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Stress distribution and surface instability of an inclined granular layer
Authors:Zheng He-Peng a b  Jiang Yi-Min a  and Peng Zheng
Institution: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
Abstract:Static granular materials may avalanche suddenly under continuous quasi-static drives. This phenomenon, which is important in many engineering applications, can be explained by analyzing the stability of the elastic solutions. We show this for a granular layer driven by its inclination angle in gravity, where the elastic problem can be solved generally and analytically. It is found that a loss of stability may occur only at the free surface of the layer. This result is considered to be relevant for understanding surface avalanches and the flows observed experimentally.
Keywords:granular matter  nonlinear elasticity  stress  surface instability
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