Onset of Transition for Cohesive and Viscous Granular Flows
Publication: Journal of Engineering Mechanics
Volume 124, Issue 10
Abstract
A theory for determining the onset of rapid flow or termination of quasi-static flow in a cohesive granular material mixed in a viscous interstitial fluid is presented. This theory is based on a one-dimensional model introduced in an earlier paper. Linear stability analysis is used to find the combination of material properties and flow rate for which a quasi-static flow becomes unstable, indicating the onset of rapid flow. This theory yields a quantitative criterion to select appropriate constitutive laws for viscous and cohesive granular material. This criterion is a linear approximation of the theoretical result. While it provides the critical condition for quasi-static flow to terminate, it does not give the transitional constitutive law before a rapid flow is fully developed, for which a second power law dependence on the strain rate applies. Nonetheless, the analysis and modeling effort presented in this work are necessary first steps toward a general quantification of how granular materials, with identical physical composition, can behave in drastically different ways.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Aidanpää, J.-O., Shen, H. H., and Gupta, R. B.(1994). “Stability and bifurcations of a stationary state for an impact oscillator.”Chaos—An Interdisciplinary J. Appl. Sci., 4(4), 621–630.
2.
Aidanpää, J.-O., Shen, H. H., and Gupta, R. B.(1996). “Experimental and numerical studies of shear layers in a granular shear cell.”J. Engrg. Mech., ASCE, 122(3), 187–196.
3.
Aidanpää, J.-O., Shen, H. H., Gupta, R. B., and Babić, M. (1993). “One-dimensional model for the transition from periodic to chaotic motions in granular shear flows.”Mech. Mat., 16(1–2), 153–162.
4.
Babić, M., Shen, H. H., and Shen, H. T.(1990). “The stress tensor in granular shear flows of uniform, deformable disks at high solids concentrations.”J. Fluid Mech., 219, 81–118.
5.
Campbell, C. S.(1990). “Rapid granular flows.”Annu. Rev. Fluid Mech., 22, 57–92.
6.
Chang, C. S., Chang, Y., and Kabir, M. G.(1992a). “Micromechanics modeling for stress-strain behavior of granular material. 1: Theory.”J. Geotech. Engrg., ASCE, 118(12), 1959–1974.
7.
Chang, C. S., Chang, Y., and Kabir, M. G.(1992b). “Micromechanics modeling for stress-strain behavior of granular material. 2: Evaluation.”J. Geotech. Engrg., ASCE, 118(12), 1975–1993.
8.
Craig, K., and Yeong, M. (1991). “Annular shear cell granular material flow experiments.”Soc. Engrg. Sci. 28th Annu. Technol. Meeting, Elsevier Science Publishers B.V., Amsterdam, The Netherlands, 132.
9.
Jenkins, J. T., and Richman, W. M.(1986). “Boundary conditions for plane flows of smooth, nearly elastic, circular disks.”J. Fluid Mech., 171, 53–69.
10.
Jenkins, J. T., and Savage, S. B.(1983). “A theory for the rapid flow of identical, smooth, nearly elastic, circular disks.”J. Fluid Mech., 130, 187–202.
11.
Mitchell, J. K. (1993). Fundamentals of soil behavior, 2nd Ed., John Wiley & Sons, Inc., New York.
12.
Nguyen, T. V., Brennen, C., and Sabersky, R. H.(1979). “Gravity flow of granular materials in conical hoppers.”J. Appl. Mech., 46, 529–534.
13.
Shen, H. H., Satake, M., Mehrabadi, M., Chang, C. S., and Campbell, C. S., eds. (1993). Mech. Mat.—Spec. Issue on Mech. Granular Mat., 16(1–2).
14.
Thornton, C., ed. (1993). Powders and grains. A. A. Balkema, Rotterdam, The Netherlands.
Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 124 • Issue 10 • October 1998
Pages: 1073 - 1079
Copyright
Copyright © 1998 American Society of Civil Engineers.
History
Published online: Oct 1, 1998
Published in print: Oct 1998
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.