مهندسی مکانیک مدرس

مهندسی مکانیک مدرس

بررسی تحلیلی و عددی ضربه بالستیک در اهداف ترکیبی به همراه اصلاحات تحلیلی

نوع مقاله : پژوهشی اصیل

نویسندگان
گروه مهندسی مکانیک، دانشکده فنی و مهندسی برق، کامپیوتر و مکانیک، دانشگاه ایوان‌کی، ایوان‌کی، ایران
چکیده
در مکانیک ضربه، اهداف ترکیبی به‌علت بالابودن مقاومت در برابر نفوذ پرتابه‌ها، اهمیت ویژه‌ای دارند. در این مقاله به بررسی تحلیلی و عددی نفوذ پرتابه‌هایی از جنس تانتالیوم در اهداف نیمه‌بی‌نهایت ترکیبی سرامیک- فلز پرداخته ‌شده است. در بخش تحلیلی ضمن بررسی مدل تحلیلی فلوز به ارایه یک مدل تحلیلی اصلاحی جدید نیز پرداخته ‌شده است. اصلاحات انجام‌شده در مدل تحلیلی فلوز شامل تغییر سرعت پرتابه و سرامیک، زاویه و زمان تشکیل مخروط سرامیکی، فرسایش سرامیک، پرتابه و پشتیبان است. هر کدام از این اصلاحات به‌تنهایی موجب کاهش یا افزایش عمق نفوذ می‌شود و انجام همه این اصلاحات با هم موجب بهبود عمق نفوذ شده است. بررسی عددی با استفاده از نرم‌افزار آباکوس انجام‌ شده است. رفتار پرتابه، سرامیک و آلومینیوم براساس رفتار واقعی مواد و تغییر شکل‌پذیر مدل شده است. رفتار پرتابه و پشتیبان با معادلات جانسون- کوک و رفتار سرامیک با معادلات پلاستیسیته دراکر- پراگر و معادله حالت مای- گرونیزن مدل‌سازی شده است. نتایج مدل تحلیلی اصلاحی جدید و شبیه‌سازی عددی با نتایج تحلیلی سایر نویسندگان و آزمایش‌های تجربی مقایسه شده است. نتایج به‌دست‌آمده نشان‌دهنده تطابق بسیار خوبی بین نتایج است. مدل تحلیلی اصلاحی جدید، با رفع نواقص مدل فلوز، پیش‌بینی دقیق‌تری از عمق نفوذ پرتابه در اهداف ترکیبی سرامیک- فلز دارد و ضعف این مدل را که مربوط به عدم پیش‌بینی عمق نفوذ در سرعت‌های پایین است، برطرف کرده است.
کلیدواژه‌ها

موضوعات


عنوان مقاله English

Analytical and Numerical Investigation of Ballistic Impact into Layered Targets with Analytical Modifications

نویسندگان English

M. Sayah Badkhor
M. Agha Mola Tehrani
T. Mirzababaie Mostofi
A. Naddaf Oskouei
Mechanical Engineering Department, Faculty of Electrical, Mechanical & Computer Engineering, University of Eyvanekey, Eyvanekey, Iran
چکیده English

In impact mechanics, layered targets are important due to their high resistance to projectiles penetration. This paper deals with the analytical and numerical analysis of the penetration of tantalum projectiles on semi-infinite ceramic-metal layered targets. In the analytical study, a new modified analytical model based on the analytical model of Fellows is presented. The modifications made to the Fellows analytical model include the changes of velocity of the projectile and ceramic, the angle and timing of the formation of the ceramic cone, the erosion of ceramic, projectile and backing. Each of these modifications alone reduces or increases the depth of penetration, and all of these modifications together improve the depth of penetration. Numerical analysis is done using Abaqus software. The behavior of projectile, ceramic, and aluminum is modeled on the actual behavior of the materials and the deformation. The projectile and backing behavior is modeled with the Johnson-Cook equations and the ceramic behavior with the Drucker-Prager plasticity equation and the state equation of Mie-Gruneisen. The results of the new correction analytical model and numerical simulation are compared with the results of other authors and experimental data. The results show very good agreement. The new modified analytical model, by removing the Fellows model defects, provides a more accurate prediction of the depth of projectile penetration in the ceramic-metal layered targets. So, the weakness of this model, which is related to the unpredictability of penetration depth at low speeds, has been remedied.

