Finite Element Analysis of the Ramberg-Osgood Bar

Dongming Wei, Mohamed B. M. Elgindi

Department of Mathematics, University of New Orleans, New Orleans, USA.
Texas A & M University-Qatar, Doha, Qatar.

DOI: 10.4236/ajcm.2013.33030                

Abstract

In this work, we present a priori error estimates of finite element approximations of the solution for the equilibrium equation of an axially loaded Ramberg-Osgood bar. The existence and uniqueness of the solution to the associated nonlinear two point boundary value problem is established and used as a foundation for the finite element analysis.

Keywords

Nonlinear Two Point Boundary Value Problem; Ramberg-Osgood Axial Bar; Existence and Uniqueness of Solutions; Finite Element Analysis; Convergence and a Priori Error Estimates

Conflicts of Interest

The authors declare no conflicts of interest.

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