Thermodynamique des surfaces, travail de déformation, contraintes

Thermodynamique des surfaces, travail de
déformation, contraintes de surface
Equations aux surfaces et lignes triples
Juan OLIVES
CINaM-CNRS, Marseille
Thermodynamic equilibrium
Fluid f’’
Fluid f
Fluid f’
Solid s
δ(U + V ) = 0
S = const.
mi = const. (i = 1,…, n)
(Gibbs, 1876)
Thermal equilibrium
Material points fixed in space
Masses dm i fixed
Thermodynamic state of sf fixed
Chemical equilibrium
Material points fixed in space
Entropies dS fixed
Thermodynamic state of sf fixed
Mechanical equilibrium
Solid s
or fluid f’
Fluid f
δN
δxt
δx
z
Fluid f’
δN
θ
Fluid f
δxt
Fluid f’
ν
δx
δX
Fluid f
Solid s
or fluid f’’
Mechanical equilibrium of the fluids
Points of the solid fixed
Thermodynamic state of sf fixed
sff’ lines fixed
γff’
Fluid f
sff’ δX
0
δX
sf’
sf
Solid s
Undeformed initial state
n
Solid s
Deformed present state
Fluid f’
Mechanical equilibrium of the solid, the solid-fluid surfaces
and the solid-fluid-fluid lines
Surface solide-fluide
Fluide f
Surface sf
Γ fixée
Solide s
Thermodynamique des surfaces
Contraintes de surface
Déformation
de la surface
Création
de surface