کلیدواژه‌ها English

analytical model
Numerical simulation
Layered Targets
Ceramic-Metal
Penetration Depth
Wilkins ML. Mechanics of penetration and perforation. International Journal of Engineering Science. 1978;16(11):793-807. [Link] [DOI:10.1016/0020-7225(78)90066-6]
Bless SJ, Rosenberg Z, Yoon B. Hypervelocity penetration of ceramics. International Journal of Impact Engineering. 1987;5(1-4):165-171. [Link] [DOI:10.1016/0734-743X(87)90036-4]
Fellows NA, Barton PC. Development of impact model for ceramic-faced semi-infinite armour. International Journal of Impact Engineering. 1999;22(8):793-811. [Link] [DOI:10.1016/S0734-743X(99)00017-2]
Shokrieh MM, Javadpour GH. Penetration analysis of a projectile in ceramic composite armor. Composite Structures. 2008;82(2):269-276. [Link] [DOI:10.1016/j.compstruct.2007.01.023]
Fawaz Z, Zheng W, Behdinan K. Numerical simulation of normal and oblique ballistic impact on ceramic composite armours. Composite Structures. 2004;63(3-4):387-395. [Link] [DOI:10.1016/S0263-8223(03)00187-9]
Baker WE, Westine PS, Dodge FT. Similarity methods in engineering dynamics: Theory and practice of scale modeling. Unknown City: Hayden Book; 1973. [Link]
Khodadadi A, Liaghat G, Akbari MA, Tahmasebi Abdar M. Numerical and experimental analysis of penetration into Kevlar fabrics and investigation of the effective factors on the ballistic performance. Modares Mechanical Engineering. 2014;13(12):124-133. [Persian] [Link]
Palmer SJP, Field JE, Huntley JM. Deformation, strengths and strains to failure of polymer bonded explosives. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. 1993;440(1909):399-419. [Link] [DOI:10.1098/rspa.1993.0023]
Liaghat GH, Shanazari H, Tahmasebi M, Aboutorabi A, Hadavinia H. A modified analytical model for analysis of perforation of projectile into ceramic composite targets. International Journal of Composite Materials. 2013;3(6B):17-22. [Link]
Goldsmith W. Non-ideal projectile impact on targets. International Journal of Impact Engineering. 1999;22(2-3):95-395. [Link] [DOI:10.1016/S0734-743X(98)00031-1]
Børvik T, Clausen AH, Hopperstad OS, Langseth M. Perforation of AA5083-H116 aluminium plates with conical-nose steel projectiles-experimental study. International Journal of Impact Engineering. 2004;30(4):367-384. [Link] [DOI:10.1016/S0734-743X(03)00072-1]
Ni C, Hou R, Han B, Jin F, Ma G, Lu TJ. Normal and oblique projectile impact of double-layered pyramidal lattice trus structures filed with ceramic insertions. Journal of Thermoplastic Composite Materials. 2017;30(8):1136-1156. [Link] [DOI:10.1177/0892705715618739]
Anderson CE, Riegel JP. A penetration model for metallic targets based on experimental data. International Journal of Impact Engineering. 2015;80:24-35. [Link] [DOI:10.1016/j.ijimpeng.2014.12.009]
Tahmaseiabdar M, Liaghat GH, Shanazari H, Khodadadi A, Hadavinia H, Abotorabi A. Analytical and numerical investigation of projectile perforation into ceramic-metal targets and presenting a modified theory. Modares Mechanical Engineering. 2015;15(9):353-359. [Persian] [Link]
Babaei H, Mirzababaei Mostofi T, Alitavoli M. Experimental and analytical investigation into large ductile transverse deformation of monolithic and multi-layered metallic square targets struck normally by rigid spherical projectile. Thin-Walled Structures. 2016;107:257-265. [Link] [DOI:10.1016/j.tws.2016.06.013]
Mirzababaei Mostofi T, Babaei H, Alitavoli M, Hosseinzadeh S. On dimensionless numbers for predicting large ductile transverse deformation of monolithic and multi-layered metallic square targets struck normally by rigid spherical projectile. Thin-Walled Structures. 2017;112:118-124. [Link] [DOI:10.1016/j.tws.2016.12.014]
