Representing a non-associated constitutive law by a bipotential issued from a Fitzpatrick sequence

• Autorzy: Vallée C. , Lerintiu C. , Fortuné D. , Atchonouglo K. , Ban M.
• Konferencja: Solid Mechanics Conference (36 ; 9-12.09.2008 ; Gdańsk, Poland)
• Języki publikacji: EN

Abstrakty

EN

We analyze the relation between Géry de Saxcé's bipotentials representing non-associated constitutive laws and Fitzpatrick's functions representing maximal monotone multifunctions. We illustrate by two examples (one linear and monotone, the other non-linear and non-monotone) the fact that Fitzpatrick's representation coming from convex analysis provides a constructive method to discover the "best" bipotential modelling of a given Implicit Standard Material.

Słowa kluczowe

EN

Generalized Standard Materials; non-associated material laws; Implicit Standard Materials; constitutive laws; point-to-set functions; multifunctions; maximal monotone operators; Fitzpatrick functions; Fitzpatrick sequences; bipotentials

• Wydawca: Instytut Podstawowych Problemów Techniki PAN
• Czasopismo: Archives of Mechanics
• Rocznik: 2009
• Tom: Vol. 61, nr 3-4
• Strony: 325--340
• Opis fizyczny: Bibliogr. 33 poz.

Twórcy

autor

Vallée C.

autor

Lerintiu C.

autor

Fortuné D.

autor

Atchonouglo K.

autor

Ban M.

• Solid Mechanics Laboratory, UMR CNRS 6610 Poitiers University, France

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