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Mesoscopic picture of fracture in porous brittle material under shock wave compression

Yu Yin Wang Wen-Qiang Yang Jia Zhang You-Jun Jiang Dong-Dong He Hong-Liang

Mesoscopic picture of fracture in porous brittle material under shock wave compression

Yu Yin, Wang Wen-Qiang, Yang Jia, Zhang You-Jun, Jiang Dong-Dong, He Hong-Liang
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  • Void is one of the most common type of structure flaws existing in brittle materials, which dramatically affects the shock loading response of brittle materials. A quantitative discrete element method is employed in this work to study the fracture characteristics of porous isotropic brittle material under shock wave compression. Scenarios of isolated void, three types of simple distribution and random distribution of voids are computed, from which we find that shear fracture and local tensile fracture are two type of basic fracture modes for brittle material under shock wave compression. Coalescence of damage bands between voids can induce the collapse of voids at relatively low pressure, while stress relaxation caused by damage can shield fracture evolution in a certain zone. The combination of amplification and shielding effects of damage results in a unique pattern of alternate distribution of severe and mild damage zones. These simulation results present a basic physics picture for the understanding of evolution process and mechanism of fracture in porous brittle material under shock wave compression.
    • Funds: Project supported by the Science Foundation of China Academy of Engineering Physics , China (Grant No. 2010A0201005), and the Science and Technology Foundation of State Key Laboratory of Shock Wave and Detonation Physics (Grant No. 9140C6711021007).
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    [2]

    Bourne N K, Rosenberg Z, Field J E 1995 J. Appl. Phys. 78 3736

    [3]

    Grady D E 1980 J. Geophys. Research 85 913

    [4]

    Jeanloz R 1980 J. Geophys. Research 85 3161

    [5]

    Graham R A (Translated by He H L) 2010 Solids Under High- Pressure Shock Compression (Beijing: Science Press) p79 (in Chinese) [格拉汉姆 R. A. 著 贺红亮译 2010 固体的冲击波压缩 (北京:科学出版社) 第79页]

    [6]

    Weir S T, Mitchell A C, Nellis W J 1996 J. Appl. Phys. 80 1522

    [7]

    Mashimo T, Kondo K I, Sawaoka A 1980 J. Geophys. Res. 85 1876

    [8]

    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 物理学报 60 057701]

    [9]

    Setchell R E 2003 J. Appl. Phys. 94 573

    [10]

    Setchell R E 2005 J. Appl. Phys. 97 3507

    [11]

    Setchell R E 2007 J. Appl. Phys. 101 053525

    [12]

    Gusev A A 2004 Phys. Rev. Lett. 93 034302

    [13]

    Yu Y, He H L, Wang W Q 2011 Proceedings of China mechanics - 2011 Haerbing, China, August 22-24, 2011 p144 (in Chinese) [喻寅, 贺红亮, 王文强 2011 中国力学大会-2011 哈尔滨 8月22--24日 2011年] 第144页

    [14]

    Chen Y, Huang T F 2001 Rock Physics (Beijing: Beijing University Press) p80 (in Chinese) [陈颙, 黄庭芳 2001 岩石物理学 (北京:北京大学出版社) 第80页]

    [15]

    Wada T, Inoue A, Greer A L 2005 Appl. Phys. Lett. 86 251907

    [16]

    Wang Y C, Mora P 2008 Pure Appl. Geophys. 165 609

    [17]

    Deng X L, Zhu W J, Song Z F, He H L, Jing F Q 2009 Acta Phys. Sin. 58 4772 (in Chinese) [邓小良, 祝文军, 宋振飞, 贺红亮, 经福谦 2009 物理学报 58 4772]

    [18]

    Belytschko T 2007 Int. J. Fract. 145 1

  • [1]

    Rasorenov S V, Kanel G I, Fortov V E 1991 High Pressure Research 6 225

    [2]

    Bourne N K, Rosenberg Z, Field J E 1995 J. Appl. Phys. 78 3736

    [3]

    Grady D E 1980 J. Geophys. Research 85 913

    [4]

    Jeanloz R 1980 J. Geophys. Research 85 3161

    [5]

    Graham R A (Translated by He H L) 2010 Solids Under High- Pressure Shock Compression (Beijing: Science Press) p79 (in Chinese) [格拉汉姆 R. A. 著 贺红亮译 2010 固体的冲击波压缩 (北京:科学出版社) 第79页]

    [6]

    Weir S T, Mitchell A C, Nellis W J 1996 J. Appl. Phys. 80 1522

    [7]

    Mashimo T, Kondo K I, Sawaoka A 1980 J. Geophys. Res. 85 1876

    [8]

    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 物理学报 60 057701]

    [9]

    Setchell R E 2003 J. Appl. Phys. 94 573

    [10]

    Setchell R E 2005 J. Appl. Phys. 97 3507

    [11]

    Setchell R E 2007 J. Appl. Phys. 101 053525

    [12]

    Gusev A A 2004 Phys. Rev. Lett. 93 034302

    [13]

    Yu Y, He H L, Wang W Q 2011 Proceedings of China mechanics - 2011 Haerbing, China, August 22-24, 2011 p144 (in Chinese) [喻寅, 贺红亮, 王文强 2011 中国力学大会-2011 哈尔滨 8月22--24日 2011年] 第144页

    [14]

    Chen Y, Huang T F 2001 Rock Physics (Beijing: Beijing University Press) p80 (in Chinese) [陈颙, 黄庭芳 2001 岩石物理学 (北京:北京大学出版社) 第80页]

    [15]

    Wada T, Inoue A, Greer A L 2005 Appl. Phys. Lett. 86 251907

    [16]

    Wang Y C, Mora P 2008 Pure Appl. Geophys. 165 609

    [17]

    Deng X L, Zhu W J, Song Z F, He H L, Jing F Q 2009 Acta Phys. Sin. 58 4772 (in Chinese) [邓小良, 祝文军, 宋振飞, 贺红亮, 经福谦 2009 物理学报 58 4772]

    [18]

    Belytschko T 2007 Int. J. Fract. 145 1

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  • Received Date:  12 July 2011
  • Accepted Date:  14 August 2011
  • Published Online:  15 April 2012

Mesoscopic picture of fracture in porous brittle material under shock wave compression

  • 1. Department of Physics and Key Laboratory for Radiation Physics and Technology of Ministry of Education, 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
Fund Project:  Project supported by the Science Foundation of China Academy of Engineering Physics , China (Grant No. 2010A0201005), and the Science and Technology Foundation of State Key Laboratory of Shock Wave and Detonation Physics (Grant No. 9140C6711021007).

Abstract: Void is one of the most common type of structure flaws existing in brittle materials, which dramatically affects the shock loading response of brittle materials. A quantitative discrete element method is employed in this work to study the fracture characteristics of porous isotropic brittle material under shock wave compression. Scenarios of isolated void, three types of simple distribution and random distribution of voids are computed, from which we find that shear fracture and local tensile fracture are two type of basic fracture modes for brittle material under shock wave compression. Coalescence of damage bands between voids can induce the collapse of voids at relatively low pressure, while stress relaxation caused by damage can shield fracture evolution in a certain zone. The combination of amplification and shielding effects of damage results in a unique pattern of alternate distribution of severe and mild damage zones. These simulation results present a basic physics picture for the understanding of evolution process and mechanism of fracture in porous brittle material under shock wave compression.

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