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Microstates and Macrostructures for Granular Assemblies
The fabric and microstructure of a granular material have profound implications to numerous important macroscale behaviors, including liquefaction susceptibility, quasi-static stress-strain response, and wave propagation phenomena. The quantification of fabric and structure, however, is a complex task for nonidealized packings or nonuniform particles. A statistical framework capable of describing local variations in fabric would be a powerful tool for predicting the heterogeneities observed in the macroscale response of real sands. The concept of informational entropy may provide just such a framework. An assembly of particles may be considered as a collection of particle neighborhoods (microstates) that are defined by a coordination number and local porosity. In packings of monodisperse spheres, maximization of the entropy of these microstates has been shown, both theoretically and experimentally, to describe macroscale response of the assembly. However, solutions for polydisperse random systems are necessarily numerical in nature. In the current work, microstate information is extracted from numerical assemblies of spheres and the informational entropy is quantified. Theoretical predictions of system response are compared with those observed numerically. Potential uses for entropy measures in granular assemblies are postulated.
Microstates and Macrostructures for Granular Assemblies
The fabric and microstructure of a granular material have profound implications to numerous important macroscale behaviors, including liquefaction susceptibility, quasi-static stress-strain response, and wave propagation phenomena. The quantification of fabric and structure, however, is a complex task for nonidealized packings or nonuniform particles. A statistical framework capable of describing local variations in fabric would be a powerful tool for predicting the heterogeneities observed in the macroscale response of real sands. The concept of informational entropy may provide just such a framework. An assembly of particles may be considered as a collection of particle neighborhoods (microstates) that are defined by a coordination number and local porosity. In packings of monodisperse spheres, maximization of the entropy of these microstates has been shown, both theoretically and experimentally, to describe macroscale response of the assembly. However, solutions for polydisperse random systems are necessarily numerical in nature. In the current work, microstate information is extracted from numerical assemblies of spheres and the informational entropy is quantified. Theoretical predictions of system response are compared with those observed numerically. Potential uses for entropy measures in granular assemblies are postulated.
Microstates and Macrostructures for Granular Assemblies
Evans, T. Matthew (Autor:in) / Brown, Colin B. (Autor:in)
Geo-Congress 2014 ; 2014 ; Atlanta, Georgia
Geo-Congress 2014 Technical Papers ; 2858-2866
24.02.2014
Aufsatz (Konferenz)
Elektronische Ressource
Englisch
On Microstates and Macrostructures for Granular Assemblies
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