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P. Notons and . La-matrice-appelée-matrice-de-passage-de-b-À-b-',-c-', est-à-dire la matrice dont les colonnes sont formées par les composantes des vecteurs de la base B' dans la base B, soit : Notation : c = cos(?) et s = sin(?)

. Ce-qui-donne, Dans une réécriture vectorielle de la déformation, on identifie et on obtient

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. Le-chargement-hydrique-est and . Lui, même dépendant du temps, mais nous allons faire l'hypothèse que la réponse mécanique d'une plaque est moins dépendante au temps qu'elle ne l'est aux variations hydriques. Pour illustrer cette proposition nous avons simulé la réponse locale d'une poutre soumise à des gradients d'humidité variables en faisant