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
References
N.K. Naik, S. Kumar, D. Ratnaveer, M. Joshi, and K. Akella, An Energy-Based Model for Ballistic Impact Analysis of Ceramic-Composite Armors, Int. J. Damage Mech, 2013, 22(2), p 145–187
N.K. Naik and A.V. Doshi, Ballistic Impact Behaviour of Thick Composites: Parametric Studies, Compos. Struct., 2008, 82(3), p 447–464
K.S. Pandya, C.V.S. Kumar, N.S. Nair, P.S. Patil, and N.K. Naik, Analytical and Experimental Studies on Ballistic Impact Behavior of 2D Woven Fabric Composites, Int. J. Damage Mech, 2015, 24, p 471–511
Dynamic Ceramic Ltd., Material Data Sheet, Material Properties, http://www.dynacer.com/wpcontent/themes/devvine/PDF/Material%20Properties%20datasheet.pdf. Accessed 18 April 2020
T.A. Otitoju, P.U. Okoye, G. Chen, Y. Li, M.O. Okoye, and S. Li, Advanced Ceramic Components: Materials, Fabrication, and Applications, J. Ind. Eng. Chem., 2020, 85, p 34–65
M.L.K. Brendan, J. Phillip, D. Mallick, B. Schuster, T. Sano, and J.D. Hogan, Influence of Microstructure on the Impact Failure of Alumina, Mater. Sci. Eng., A, 2020, 770, p 138549
K.S. Pandya, S. Shaktivesh, H.L. Gowtham, A. Inani, and N.K. Naik, Shear Plugging and Frictional Behaviour of Composites and Fabrics Under Quasi-static Loading, Strain Int. J. Exp. Mech., 2015, 51(5), p 419–426
K.S. Pandya and N.K. Naik, Nanoparticle Dispersed Resins and Composites Under Quasi-static Loading: Shear Plugging Behavior, Polym. Compos., 2016, 37(12), p 3411–3415
K. Akella and N.K. Naik, Composite Armour—A Review, J. Indian Inst. Sci. Multidiscip. Rev. J., 2015, 95(3), p 297–312
J.G. Hetherington and B.P. Rajagopalan, An Investigation into the Energy Absorbed During Ballistic Perforation of Composite Armours, Int. J. Impact Eng, 1991, 11(1), p 33–40
I. Horsfall and D. Buckley, The Effect of Through-Thickness Cracks on the Ballistic Performance of Ceramic Armour Systems, Int. J. Impact Eng, 1996, 18(3), p 309–318
T.P.H.N. Krishna, S. Gurusamy, S. Kumar, R. Soni, B. John, R. Vaidya, A. Bhoge, and N.K. Naik, Ballistic Impact Performance of Metallic Targets, Mater. Des., 2012, 39, p 253–263
S. Shaktivesh, N.S. Nair, C.V.S. Kumar, and N.K. Naik, Ballistic Impact Performance of Composite Targets, Mater. Des., 2013, 51, p 833–846
G. Zhu, W. Goldsmith, and C.K.H. Dharan, Penetration of Laminated Kevlar by Projectiles—I. Experimental Investigation, Int. J. Solids Struct., 1992, 29(4), p 399–420
S.T. Jenq, H.S. Jing, and C. Chung, Predicting the Ballistic Limit for Plain Woven Glass/Epoxy Composite Laminate, Int. J. Impact Eng, 1994, 15(4), p 451–464
S.V. Potti and C.T. Sun, Prediction of Impact Induced Penetration and Delamination in Thick Composite Laminates, Int. J. Impact Eng, 1997, 19(1), p 31–48
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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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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DOI: https://doi.org/10.1007/s11665-020-05041-z