The Graves Condition for Incompressible Finite Elasticity
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.
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
Mechanical and Aerospace Engineering
Keywords and Phrases
Incompressible Finite Elasticity
Article - Journal
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