Chin. Phys. B ›› 2013, Vol. 22 ›› Issue (4): 40511-040511.doi: 10.1088/1674-1056/22/4/040511

• GENERAL • 上一篇    下一篇

Stress distribution and surface instability of an inclined granular layer

郑鹤鹏a b, 蒋亦民a, 彭政a   

  1. a School of Physics and Electronics, Central South University, Changsha 410083, China;
    b School of Basic Medical Sciences, Guilin Medical University, Guilin 541004, China
  • 收稿日期:2012-06-18 修回日期:2012-08-30 出版日期:2013-03-01 发布日期:2013-03-01
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No. 10904175).

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   

  1. a School of Physics and Electronics, Central South University, Changsha 410083, China;
    b School of Basic Medical Sciences, Guilin Medical University, Guilin 541004, China
  • Received:2012-06-18 Revised:2012-08-30 Online:2013-03-01 Published:2013-03-01
  • Contact: Jiang Yi-Min E-mail:jiangyimin@yahoo.cn
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No. 10904175).

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摘要： 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.

关键词: granular matter, nonlinear elasticity, stress, surface instability

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.

Key words: granular matter, nonlinear elasticity, stress, surface instability

中图分类号:  (Thermodynamic functions and equations of state)

  • 05.70.Ce
45.70.Cc (Static sandpiles; granular compaction) 46.25.-y (Static elasticity)