Abstract
In order to make sense of the dynamic response of brittle materials under the certain range of impact strength, the numerical simulation for two kinds of representative ones glass and ceramic are conducted, in which the elastic micro-crack damage model is used. The plane impact experiments of ceramic and glass are summarized, which are used to compare with the simulation results. The simulation results show that the dynamic responses of brittle materials, failure wave and the plastic-like response appeared in glass and ceramic respectively are depended on their micro-cracks distribution in meso-scale. And moreover, both of failure wave and the plastic-like response are controlled by the same mechanism, and the different phenomena are just influenced by the size and distribution of the micro-cracks.
Funding statement: The authors would like to acknowledge the support by the National Natural Science Foundation of China under Grant no.11221202, by the National Basic Research Program of China under Grant no.2013CB035903.
References
[1] L. A. Galin and G. P. Cherepanov, Self-sustaining failure of a stressed brittle body, Sov. Phys. Dok. 11 (1966), 267.Search in Google Scholar
[2] S. V. Rasorenov, G. I. Kanel, V. E. Fortov, et al, The fracture of glass under high pressure impulsive loading, Int. J. High Press. Res. 6(4) (07/1991), 225–232.10.1080/08957959108202508Search in Google Scholar
[3] N. K. Bourne, Z. Rosenberg and J. E. Field, High speed photography of compressive failure waves in glasses, J Appl. Phys. 78(6) (1995), 3736–3739.10.1063/1.360709Search in Google Scholar
[4] Y. Zhang, Study on the failure wave in glass-like brittle materials under dynamic impact loading [Doctor’s Thesis], Beijing Institute of Technology, Beijing, 2011.Search in Google Scholar
[5] N. K. Bourne and Z. Rosenberg, The dynamic response of soda-lime glass, AIP Conf. Proc. 370 (1996), 567–572.10.1063/1.50660Search in Google Scholar
[6] A. Ginzberg and Z. Rosenberg, Using reverberation techniques to study the properties of shock loaded soda lime glass, AIP Conf. Proc. 429 (1998), 529–531.10.1063/1.55559Search in Google Scholar
[7] G. I. Kanel, A. A. Bogach, S. V. Razorenov, et al, A study of the failure wave phenomenon in brittle materials, AIP Conf. Proc. 706 (2004), 739–742.10.1063/1.1780344Search in Google Scholar
[8] G. F. Raiser, J. L. Wise, R. J. Clifton, et al, Plate impact response of ceramics and glasses, J Appl. Phys. 75(8) (1994), 3862–3870.10.1063/1.356066Search in Google Scholar
[9] N. K. Bourne, J. Millett and Z. Rosenberg, On the origin of failure waves in glass, J Appl. Phys. 81(10) (1997), 6670–6674.10.1063/1.365207Search in Google Scholar
[10] N. K. Bourne, The shock response of float-glass laminates, J Appl. Phys. 98(6) (2005), 063515–063515–5.10.1063/1.2058196Search in Google Scholar
[11] Z. Jianheng, Experimental and theoretical investigation on failure waves in glass-like brittle materials under shock wave loading [Doctor’s Thesis], Institute of Mechanics, Chinese Academy of Sciences, Beijing, 2001.Search in Google Scholar
[12] N. S. Brar, S. J. Bless and Z. Rosenberg, Impact induced failure waves in glass bars and plates, Appl. Phys. Lett. 59 (1991), 3396–3398.10.1063/1.105686Search in Google Scholar
[13] G. I. Kanel, A. A. Bogatch, S. V. Razorenov, et al, Transformation of shock compression pulse in glass Due To the failure wave phenomena, J. Appl. Phys. 92(91) (2002), 5045–5052.10.1063/1.1510947Search in Google Scholar
[14] He. Hongliang, Dynamic response and microstructure damage of brittle materials under shock wave loading [Doctor’s Thesis], Southwest Institute of Fluid Physics, Mianyang, 1997.Search in Google Scholar
[15] G. F. Raiser and R. J. Clifton, Failure waves in uniaxial compression of an aluminosilicate glass, AIP Conf. Proc. 309 (1994), 1039–1042.10.1063/1.46272Search in Google Scholar
