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Stress distribution and surface instability of an inclined granular layer |
Zheng He-Peng (郑鹤鹏)a b, Jiang Yi-Min (蒋亦民)a, Peng Zheng (彭政)a |
a School of Physics and Electronics, Central South University, Changsha 410083, China; b School of Basic Medical Sciences, Guilin Medical University, Guilin 541004, China |
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Abstract Static granular materials may avalanche suddenly under continuous quasi-static drives. The phenomenon, which is important for many engineering applications, can be explained by analyzing stability of elastic solutions. We show this for a granular layer driven by its inclination angle in gravity, of which elastic problem could be solved generally and analytically. It is found that a lost of stability may occur only at free surface of the layer. The result is considered to be relevant for understanding surface avalanches and flows observed by experiments.
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Received: 18 June 2012
Revised: 30 August 2012
Accepted manuscript online:
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PACS:
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05.70.Ce
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(Thermodynamic functions and equations of state)
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45.70.Cc
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(Static sandpiles; granular compaction)
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46.25.-y
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(Static elasticity)
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62.20.D
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Fund: Project supported by the National Natural Science Foundation of China (Grant No. 10904175). |
Corresponding Authors:
Jiang Yi-Min
E-mail: jiangyimin@yahoo.cn
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Cite this article:
Zheng He-Peng (郑鹤鹏), Jiang Yi-Min (蒋亦民), Peng Zheng (彭政) Stress distribution and surface instability of an inclined granular layer 2013 Chin. Phys. B 22 040511
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