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A symplectic Brezis–Ekeland–Nayroles principle

type de publication      article dans une revue internationale avec comité de lecture
date de publication 2017
auteur(s) Buliga Marius; De Saxce Géry
journal (abréviation) Mathematics and Mechanics of Solids (Math Mech Solid)
volume (numéro) 22 (6)
  
pages 1288 – 1302
résumé We propose a modification of the Hamiltonian formalism which can be used for dissipative systems. This work continues a previous work on Hamiltonian inclusions and advances by the introduction of a symplectic version of the Brezis–Ekeland–Nayroles principle. As an application we show how standard plasticity can be treated in our formalism.
mots clés Hamiltonian methods, Brezis–Ekeland–Nayroles principle, convex dissipation, standard plasticity.
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