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, s'exprime uniquement en fonction des angles 0 et g en coordonnées sphériques

, Après utilisation de la transformée de Fourier du tenseur de Green, I'expression

O. Tïu-devient-;-voir and A. , A-4) Tf"," =+#itoioerinen(o,e)rirn(*'ô*) où (A-s) F(0, e) = (;À' T {.*,.01,n(} r,a,r).i"(* )c 2Â,k) sin(} r,o,n) avec: r=I.Ro,Êt Xt=sinOcose, Iz =sin0sinq, 1989.

, Si peut s'écrire sous la forme : (A-z) s, = j

:. Onnote, ri=j, issue.1

, Avec ces notations, on obtient : ,i'(| x,ain)'i"(i r,a;t)sr

, Annexes La figurc Bl, monte une distribution spatiale ffriodique des deux familles de sphères élastiques F1 et F2. Dans la méthode du cluster à I'ordre 0, chaque cluster contient une seule inclusion, donc on a : Cp = C2r =@ (Cr, = CrÀFz) ; |gs relations (tr-57) se éduisent à

, Dans le cas des inclusions sphériques, on a : ftr =-Eo (voir Annexe A)

. Le-modèle-de-mori-tanaka, . Dans-le-cas-d'un, and . Triphasé, B-2) lË'=?'_;"',;Ët;, Nous avons vu, dans le premier chapitre (I-5a), que la déformation moyenne dans la matrice eM est reliée à la déformaton macroscopique E par la relation suivante, nous fournit les deux relations suivantes : fol = gM _E":ôCl:el

, Apès quelques manipulations algébriques simples, on obtient un système d'équations identique à (B-1)