On Copositive Matrices and Strong Ellipticity for Isotropic Elastic Materials

Simpson, H.
Spector, S.
1982
Thumbnail Image

View/Download File

3.pdf (962.09 KB)

Persistent link to this item

https://hdl.handle.net/11299/4517
Statistics
View Statistics

Journal Title

Journal ISSN

Volume Title

Title

On Copositive Matrices and Strong Ellipticity for Isotropic Elastic Materials

Alternative title

Authors

Published Date

1982

Publisher

Type

Abstract

In this paper we establish necessary and sufficient conditions for the strong-ellipticity of the equations governing an isotropic (compressible) nonlinerly elastic material at equilibrium. Our work extends results of Knowles and Sternberg [5] who obtained such conditions for both ordinary and strong ellipticity in the special case when the underlying deformations are plane.

Keywords

Description

Related to

Institute for Mathematics and Its Applications>IMA Preprints Series

Replaces

License

Collections

IMA Preprints Series

Series/Report Number

Funding information

Isbn identifier

Doi identifier

Previously Published Citation

Other identifiers

Suggested citation

Simpson, H.; Spector, S.. (1982). On Copositive Matrices and Strong Ellipticity for Isotropic Elastic Materials. Retrieved from the University Digital Conservancy, https://hdl.handle.net/11299/4517.

Content distributed via the University Digital Conservancy may be subject to additional license and use restrictions applied by the depositor. By using these files, users agree to the Terms of Use. Materials in the UDC may contain content that is disturbing and/or harmful. For more information, please see our statement on harmful content in digital repositories.