12.07.2015 Views

Vitesses de déformation - mms2

Vitesses de déformation - mms2

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Le champ <strong>de</strong> gradient <strong>de</strong>s vitesses• évolution instantanée d’un vecteur matériel transporté par lemouvementdx = F ∼.dX•{}}{dx = L ∼.dx , avec L ∼= Ḟ ∼.F ∼−1• le tenseur gradient <strong>de</strong>s vitessesḞ ∼= ∂2 Φ(X , t) =∂2 Φ(X , t)∂t∂X ∂X ∂t= Grad V (X , t) = (grad v (x , t)).F ∼L ∼(x , t) = grad v (x , t) = Ḟ ∼.F ∼−1Le champ <strong>de</strong> gradient <strong>de</strong>s vitesses 7/84

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