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Stabilized updated Lagrangian corrected SPH for explicit dynamic problems
Author(s) -
Vidal Y.,
Bonet J.,
Huerta A.
Publication year - 2006
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.1859
Subject(s) - lagrangian , eulerian path , mathematics , distortion (music) , instability , lagrangian and eulerian specification of the flow field , smoothed particle hydrodynamics , zero (linguistics) , mathematical optimization , classical mechanics , computer science , physics , mechanics , amplifier , computer network , linguistics , philosophy , bandwidth (computing)
Smooth particle hydrodynamics with a total Lagrangian formulation are, in general, more robust than finite elements for large distortion problems. Nevertheless, updating the reference configuration may still be necessary in some problems involving extremely large distortions. However, as discussed here, a standard updated formulation suffers the presence of zero‐energy modes that are activated and may completely spoil the solution. It is important to note that, unlike an Eulerian formulation, the updated Lagrangian does not present tension instability but only zero‐energy modes. Here a stabilization technique is incorporated to the updated formulation to obtain an improved method without any mechanisms and which is capable to solve problems with extremely large distortions. Copyright © 2006 John Wiley & Sons, Ltd.