Effect of Surface Stress on the Deformation of an Half-Plane Applied to Nanometer Materials

Article Preview

Abstract:

Based on the two distinct solutions, as classical solution for an elastic half space containing a circular hole at nanoscale, the complex variable and superposition method was proposed and employed to investigate the state of stress and displacement in an half space with surface tension for nanoelastic material.The results indicate some characteristics in half space which are different from those in classical elasticity theory .

You might also be interested in these eBooks

Info:

Periodical:

Pages:

66-69

Citation:

Online since:

July 2015

Export:

Price:

Permissions CCC:

Permissions PLS:

Сopyright:

© 2015 Trans Tech Publications Ltd. All Rights Reserved

Share:

Citation:

* - Corresponding Author

[1] T. Mura, Inclusion problem, ASME Journal of Applied Mechanics Review, 1988, pp.15-20.

Google Scholar

[2] G.R. Miller and L.M. Keer, Interaction between a rigid indenter and a near-surface void or inclusion, Journal of Applied Mechanics. 50 (1993) 615-620.

DOI: 10.1115/1.3167099

Google Scholar

[3] N.I. Muskhelishvili, Some Basic Problems of Mathematical Theory of Elasticity, Noordhoff Ltd., Groningen , (1963).

Google Scholar

[4] A. Verruijt, Deformations of an elastic half plane with a circular cavity, Int J. Solids. Structures. 35 (1998) 2795-2804.

DOI: 10.1016/s0020-7683(97)00194-7

Google Scholar

[5] W. C. Oliver, G. M. Pharr, An Improved Technique for Determining Hardness and Elastic Modulus Using Load and Displacement Sensing Indentation Experiment, Journal of Materials Research. 7(1992) 1564-1583.

DOI: 10.1557/jmr.1992.1564

Google Scholar

[6] Z.Y. Ou, S.D. Pang, Fundamental solutions to Hertzian contact problem at nanoscale, Acta Mech. 224 (2013) 109-121.

DOI: 10.1007/s00707-012-0731-z

Google Scholar

[7] G.F. Wang, X.Q. Feng, Effects of surface stresses on contact problems at nanoscale, J. Appl. Phys. 101(2013), 013510.

Google Scholar

[8] Amir K. Miri, Reza Avazmohammadi and Fuqian Yang, Effect of surface stress on the deformation of an elastic half-plane containning a nano-cylindrical hole under a surface loading, J. Comput Theor. Nanos. 8 (2011) 1-6.

DOI: 10.1166/jctn.2011.1683

Google Scholar

[9] M.E. Gurtin, A.I. Murdoch, A continuum theory of elastic material surfaces, Arch. Ration. Anal. 57 (1975) 291-323.

DOI: 10.1007/bf00261375

Google Scholar

[10] V. Shenoy, A. Sharma, Pattern Formation in a Thin Solid Film with Interactions, Phys. Rev. Lett. 86( 2001).

Google Scholar

[11] K.L. Johnson, Contact Mechaics, Cambridge University Press, London, (1985).

Google Scholar