0
Research Papers

Micro/Nanocontact Between a Rigid Ellipsoid and an Elastic Substrate With Surface Tension

[+] Author and Article Information
W. K. Yuan, J. M. Long, Y. Ding

Department of Engineering Mechanics,
SVL,
Xi'an Jiaotong University,
Xi'an 710049, China

G. F. Wang

Department of Engineering Mechanics,
SVL,
Xi'an Jiaotong University,
Xi'an 710049, China
e-mail: wanggf@mail.xjtu.edu.cn

1Corresponding author.

Manuscript received September 18, 2016; final manuscript received October 15, 2016; published online November 7, 2016. Assoc. Editor: Harold S. Park.

J. Appl. Mech 84(1), 011012 (Nov 07, 2016) (7 pages) Paper No: JAM-16-1460; doi: 10.1115/1.4035032 History: Received September 18, 2016; Revised October 15, 2016

For micro/nanosized contact problems, the influence of surface tension becomes prominent. Based on the solution of a point force acting on an elastic half space with surface tension, we formulate the contact between a rigid ellipsoid and an elastic substrate. The corresponding singular integral equation is solved numerically by using the Gauss–Chebyshev quadrature formula. When the size of contact region is comparable with the elastocapillary length, surface tension significantly alters the distribution of contact pressure and decreases the contact area and indent depth, compared to the classical Hertzian prediction. We generalize the explicit expression of the equivalent contact radius, the indent depth, and the eccentricity of contact ellipse with respect to the external load, which provides the fundament for analyzing nanoindentation tests and contact of rough surfaces.

FIGURES IN THIS ARTICLE
<>
Copyright © 2017 by ASME
Your Session has timed out. Please sign back in to continue.

References

Figures

Grahic Jump Location
Fig. 2

The schematic of the elliptical contact region

Grahic Jump Location
Fig. 1

Indentation of a rigid ellipsoid on an elastic half space

Grahic Jump Location
Fig. 4

The pressure distribution within the contact region

Grahic Jump Location
Fig. 9

Variation of normalized eccentricity with respect to the ratio of χ to s

Grahic Jump Location
Fig. 3

Variation of semimajor a with respect to η for different values of θ

Grahic Jump Location
Fig. 5

The surface normal displacement along the x-axis

Grahic Jump Location
Fig. 6

The surface normal bulk stress along the x-axis

Grahic Jump Location
Fig. 7

Variation of normalized load with respect to (ABδ/C)1/2/s

Grahic Jump Location
Fig. 8

Variation of normalized load with respect to the ratio of re to s

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