Sources Esope | Cast3M

b3_d66
C B3_D66    SOURCE    FD218221  24/02/07    21:15:03     11834          
      subroutine b3_d66(nu,sn3,d66,prog1,comp)
c     calcul de la matrice d'endommagement 6*6 en base principale des endommagements
c     hypothese du materiau orthotrope dans les directions principales de fissuration
c     sn=1/(1-d Normal)
c     sp=1/(1-d Poisson)
      implicit real*8 (a-h,o-z)
      implicit integer (i-n)
c     declaration externe
      real*8 d66(6,6),sn3(3)
      real*8 nu
      logical prog1,comp
c     declarations locales      
      integer i,j,k,l
      real*8 s33(3,3)
      real*8 d1,d2,d3,sdmax,smax,sdmin
c     limitation l'endo si prog1=.true. (pas le cas actuellement)
      if(prog1) then
       smax=1.0d5
       do i=1,3
         sn3(i)=min(sn3(i),smax)
       end do
      end if     
c     initialisation de la matrice d endommagement dt66
10    do i=1,6
       do j=1,6
         d66(i,j)=0.d0
       end do
      end do     
      if(comp) then
c      endommagement simplifie  (pas de couplage directionnel)
       do i=1,3
        do j=1,3
         if (i.eq.j)then
           s33(i,j)=1.d0/sn3(i)
         else
           s33(i,j)=0.d0
         end if
        end do
       end do 
      else      
c      endommagement complet (othotrope avec endo de E et Nu)
c      permet d attenuer l'effet de Poisson orthogonal a la direction d'endo
c      si comp est a .false. (cas actuel)
 
C      A. Sellier, G. Casaux-Ginestet, L. Buffo-Lacarrière, X. Bourbon,
C      Orthotropic damage coupled with localized crack reclosure processing. Part I: Constitutive laws,
C      Engineering Fracture Mechanics,
C      Volume 97,
C      2013,
C      Pages 148-167,
C      ISSN 0013-7944,
C      https://doi.org/10.1016/j.engfracmech.2012.10.012.
 
20     d1=1.d0-1.d0/sn3(1)
       d2=1.d0-1.d0/sn3(2)
       d3=1.d0-1.d0/sn3(3)
       t1 = nu ** 2
       t2 = 2.d0 * nu
       t4 = t1* d3* d2
       t6 = nu - 1.d0
       t8 = t1 * nu
       t13 = t8 * d1
       t15 = t1 * d1
       t16 = t15 * d2
       t21 = t15 * d3
       t22 = -t8 +3.d0 * t1 -3.d0 * nu + 1.d0 + t8 * d3 * d2 - t4 + t13
     # * d2 - t16 + 2.d0 * t13 * d2 * d3 + t13 * d3 - t21
       t23 = 1.d0 / t22
       t24 = -1.d0 + d1
       t27 = nu * d2
       t28 = nu * d3
       t29 = nu - 1.d0 + t28
       t31 = t6 * t23
       t32 = t31 * t24
       t34 = t27 + nu - 1.d0
       t37 = nu * d1
       t39 = -1.d0 + d2
       t40 = t31 * t39
       t46 = nu - 1.d0 + t37
       t50 = -1.d0 + d3
       t51 = t31 * t50
       s33(1,1) = -(-t1 + t2 - 1.d0 + t4) * t6 * t23 * t24
       s33(1,2) = t27 * t29 * t32
       s33(1,3) = t28 * t34 * t32
       s33(2,1) = t37 * t29 * t40
       s33(2,2) = -(-t1 + t2 - 1.d0 + t21) * t6 * t23 * t39
       s33(2,3) = t28 * t46 * t40
       s33(3,1) = t37 * t34 * t51
       s33(3,2) = t27 * t46 * t51
       s33(3,3) = -(-t1 + t2 - 1.d0 + t16) * t6 * t23 * t50
      end if
c      print*,'1-dt33 ds b3_d66'
c      call afic33(s33)
c     read*
      do i=1,3
       do j=1,3
        if(i.eq.j) then
         d66(i,j)=1.d0-s33(i,j)
        else
         d66(i,j)=-s33(i,j)
        end if
       end do
      end do
c     calcul des termes de cisaillement 
      do i=4,6
       call indce0(i,k,l)
c      endommagement effectif = max des deux facettes fissuree      
c      sdmax=max(sn3(k),sn3(l)) 
c      d66(i,i)=1.d0-1.d0/sdmax       
c      endommagement effectif = min des deux facettes fissuree
c      endommagement effectif de cisaillement (theorie du maillon faible)
c      modif dec2022    
c       sdmin=min(sn3(k),sn3(l)) 
       sdmin=sn3(k)*sn3(l)     
       d66(i,i)=1.d0-1.d0/sdmin  
      end do
c     affichage de la matrice d'endommagement en base principale de fissuration
c      print*,'endo dt66 en base principale de fissuration ds b3_d66'
c      call afic66(d66)
c     read*      
      return
      end
 
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