Submitted Paper
(2009)
Authors:
Helmut Abels - Maria Giovanna Mora - Stefan Müller
Keywords:
dimension reduction, nonlinear elasticity, von Kármán plate equation, wave equation, elastodynamics
Abstract:
The asymptotic behaviour of the 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.![[PS]](/style/ps.png)
![[PDF]](/style/pdf.png)
[BibTeX Entry]
Available Files:
dynamic_convergence.pdf
abstract.tex (abstract.ps, abstract.pdf)
