Table of Contents
Journal of Structures
Volume 2014, Article ID 754561, 9 pages
http://dx.doi.org/10.1155/2014/754561
Research Article

Finite Element Analysis of Structures Using -Continuous Cubic B-Splines or Equivalent Hermite Elements

Mechanical Design and Control Systems Department, School of Mechanical Engineering, National Technical University of Athens, Heroon Polytechniou 9, Zografou Campus, 157 80 Athens, Greece

Received 15 June 2014; Accepted 13 October 2014; Published 13 November 2014

Academic Editor: Zhongwei Guan

Copyright © 2014 Christopher Provatidis. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We compare contemporary practices of global approximation using cubic B-splines in conjunction with double multiplicity of inner knots (-continuous) with older ideas of utilizing local Hermite interpolation of third degree. The study is conducted within the context of the Galerkin-Ritz formulation, which forms the background of the finite element structural analysis. Numerical results, concerning static and eigenvalue analysis of rectangular elastic structures in plane stress conditions, show that both interpolations lead to identical results, a finding that supports the view that they are mathematically equivalent.