Geodesic
A maximum reduced dissipation principle for nonassociative plasticity
Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni, Série 9, Tome 9 (1998) no. 2, pp. 115-129 Cet article a éte moissonné depuis la source Biblioteca Digitale Italiana di Matematica

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The concept of reduced plastic dissipation is introduced for a perfectly plastic rate-independent material not obeyng the associated normality rule and characterized by a strictly convex plastic potential function. A maximum principle is provided and shown to play the role of variational statement for the nonassociative constitutive equations. The Kuhn-Tucker conditions of this principle describe the actual material behaviour as that of a (fictitious) composite material with two plastic constituents, each of which is associative in some suitably enlarged stress and strain spaces. The proposed principle is shown to identify with the classical one in case of associative plasticity. A simple illustrative example is reported. 
@article{RLIN_1998_9_9_2_a6,
     author = {Polizzotto, Castrenze},
     title = {A maximum reduced dissipation principle for nonassociative plasticity},
     journal = {Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni},
     pages = {115--129},
     year = {1998},
     volume = {Ser. 9, 9},
     number = {2},
     zbl = {0922.73015},
     mrnumber = {MR1677266},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/RLIN_1998_9_9_2_a6/}
}
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Polizzotto, Castrenze. A maximum reduced dissipation principle for nonassociative plasticity. Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni, Série 9, Tome 9 (1998) no. 2, pp. 115-129. http://geodesic.mathdoc.fr/item/RLIN_1998_9_9_2_a6/