MODELLING OF IMPLICIT STANDARD MATERIALS. APPLICATION TO LINEAR COAXIAL NON-ASSOCIATED CONSTITUTIVE LAWS

被引：1
|
作者：
Vallee, Claude [1 ]
Lerintiu, Camelia [1 ]
Fortune, Danielle
Atchonouglo, Kossi [2 ]
Chaoufi, Jamal [3 ]
机构：
[1] Univ Poitiers, Inst P, UPR 3346, CNRS, F-86962 Futuroscope, France
[2] Univ Lome, Dept Phys, Lab Energie Solaire, Lome, Togo
[3] Univ Ibn zohr, Fac Sci, Dept Phys, Lab Elect Traitement Signal & Modelisat Phys, Agadir 80000, Morocco
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S | 2013年 / 6卷 / 06期
关键词：
Maximal monotone operators; n-cyclically monotone operators; Fitzpatrick's sequences; implicit standard material; bipotentials;
D O I：
10.3934/dcdss.2013.6.1641
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We analyze the relation between Gery de Saxce's bipotentials representing non-associated constitutive laws and Fitzpatrick's functions representing maximal monotone multifunctions. Revisiting the model of elastic materials initiated by Robert Hooke, we illustrate that Fitzpatrick's representation of monotone operators coming from convex analysis provides a constructive method to discover the best bipotential for modelling an Implicit Standard Material.
引用
收藏
页码：1641 / 1649
页数：9
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