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Intégral, uf- La combinaison des relations (C-2) et (C-5) permet de calculer le terme sous le signe intégrale (C-1): c,j"G jn, pp.5-6 ,
ordre 4 de R est donnée par: R,noo* --zk, p.7 ,
on écrit (C-8) sous la forme suivante: ol*(,)=# ?h{i t, p.10 ,
avoir écrit la dérivée seconde par rapport à xn et x-à I'extérieur de I'intégrale est licite puisque I'intégration s'effectue sur V' (sous entendu Ç1 ,
Calcul de l'Intésrale uh ,
C-1) s'écrit alors sous la forme suivante: rh ,-\- gl+vç, ôrrr,rXnX uil'"(r)=-;Ël(-Ë+2ff) 0(r'), p.16 ,
Ie (x) possède trois formes différentes: sur [0,1], x Ko (x) Io (x) = -x ln(x) sur [1,12], x Ko (x) Io (x) = -1, \2 sur [12,X], x Ko (x) Io (*) = l ,
Io (x) dx X+- P ,
la déformation thermique macroscopique est nulle El ,
Calcul des Déformations Inélastiques Macroscopiques On utilise I'une des propriétés de la fonction de Dirac qui permet de passer d'une intégrale de volume à une intégrale surfacique ,
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(,lnponements des matériaux, il est difficile d'ignorer les processus inévcrsibles. Ce sont des processus taisent intervenir des déformations inélastiques ou anélastiques s'accompagnant d'une dissipation intrinsèque pro ,
tout phénornène inélastique ou anélastique esr lié à la propagation de défauts ,