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Variations of pressure along the vertical direction in a cylindrical silo are measured, of which the side wall is comprised of two separated up and down parts. The deviation of the measured results from the so-called Janssen model of silo stress is discussed. The measurements show that certain deviations from the model are always observed, no matter whether the slowly downward motion of silo bottom by “fully mobilized friction” as suggested by Vanel et al is carried on. Moreover without mobilizing the friction, the deviation may increase considerably if a tiny sink of the upper side-wall caused by weight of filled grains is present. The effect can be however eliminated by the friction mobilized. These indicate that distributions of grain weight at the bottom and lateral wall are complex and variant, and dependent on preparation manner and deformation of experiment setup. So stress boundary conditions need to be taken into account in the nonlinear elastic theory for analyzing static stress distribution of granular matter.
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Keywords:
- granular matter /
- silo /
- Janssen model /
- stress
[1] de Gennes P G 1999 Rev. Mod. Phys. 71 S374
[2] Lu K Q, Liu J X 2004 Physics 33 629 (in Chinese) [陆坤权, 刘寄星 2004 物理 33 629]
[3] Evesque P, de Gennes P G 1998 CR. Acad. Sci. Paris Série IIb 326 761
[4] Vanel L, Claudin P, Bouchaud J P, Cates M E, Wittmer J P 2000 Phys. Rev. Lett. 84 1439
[5] Bertho Y, Frédérique G D, Hulin J P 2003 Phys. Rev. Lett. 90 144301
[6] Brauer K, Pfitzner M, Krimer D O, Mayer M, Jiang Y M, Liu M 2006 Phys. Rev. E 74 061311
[7] Abdul Q, Shi Q, Liang X, Sun G 2010 Chin. Phys. B 19 034601
[8] Wensrich C, Kisi E, Zhang J, Kirstein O 2012 Granul. Matter 14 671
[9] Cambau T, Hure J, Marthelot J 2013 Phys. Rev. E 88 022204
[10] Li X, Jiang Y, Peng Z 2010 J. Shandong Univ. (Natural Science) 45 101 (in Chinese) [李湘群, 蒋亦民, 彭政 2010 山东大学学报 (理学版) 45 101]
[11] Wang L Z, Jiang Y M, Peng Z, Zheng H P 2011 Chin. Sci. Bull. 56 1091 (in Chinese) [王璐珠, 蒋亦民, 彭政, 郑鹤鹏 2011 科学通报 56 1091]
[12] 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]
[13] Zheng H P, Jiang Y M 2008 Acta Phys. Sin. 57 7919 (in Chinese) [郑鹤鹏, 蒋亦民 2008 57 7919]
[14] Jiang Y M, Zheng H P 2008 Acta Phys. Sin. 57 7360 (in Chinese) [蒋亦民, 郑鹤鹏 2008 57 7360]
[15] Janssen H A 1895 Z. Ver. Deutch. Ing. 39 1045
[16] Sperl M 2006 Granul. Matter 8 59
[17] Kwade A, Schulze D, Schwedes J 1994 Beton Stahlbetonbau 89 58
[18] Kwade A, Schulze D, Schwedes J 1994 Powder Handling Process. 6 199
[19] Wittmer J, Claudin P, Cates M, Bouchaud J 1996 Nature 382 336
[20] Wittmer J, Claudin P, Cates M 1997 J. Phys. I (France) 7 39
[21] National Standard of P. R. China GBJ 77-85 1988 Reinforced Concrete Silo Design Specification (Beijing: China Planning Press) (in Chinese) [中华人民共和国国家标准 GBJ 77–85 1988 钢筋混凝土筒仓设计规范 (北京: 中国计划出版社)]
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[1] de Gennes P G 1999 Rev. Mod. Phys. 71 S374
[2] Lu K Q, Liu J X 2004 Physics 33 629 (in Chinese) [陆坤权, 刘寄星 2004 物理 33 629]
[3] Evesque P, de Gennes P G 1998 CR. Acad. Sci. Paris Série IIb 326 761
[4] Vanel L, Claudin P, Bouchaud J P, Cates M E, Wittmer J P 2000 Phys. Rev. Lett. 84 1439
[5] Bertho Y, Frédérique G D, Hulin J P 2003 Phys. Rev. Lett. 90 144301
[6] Brauer K, Pfitzner M, Krimer D O, Mayer M, Jiang Y M, Liu M 2006 Phys. Rev. E 74 061311
[7] Abdul Q, Shi Q, Liang X, Sun G 2010 Chin. Phys. B 19 034601
[8] Wensrich C, Kisi E, Zhang J, Kirstein O 2012 Granul. Matter 14 671
[9] Cambau T, Hure J, Marthelot J 2013 Phys. Rev. E 88 022204
[10] Li X, Jiang Y, Peng Z 2010 J. Shandong Univ. (Natural Science) 45 101 (in Chinese) [李湘群, 蒋亦民, 彭政 2010 山东大学学报 (理学版) 45 101]
[11] Wang L Z, Jiang Y M, Peng Z, Zheng H P 2011 Chin. Sci. Bull. 56 1091 (in Chinese) [王璐珠, 蒋亦民, 彭政, 郑鹤鹏 2011 科学通报 56 1091]
[12] 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]
[13] Zheng H P, Jiang Y M 2008 Acta Phys. Sin. 57 7919 (in Chinese) [郑鹤鹏, 蒋亦民 2008 57 7919]
[14] Jiang Y M, Zheng H P 2008 Acta Phys. Sin. 57 7360 (in Chinese) [蒋亦民, 郑鹤鹏 2008 57 7360]
[15] Janssen H A 1895 Z. Ver. Deutch. Ing. 39 1045
[16] Sperl M 2006 Granul. Matter 8 59
[17] Kwade A, Schulze D, Schwedes J 1994 Beton Stahlbetonbau 89 58
[18] Kwade A, Schulze D, Schwedes J 1994 Powder Handling Process. 6 199
[19] Wittmer J, Claudin P, Cates M, Bouchaud J 1996 Nature 382 336
[20] Wittmer J, Claudin P, Cates M 1997 J. Phys. I (France) 7 39
[21] National Standard of P. R. China GBJ 77-85 1988 Reinforced Concrete Silo Design Specification (Beijing: China Planning Press) (in Chinese) [中华人民共和国国家标准 GBJ 77–85 1988 钢筋混凝土筒仓设计规范 (北京: 中国计划出版社)]
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