A maximum reduced dissipation principle for nonassociative plasticity

Castrenze Polizzotto

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni (1998)

  • Volume: 9, Issue: 2, page 115-129
  • ISSN: 1120-6330

Abstract

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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.

How to cite

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Polizzotto, Castrenze. "A maximum reduced dissipation principle for nonassociative plasticity." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni 9.2 (1998): 115-129. <http://eudml.org/doc/252445>.

@article{Polizzotto1998,
abstract = {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.},
author = {Polizzotto, Castrenze},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni},
keywords = {Plasticity; Nonassociative yielding laws; Variational principles; perfectly plastic rate-independent material; strictly convex plastic potential function; Kuhn-Tucker conditions; associative plasticity},
language = {eng},
month = {6},
number = {2},
pages = {115-129},
publisher = {Accademia Nazionale dei Lincei},
title = {A maximum reduced dissipation principle for nonassociative plasticity},
url = {http://eudml.org/doc/252445},
volume = {9},
year = {1998},
}

TY - JOUR
AU - Polizzotto, Castrenze
TI - A maximum reduced dissipation principle for nonassociative plasticity
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
DA - 1998/6//
PB - Accademia Nazionale dei Lincei
VL - 9
IS - 2
SP - 115
EP - 129
AB - 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.
LA - eng
KW - Plasticity; Nonassociative yielding laws; Variational principles; perfectly plastic rate-independent material; strictly convex plastic potential function; Kuhn-Tucker conditions; associative plasticity
UR - http://eudml.org/doc/252445
ER -

References

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