IJPAM: Volume 53, No. 4 (2009)
FINITE ELEMENT ANALYSIS OF
A NONLINEAR BEAM ON A WINKLER FOUNDATION
A NONLINEAR BEAM ON A WINKLER FOUNDATION
Peter Wolfe
Department of Mathematics
University of Maryland
College Park, MD 20742, USA
e-mail: pnw@math.umd.edu
Department of Mathematics
University of Maryland
College Park, MD 20742, USA
e-mail: pnw@math.umd.edu
Abstract.In this paper we continue our study of the displacement of an elastic beam resting on a Winkler foundation which reacts only in compression. Here we assume a nonlinear stress-strain law. We use a mixed finite element method with piecewise linear elements to obtain an approximate solution of the fourth order equation. We derive error estimates for the solution we obtain and illustrate our procedure with an example.
Received: May 13, 2009
AMS Subject Classification: 65L60, 74B20, 74G15, 74S05
Key Words and Phrases: Winkler foundation, nonlinear elasticity, finite elements, mixed method
Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2009
Volume: 53
Issue: 4