An energy momentum conserving algorithm using the variational formulation of visco‐plastic updates | Zendy

Noels L. | Zendy; Stainier L. | Zendy; Ponthot J.P. | Zendy

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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) - viscoelasticity , momentum (technical analysis) , context (archaeology) , mathematics , expression (computer science) , energy (signal processing) , mathematical optimization , algorithm , computer science , physics , geology , statistics , paleontology , finance , economics , programming language , thermodynamics

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.

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