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Impression creep of a viscous layer

Published online by Cambridge University Press:  31 January 2011

Hong Chen  and
J. C. M. Li
Hong Chen
Affiliation:
Department of Mechanical Engineering, University of Rochester, Rochester, New York 14627
J. C. M. Li
Affiliation:
Department of Mechanical Engineering, University of Rochester, Rochester, New York 14627
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Abstract

Impression creep of a flat-ended cylindrical punch pushed into a viscous layer overlaid on a rigid substrate is analyzed. The method developed here permits us to relate the impression velocity to the punching stress in terms of an auxiliary function, which represents the solution of a set of Fredholm integral equations with a continuous symmetrical kernel. By a series of numerical analysis, the influence of the boundary conditions and the effect of the thickness of the layer on the impression velocity are obtained. For infinite thickness (i.e., h/a →∞, where h is the thickness of the layer and a is the radius of the punch), the impression creep is independent of the stick or slip boundary condition at the indenter/layer interface. For finite thickness such as h/a = 20, the boundary conditions have about 5% effect on the impression velocity. For a thin film, the impressing velocity is very sensitive to the boundary conditions. In fact it suggests a possible experimental way to detect debonding at the interface between the thin film and the substrate.

Type
Articles
Information
Journal of Materials Research , Volume 16 , Issue 9 , September 2001 , pp. 2709 - 2715
Copyright
Copyright © Materials Research Society 2001

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