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Eulerian formulation using stabilized finite element method for large deformation solid dynamics
Author(s) -
Okazawa S.,
Kashiyama K.,
Kaneko Y.
Publication year - 2007
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.2057
Subject(s) - finite element method , eulerian path , necking , smoothed finite element method , material point method , mixed finite element method , extended finite element method , mathematics , galerkin method , mathematical analysis , mechanics , boundary knot method , physics , structural engineering , lagrangian , engineering , thermodynamics , boundary element method
This paper describes an Eulerian formulation for large deformation solid dynamics. In the present Eulerian approach, an advective equation is solved using the Stream‐Upwind/Petrov–Galerkin finite element method. The Eulerian finite element method is applied to path‐dependent solid analyses such as impact bar and ductile necking problems. These computational results using the Eulerian finite element method are compared with the results obtained from using the Lagrangian finite element method and an Eulerian formulation based on a finite difference method. Copyright © 2007 John Wiley & Sons, Ltd.