Venkatesan J, Iqbal MA, Madhu V. Ballistic performance of bilayer alumina/aluminium and silicon carbide/aluminium armours. Procedia Engineering. 2017;173:671-678. [Link] [DOI:10.1016/j.proeng.2016.12.141]
Li JC, Chen XW. Theoretical analysis of projectile-target interface defeat and transition to penetration by long rods due to oblique impacts of ceramic targets. International Journal of Impact Engineering. 2017;106:53-63. [Link] [DOI:10.1016/j.ijimpeng.2017.03.013]
Bresciani LM, Manes A, Giglio M. An analytical model for ballistic impacts against ceramic tiles. Ceramics International. 2018;44(17):21249-21261. [Link] [DOI:10.1016/j.ceramint.2018.08.172]
Bavdekar S, Subhash G, Satapathy S. A unified model for dwell and penetration during long rod impact on thick ceramic targets. International Journal of Impact Engineering. 2019;131:304-316. [Link] [DOI:10.1016/j.ijimpeng.2019.05.014]
Sayahbadkhor M, Vahedi k, Naddaf Oskouei AR. Presenting a modified theory and analytical investigation of projectile penetration into ceramic-metal semi-infinite targets. Journal of Solid and Fluid Mechanics. 2019;9(2):31-45. [Persian] [Link]
Sayahbadkhor M, Naddaf Oskouei AR, Vahedi K. Evaluation of the projectile penetration models in the metal and ceramic targets. Journal of Solid and Fluid Mechanics. 2019;9(4):77-92. [Persian] [Link]
Sayah-Badkhor M, Naddaf-Oskouei A, Kashani D, Agha Mola Tehrani M. Experimental and numerical investigation of ballistic impact on ceramic-metal combined targets with different nosed projectiles. Modares Mechanical Engineering. 2020;20(3):677-687. [Persian] [Link]
Sayahbadkhor M, Vahedi K, Naddaf Oskouei A. New analytical model presentation and numerical investigation of ballistic impact on ceramic/metal semi-infinite perforated targets. Modares Mechanical Engineering. 2020;20(5):1127-1143. [Persian] [Link]
Tate A. A theory for the deceleration of long rods after impact. Journal of the Mechanics and Physics of Solids. 1967;15(6):387-399. [Link] [DOI:10.1016/0022-5096(67)90010-5]
Zaera R, Sánchez-Gálvez V. Analytical modelling of normal and oblique ballistic impact on ceramic/metal lightweight armours. International Journal of Impact Engineering. 1998;21(3):133-148. [Link] [DOI:10.1016/S0734-743X(97)00035-3]
Johnson GR, Cook WH. A constitutive model and data for metals subjected to large strains, high strain rates and high temperatures. In proceedings of the 7th International Symposium on Ballistics. 19-21 April 1983, Hague, Netherlands. Wuhan: Scientific Research;1983. [Link]
Johnson GR, Cook WH. Fracture characteristics of three metals subjected to various strains, strain rates, temperatures and pressures. Engineering Fracture Mechanics. 1985;21(1):31-48. [Link] [DOI:10.1016/0013-7944(85)90052-9]
List G, Sutter G, Arnoux JJ. Analysis of the high speed sliding interaction between titanium alloy and tantalum. Wear. 2013;301(1-2):663-670. [Link] [DOI:10.1016/j.wear.2012.11.070]
Johnson GR, Holmquist TJ. An improved computational constitutive model for brittle materials. AIP Conference Proceedings. 2008;309(1):1.46199. [Link]
Nordendale NA. Modeling and simulation of brittle armors under impact and blast effects. Nashville: Vanderbilt University; 2013. [Link]
Holmquist TJ, Templeton DW, Bishnoi KD. A ceramic armor material database. US: Tacom Research Development and Engineering Center; 1999. [Link]
Mcintosh G. The Johnson-Holmquist ceramic model as used in LS-DYNA2D [dissertation]. Ottawa: Defence Research and Development Canada; 1998. [Link]
Westerling L. Interaction of cylindrical penetrators with ceramic and electromagnetic armour [dissertation]. Uppsala: Acta Universitatis Upsaliensis; 2013. [Link]
Woodward RL. A simple one-dimensional approach to modelling ceramic composite armour defeat. International Journal of Impact Engineering. 1990;9(4):455-474. [Link] [DOI:10.1016/0734-743X(90)90035-T]