TECHNICAL NOTE
May 1, 2001

Incipient Motion Criteria for a Rigid Sediment Grain on a Rigid Surface

Publication: Journal of Engineering Mechanics
Volume 127, Issue 5

Abstract

Criteria for the incipient motion of a rigid body initially resting on a rigid surface are formulated from first principles in this work. A modified Coulomb friction model and an associated distribution of reaction forces are proposed. There exists a surprisingly large category of general motions, however, that subscribe to a more conventional analysis, an analysis made possible by identifying so-called “significant reaction surfaces.” In this way a model that caters for the majority of combined translations and rotations is devised. Some introductory results demonstrate the accuracy with which fluids can be numerically modeled for the purposes of entrainment. This work is an extension of previous work by the same writer.

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References

1.
Buffington, J. M., and Montgomery, D. R. (1997). “A systematic analysis of eight decades of incipient motion studies, with special reference to gravel bed rivers.” Water Resour. Res., 33(8), 1993–2029.
2.
Childs, S. J. (1999). “The energetic implications of using deforming reference descriptions to simulate the motion of incompressible, Newtonian Fluids.” Comp. Methods in Appl. Mech. and Engrg., 180(1–2), 219–238.
3.
Childs, S. J. (2000). “The energetic implications of the time discretisation in implementations of the a.l.e. equations.” Int. J. Numer. Methods in Fluids, 32(8), 979–1019.
4.
Childs, S. J., and Reddy, B. D. (1999). “Finite element simulation of the motion of a rigid body in a fluid with free surface.” Comp. Methods in Appl. Mech. and Engrg., 175, 99–120.
5.
Oden, J. T., and Pires, E. B. (1982). “Nonlocal and nonlinear friction laws and variational principles for contact problems in elasticity.” Tech. Rep., Texas Institute for Computational Mechanics, University of Texas at Austin, Tex.

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Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 127Issue 5May 2001
Pages: 524 - 529

History

Received: Feb 22, 2000
Published online: May 1, 2001
Published in print: May 2001

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S. J. Childs
Dept. of Mech. Engrg., Peninsula Technikon, Belville, 7535, South Africa. E-mail: [email protected]

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