Effect of Surface Elasticity on the Interaction Between Steps

[+] Author and Article Information
Gan-Yun Huang

Department of Engineering Mechanics, Tsinghua University, Beijing 100084, China

Shou-Wen Yu1

Department of Engineering Mechanics, Tsinghua University, Beijing 100084, Chinayusw@mail.tsinghua.edu.cn


Corresponding author.

J. Appl. Mech 74(4), 821-823 (Apr 16, 2006) (3 pages) doi:10.1115/1.2424473 History: Received December 28, 2005; Revised April 16, 2006

By taking into account the effect of surface elasticity, the problem of a half plane under concentrated normal or shear loads is first considered. The solutions for the displacements or alternatively named surface Green’s functions can be obtained by using the Fourier integral transform technique. Based on such solutions, the elastic interaction between two surface steps that are modeled as force dipoles is further investigated. The results show that the effect of surface elasticity on the interaction energy is significant when the distance between the two steps is in the range of several times the intrinsic length scale of the system. Further, surface elasticity seems to influence the interaction between steps with force components parallel to the surface more strongly than that when the steps exhibit force components only normal to the surface.

Copyright © 2007 by American Society of Mechanical Engineers
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Grahic Jump Location
Figure 2

The normalized interaction energy between two steps as a function of d∕l

Grahic Jump Location
Figure 1

Schematic illustration of two steps (a) and their force dipoles (b)



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