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Vitesses de déformation - mms2

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Le tenseur <strong>de</strong>s contraintes <strong>de</strong> Piola–Kirchhoff• puissance <strong>de</strong>s efforts intérieurs∫∫σ ∼: D ∼dv =DD 0Π ∼: Ė ∼dVΠ ∼= J F −1 ∼.σ ∼.F −T ∼= F −1 ∼.S ∼tenseur <strong>de</strong>s contraintes <strong>de</strong> Piola–Kirchhoff• <strong>de</strong>nsité massique <strong>de</strong> puissance <strong>de</strong>s efforts intérieursσ ∼: D ∼ρ= Π ∼ : Ė ∼ρ 0couples <strong>de</strong> contraintes et déformations conjuguées• transport convectif du vecteur tractionT dS := F ∼ −1 .t ds = F ∼ −1 .T S dS = Π ∼.N dSPuissance <strong>de</strong> déformation 67/84

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