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An extended Eulerian method for contacts in Godunov formulations
Author(s) -
Vitali E.,
Lomov I. N.,
Antoun T. H.,
Fujino D. H.
Publication year - 2012
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.4379
Subject(s) - eulerian path , locality , godunov's scheme , set (abstract data type) , mathematics , state (computer science) , computer science , mathematical optimization , algorithm , mathematical analysis , numerical analysis , programming language , linguistics , philosophy , lagrangian
SUMMARY This paper offers a new method to treat contacts in Eulerian Godunov formulations. The inadequacy of classic Eulerian formulations to describe contacts behavior is identified in the lack of degrees of freedom. This limitation is overcome by employing a set of state variables per material for the calculation of multi‐material elements and faces. The extra state variables allow for the independent analysis of the materials present in the problem; materials interactions are characterized by introducing contact constraints in the formulation. The locality of the method limits the memory burden. Copyright © 2012 John Wiley & Sons, Ltd.