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Research Papers: Contact Mechanics

Creep Relaxation of an Elastic–Perfectly Plastic Hemisphere in Fully Plastic Contact

[+] Author and Article Information
Andreas Goedecke1

Institute of Technical Mechanics, Johannes Kepler University, 4040 Linz, Austria; Actuators and Control, Siemens Corporate Technology, 81379 Munich, Germanyandreas.goedecke@students.jku.at

Randolf Mock

Actuators and Control, Siemens Corporate Technology, 81379 Munich, Germanyrandolf.mock@siemens.com

1

Corresponding author.

J. Tribol 131(2), 021407 (Mar 06, 2009) (10 pages) doi:10.1115/1.3081978 History: Received January 10, 2008; Revised January 25, 2009; Published March 06, 2009

A set of finite element simulations was performed to analyze the creep behavior of an elastic–perfectly plastic hemisphere in contact with a rigid flat. This study focuses on the time-dependent stress relaxation of a fully plastic asperity. Assuming a Garofalo (hyperbolic sine) type material creep law, the asperity shows two distinct phases of relaxation. In the first phase, the asperity creeps with an accelerated creep rate and shows a contact area increase similar to that of a cylindrical geometry. In the second phase, no contact area change can be measured and the asperity creeps with a slower rate. Empirical evolution laws for the asperity creep behavior are presented, analyzing the influence of both material and geometrical parameters. The results are interpreted in terms of transient friction.

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Copyright © 2009 by American Society of Mechanical Engineers
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Figures

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Figure 1

(a) Sketch of the geometry. (b) The finite element mesh used for the simulation.

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Figure 2

Time evolution of force (solid line, left vertical axis) and contact area (dashed line, right vertical axis). The inset shows the data in logarithmic scaling.

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Figure 3

Distribution of equivalent stress σ for different stages of the creep process. The stress line values are given in MPa.

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Figure 4

Normalized area change, enlarged from Fig. 2

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Figure 5

Maximum area change ΔA for variation in the initial area A0

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Figure 6

Maximum area change ΔA for variation in the creep parameter C2

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Figure 7

Creep law ṗ(p) for parameter set 1 (Table 1)

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Figure 8

Creep law ṗ(p) for variation in the interference δ. Inset: fit parameter α2.

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Figure 9

Creep law ṗ(p) for variation in the creep parameters C1 and C2

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Figure 10

Fit parameters Ai (left axis) and αi (right axis) for variation in the creep parameters C1 and C2

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