The class of elastic-plastic material models considered allows for nonassociativity, nonlinear hardening and saturation in the sense that the static internal variables are constrained by a bounding surface described through convex bounding functions. With reference to finite element, generalized variables discretization in space, two dynamic shakedown criteria are established by a kinematic approach in Koiter's sense, based on weak constitutive restrictions and centered on two suitable definitions of admissible yield cycles.
La classe di materiali elastoplastici considerata tiene conto di nonassociatività, incrudimento nonlineare e saturazione (nel senso che le variabili interne statiche sono soggette a vincoli convessi che definiscono una superficie di delimitazione). Con riferimento ad una discretizzazione spaziale per elementi finiti in variabili generalizzate, si dimostrano due teoremi di adattamento («shakedown») dinamico in base ad un approccio cinematico nel senso di Koiter, fondato su ipotesi costitutive alquanto generali e su opportune definizioni di cicli plastici ammissibili.
@article{RLIN_1995_9_6_1_55_0,
author = {Alberto Corigliano and Giulio Maier and Slawomir Pycko},
title = {Kinematic criteria of dynamic shakedown extended to nonassociative constitutive laws with saturation nonlinear hardening},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni},
volume = {6},
year = {1995},
pages = {55-64},
zbl = {0833.73014},
mrnumber = {1340282},
language = {en},
url = {http://dml.mathdoc.fr/item/RLIN_1995_9_6_1_55_0}
}
Corigliano, Alberto; Maier, Giulio; Pycko, Slawomir. Kinematic criteria of dynamic shakedown extended to nonassociative constitutive laws with saturation nonlinear hardening. Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni, Tome 6 (1995) pp. 55-64. http://gdmltest.u-ga.fr/item/RLIN_1995_9_6_1_55_0/
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