%0 Journal Article %T Finite Element Analysis of the Ramberg-Osgood Bar %A Dongming Wei %A Mohamed B. M. Elgindi %J American Journal of Computational Mathematics %P 211-216 %@ 2161-1211 %D 2013 %I Scientific Research Publishing %R 10.4236/ajcm.2013.33030 %X
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.
%K Nonlinear Two Point Boundary Value Problem %K Ramberg-Osgood Axial Bar %K Existence and Uniqueness of Solutions %K Finite Element Analysis %K Convergence and a Priori Error Estimates %U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=36013