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本文采用一种具有良好定量性质的离散元模型研究了带孔洞的各向同性脆性介质在细观尺度上的压缩破坏特征. 通过对孤立孔洞、三种简单的孔洞排布方式和大量孔洞随机排布等几种情况的模拟, 认识到了剪切破坏和局域拉伸破坏是冲击波压缩下多孔介质的基本破坏模式; 孔洞之间的损伤贯通会促进孔洞在较低应力下发生塌缩, 但损伤区的应力松弛过程却会对一定范围内的介质起到损伤屏蔽作用; 不同区域中损伤促进和损伤屏蔽的综合效果是在多孔脆性介质中形成一种高损伤区与低损伤区间错排布的奇特损伤分布. 本文的研究结果为深入理解脆性材料冲击波压缩破坏的演化过程和机理提供了细观尺度上的初步物理图像.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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Keywords:
- brittle material /
- shock wave /
- compressive failure /
- void
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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]
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[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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[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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