In the nonconvex case, solutions of rate-independent systems may develop jumps as a
function of time. To model such jumps, we adopt the philosophy that rate-independence …

Rate-independent systems allow for solutions with jumps that need additional modeling.
Here we suggest a formulation that arises as limit of viscous regularization of the solutions in …

In this work, the energetic formulation for rate-independent dissipative materials is extended
to consider non-associative plasticity models. In associative models, the fulfilment of the …

For gradient systems depending on a microstructure, it is desirable to derive a macroscopic
gradient structure describing the effective behavior of the microscopic scale on the …

After Fitzpatrick's seminal work MR 1009594, it is known that in a real Banach space V any
maximal monotone operator α: V →\mathcal P (V^ ′) may be given a variational …

A nonlinear boundary value problem arising from continuum mechanics is considered. The
nonlinearity of the model arises from the constitutive law which is described by means of the …

In the present work, we address a nonlinear boundary value problem that models frictional
contact with prescribed normal stress between a deformable body and a foundation. The …

This is a survey of recent results about bipotentials representing multivalued operators. The
notion of bipotential is based on an extension of Fenchel's inequality, with several …

We show a surprising connexion between a property of the inf convolution of a family of
convex lower semicontinuous functions and the fact that the intersection of maximal …

In this work, we propose a tensorial description for a thermodynamics of dissipative continua
compatible with the Galilean physics. With this aim in view, we emphasize the role of …