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An energy momentum conserving algorithm using the variational formulation of visco‐plastic updates
Author(s) -
Noels L.,
Stainier L.,
Ponthot J.P.
Publication year - 2005
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.1480
Subject(s) - momentum (technical analysis) , context (archaeology) , expression (computer science) , algorithm , energy (signal processing) , mathematics , mathematical optimization , computer science , geology , paleontology , statistics , finance , economics , programming language
In this paper we use the variational formulation of elasto‐plastic updates proposed by Ortiz and Stainier ( Comput. Methods Appl. Mech. Eng . 1999; 171 :419– 444) in the context of consistent time integration schemes. We show that such a formulation is well suited to obtain a general expression of energy momentum conserving algorithms. Moreover, we present numerical examples that illustrate the efficiency of our developments. Copyright © 2005 John Wiley & Sons, Ltd.