fast stiffness matrix calculation for nonlinear finite element method

Clicks: 138
ID: 191220
2014
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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.
Reference Key
glmser2014journalfast Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors ;Emir Gülümser;Uğur Güdükbay;Sinan Filiz
Journal Chemico-biological interactions
Year 2014
DOI
10.1155/2014/932314
URL
http://dx.doi.org/10.1155/2014/932314
Keywords
mathematics

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