A variational formulation for constitutive laws described by bipotentials
نویسندگان
چکیده
منابع مشابه
Existence and construction of bipotentials for multivalued constitutive laws
Bipotentials are non smooth mechanics tools, used to model various non associative multivalued constitutive laws of dissipative materials (friction contact, soils, cyclic plasticity of metals, damage). Given by a graph M representing a multivalued constitutive law, we state a simple necessary and sufficient condition for the existence of a bipotential b for which M is the set of (x, y) such tha...
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متن کاملExistence and construction of bipotentials for graphs of multivalued laws
Based on an extension of Fenchel inequality, bipotentials are non smooth mechanics tools, used to model various non associative multivalued constitutive laws of dissipative materials (friction contact, soils, cyclic plasticity of metals, damage). Let X , Y be dual locally convex spaces, with duality product 〈·, ·〉 : X×Y → R. Given the graph M ⊂ X × Y of a multivalued law T : X → 2 , we state a ...
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ژورنال
عنوان ژورنال: Mathematics and Mechanics of Solids
سال: 2012
ISSN: 1081-2865,1741-3028
DOI: 10.1177/1081286511436136