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RESEARCH PAPERS

Numerical Simulation for Three Dimensional Elastic-Plastic Contact with Hardening Behavior

[+] Author and Article Information
Fan Wang

Center for Surface Engineering and Tribology,  Northwestern University, 2145 Sheridan Road, Evanston, IL, 60208fanwang@northwestern.edu

Leon M. Keer

Center for Surface Engineering and Tribology,  Northwestern University, 2145 Sheridan Road, Evanston, IL, 60208

J. Tribol 127(3), 494-502 (Mar 24, 2005) (9 pages) doi:10.1115/1.1924573 History: Received June 23, 2004; Revised March 24, 2005

An elastic-plastic contact (EPC) solution and code is developed using a modified semi-analytical method. The indentation tests with different hardening behavior are simulated by using the developed EPC code. The distributions of contact pressure, residual stress and plastic strain are obtained and compared with the results of the finite element method models without hardening. Some techniques, such as fast Fourier transform and fast convergence method, are used to increase the computation speed.

Copyright © 2005 by American Society of Mechanical Engineers
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Figures

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Figure 1

Typical contact problem

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Figure 2

Grid system of the contact surface

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Figure 3

The three ranges for the development of plastic zone

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Figure 4

Stress strain relationships, (1) pure elastic, (2) elastic-perfect plastic, (3) linear hardening, and (4) power law hardening

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Figure 5

Grid system of the contact body in x‐z section

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Figure 6

Resolving process of elastic-plastic contact

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Figure 7

Simplified indentation test

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Figure 8

Swift’s hardening law

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Figure 9

Linear hardening law

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Figure 10

Initial and deformed contact surfaces in x‐z section

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Figure 11

Surface pressure distribution along x, load=4730mN

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Figure 12

Dimensionless contact radius versus dimensionless contact pressure for different material models, σY0=1200MPa

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Figure 14

Dimensionless approach ω∕ωc versus dimensionless mean pressure pm∕σY0

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Figure 15

Distribution of von Mises stress in x‐z section, (a) load=530mN, (b) load=4730mN

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Figure 16

Distribution of residual stress in x‐z section, (a) load=530mN, (b) load=4730mN

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Figure 17

Distribution of residual displacement u3(r) along x

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Figure 18

Distribution of equivalent plastic strain in x‐z section, (a) load=530mN, (b) load=4730mN

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Figure 21

Comparison of plastic region for different hardening behavior, ω∕ωc=11

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Figure 19

Comparison of plastic region for different hardening behavior, ω∕ωc=2

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Figure 20

Comparison of plastic region for different hardening behavior, ω∕ωc=6

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Figure 13

Dimensionless contact radius versus dimensionless contact pressure for different material models, σY0=600MPa

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