Advanced Search

Journal Navigation

Journal Home

Subscriptions

Archive

Contact Us

Table of Contents

CiteULike is a free service for managing and discovering scholarly references - click here to get started.

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 Leslie, D. J.
Right arrow Articles by Scorr, N. H.
Right arrow Search for Related Content
Social Bookmarking
Add to CiteULike   Add to Complore   Add to Connotea   Add to Del.icio.us   Add to Digg   Add to Reddit   Add to Technorati   Add to Twitter  
What's this?

Near Incompressibility at Uniform Temperature or Entropy in Isotropic Thermoelasticity

D. J. Leslie

N. H. Scorr

School of Mathematics, University of East Anglia, Norwich NR4 7TJ, U.K.

This article is concerned with longitudinal wave propagation in an isotropic thermoelastic material that is nearly incompressible at either uniform temperature or uniform entropy. A dimensionless effective bulk modulus X is defined such that X-+ oo corresponds to incompressibility at uniform temperature. For 0 < X < 1, both longitudinal waves are stable, but for X > 1, one is stable and the other unstable. If X = 1, there is only one propagating mode, and this is stable. Another dimensionless effective bulk modulus X is defined such that X -+ oo corresponds to incompressibility at uniform entropy. For 0 < X < oo, both longitudinal waves are stable. Making the identification X = x/(1-X), among others, enables the equivalence of the two types of near constraint to be demonstrated. In particular, X -* oo corresponds to-+ 1-, so that incompressibility at uniform entropy corresponds to near incompressibility at constant temperature. Many graphical results are presented to illustrate various points of theory.

Mathematics and Mechanics of Solids, Vol. 3, No. 3, 243-275 (1998)
DOI: 10.1177/108128659800300301
Add to CiteULike CiteULike   Add to Complore Complore   Add to Connotea Connotea   Add to Del.icio.us Del.icio.us   Add to Digg Digg   Add to Reddit Reddit   Add to Technorati Technorati   Add to Twitter Twitter    What's this?


This article has been cited by other articles:


Home page
 Mathematics and Mechanics of SolidsHome page
D. J. Leslie and N. H. Scott
Wave Stability for Near-Incompressibility at Uniform Temperature or Entropy in Generalized Isotropic Thermoelasticity
Mathematics and Mechanics of Solids, June 1, 2000; 5(2): 157 - 202.
[Abstract] [PDF]