Fast Stiffness Matrix Calculation for Nonlinear Finite Element Method
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...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
|
| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2014/932314 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832566875676999680 |
|---|---|
| author | Emir Gülümser Uğur Güdükbay Sinan Filiz |
| author_facet | Emir Gülümser Uğur Güdükbay Sinan Filiz |
| author_sort | Emir Gülümser |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-04a1328dce5b45d28c828b52cd83a0b9 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-04a1328dce5b45d28c828b52cd83a0b92025-02-03T01:02:50ZengWileyJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/932314932314Fast Stiffness Matrix Calculation for Nonlinear Finite Element MethodEmir Gülümser0Uğur Güdükbay1Sinan Filiz2Department of Computer Engineering, Bilkent University, 06800 Ankara, TurkeyDepartment of Computer Engineering, Bilkent University, 06800 Ankara, TurkeyDepartment of Mechanical Engineering, Bilkent University, 06800 Ankara, TurkeyWe 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.http://dx.doi.org/10.1155/2014/932314 |
| spellingShingle | Emir Gülümser Uğur Güdükbay Sinan Filiz Fast Stiffness Matrix Calculation for Nonlinear Finite Element Method Journal of Applied Mathematics |
| title | Fast Stiffness Matrix Calculation for Nonlinear Finite Element Method |
| title_full | Fast Stiffness Matrix Calculation for Nonlinear Finite Element Method |
| title_fullStr | Fast Stiffness Matrix Calculation for Nonlinear Finite Element Method |
| title_full_unstemmed | Fast Stiffness Matrix Calculation for Nonlinear Finite Element Method |
| title_short | Fast Stiffness Matrix Calculation for Nonlinear Finite Element Method |
| title_sort | fast stiffness matrix calculation for nonlinear finite element method |
| url | http://dx.doi.org/10.1155/2014/932314 |
| work_keys_str_mv | AT emirgulumser faststiffnessmatrixcalculationfornonlinearfiniteelementmethod AT ugurgudukbay faststiffnessmatrixcalculationfornonlinearfiniteelementmethod AT sinanfiliz faststiffnessmatrixcalculationfornonlinearfiniteelementmethod |