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Granular matter is a complex energy dissipation system. The friction and the viscous contacts among particles can dissipate effectively the system energy caused by external impact load. The force chain structure in granular system can extend the local impact in spatial dimension and expand the instantaneous impact in temporal dimension, thus to obtain the effective shock-absorbing effect. To investigate the absorbing capacity of granular matter under an impact load, in the present study, we develop an experimental system, in which a rock ball impacts granular matter in a cylinder under gravity, and the impact force on the cylinder bottom is measured with three load cells. The influences of particle size, material propery, thickness of granular matter on shock-absorbing capacity are discussed. The results show that irregular particles have more shock absorbing capacity, while the large-size particles have a slightly higher shock absorbing capability than the small-size particles. The thickness of granular matter, H, is a key parameter to affect the shock-absorbing. Critical thickness, Hc, is obtained in the experiments. The shock-absorbing capacity of granular matter is enhanced with H increasing when HHc, while H has little influence on shock-absorbing when H>Hc. The resutls above are obtained with constant impact energy. Critical thickness Hc should be a function of impact energy and will be determined in the next study. With the experiments on shock-absorbing capacity of granular matter, it can reveal basic mechanical behaviors of granular materials and be applied in mechanical vibration absorptions.
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Keywords:
- granular matter /
- shock-absorbing capacity /
- energy dissipation /
- impact load
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[2] Sun Q C, Wang G Q 2009 Introduction of Particle Material Mechanics (1st Ed.) (Beijing: Science Press) p3 (in Chinese) [孙其诚, 王光谦 2009 颗粒物质力学导论. (北京: 科学出版社) 第3页]
[3] Ji S Y 2007 Chinese Journal of Theoretical and Applied Mechanics 39 223 (in Chinese) [季顺迎 2007 力学学报 39 223]
[4] Ji S Y, Shen H H 2006 Journal of Engineering Mechanics 132 1252
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[6] He S M, Wu Y, Li X P 2008 Engineering Mechanics 25 19 (in Chinese) [何思明, 吴永, 李新坡 2008 工程力学 25 19]
[7] Du Y C, Wang S L, Zhang J L 2010 International Journal of Impact Engineering 37 309
[8] Wu C Y, Li L Y, Thornton C 2005 International Journal of Impact Engineering 32 593
[9] Etsion I, Kligerman Y, Kadin Y 2005 Journal of Solids and Structures 42 3716
[10] Liu L, Zhang L, Liao S 2010 Science in China 53 892
[11] Mueth D M, Jaeger H M, Nagel S R 1998 Phys. Rev. E 57 3164
[12] Goldenberg C, Goldhirsch 2002 Phys. Rev. Lett. 89 084302
[13] Luding S 2005 Nature 435 159
[14] Goldman D I, Umbanhowar P 2008 Phys. Rev. E 77 021308
[15] Uehara J S, Ambroso M A, Ojha R P, Durian D J 2003 Phys. Rev. Lett. 90 194301
[16] Pacheco V F, Ruiz J C S 2009 Phys. Rev. E 80 060301
[17] Ogale S B, Shinde S R, Karve P A, Ogale A S, Kulkarni A, Athawale A, Phadke A, Thakurdas R 2005 Physica A 362 181
[18] Antypov D, Elliott J A 2011 Phys. Rev. E 84 021303
[19] Katsuragi H, Durian D J 2007 Nature Phys. 3 420
[20] Zhao Z, Liu C S 2008 Phys. Rev. E 78 031307
[21] Addiss J, Collins A, Bobaru F, Promratana K, Proud W G 2009 Dymat International Conferences Brussels Belgium, September 7-11, 2009 p59
[22] Duncan M R, Wassgren C R, Krousgrill C M 2005 Jounal of Sound and Vibration 286 123
[23] Mao K M, Wang M Y, Xu Z W, Chen T N 2004 Powder Technol. 142 154
[24] Xia Z W, Shan Y C, Liu X D 2007 Journal of Aerospace Power 10 1737 (in Chinese) [夏兆旺, 单颖春, 刘献栋 2007 航空动力学报 10 1737]
[25] Remillat C 2007 Mechanics of Materials 39 525
[26] Seguin A, Bertho Y, Gondret P 2008 Phys. Rev. E 78 010301
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[1] Lu K Q, Liu J X 2004 Physics 33 629 (in Chinese) [陆坤权, 刘寄星 2004 物理 33 629]
[2] Sun Q C, Wang G Q 2009 Introduction of Particle Material Mechanics (1st Ed.) (Beijing: Science Press) p3 (in Chinese) [孙其诚, 王光谦 2009 颗粒物质力学导论. (北京: 科学出版社) 第3页]
[3] Ji S Y 2007 Chinese Journal of Theoretical and Applied Mechanics 39 223 (in Chinese) [季顺迎 2007 力学学报 39 223]
[4] Ji S Y, Shen H H 2006 Journal of Engineering Mechanics 132 1252
[5] Sun Q C, Wang G Q 2008 Acta Phys. Sin. 57 4667 (in Chinese) [孙其诚, 王光谦 2008 57 4667]
[6] He S M, Wu Y, Li X P 2008 Engineering Mechanics 25 19 (in Chinese) [何思明, 吴永, 李新坡 2008 工程力学 25 19]
[7] Du Y C, Wang S L, Zhang J L 2010 International Journal of Impact Engineering 37 309
[8] Wu C Y, Li L Y, Thornton C 2005 International Journal of Impact Engineering 32 593
[9] Etsion I, Kligerman Y, Kadin Y 2005 Journal of Solids and Structures 42 3716
[10] Liu L, Zhang L, Liao S 2010 Science in China 53 892
[11] Mueth D M, Jaeger H M, Nagel S R 1998 Phys. Rev. E 57 3164
[12] Goldenberg C, Goldhirsch 2002 Phys. Rev. Lett. 89 084302
[13] Luding S 2005 Nature 435 159
[14] Goldman D I, Umbanhowar P 2008 Phys. Rev. E 77 021308
[15] Uehara J S, Ambroso M A, Ojha R P, Durian D J 2003 Phys. Rev. Lett. 90 194301
[16] Pacheco V F, Ruiz J C S 2009 Phys. Rev. E 80 060301
[17] Ogale S B, Shinde S R, Karve P A, Ogale A S, Kulkarni A, Athawale A, Phadke A, Thakurdas R 2005 Physica A 362 181
[18] Antypov D, Elliott J A 2011 Phys. Rev. E 84 021303
[19] Katsuragi H, Durian D J 2007 Nature Phys. 3 420
[20] Zhao Z, Liu C S 2008 Phys. Rev. E 78 031307
[21] Addiss J, Collins A, Bobaru F, Promratana K, Proud W G 2009 Dymat International Conferences Brussels Belgium, September 7-11, 2009 p59
[22] Duncan M R, Wassgren C R, Krousgrill C M 2005 Jounal of Sound and Vibration 286 123
[23] Mao K M, Wang M Y, Xu Z W, Chen T N 2004 Powder Technol. 142 154
[24] Xia Z W, Shan Y C, Liu X D 2007 Journal of Aerospace Power 10 1737 (in Chinese) [夏兆旺, 单颖春, 刘献栋 2007 航空动力学报 10 1737]
[25] Remillat C 2007 Mechanics of Materials 39 525
[26] Seguin A, Bertho Y, Gondret P 2008 Phys. Rev. E 78 010301
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