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


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.

Copyright © 2009 by American Society of Mechanical Engineers
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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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