A new formulation of internal forces for non-linear hypoelastic constitutive models verifying conservation laws

[en] This paper proposes a new formulation of the internal forces for hypoelastic constitutive models ensuring that the elastic work of deformation can be restored by the scheme. Moreover, we demonstrate that the work of the plastic deformation is positive and consistent with the material model.

Disciplines :

Mechanical engineering

Author, co-author :

Noels, Ludovic ; Université de Liège - ULiège > Département d'aérospatiale et mécanique > LTAS - Milieux continus et thermomécanique

Stainier, Laurent ; Université de Liège - ULiège > Département d'aérospatiale et mécanique > LTAS - Milieux continus et thermomécanique

Ponthot, Jean-Philippe ; Université de Liège - ULiège > Département d'aérospatiale et mécanique > LTAS-Mécanique numérique non linéaire

Bonini, Jérôme; SNECMA

Language :

English

Title :

A new formulation of internal forces for non-linear hypoelastic constitutive models verifying conservation laws

Publication date :

02 June 2003

Main work title :

Computational Fluid and Solid Mechanics 2003

Main work alternative title :

[en] Second MIT Conference on Fluid and Solid Mechanics

Editor :

Bathe, K. J.

Publisher :

Elsevier

ISBN/EAN :

978-008052947-9

Pages :

527-531

Additional URL :

http://dx.doi.org/10.1016/B978-008044046-0.50130-5

Funders :

F.R.S.-FNRS - Fonds de la Recherche Scientifique

Available on ORBi :

since 26 November 2008

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Bibliography

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Ponthot JP Unified stress update algorithms for the numerical simulation of large deformation elasto-plastic and elasto-viscoplastic processes. Int J Plasticity 2002, 18:91-126.
Noels L, Stainier L, Ponthot JP Energy-momentum conserving algorithm for non-linear hypoelastic constitutive models. Int J Numer Methods Engrg 2003, submitted.