[16] N. S. Brar, Failure waves in glass and ceramics under shock compression, AIP Conf. Proc. 505 (2000), 601–606.10.1063/1.1303546Search in Google Scholar
[17] G. I. Kanel, S. V. Razorenov, A. S. Savinykh, et al, A study of failure wave phenomenon in glasses compressed at different levels, J. Appl. Phys. 98 (2005), 113523–113527.10.1063/1.2139829Search in Google Scholar
[18] Z. P. Duan, Y. G. Zhang, L. S. Zhang, et al, Multi-thickness target plate impact experimental approach to failure waves in soda-lime glass and its numerical simulation, Int. J. Nonlinear Sci. Numer. Simul. 13(1) (2012), 3–11.10.1515/ijnsns-2011-116Search in Google Scholar
[19] D. E. Grady, Shock-wave properties of brittle solids, AIP Conf. Proc. 370 (1996), 9–20.10.1063/1.50579Search in Google Scholar
[20] Z. Yan-Geng, D. Zhuo-Ping, Z. Lian-Sheng, et al, Experimental research on failure wave of brittle materials under shock loading, Acta Armamentar II 31(4) (2010), 486–490.Search in Google Scholar
[21] S. Zhan-Feng, Experimental study on shock compressive damage and residual strength of alumina ceramics [Doctor’s Thesis], China Academy of Engineering Physics, Mianyang, 2012.Search in Google Scholar
[22] F. Xiaowei, Study on failure behavior of ceramics subjected to plate impact longding [Doctor’s Thesis], Chongqing University, Chongqing, 2012.Search in Google Scholar
[23] N. H. Murray, et al., The dynamic compressive strength of aluminas, J. Appl. Phys. 84(9) (1998), 4866–4871.10.1063/1.368729Search in Google Scholar
[24] N. K. Bourne, The onset of damage in shocked alumina, Proc. R. Soc. London, Ser. A 457 (2001), 2189–2205.10.1098/rspa.2001.0804Search in Google Scholar
[25] Y. Guowen, Study on the failure wave in alumina ceramic under impact compression [Doctor’s Thesis], Chongqing University, Chongqing, 2003.Search in Google Scholar
[26] Q. H. Zuo, F. L. Addessio, J. K. Dienes, et al, A rate-dependent damage model for brittle materials based on the dominant crack, Int. J Solids Struct. 43 (2006), 3350–3380.10.1016/j.ijsolstr.2005.06.083Search in Google Scholar
[27] Z. Liansheng, H. Fenglei and D. Zhuoping. Experimental study on the overshoot phenomenon of failure wave in glass. Huang Fenglei, Zhang Qingming, in: Proceedings of the 9th National Conference on Impact Dynamics. Jiaozuo, Henan: The Chinese Society of Mechanical Professional Committee of Explosion Mechanics, pp. 987–992, 2009.Search in Google Scholar
[28] L. Ping, L. Da-Hong, N. Jian-Guo, et al, Dynamic response of polycrystalline alumina under shock loading, Chin. J. High Press. Phys. 16(1) (2002), 22–28.Search in Google Scholar
[29] T. Hua, Introduction to experimental shock-wave physics, National Defend Industry Press, Beijing, 2007, 47–50.Search in Google Scholar
[30] A. G. Evans, Slow crack growth in brittle materials under dynamic loading conditions, Int. J. Fract. 10(2) (1974), 251–259.10.1007/BF00113930Search in Google Scholar
[31] H. D. Espinosa, Y. Xu and N. S. Brar, Micromechanics of failure waves in glass II: Modeling, J. Am. Ceram. Soc. 80(8) (1997), 2061–2073.10.1111/j.1151-2916.1997.tb03090.xSearch in Google Scholar
[32] D. N. Chen, C. L. Fan, S. G. Xie, et al, Study on constitutive relations and spall models for oxygen-free high conductivity copper under planar shock test, J Appl. Phys. 101 (2007), 063532–1–063532–9.10.1063/1.2711405Search in Google Scholar
[33] X. Shu-Gang, F. Chun-Lei, C. Da-Nian, et al., Experimental and numerical studies on spall of OFHC, Explos. Shock Waves 26(6) (2006), 532–536.Search in Google Scholar
[34] L. Kui, Performance evaluation and self-conditioning of fixed-abrasive pad [Doctor’s Thesis], Nanjing University of Aeronautics and Astronautics, Nanjing, 2010.Search in Google Scholar
© 2017 Walter de Gruyter GmbH, Berlin/Boston
