Bipotentials for Non-monotone Multivalued Operators: Fundamental Results and Applications

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 interesting applications related to non-associated constitutive laws in non-smooth mechanics, such as Coulomb frictional contact or non-associated Drücker-Prager model in plasticity.