Fast Stiffness Matrix Calculation for Nonlinear Finite Element MethodReport as inadecuate




Fast Stiffness Matrix Calculation for Nonlinear Finite Element Method - Download this document for free, or read online. Document in PDF available to download.

Journal of Applied Mathematics - Volume 2014 2014, Article ID 932314, 12 pages -

Research Article

Department of Computer Engineering, Bilkent University, 06800 Ankara, Turkey

Department of Mechanical Engineering, Bilkent University, 06800 Ankara, Turkey

Received 29 May 2014; Revised 24 July 2014; Accepted 6 August 2014; Published 28 August 2014

Academic Editor: Henggui Zhang

Copyright © 2014 Emir Gülümser et al. 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 propose a fast stiffness matrix calculation technique for nonlinear finite element method FEM. Nonlinear stiffness matrices are constructed using Green-Lagrange strains, which are derived from infinitesimal strains by adding the nonlinear terms discarded from small deformations. We implemented a linear and a nonlinear finite element method with the same material properties to examine the differences between them. We verified our nonlinear formulation with different applications and achieved considerable speedups in solving the system of equations using our nonlinear FEM compared to a state-of-the-art nonlinear FEM.





Author: Emir Gülümser, Uğur Güdükbay, and Sinan Filiz

Source: https://www.hindawi.com/



DOWNLOAD PDF




Related documents