Shakedown theorems in poroplastic dynamics
Cocchetti, Giuseppe ; Maier, Giulio
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni, Tome 13 (2002), p. 43-53 / Harvested from Biblioteca Digitale Italiana di Matematica
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The constitutive model assumed in this Note is poroplastic two-phase (solid-fluid) with full saturation and stable in Drucker’s sense. A solid or structure of this material is considered, subjected to dynamic external actions, in particular periodic or intermittent, in a small deformation regime. A sufficient condition and a necessary one are established, by a «static» approach, for shakedown (or adaptation), namely for boundedness in time of the cumulative dissipated energy.

Il modello costitutivo assunto in questa Nota è poroplastico bifase (solido-fluido) a saturazione totale e stabile nel senso di Drucker. Un solido o struttura di questo materiale è considerato soggetto ad azioni esterne dinamiche, in particolare periodiche o intermittenti, in regime di piccole deformazioni. Si dimostrano, in base ad un approccio «statico», una condizione sufficiente e una necessaria per l’adattamento (o «shakedown»), inteso come caratterizzato da limitatezza nel tempo dell’energia dissipata cumulativa.

Publié le : 2002-03-01
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     author = {Giuseppe Cocchetti and Giulio Maier},
     title = {Shakedown theorems in poroplastic dynamics},
     journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni},
     volume = {13},
     year = {2002},
     pages = {43-53},
     zbl = {1221.74023},
     mrnumber = {1949147},
     language = {en},
     url = {http://dml.mathdoc.fr/item/RLIN_2002_9_13_1_43_0}
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Cocchetti, Giuseppe; Maier, Giulio. Shakedown theorems in poroplastic dynamics. Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni, Tome 13 (2002) pp. 43-53. http://gdmltest.u-ga.fr/item/RLIN_2002_9_13_1_43_0/

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