Shock response and evolution mechanism of brittle material containing micro-voids

Yu Yin; He Hong-Liang; Wang Wen-Qiang; Lu Tie-Cheng

doi:10.7498/aps.63.246102

Abstract

Micro-voids significantly affect shock responses of brittle materials. Knowledge about the meso-scale evolution mechanism and macro-scale shock behavior will help to utilize micro-void in applications and avoid its disadvantages. A lattice-spring model, which can represent both elastic property and fracture evolution accurately, is built in this work. Simulations reveal that severe stress relaxation, which is contributed from collapse deformation induced by voids and slippage deformation induced by shear cracks extending from voids, modulates the propagation of shock wave. In a porous brittle material, the shock wave broadens into an elastic wave and a deformation wave. On a macro-scale, the deformation wave behaves as a plastic wave in ductile metal; on a meso-scale, it corresponds to the processes of collapse and slippage deformations. It is found that porosity of the sample determines the Hugoniot elastic limit of material; whereas the porosity and shock stress affect the propagation speed of the deformation wave and stress amplitude in a final state of shock. Brittle materials containing micro-voids have potential applications in complex shock loading experiments, precaution of shock induced function failure, and crashworthiness of buildings. Shock behaviors reported in this work will benefit the design and optimization of shock responses and dynamic mechanical properties of brittle materials used in specific applications.

Keywords:

Authors and contacts

1.
Key Laboratory for Radiation Physics and Technology of Ministry of Education, Department of Physics, Sichuan University, Chengdu 610064, China;
2.
National Key Laboratory of Shock Wave and Detonation Physics, Institute of Fluid Physics, China Academy of Engineering Physics, Mianyang 621900, China
Funds: Project supported by the National Key Laboratory of Shock Wave and Detonation Physics of China Academy of Engineering Physics (Grant No. 2012-zhuan-03), the Foundation of National Key Laboratory of Shock Wave and Detonation Physics, China (Grant No. 9140C670301120C67248), and the National Natural Science Foundation of China (Grant No. 11272164).

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[24]	Buxton G A, Care C M, Cleaver D J 2001 Modelling Simul Mater. Sci. Eng. 9 485
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[34]	Grady D E 1998 Mech. Mater. 29 181
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Cited By

[1]	Wada T, Inoue A, Greer A L 2005 Appl. Phys. Lett. 86 251907
[2]	Sarac B, Schroers J 2013 Nat. Commun. 4 2158
[3]	Qu R T, Zhao J X, Stoica M, Eckert J, Zhang Z F 2012 Mater. Sci. Eng. A 534 365
[4]	Herring S D, Germann T C, Grönbech-Jensen N 2010 Phys. Rev. B 82 214108
[5]	Mang J T, Hjelm R P, Francois E G 2010 Propellants Explos. Pyrotech. 35 7
[6]	Swantek A B, Austin J M 2010 J. Fluid Mech. 649 399
[7]	Vandersall K S, Tarver C M, Garcia F, Chidester S K 2010 J. Appl. Phys. 107 094906
[8]	Zhang F, He H, Liu G, Liu Y, Yu Y, Wang Y 2013 J. Appl. Phys. 113 183501
[9]	Zeng T, Dong X L, Mao C L, Zhou Z Y, Yang H 2007 J. Eur. Ceram. Soc. 27 2025
[10]	Setchell R E 2005 J. Appl. Phys. 97 013507
[11]	Jiang D, Du J, Gu Y, Feng Y 2012 J. Appl. Phys. 111 104102
[12]	Zhang F P, Du J M, Liu Y S, Liu Y, Liu G M, He H L 2011 Acta Phys. Sin. 60 057701 (in Chinese) [张福平, 杜金梅, 刘雨生, 刘艺, 刘高旻, 贺红亮 2011 60 057701]
[13]	Peng H, Li P, Pei X Y, He H L, Cheng H P, Qi M L 2013 Acta Phys. Sin. 62 226201 (in Chinese) [彭辉, 李平, 裴晓阳, 贺红亮, 程和平, 祁美兰 2013 62 226201]
[14]	Sun B R, Zhan Z J, Liang B, Zhang R J, Wang W K 2012 Chin. Phys. B 21 056101
[15]	Wang F, Peng X S, Liu S Y, Li Y S, Jiang X H, Ding Y K 2011 Chin. Phys. B 20 065202
[16]	Gray III G T 2012 Shock Compression of Condensed Matter-2011 Chicago, USA, June 26-July 1, 2011 p19
[17]	Tan P J, Reid S R, Harrigan J J, Zou Z, Li S 2005 J. Mech. Phys. Solids 53 2206
[18]	Geng H Y, Wu Q, Tan H, Cai L C, Jing F Q 2002 Chin. Phys. 11 1188
[19]	Chang J, Lian P, Wei D Q, Chen X R, Zhang Q M, Gong Z Z 2010 Phys. Rev. Lett. 105 188302
[20]	Cui X L, Zhu W J, He H L, Deng X L, Li Y J 2008 Phys. Rev. B 78 024115
[21]	Bringa E M, Rosolankova K, Rudd R E, Remington B A, Wark J S, Duchaineau M, Kalantar D H, Hawrellak J, Belak J 2006 Nat. Mater. 5 805
[22]	Shehadeh M A, Bringa E M, Zbib H M, McNaney J M, Remington B A 2006 Appl. Phys. Lett. 89 171918
[23]	Dávila L P, Erhart P, Bringa E M, Meyers M A, Lubarda V A, Schneider M S 2005 Appl. Phys. Lett. 86 161902
[24]	Buxton G A, Care C M, Cleaver D J 2001 Modelling Simul Mater. Sci. Eng. 9 485
[25]	Zhao G, Fang J, Zhao J 2011 Int. J. Numer. Anal. Meth. Geomech. 35 859
[26]	Ostoja-Starzewski M 2002 Appl. Mech. Rev. 55 35
[27]	Wang Y, Yin X C, Ke F J, Xia M F, Peng K Y 2000 Pure Appl. Geophys. 157 1905
[28]	Yano K, Horie Y 1999 Phys. Rev. B 59 13672
[29]	Grah M, Alzebdeh K, Sheng P Y, Vaudin M D, Bowman K J, Ostoja-Starzewski M 1996 Acta Mater. 44 4003
[30]	Gusev A A 2004 Phys. Rev. Lett. 93 034302
[31]	Yu Y, Wang W Q, Yang J, Zhang Y J, Jiang D D, He H L 2012 Acta Phys. Sin. 61 048103 (in Chinese) [喻寅, 王文强, 杨佳, 张友君, 蒋冬冬, 贺红亮 2012 61 048103]
[32]	Lawn B (translated by Gong J H) 2010 Fracture of Brittle Solids (Beijing: Higher Education Press) pp4, 5 (in Chinese) [罗恩 B 著 (龚江宏译) 2010 脆性固体断裂力学 (北京: 高等教育出版社) 第4, 5页]
[33]	Yu Y, Wang W Q, He H L, Lu T C 2014 Phys. Rev. E 89 043309
[34]	Grady D E 1998 Mech. Mater. 29 181
[35]	Setchell R E 2007 J. Appl. Phys. 101 053525
[36]	Setchell R E 2003 J. Appl. Phys. 94 573

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Vol. 63, Issue 24 - 2014-12-20

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