Non-elliptic elastic materials and the modeling of dissipative mechanical behavior: an example
- Creators
- Abeyaratne, Rohan
- Knowles, James K.
Abstract
In the context of a special problem, this paper investigates the possibility of modeling dissipative mechanical response in solids on the basis of the equilibrium theory of finite elasticity for materials that may lose ellipticity at large strains. Quasi-static motions for such materials are in general dissipative if the associated equilibrium fields involve discontinuous displacement gradients. For the problem treated, consideration of such deformations is shown to lead naturally to an internal variable formalism similar to those used to describe macroscopic plastic behavior arising from microstructural effects. For quasi-static motions which are maximally dissipative in a specified sense, this formalism leads to a mechanical response which resembles that associated with the pseudo-elastic effect in shape-memory alloys.
Additional Information
© 1987 Martinus Nijhoff Publishers, Dordrecht. Received 4 August 1986. The results communicated in this paper were obtained in the course of an investigation supported by the US Army Research Office, the US National Science Foundation, Michigan State University and the California Institute of Technology. The authors gratefully acknowledge helpful conversations with Ares Rosakis, Eli Sternberg and Thad Vreeland.Additional details
- Eprint ID
- 51019
- Resolver ID
- CaltechAUTHORS:20141029-132515351
- Army Research Office (ARO)
- NSF
- Michigan State University
- Caltech
- Created
-
2014-10-29Created from EPrint's datestamp field
- Updated
-
2021-11-10Created from EPrint's last_modified field