Standard dissipative systems and stability analysis

Quoc Son Nguyen (1)

1 LMS - Laboratoire de mécanique des solides

Stability and bifurcation analyses are discussed here for time-independent standard dissipative systems of materials and structures. This discussion is illustrated by some simple applications in plasticity and fracture mechanics.

Mots clés: generalized standard model; standard dissipative system; static or dynamic stability; bifurcation; stability criterion

Domaines: Mécanique [physics.med-ph]

Quoc Son Nguyen. Standard dissipative systems and stability analysis. Gérard Maugin; Raymonde Drouot; François Sidoroff. Continuum thermodynamics: the art and science of modeling matter's behavior, Springer, pp.343-354, 2000, 9789048155019. ⟨10.1007/0-306-46946-4_26⟩. ⟨hal-00112276⟩