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Research Papers: Contact Mechanics

Simulation of Deep Spherical Indentation Using Eulerian Finite Element Methods

[+] Author and Article Information
D. Anderson1

Department of Mechanical Engineering, Dalhousie University, 1360 Barrington Street, Halifax, NS, B3J 1Z1, Canadad.anderson@dal.ca

A. Warkentin

Department of Mechanical Engineering, Dalhousie University, 1360 Barrington Street, Halifax, NS, B3J 1Z1, Canadaandrew.warkentin@dal.ca

R. Bauer

Department of Mechanical Engineering, Dalhousie University, 1360 Barrington Street, Halifax, NS, B3J 1Z1, Canadarobert.bauer@dal.ca

1

Corresponding author.

J. Tribol 133(2), 021401 (Mar 23, 2011) (8 pages) doi:10.1115/1.4003703 History: Received June 29, 2010; Revised February 17, 2011; Published March 23, 2011; Online March 23, 2011

Simulation of deep indentation, and the associated pile-up effects, requires a robust and accurate finite element model capable of naturally handling the large deformations present. This work successfully demonstrates that the Eulerian formulation is capable of accurately reproducing the forces and general material response of deep indentation. It was found that, in the absence of friction, sink-in dominates at indentation depths less than 1.1% of the indenter radius, there is a transition from sink-in to pile-up from 1.1% to 2.3% of the indenter radius, and pile-up is fully developed at indentation depths larger than 13.2% of the indenter radius for the 4340 steel workpiece and the 0.508 mm radius indenter presented in this work. Friction tended to marginally increase the sink-in and transition depths as well as reduce the material height at the onset of fully developed pile-up due to a reduction in the tensile radial strain directly under the indenter.

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Copyright © 2011 by American Society of Mechanical Engineers
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References

Figures

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Figure 1

Indentation geometry

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Figure 2

Representative numerical mesh

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Figure 3

Rigid indenter comparison

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Figure 4

Experimental apparatus

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Figure 5

MEMS target and search rays

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Figure 6

No load positioning error

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Figure 7

Analytical and numerical force comparison

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Figure 8

Deep numerical and experimental force comparison

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Figure 9

Material response at an indentation depth of 64 μm for various values of μ

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Figure 10

Comparison of measured indentation profile and numerical simulation

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