9 research outputs found
Blurred maximal cyclically monotone sets and bipotentials
Let X be a reflexive Banach space and Y its dual. In this paper we find
necessary and sufficient conditions for the existence of a bipotential for a
blurred maximal cyclically monotone graph. Equivalently, we find a necessary
and sufficient condition on for that the differential
inclusion can be put in the form
, with a bipotential.Comment: Revised version, corrections in theorem 6.
A variational formulation for constitutive laws described by bipotentials
Inspired by the algorithm of Berga and de Saxce for solving the
discretisation in time of the evolution problem for an implicit standard
material, we propose a general variational formulation in terms of
bipotentials
Blurred constitutive laws and bipotential convex covers
In many practical situations, incertitudes affect the mechanical behaviour
that is given by a family of graphs instead of a single one. In this paper, we
show how the bipotential method is able to capture such blurred constitutive
laws, using bipotential convex covers