Phenomenological Model of Perforation Ceramic Plates
Authors: Kobylkin I.F., Gorbatenko A.A. | Published: 06.12.2016 |
Published in issue: #6(111)/2016 | |
Category: Mechanics | Chapter: Mechanics of Deformable Solid Body | |
Keywords: ceramic target, conical crack, penetration, limit velocity, energetic fracture criterion |
The research proposes a model of perforation the ceramic plates with the widening taper breach. The model allows us to determine the taper angle, that depends on the strength characteristics of ceramics and the ratio of the ceramic layer thickness and the diameter of the firing pin. The study showed that the main reason for such type of ceramic fracture is considerably lower ceramics tensile strength compared to its compressive strength. By using energetic fracture criterion, we developed a method for calculating the limit velocity for penetrating the ceramic target. Two-dimensional numerical simulation of the steel firing pins impact on corundum targets showed a satisfactory agreement between the calculated and experimentally obtained taper cracks configurations. This agreement takes place only if the compressive strength and tensile strength limit values are chosen in accordance with the developed model recommendations.
References
[1] Kobylkin I.F., Selivanov V.V. Materialy i struktury legkoy bronezashchity [Light armor materials and structures]. Moscow, Bauman MSTU Publ., 2014. 191 p.
[2] Rosenberg Z., Dekel E. Terminal ballistic. Berlin, Springer-Verlag, 2012. 323 p.
[3] Bhatnagar A., ed. Lightweight ballistic composites. Cambrige, Woodhead Publishing Ltd., 2006. 429 p. (Russ. ed.: Legkie ballisticheskie materialy. Moscow, Tekhnosfera Publ., 2011. 392 p.).
[4] Grigoryan V.A., Beloborod’ko A.N., Kobylkin I.F., Dorokhov N.S. Chastnye voprosy konechnoy ballistiki [Private final ballistics questions]. Moscow, Bauman MSTU Publ., 2006. 592 p.
[5] Cherepanov G.P. Mekhanika khrupkogo razrusheniya [Mechanics of brittle fracture]. Moscow, Nauka Publ., 1974. 640 p.
[6] Orlenko L.P., ed. Fizika vzryva. T. 2 [Explosion physics. Vol. 2]. Moscow, Fizmatlit Publ., 2002. 656 p.
[7] Danilin G.A., Ogorodnikov V.P., Zavolokin A.B. Osnovy proektirovaniya patronov k strelkovomu oruzhiyu [Basics of designing cartridges for small arms]. Sankt-Petersburg, Balt. GTU Publ., 2005. 374 p.
[8] Wilkins M.L. Computer simulation of penetration phenomena. Ballistic materials and penetration mechanics. Elsevier, 1980. P. 225-252.
[9] Hazel P.J. Armour. Material, theory and design. Boca Raton: CRC Press, 2016. 395 p.
[10] Autodyn. Interactive non-linear analysis software. Theory Manual. Century Dynamics inc., 1998. 244 p.
[11] Johnson C.R., Holmquist T.J. An improved computational constitutive model for brittle materials. Joint AIRA/APS Conference "High Pressure Science and Technology", Colorado Springs, 1993.