Sur une strategie adaptative pour les calc~ls non lineaires. Application aux calculs en viscoplasticite
Keywords:
non-linear simulation, error in constitutive relation, error estimation, adaptivity, non incremental method, viscoplasticityAbstract
We present an adaptive strategy for non-linear computations based on a non incremental method and on constitutive error estimCJtors which allow to control the quality of computations and to pilot the parameters of the algorithm. Some examples in th e case of viscoplastic structures are presented.
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References
[BAR 97] BARTHOD F.J., SCHMIDT M., STEIN E., « Error estimation mesh adaptivity for
elastoplastic deformations», Complas V, Computational Plasticity: Fundamentals and
applications, Owen - Oiate- Hinton Editors, CIMNE, Barcelona, 597-602, 1997.
[GAL 96] GALLIMARD L., LADEVEZE P., PELLE J.P., «Error estimation and adaptativity in
elastoplasticity », Int. J. for Num. Met h. in Engrg. 39, 189-217, 1996.
[GAL 97] GALLIMARD L., LADBVEZE P., PELLE J.P., «Error estimation and time-space
parameters optimization for FEM non linear computations», Computer and structures,
vol. 64, 145-156, 1997.
[HAL 75) HALPHEN B., NGUYEN Q.S., «Surles materiaux standards generalises », Journal de
Mecanique 14,39-63, 1975.
[LAD 86] LADEVEZE P., COFFIGNAL G., PELLE J.P., (( Accuracy of elastoplastic and dynamic
analysis », Chap. II, in Accuracy estimates and adaptive refinements in finite element
computation, 181 -203, Editors Babuska L, Zienkiewicz O.C., Gago J.P., Olivera A.E.,
J. Wiley, London, 1986.
(LAD 91] LADEVEZE P .. PELLE J.P., ROUGEOT P., (( Error estimation and mesh optimization
for classical finite elements », Engrg. Computation 8, 69-80, 1991 .
[LAD 96] LADEVEZE P., « Mecanique non lineaire des structures. Nouvelle approche et
methodes de calcul non incrementales », Hennes, 1996
[LES 89] LESNE P. M., SA VALLES., «An efficient cycles jump technique for viscoplastic
structure calculations involving large number of cycles», 2nd Int. Conf on
Computational Plasticity : Models Software and Applications, Owen - Onate - Hinton
Editors, CIMNE, Barcelona, 591-602, 1989.
[MOE 96] Mo£s N., Une methode de mesure d'erreur a posteriori pour les modeles de
materiaux deceits par variables internes, These de !'Ecole Normale Superieure de Cachan, ,
[PER 94] PERIC D., Yu J., OWEN D. R. J., «On error estimates and adaptivity in elasto-plaslic
solids : applications to the numerical simulation of strain localisation in classical and
Cosserat continua», Int. Jour. for Num. Meth. in Engrg, 37, 1351-1379, 1994.
[RYC 97] RYCKELYNCK D., Sur !'analyse des structures viscoplastiques : strategic adaptative
et contr61e de qualite, These de !'Ecole Normale Superieure de Cachan, 1997.
[TAL 9 8] TALBOT P., Une approche rt grand increment de temps des problemes
thermomecaniques, These de l'Ecole Normale Superieure de Cachan, h paraltre.