Skip Navigation


IMA Journal of Applied Mathematics Advance Access originally published online on June 23, 2006
IMA Journal of Applied Mathematics 2006 71(5):783-794; doi:10.1093/imamat/hxl010
This Article
Right arrow Full Text (PDF)
Right arrow All Versions of this Article:
71/5/783    most recent
hxl010v1
Right arrow Alert me when this article is cited
Right arrow Alert me if a correction is posted
Services
Right arrow Email this article to a friend
Right arrow Similar articles in this journal
Right arrow Similar articles in ISI Web of Science
Right arrow Alert me to new issues of the journal
Right arrow Add to My Personal Archive
Right arrow Download to citation manager
Right arrow Search for citing articles in:
ISI Web of Science (4)
Right arrowRequest Permissions
Google Scholar
Right arrow Articles by Sudak, L. J.
Right arrow Articles by Wang, X.
Right arrow Search for Related Content
Social Bookmarking
Add to CiteULike   Add to Connotea   Add to Del.icio.us  
What's this?

© The Author 2006. Published by Oxford University Press on behalf of the Institute of Mathematics and its Applications. All rights reserved.

Green's function in plane anisotropic bimaterials with imperfect interface

L. J. Sudak** and X. Wang

Department of Mechanical and Manufacturing Engineering, University of Calgary, Calgary, Alberta, Canada T2N-1N4

** Email: lsudak{at}ucalgary.ca

The fundamental solutions or Green's functions for 2D or 3D anisotropic media with imperfect interface remain a challenging problem. In this paper, a general method is presented for the rigorous solution for the 2D Green's function in an anisotropic elastic bimaterial subject to a line force or a line dislocation. Most significant is the fact that the bonding along the bimaterial interface is considered to be homogeneous imperfect. Specifically, the tractions are continuous but the displacements are discontinuous and proportional, in terms of interface stiffness parameters, to their respective traction components. Using complex variable techniques, the basic boundary-value problem for two analytic vector functions is reduced to a coupled linear first-order differential equation for a single analytic vector function defined in the lower half space. The coupled linear differential equation for the single analytic vector function can be subsequently decoupled into three independent linear first-order differential equations for three newly defined analytic functions. Closed-form solutions for the 2D Green's function are derived in terms of the exponential integral. Unlike previous works which involve some sort of inverse transform method to obtain the physical quantities from the transform domain, the key feature of the present method is that the physical quantities can be readily calculated without the need to perform any inverse transform operations.

Keywords: Stroh formalism; anisotropic bimaterial; Green's function; imperfect interface.

Received on 23 November 2005. accepted on 1 May 2006.


Add to CiteULike CiteULike   Add to Connotea Connotea   Add to Del.icio.us Del.icio.us    What's this?




Disclaimer: Please note that abstracts for content published before 1996 were created through digital scanning and may therefore not exactly replicate the text of the original print issues. All efforts have been made to ensure accuracy, but the Publisher will not be held responsible for any remaining inaccuracies. If you require any further clarification, please contact our Customer Services Department.