A discrete-mechanical approach to granular materials

作者: Masao Satake

DOI: 10.1016/0020-7225(92)90162-A

关键词: Differential operatorGeometryGraph theoryVoid (astronomy)Granular materialClassical mechanicsContinuum mechanicsDiscrete formMathematics

摘要: Abstract From a discrete-mechanical viewpoint, quantities of force and displacement for particles, contact points voids are defined their relationships explained. Extended incidence loop matrices introduced it is shown that these discrete form Schaefer's differential operators used in generalized continuum mechanics. Void newly introduced, explained void correspond to stress function incompatbility mechanics, respectively. Dualities existing graphs granular assembly also discussed.

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M. Satake, Graph-theoretical approach to the mechanics of granular materials Technology Reports of the Tohoku University. ,vol. 50, pp. 83- 97 ,(1985)
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