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The time-dependent von Kármán plate equation as a limit of 3d nonlinear elasticity.
- Source :
- Calculus of Variations & Partial Differential Equations; May2011, Vol. 41 Issue 1/2, p241-259, 19p
- Publication Year :
- 2011
-
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 Kármán plate equation. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 09442669
- Volume :
- 41
- Issue :
- 1/2
- Database :
- Complementary Index
- Journal :
- Calculus of Variations & Partial Differential Equations
- Publication Type :
- Academic Journal
- Accession number :
- 59439116
- Full Text :
- https://doi.org/10.1007/s00526-010-0360-0