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A model for the transitional behavior of simple shear flows of disks
Luleå University of Technology, Department of Engineering Sciences and Mathematics, Mechanics of Solid Materials.ORCID iD: 0000-0001-6016-6342
Clarkson University, Potsdam, NY.
Luleå tekniska universitet.
University of Notre Dame, Notre Dame, IN.
1992 (English)In: Studies in Applied Mechanics, ISSN 0922-5382, Vol. 31, p. 301-310Article in journal (Refereed) Published
Abstract [en]

A simple one-dimensional model is suggested to simulate some aspects of the dynamics of granular shear flows. The model consists of a viscoelastic packet bouncing between two harmonically oscillating walls. The amplitude and frequency of the wall motion are related to the concentration and shear rate respectively. The dynamics of the system is studied and it is shown that periodic as well as chaotic motions are possible for different parameters and initial conditions. Results are presented in the form of time histories, power spectral densities, phase diagrams, Poincaré maps and bifurcation diagrams. Some of the characteristics present in the two-dimensional granular shear flows are present in this simple model. It is promising that such analysis can provide better understanding of the transitional behavior of the constitutive relation between the rapid shear and the quasi-static flows.

Place, publisher, year, edition, pages
1992. Vol. 31, p. 301-310
National Category
Applied Mechanics
Research subject
Solid Mechanics
Identifiers
URN: urn:nbn:se:ltu:diva-28434DOI: 10.1016/B978-0-444-89213-3.50037-7Scopus ID: 2-s2.0-85023560440Local ID: 23a2212e-6444-4595-a5a8-77ec51d519cdOAI: oai:DiVA.org:ltu-28434DiVA, id: diva2:1001631
Conference
U.S./Japan Seminar on the Micromechanics of Granular Materials : 05/08/1991 - 09/08/1991
Note

Godkänd; 1992; 20130904 (andbra); Konferensartikel i tidskrift

Available from: 2016-09-30 Created: 2016-09-30 Last updated: 2017-11-25Bibliographically approved

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Aidanpää, Jan-Olov

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CiteExportLink to record
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Citation style
  • apa
  • harvard1
  • ieee
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  • vancouver
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  • de-DE
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  • nn-NO
  • nn-NB
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Output format
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  • asciidoc
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