The statistical-mechanical theory of stress transmission in granular materials

1999 ◽  
Vol 263 (1-4) ◽  
pp. 545-553 ◽  
Author(s):  
S.F. Edwards ◽  
D.V. Grinev
Keyword(s):  
Granular Materials ◽  
Mechanical Theory ◽  
Stress Transmission ◽  
Statistical Mechanical

Physics of Granular Systems

2015 ◽  
Author(s):  
Raphael Blumenfeld ◽  
Sam F. Edwards ◽  
Stephen M. Walley
Keyword(s):  
Degrees Of Freedom ◽  
Granular Matter ◽  
Granular Systems ◽  
Mechanical Theory ◽  
Micro Structure ◽  
Fundamental Physics ◽  
Granular Assemblies ◽  
Stress Transmission ◽  
Statistical Mechanical ◽  
The Relationship

This article discusses the fundamental physics of granular systems. It begins with an overview of the science of granular matter, followed by a description of the ‘micro’-structure on the granular level. It then considers stress transmission in mechanically equilibrated granular assemblies, focusing on conditions for marginal rigidity, isostaticity theory, and limitations of linear stress theories. It also examines the use of statistical mechanics to analyse and classify granular materials, taking into account the micro-canonical volume ensemble, structural degrees of freedom, the canonical volume ensemble and the quasi-particles of the volume ensemble, the stress ensemble, and the relationship between the volume and stress ensembles. The article concludes with an assessment of recent advances in the ongoing attempt to construct a statistical mechanical theory of granular systems.

Statistical analysis of stress transmission in wet granular materials

2018 ◽  
Vol 42 (16) ◽  
pp. 1935-1956 ◽  
Author(s):  
Mehdi Pouragha ◽  
Richard Wan ◽  
Jerôme Duriez ◽  
Nauman Hafeez Sultan
Keyword(s):  
Statistical Analysis ◽  
Granular Materials ◽  
Stress Transmission

scholarly journals Statistical Mechanical Theory of a Closed Oscillating Universe

2009 ◽  
Vol 40 (3) ◽  
pp. 267-275
Author(s):  
A. Pérez-Madrid ◽  
I. Santamaría-Holek
Keyword(s):  
Mechanical Theory ◽  
Statistical Mechanical

Model Tests on Additional Stress Transmission between Different Granular Materials in Foundation Soils

2014 ◽  
Vol 919-921 ◽  
pp. 828-834
Author(s):  
Chang Dan Wang ◽  
Shun Hua Zhou ◽  
Hui Su
Keyword(s):  
Granular Materials ◽  
Boundary Surface ◽  
Vertical Direction ◽  
Stress Transfer ◽  
Fine Sand ◽  
Compression Modulus ◽  
Model Tests ◽  
Additional Stress ◽  
Stress Transmission ◽  
Different Soils

To research and analyze the additional stress distribution and change of granular materials, the model tests are used to observe vertical additional stress in different position and depth in different foundations. And the comparison between observed values both in different soils and single soils is conducted to analyze the transmission and attenuation of additional stress in granular materials. The research results show that the existing of boundary surface can lead to different vertical additional stress transmit obviously. And with the increasing of loading, the vertical additional stress differences between that of different soils get larger, meanwhile, the ratio of stress differences to smaller additional stress increases slightly. With the increasing of depth, the attenuation rate of vertical additional stress of silty soil changes much fast than that of fine sand. Wherever in horizontal direction or vertical direction, the vertical additional stress of fine sand which has higher compression modulus in different soils is slightly larger than that in single soil and transfers additional stress (loading) more under the same loading. To granular materials, inner friction structure effect is evident influence to additional stress transfer.

Statistical mechanical theory of local compositions

1985 ◽  
Vol 22 (3) ◽  
pp. 253-275 ◽  
Author(s):  
G.Ali Mansoori ◽  
James F. Ely
Keyword(s):  
Mechanical Theory ◽  
Statistical Mechanical

Water Molecules in a Protein Cavity Detected by a Statistical−Mechanical Theory

2005 ◽  
Vol 127 (44) ◽  
pp. 15334-15335 ◽  
Author(s):  
Takashi Imai ◽  
Ryusuke Hiraoka ◽  
Andriy Kovalenko ◽  
Fumio Hirata
Keyword(s):  
Water Molecules ◽  
Mechanical Theory ◽  
Protein Cavity ◽  
Statistical Mechanical
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