Startseite UB

The time-dependent von Kármán plate equation as a limit of 3D nonlinear elasticity

Abels, Helmut and Mora, Maria Giovanna and Müller, Stefan (2010) The time-dependent von Kármán plate equation as a limit of 3D nonlinear elasticity. Preprintreihe der Fakultät Mathematik 1/2010, Working Paper. (Unpublished)

[img]
Preview
PDF
Download (277kB)

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 ...

plus


Export bibliographical data



Item Type:Monograph (Working Paper)
Date:2010
Institutions:Mathematics > Prof. Dr. Helmut Abels
Classification:
NotationType
74K20MSC
74B20MSC
74H10MSC
35L70MSC
Keywords:dimension reduction, nonlinear elasticity, von Kármán plate equation, wave equation, elastodynamics
Subjects:500 Science > 510 Mathematics
Status:Unpublished
Refereed:No, this version has not been refereed yet (as with preprints)
Created at the University of Regensburg:Yes
Owner: Dr. Gernot Deinzer
Deposited On:12 Feb 2010 09:43
Last Modified:13 Mar 2014 12:53
Item ID:12837
Owner Only: item control page

Downloads

Downloads per month over past year

  1. University

University Library

Publication Server

Contact person
Gernot Deinzer

Telefon 0941 943-2759
Contact