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2014 Fast Stiffness Matrix Calculation for Nonlinear Finite Element Method
Emir Gülümser, Uğur Güdükbay, Sinan Filiz
J. Appl. Math. 2014: 1-12 (2014). DOI: 10.1155/2014/932314


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.


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Emir Gülümser. Uğur Güdükbay. Sinan Filiz. "Fast Stiffness Matrix Calculation for Nonlinear Finite Element Method." J. Appl. Math. 2014 1 - 12, 2014.


Published: 2014
First available in Project Euclid: 2 March 2015

zbMATH: 07131987
MathSciNet: MR3256329
Digital Object Identifier: 10.1155/2014/932314

Rights: Copyright © 2014 Hindawi


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