Effects of Surface Stresses on Contact Problems of an Elastic Half Plane With a Circular Cavity

OU Zhi-ying; WU Ya-wen

doi:10.3879/j.issn.1000-0887.2015.06.005

Volume 36 Issue 6

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OU Zhi-ying, WU Ya-wen. Effects of Surface Stresses on Contact Problems of an Elastic Half Plane With a Circular Cavity[J]. Applied Mathematics and Mechanics, 2015, 36(6): 607-615. doi: 10.3879/j.issn.1000-0887.2015.06.005

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Effects of Surface Stresses on Contact Problems of an Elastic Half Plane With a Circular Cavity

doi: 10.3879/j.issn.1000-0887.2015.06.005

School of Science, Lanzhou University of Technology,Lanzhou 730050, P.R.China

Funds: National Natural Science Foundation(11062004; 11362009); The Returned Overseas Scholars Fund of Gansu Province

Received Date: 2014-12-04
Rev Recd Date: 2015-05-14
Publish Date: 2015-06-15

Abstract

Abstract

In view of the importance of surface stress in controlling mechanical responses of nanoscale structures, the effects of surface stresses on the elastic field around a circular hole in an elastic half plane were analyzed. The complex variable function method was adopted to derive the fundamental solution to the contact problem. The deformation caused by the uniformly distributed traction on the plane surface and the surface stress along the cavity boundary was analyzed in detail. The results reveal strong sizedependence of the stress field and the surface deformation on the surface stress, and the surface displacement directly above the circular hole was a function of the surface stress.
- surface stress,
- nanosized cavity,
- half plane,
- uniform load

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References(17)

References

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