0
Research Papers: Contact Mechanics

A Fast Correction for Elastic Quarter-Space Applied to 3D Modeling of Edge Contact Problems

[+] Author and Article Information
Raynald Guilbault

Department of Mechanical Engineering, Ecole de Technologie Superieure, 1100 rue Notre-Dame Ouest, Montreal, QC, H3C 1K3, Canada e-mail: raynald.guilbault@etsmtl.ca

J. Tribol 133(3), 031402 (Jul 01, 2011) (10 pages) doi:10.1115/1.4003766 History: Received September 21, 2010; Revised February 28, 2011; Published July 01, 2011; Online July 01, 2011

Applying the Hertz theory to some non-Hertzian contact problems can produce acceptable results. Nevertheless, including the influence of free surfaces requires numerical methods, many of which are based on the Boussinesq–Cerruti solution. This paper presents a new approach, which is better capable of releasing quarter-space free surfaces from shear and normal internal stresses without engendering any increase in calculation times. The mirrored pressure for shear correction is multiplied by a correction factor (ψ), which accounts for the normal load. The expression ψ is derived from the Hetényi correction process, and the resulting displacements show an enhanced correspondence with validation finite element method models; with an imposed fluctuating pressure, the maximum edge displacement error was −21.90% for a shear load correction (Poisson coefficient ν=0.3), and introducing the ψ factor reduced the deviation to −9.55%, while for ν of 0.15, the maximum error was −11.30%, which was reduced to +0.60% with the ψ factor. This study introduces the factor ψ in a 3D elastic contact algorithm. The resulting calculation scheme is then able to simulate any point or line contact problems. Compared with coincident ends and sharp edge contact validation values, the model shows high conformity levels.

Copyright © 2011 by American Society of Mechanical Engineers
Your Session has timed out. Please sign back in to continue.

References

Figures

Grahic Jump Location
Figure 1

Experimental contact area (reproduced from Ref. [7])

Grahic Jump Location
Figure 2

Half-space free surface internal stresses

Grahic Jump Location
Figure 3

Pressure cells and mirror correction

Grahic Jump Location
Figure 4

Half-plane with concentrated forces

Grahic Jump Location
Figure 5

Quarter-plane states

Grahic Jump Location
Figure 6

Quarter-plane conditions

Grahic Jump Location
Figure 8

Edge displacement (ν=0.15)

Grahic Jump Location
Figure 9

Edge displacement (ν=0.30)

Grahic Jump Location
Figure 10

Edge displacement (ν=0.45)

Grahic Jump Location
Figure 11

Maximum error curve along edges

Grahic Jump Location
Figure 12

FEM model for coincident cylinder ends

Grahic Jump Location
Figure 13

Transversal pressure distributions for coincident end

Grahic Jump Location
Figure 14

3D OCCM pressure distribution

Grahic Jump Location
Figure 15

Pressure distributions along the z-axis

Grahic Jump Location
Figure 16

Normalized pressure distributions along the z-axis

Grahic Jump Location
Figure 17

Contact cell number influence

Grahic Jump Location
Figure 18

Contact cell number influence—error curves

Grahic Jump Location
Figure 19

Experiment—contact area (rubber sheet-aluminum cylinder)

Grahic Jump Location
Figure 20

OCCM—calculated pressure distribution

Grahic Jump Location
Figure 21

Experiment—measured and calculated contact areas

Grahic Jump Location
Figure 22

Experiment—experimental and calculated normalized contact widths

Grahic Jump Location
Figure 23

Rubber cylinder—aluminum plate—calculated pressure distribution

Grahic Jump Location
Figure 24

Rubber cylinder—aluminum plate—calculated contact area

Grahic Jump Location
Figure 25

Rubber cylinder—aluminum plate—calculated normalized contact width

Tables

Errata

Discussions

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In