Conti, Sergio and Dolzmann, Georg (2007) Derivation of a plate theory for incompressible materials. COMPTES RENDUS MATHEMATIQUE, 344 (8). pp. 541-544. ISSN 1631-073X,
Full text not available from this repository. (Request a copy)Abstract
We derive a two-dimensional model for elastic plates as a Gamma-limit of three-dimensional nonlinear elasticity with the constraint of incompressibility. The energy density of the reduced problem describes plate bending, and is determined from the elastic moduli at the identity of the energy density of the three-dimensional problem. Without the constraint of incompressibility, Gamma-convergence to a plate theory was first derived by Friesecke, James and Moller. The main difficulty in the present result is the construction of a recovery sequence which satisfies pointwise the nonlinear constraint of incompressibility.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | NONLINEAR 3-DIMENSIONAL ELASTICITY; GEOMETRIC RIGIDITY; NEMATIC ELASTOMERS; VARIATIONAL LIMIT; MEMBRANE MODEL; JUSTIFICATION; |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics > Prof. Dr. Georg Dolzmann |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 14 Dec 2020 11:38 |
| Last Modified: | 14 Dec 2020 11:38 |
| URI: | https://pred.uni-regensburg.de/id/eprint/32882 |
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