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One-dimensional model for the transition from periodic to chaotic motions in granular shear flows
Luleå University of Technology, Department of Engineering Sciences and Mathematics, Mechanics of Solid Materials.ORCID iD: 0000-0001-6016-6342
1993 (English)In: Mechanics of materials (Print), ISSN 0167-6636, E-ISSN 1872-7743, Vol. 16, no 1-2, p. 153-161Article in journal (Refereed) Published
Abstract [en]

A simple one-dimensional mechanical model to simulate some aspects of the dynamics of granular flow is suggested. The model consists of a visco-elastic packet bouncing between two oscillating walls. The motion of the walls is prescribed to be harmonic. The amplitude and frequency of the wall motion are related to the concentration and shear rate, respectively. The dynamics of the system is studied for various parameter combinations 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, Poincare plots and bifurcation diagrams. This simple one-dimensional model presents many features that are analogous to those observed in the two-dimensional simple shear flow of disks.

Place, publisher, year, edition, pages
1993. Vol. 16, no 1-2, p. 153-161
National Category
Applied Mechanics
Research subject
Solid Mechanics
Identifiers
URN: urn:nbn:se:ltu:diva-34068DOI: 10.1016/0167-6636(93)90038-SLocal ID: 82c1ed60-04b2-11dd-b034-000ea68e967bOAI: oai:DiVA.org:ltu-34068DiVA, id: diva2:1007317
Conference
US-Japan Seminar on Mechanics of Granular Materials : 05/08/1991 - 09/08/1991
Note
Godkänd; 1993; 20080407 (ysko); Konferensartikel i tidskriftAvailable from: 2016-09-30 Created: 2016-09-30 Last updated: 2017-11-30Bibliographically approved

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