Fast Stiffness Matrix Calculation for Nonlinear Finite Element Method
Joint Authors
Gudukbay, U.
Gülümser, Emir
Filiz, Sinan
Source
Journal of Applied Mathematics
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-08-28
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Gülümser, Emir& Gudukbay, U.& Filiz, Sinan. 2014. Fast Stiffness Matrix Calculation for Nonlinear Finite Element Method. Journal of Applied Mathematics،Vol. 2014, no. 2014, pp.1-12.
https://search.emarefa.net/detail/BIM-1039804
Modern Language Association (MLA)
Gülümser, Emir…[et al.]. Fast Stiffness Matrix Calculation for Nonlinear Finite Element Method. Journal of Applied Mathematics No. 2014 (2014), pp.1-12.
https://search.emarefa.net/detail/BIM-1039804
American Medical Association (AMA)
Gülümser, Emir& Gudukbay, U.& Filiz, Sinan. Fast Stiffness Matrix Calculation for Nonlinear Finite Element Method. Journal of Applied Mathematics. 2014. Vol. 2014, no. 2014, pp.1-12.
https://search.emarefa.net/detail/BIM-1039804
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1039804