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Title of Journal: Acta Mech

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Abbravation: Acta Mechanica

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Springer Vienna

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DOI

10.1007/s00586-012-2378-9

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1619-6937

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A family of bipotentials describing the nonassoc

Authors: Mohammed Hjiaj DuyLam Dao Géry de Saxcé
Publish Date: 2011/04/01
Volume: 220, Issue: 1-4, Pages: 237-246
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Abstract

In this paper we discuss in detail the derivation of the bipotential function used to express the flow rule of pressuredependent nonassociated plastic models In particular we show that an infinity of equivalent expressions of the bipotential can be derived for pressuredependent models The method consists in applying a transformation to the plastic strain rate or the stress or both to recover the normality rule Then the Fenchel inequality is used to derive the bipotential function The construction method itself indicates clearly that a class with infinite equivalent expressions of the bipotential can be derived

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