Conti, Sergio and Dolzmann, Georg (2015) On the Theory of Relaxation in Nonlinear Elasticity with Constraints on the Determinant. ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 217 (2). pp. 413-437. ISSN 0003-9527, 1432-0673
Full text not available from this repository. (Request a copy)Abstract
We consider vectorial variational problems in nonlinear elasticity of the form , where W is continuous on matrices with a positive determinant and diverges to infinity along sequences of matrices whose determinant is positive and tends to zero. We show that, under suitable growth assumptions, the functional is an upper bound on the relaxation of I, and coincides with the relaxation if the quasiconvex envelope W (qc) of W is polyconvex and has p-growth from below with . This includes several physically relevant examples. We also show how a constraint of incompressibility can be incorporated in our results.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | NEMATIC ELASTOMERS; SUFFICIENT CONDITIONS; GAMMA-CONVERGENCE; ENERGY; CAVITATION; MEMBRANE; |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics > Prof. Dr. Georg Dolzmann |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 03 Jul 2019 13:06 |
| Last Modified: | 03 Jul 2019 13:06 |
| URI: | https://pred.uni-regensburg.de/id/eprint/5164 |
Actions (login required)
 |
View Item |
