- Title
- On the convexity of nonlinear elastic energies in the right Cauchy-Green tensor
- Creator
- Gao, David; Neff, Patrizio; Roventa, Ionel; Thiel, Christian
- Date
- 2017
- Type
- Text; Journal article
- Identifier
- http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/159312
- Identifier
- vital:11948
- Identifier
-
https://doi.org/10.1007/s10659-016-9601-6
- Identifier
- ISSN:0374-3535
- Abstract
- We present a sufficient condition under which a weak solution of the Euler-Lagrange equations in nonlinear elasticity is already a global minimizer of the corresponding elastic energy functional. This criterion is applicable to energies which are convex with respect to the right Cauchy-Green tensor , where denotes the gradient of deformation. Examples of such energies exhibiting a blow up for are given.
- Publisher
- Springer
- Relation
- Journal of Elasticity Vol. 127, no. 2 (2017), p. 303-308
- Rights
- Copyright © Springer Science+Business Media Dordrecht 2016
- Rights
- Open Access
- Rights
- This metadata is freely available under a CCO license
- Subject
- 0102 Applied Mathematics; 0905 Civil Engineering; 0912 Materials Engineering; Nonlinear elasticity; Convexity; Global minimizers; Second Piola-Kirchhoff stress tensor
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