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TECHNICAL PAPERS

Hysteretic Friction for the Transient Rolling Contact Problem of Linear Viscoelasticity

[+] Author and Article Information
D. L. Chertok

Springfield Financial Services LLC, 8700 W. Bryn Mawr Avenue, 12th Floor, Chicago, IL 60631e-mail: dchertok@siichi.com

J. M. Golden

School of Mathematics, Statistics and Computer Science, Dublin Institute of Technology, Dublin 8, Irelande-mail: jmgolden@maths.kst.dit.ie

G. A. C. Graham

Applied and Computational Mathematics Program, Simon Fraser University, Burnaby, BC V5A 1S6, Canadae-mail: gac@cs.sfu.ca

J. Appl. Mech 68(4), 589-595 (Sep 27, 2000) (7 pages) doi:10.1115/1.1354622 History: Received October 03, 1997; Revised September 27, 2000
Copyright © 2001 by ASME
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References

Figures

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Schematic representation of the problem: C(t)=[a(t),b(t)]—contact interval, O—center of the cylinder, R—radius of the cylinder, x0(t)—point of deepest indentation of the half-space, x—current point coordinate, u(x,t)—vertical displacement at x,d(t)—maximum displacement, V(t)— indentor speed, W(t)—total load
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Schematic representation of the discretization procedure for the spatial domain
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Constantly accelerating indentor: V=t. History of contact interval width C, indentor tip shift h and speed V.
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Constantly accelerating indentor: V=t. History of hysteretic friction fH and speed V. The solid lines indicate the transient solution and the broken lines indicate the steady-state solution. The dotted line indicates the speed.
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Alternately accelerating and decelerating indentor with V(t) varying as described by (38). History of contact interval width C, indentor tip shift h and speed V. The solid lines indicate the transient solution and the broken lines indicate the steady-state solution. The dotted line indicates the speed.
Grahic Jump Location
Alternately accelerating and decelerating indentor with V(t) varying as described by (38). History of hysteretic friction fH and speed V. The solid lines indicate the transient solution and the broken lines indicate the steady-state solution. The dotted line indicates the speed.
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History of pressure distribution for an alternately accelerating and decelerating indentor
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Periodically accelerating indentor: V(t)=1+0.9 sin(t). History of contact interval width C, indentor tip shift h and speed V.
Grahic Jump Location
Periodically accelerating indentor: V(t)=1+0.9 sin(t). History of hysteretic friction fH and speed V.
Grahic Jump Location
Periodically varying load: W(t)=1+0.9 sin(t). History of contact interval width C, indentor tip shift h and speed V.W is scaled by a factor of 10 to fit on the graph.
Grahic Jump Location
Periodically varying load: W(t)=1+0.9 sin(t). History of hysteretic friction fH and speed V.W is scaled by a factor of 100 to fit on the graph.

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