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Granular coal is a kind of multilayer and structured solid matter, which consists of a large assemblage of individual granular solids and has dual characters of coal and granular materials. Its crack propagation law can be studied using the coal mechanics and multi-scale characteristics. First of all, the linear elastic material may be damaged under compression; and the cause of crack propagation is explained from the viewpoint of energy that the dynamics of crack propagation is due to the release of strain energy. And then, further study on the granular coal crack propagation under uniaxial compression from macroscopic and microscopic raspects is carried out by physical experiment and numerical simulation. Results show that a cone is formed at the bottom of the heap, the crack propagation is slowed down with the decrease of coal particle size, mutation points in crack propagation will appear, and the crack will not be smooth after the granular coal is damaged completely. Besides, due to the influence of granular coal particle size, uniformity has an important effect on crack propagation. The greater the homogeneity coefficient, the later the fractures occur. The acoustic emission energy release becomes frequent and severe in the mild, moderate and deep stages of crack propagation. These results will be conducive to further study on the law of geotechnical granular materials crack propagation under compression.
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Keywords:
- J integral circuit /
- granular coal /
- uniaxial compression /
- crack propagation
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[27] Rice J R 1968 Fracture New York: Academic 2 191
[28] Griffith A A 1921 Phil. Trans. Royal Soc. London Ser. A 221
[29] Irwin G R 1957 Journal of Applied Mechanics 24 361
[30] Rowe P W 1962 Proc. Roy. Soc. A 269 500
[31] Liu A J, Nagel S R 1998 Nature 396 21
[32] Trappe V, Prasad V, Cipelletti L, Segre P N, Weitz D A 2002 Nature 411 772
[33] Peters J F, Muthuswamy M, Wibowo J, Tordesillas A 2005 Phys. Rev. E 72 041307
[34] Zhang J X, Tang C A 2008 Reinforced concrete failure mechanism-Numericaltest (Shenyang: Northeastern University press) pp23-24 (in Chinese) [张娟霞, 唐春安2008钢筋混凝土破坏机理–数值试验(沈阳: 东北大学出版社) 23–24]
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[1] Sun Q C, Hou M Y, Jin F 2011 Granular materials physics and mechanics (Beijing: Science Press) preface (in Chinese) [孙其诚, 厚美瑛, 金峰2011颗粒物质物理与力学(北京: 科学出版社)前言]
[2] Bagi K 1996 Mech. Mater 22 165
[3] Li X, Li X S 2009 J. Eng. Mech. 135 641
[4] Jiang Y M, Liu 2003 MPhys. Rev. Lett. 91 144301
[5] Sun Q C, Jin F, Wang G Q, Zhang G H 2010 Acta Phys. Sin. 59 30 (in Chinese) [孙其诚, 金峰, 王光谦, 张国华 2010 59 30]
[6] Wang H Y, Cao X P, Jiang Y M, Liu Y 2005 Acta Phys. Sin. 54 2784 (in Chinese) [王焕友, 曹晓平, 蒋亦民, 刘佑 2005 54 2784]
[7] Krimer D O, Pfizner M, Brauer K 2006 Phys. Rev. E 74 061310
[8] Jiang Y M, Liu M 2007 Eur. Phys. J. E 22 255
[9] Peng Z, Li X Q, Jiang L, Fu L P, Jiang Y M 2009 Acta Phys. Sin. 58 2090 (in Chinese) [彭政, 李湘群, 蒋礼, 符力平, 蒋亦民 2009 58 2090]
[10] Gudehus G, Jiang Y M, Liu M 2011 Granular Matter 13 319
[11] de Gennes P G 1999 Rev. Mod. Phys. 71 S374
[12] Zheng H P 2014 Chin. Phys. B 23 054503
[13] Zheng H P, Jiang Y M, Peng Z 2013 Chin. Phys. B 22 040511
[14] Wittmer J P, Claudin P, Cates M E 1996 Nature 382 336
[15] Watson A 1996 Science 273 579
[16] Cates M E, Wittmer J P, Bouchaud J P, Claudin P 1999 Choas 9 511
[17] Edwards S F, Oakeshott R B S 1989 Physica A 157 1080
[18] Edwards S F, Grinev D V, Brujić J 2003 Physica A 330 61
[19] Chen Q, Yang X Q, Zhao X Y, Wang Z H, Zhao Y M 2013 Chin. Phys. B 22 014501
[20] Hartley R R, Behringer R P 2003 Nature 421 928
[21] Coniglio A, de Candia A, Fierro A, Nicodemi M, Pica Ciamarra M, Tarzia M 2004 Physica A 339 1
[22] Chang C S, Gao 1995 Int. J. Solid Struct 32 2279
[23] Iwashita K, Oda M 1998 ASCE J Eng Mech ASCE 124 285
[24] Abdul Q, Madad A S, Saeed A K 2013 Chin. Phys. B 22 058301
[25] Jiang M J, Konrad J M, Leroueil S 2003 Comput. Geotech. 30 579
[26] Eshebly J D 1956 New York: Academic 3 79
[27] Rice J R 1968 Fracture New York: Academic 2 191
[28] Griffith A A 1921 Phil. Trans. Royal Soc. London Ser. A 221
[29] Irwin G R 1957 Journal of Applied Mechanics 24 361
[30] Rowe P W 1962 Proc. Roy. Soc. A 269 500
[31] Liu A J, Nagel S R 1998 Nature 396 21
[32] Trappe V, Prasad V, Cipelletti L, Segre P N, Weitz D A 2002 Nature 411 772
[33] Peters J F, Muthuswamy M, Wibowo J, Tordesillas A 2005 Phys. Rev. E 72 041307
[34] Zhang J X, Tang C A 2008 Reinforced concrete failure mechanism-Numericaltest (Shenyang: Northeastern University press) pp23-24 (in Chinese) [张娟霞, 唐春安2008钢筋混凝土破坏机理–数值试验(沈阳: 东北大学出版社) 23–24]
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