The Graves Condition for Incompressible Finite Elasticity

Author

G. P. MacSithigh, Missouri University of Science and TechnologyFollow

Abstract

The Graves and Weierstrass necessary conditions for minimizers are of central importance in the study of elastic materials that can undergo a change of phase. Proofs of these results applicable to the case of unconstrained materials abound. For the case of an incompressible material, however, only partial results have been established. Here, a complete proof is given.

Recommended Citation

G. P. MacSithigh, "The Graves Condition for Incompressible Finite Elasticity," Mathematics and Mechanics of Solids, SAGE Publications, Jan 2003.

The definitive version is available at https://doi.org/10.1177/1081286503008003004

Department(s)

Mechanical and Aerospace Engineering

Keywords and Phrases

Incompressible Finite Elasticity

International Standard Serial Number (ISSN)

1081-2865

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2003 SAGE Publications, All rights reserved.

Publication Date

01 Jan 2003