Abels, Helmut and Mora, Maria Giovanna and Mueller, Stefan (2011) The time-dependent von Karman plate equation as a limit of 3d nonlinear elasticity. CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 41 (1-2). pp. 241-259. ISSN 0944-2669,
Full text not available from this repository. (Request a copy)Abstract
The asymptotic behaviour of solutions of three-dimensional nonlinear elastodynamics in a thin plate is studied, as the thickness h of the plate tends to zero. Under appropriate scalings of the applied force and of the initial values in terms of h, it is shown that three-dimensional solutions of the nonlinear elastodynamic equation converge to solutions of the time-dependent von Karman plate equation.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | 3-DIMENSIONAL ELASTICITY; JUSTIFICATION; MODEL; CONVERGENCE; SHELLS; RODS; |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics > Prof. Dr. Helmut Abels |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 18 Jun 2020 05:18 |
| Last Modified: | 18 Jun 2020 05:18 |
| URI: | https://pred.uni-regensburg.de/id/eprint/20855 |
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