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has been cited by the following article:

• TITLE: Finite Element Analysis of the Ramberg-Osgood Bar

  AUTHORS: Dongming Wei, Mohamed B. M. Elgindi

  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

  JOURNAL NAME: American Journal of Computational Mathematics, Vol.3 No.3, August 20, 2013

  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.