Hostname: page-component-78c5997874-g7gxr Total loading time: 0 Render date: 2024-11-06T01:21:09.229Z Has data issue: false hasContentIssue false

Plane elastostatic transmission through an interface layer

Published online by Cambridge University Press:  16 October 2000

K. ADEROGBA
Affiliation:
Department of Mathematics, University of Lagos, Lagos, Nigeria.

Abstract

A theorem is established for generating by differentiation and integration the Airy stress function due to the presence of any arbitrary two-dimensional singularity near a thick layer separating two other dissimilar semi-infinite solids directly from the corresponding Airy stress function for the unbounded homogeneous solid. A systematic application of the theorem yields the dominant distant effect associated with any arbitrary influencing line singularity in a well-structured physically interpretable form. As an illustration, the problem of a concentrated line force of arbitrary orientation near the interface layer is examined from this standpoint. It is found that a force aligned normal to the interface layer produces a far-field effect of an edge dislocation with Burgers vector parallel to the interface layer, together with a semi-infinite plane of centres of dilatation, whereas a force aligned parallel to the interface layer produces a far-field effect of an edge dislocation with Burgers vector perpendicular to the interface layer together with a semi-infinite plane of concentrated couples.

Type
Research Article
Copyright
2000 Cambridge Philosophical Society

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)