A Caltech Library Service

Unstable Elastic Materials and the Viscoelastic Response of Bars in Tension

Abeyaratne, R. and Knowles, J. K. (1988) Unstable Elastic Materials and the Viscoelastic Response of Bars in Tension. Journal of Applied Mechanics, 55 (2). pp. 491-492. ISSN 0021-8936. doi:10.1115/1.3173707.

PDF - Published Version
See Usage Policy.


Use this Persistent URL to link to this item:


Some homogeneous elastic materials are capable of sustaining finite equilibrium deformations with discontinuous strains. For materials of this kind, the energetics of isothermal, quasi-static motions may differ from those conventionally associated with elastic behavior. When equilibrium states involving strain jumps occur during such motions, the rate of increase of stored energy in a portion of the body may no longer coincide with the rate of work of the external forces present. In general, energy balance now includes an additional effect due to the presence of moving strain discontinuities. As a consequence, the macroscopic response of the body may be dissipative. This fact makes it possible to model certain types of inelastic behavior in solids with the help of such "unstable" elastic materials; see, for example, Abeyaratne and Knowles (1987a,b,c).

Item Type:Article
Related URLs:
URLURL TypeDescription
Additional Information:© 1988 ASME. Manuscript received by ASME Applied Mechanics Division November 10, 1987. The results reported here were obtained in the course of an investigation supported in part by the U.S. Office of Naval Research under Contract N00014-87-K-0117.
Funding AgencyGrant Number
Office of Naval Research (ONR)N00014-87-K-0117
Issue or Number:2
Record Number:CaltechAUTHORS:20141104-135257842
Persistent URL:
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:51241
Deposited By: Tony Diaz
Deposited On:04 Nov 2014 21:58
Last Modified:10 Nov 2021 19:07

Repository Staff Only: item control page