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TECHNICAL PAPERS

A Normal Force-Displacement Model for Contacting Spheres Accounting for Plastic Deformation: Force-Driven Formulation

[+] Author and Article Information
L. Vu-Quoc

e-mail: vu-quoc@ufl.edu

X. Zhang, L. Lesburg

Aerospace Engineering, Mechanics and Engineering Science, University of Florida, Gainesville, FL 32611

J. Appl. Mech 67(2), 363-371 (Sep 30, 1999) (9 pages) doi:10.1115/1.1305334 History: Received October 06, 1998; Revised September 30, 1999
Copyright © 2000 by ASME
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References

Figures

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Two spheres in contact, subjected to normal load P
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Normal force P versus normal displacement α: comparison between FEA results and Hertz theory for the loading path with Pmax=1500 N
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Distribution of normal stress on the contact surface at maximum normal force Pmax=1500 N: comparison between FEA results and Hertz theory
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Contact area radius a versus normal force P: comparison between FEA results and Hertz theory
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Variation of J2 and J2 along the z-axis for ν=0.3
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Contact radius aep versus normal force P for elasto-plastic contact, with comparison to Hertz theory (elastic)
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Plastic contact radius ap versus normal contact force P. Symbols (+, ○): FEA results. Solid line: model for loading. Dashed line: model for unloading.
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Normal stress distribution on the contact surface
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Normal displacement α versus the radius of total contact area (aep for elasto-plastic contact, aH for elastic contact)
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Plastic deformation increases the radius of relative contact curvature
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Loading paths of normal force
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Normal force P versus normal displacement α by different models for the loading path AFG in Fig. 11
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Contact areas radii aep,ae,ap versus normal force P by the proposed elasto-plastic NFD model for the loading path: AFG in Fig. 11
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Normal force P versus normal displacement α by different models for the loading path ADE in Fig. 11
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Normal force P versus normal displacement α by different models for the loading path ABC in Fig. 11

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