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Non-elliptic elastic materials and the modeling of dissipative mechanical behavior: an example

Abeyaratne, Rohan and Knowles, James K. (1987) Non-elliptic elastic materials and the modeling of dissipative mechanical behavior: an example. Journal of Elasticity, 18 (3). pp. 227-278. ISSN 0374-3535. https://resolver.caltech.edu/CaltechAUTHORS:20141029-132515351

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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.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1007/BF00044195DOIArticle
http://link.springer.com/article/10.1007%2FBF00044195PublisherArticle
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.
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Army Research Office (ARO)UNSPECIFIED
NSFUNSPECIFIED
Michigan State UniversityUNSPECIFIED
CaltechUNSPECIFIED
Issue or Number:3
Record Number:CaltechAUTHORS:20141029-132515351
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20141029-132515351
Official Citation:Abeyaratne, R., & Knowles, J. (1987). Non-elliptic elastic materials and the modeling of dissipative mechanical behavior: an example. Journal of Elasticity, 18(3), 227-278. doi: 10.1007/bf00044195
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:51019
Collection:CaltechAUTHORS
Deposited By: Jason Perez
Deposited On:29 Oct 2014 21:23
Last Modified:03 Oct 2019 07:29

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