Advanced Search

Journal Navigation

Journal Home

Subscriptions

Archive

Contact Us

Table of Contents

Sign In to gain access to subscriptions and/or personal tools.
Mathematics and Mechanics of Solids
This Article
Right arrow Full Text (PDF)
Right arrow References
Right arrow Alert me when this article is cited
Right arrow Alert me if a correction is posted
Right arrow Citation Map
Services
Right arrow Email this article to a friend
Right arrow Similar articles in this journal
Right arrow Alert me to new issues of the journal
Right arrow Add to Saved Citations
Right arrow Download to citation manager
Right arrowRequest Permissions
Right arrow Request Reprints
Right arrow Add to My Marked Citations
Citing Articles
Right arrow Citing Articles via HighWire
Right arrow Citing Articles via Google Scholar
Right arrow Citing Articles via Scopus
Google Scholar
Right arrow Articles by Chadwick, P.
Right arrow Search for Related Content
Social Bookmarking
Add to CiteULike   Add to Connotea   Add to Del.icio.us   Add to Digg   Add to Reddit   Add to Technorati  
What's this?

The Application of the Stroh Formalism to Prestressed Elastic Media

P. Chadwick

School of Mathematics, University of East Anglia, Norwich NR4 7TJ, United Kingdom

The Stroh formalism is a six-dimensional representation of the equations governing plane motions of an elastic body, stemming from a juxtaposition of the displacement and a traction vector. Crucially, the formalism leads to a sextic eigenvalue problem which is the mainspring of far-reaching theoretical developments. It is known that the formalism extends to prestressed unconstrained elastic media subject to a restriction on the prestress. In this paper, the limitation is removed, and it is shown that the sextic eigenvalue problem can also be constructed for a prestressed elastic medium which is incompressible. The latter problem is exhibited as the limit of the former in a process in which the condition of incompressibility is reached through a one-parameter family of nearly incompressible elastic materials. As an application of the theory, the analysis of surface waves in a homogeneously prestressed semi-infinite body of incompressible elastic material is carried as far as the derivation of the secular equation, determining the speed of propagation. Complete results are obtained in the special case in which the material is orthotropic, with the symmetry axes aligned with the principal axes of prestress and the surface wave basis.

Mathematics and Mechanics of Solids, Vol. 2, No. 4, 379-403 (1997)
DOI: 10.1177/108128659700200402
Add to CiteULike CiteULike   Add to Connotea Connotea   Add to Del.icio.us Del.icio.us   Add to Digg Digg   Add to Reddit Reddit   Add to Technorati Technorati    What's this?


This article has been cited by other articles:


Home page
 Mathematics and Mechanics of SolidsHome page
M. Destrade
Stoneley Waves and Interface Stability of Bell Materials in Compression; Comparison with Rubber
Mathematics and Mechanics of Solids, April 1, 2005; 10(2): 227 - 246.
[Abstract] [PDF]