{\text{cf}}^{\text{c}} \) :

% Compressive failure strain of ceramic

\( \varepsilon_{\text{tf}}^{\text{c}} \) :

% Tensile failure strain of ceramic

\( \varepsilon_{\text{cf}}^{\text{p}} \) :

% Compressive failure strain of projectile

\( \varepsilon_{\text{cf}}^{\text{r}} \) :

% Compressive failure strain of rubber

\( \varepsilon_{{x{\text{tf}}}}^{\text{b}} \) :

% In-plane tensile failure strain of composite backing plate

ρ m :

Density

\( \mu^{\text{m}} \) :

Poisson’s ratio

m > b:

Refers to composite backing plate

m > c:

Refers to ceramic plate

m > f:

Refers to front composite cover layer

m > p:

Refers to projectile

m > r:

Refers to rubber layer

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Acknowledgments

The initial part of this work was supported by R & D Establishment (Engineers), DRDO, Pune.

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This research received no specific Grant from any funding agency in the public, commercial or not-for-profit sectors.

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Correspondence to Santosh Kumar.

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Kumar, S., Akella, K., Joshi, M. et al. Performance of Ceramic-Composite Armors under Ballistic Impact Loading. J. of Materi Eng and Perform 29, 5625–5637 (2020). https://doi.org/10.1007/s11665-020-05041-z

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