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math.AP2024
Quasistatic nonassociative plasticity at finite strains
Ulisse Stefanelli, Andreas Vikelis
We investigate finite-strain elastoplastic evolution in the nonassociative setting. The constitutive material model is formulated in variational terms and coupled with the quasista…
math.AP2021
Weak-strong uniqueness for measure-valued solutions to the equations of quasiconvex adiabatic thermoelasticity
Myrto Galanopoulou, Konstantinos Koumatos, Andreas Vikelis
This article studies the equations of adiabatic thermoelasticity endowed with an internal energy satisfying an appropriate quasiconvexity assumption which is associated to the symm…
math.AP2020
-quasiconvexity, Gårding inequalities and applications in PDE constrained problems in dynamics and statics
Konstantinos Koumatos, Andreas Vikelis
A Gårding-type inequality is proved for a quadratic form associated to -quasiconvex functions. This quadratic form appears as the relative entropy in the theory of con…