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RESEARCH PAPERS

A Finite Element Study of the Residual Stress and Deformation in Hemispherical Contacts

[+] Author and Article Information
Robert Jackson, Itti Chusoipin, Itzhak Green

George W. Woodruff School of Mechanical Engineering, Georgia Institute of Technology, Atlanta, GA 30332-0405

J. Tribol 127(3), 484-493 (Jun 13, 2005) (10 pages) doi:10.1115/1.1843166 History: Received February 20, 2004; Revised October 20, 2004; Online June 13, 2005
Copyright © 2005 by ASME
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References

Figures

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Diagram of loaded (b) and unloaded (c) contact of deforming elastoplastic hemispheres and a rigid flat
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Example of used FEM mesh
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Schematic of the coordinate system and boundary conditions used in the FEM
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The normalized radial surface displacement vs the normalized radial distance in the loaded condition for (a) small and (b) large normalized interference depths
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The normalized axial displacement vs the normalized radial distance in the loaded condition for (a) small and (b) large normalized interference depths
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The normalized radial residual displacement vs the normalized radial distance of the hemisphere unloaded from (a) small and (b) large normalized interference depths
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The normalized axial displacement vs the normalized radial distance of the hemisphere unloaded from (a) small and (b) large normalized interference depths
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Contour plots of the complete stress tensor for a hemispherical contact unloaded from ω* =3.92: (a) radial stress, σx/Sy, (b) axial stress, σy/Sy, (c) hoop stress, σz/Sy, and (d) shear stress, τxy/Sy
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Contour plots of the complete stress tensor for a hemispherical contact unloaded from ω* =35.0: (a) radial stress, σx/Sy, (b) axial stress, σy/Sy, (c) hoop stress, σz/Sy, and (d) shear stress, τxy/Sy
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Contour plot of the normalized elastic residual von Mises stress (σvm/Sy) at various unloaded normalized interferences: (a) ω* =2.14, (b) ω* =3.92, (c) ω* =5.71, and (d) ω* =15.00
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Contour plot of the normalized residual von Mises stress (σvm/Sy) at various unloaded normalized interferences at the onset and formation of plastic residual stresses: (a) ω* =25.0, (b) ω* =40.0, (c) ω* =68.6, and (d) ω* =100.0
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The normalized maximum von Mises residual stress of the unloaded hemisphere as a function of the unloaded ω*
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The normalized surface displacement of aluminum and steel hemispheres loaded to ω* =135 vs the normalized radial location
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The normalized residual surface displacement of aluminum and steel hemispheres unloaded from ω* =135 vs the normalized radial location
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Schematic for the approximation of the location of the critical contact radius before loading (solid line) and after loading (dashed line)

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