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<p><div class="nova-e-text nova-e-text--size-m nova-e-text--family-sans-serif nova-e-text--spacing-s nova-e-text--color-inherit redraft-text" style="margin-bottom:15px;color:rgb(17, 17, 17);font-family:Roboto, Arial, sans-serif;font-size:14px;">Hello Colleagues,</div><div class="nova-e-text nova-e-text--size-m nova-e-text--family-sans-serif nova-e-text--spacing-s nova-e-text--color-inherit redraft-text" style="margin-bottom:15px;color:rgb(17, 17, 17);font-family:Roboto, Arial, sans-serif;font-size:14px;"><span style="word-spacing:normal;">I am trying to implement a continuum damage mechanics based constitutive model in Abaqus using the user-defined subroutine UMAT. In that context, I am having hard time finding any available example UMAT subroutine which is modeling only damage elast
ic material (no plasticity).</span><br></div><div class="nova-e-text nova-e-text--size-m nova-e-text--family-sans-serif nova-e-text--spacing-s nova-e-text--color-inherit redraft-text" style="margin-bottom:15px;color:rgb(17, 17, 17);font-family:Roboto, Arial, sans-serif;font-size:14px;"></div><div class="nova-e-text nova-e-text--size-m nova-e-text--family-sans-serif nova-e-text--spacing-s nova-e-text--color-inherit redraft-text" style="margin-bottom:15px;color:rgb(17, 17, 17);font-family:Roboto, Arial, sans-serif;font-size:14px;">In my model I am assuming isotropic scalar damage and single scale modeling (no multiscaling feature) framework. Once I get the updated damage for an increment or iteration, I update DDSDDE. The code works fine until peak stress, i.e. until softening happens. I a
m using viscous stabilization to complete the simulation. However, the overall strain vs. stress plot shows brittle pattern of failure due to localization (for all simulation having more than one element).</div><div class="nova-e-text nova-e-text--size-m nova-e-text--family-sans-serif nova-e-text--spacing-s nova-e-text--color-inherit redraft-text" style="margin-bottom:15px;color:rgb(17, 17, 17);font-family:Roboto, Arial, sans-serif;font-size:14px;"></div><div class="nova-e-text nova-e-text--size-m nova-e-text--family-sans-serif nova-e-text--spacing-s nova-e-text--color-inherit redraft-text" style="margin-bottom:15px;color:rgb(17, 17, 17);font-family:Roboto, Arial, sans-serif;font-size:14px;">A snippet of my UMAT code is given below showing DDSDDE update.</div><div class="nova-e-text nova
-e-text--size-m nova-e-text--family-sans-serif nova-e-text--spacing-s nova-e-text--color-inherit redraft-text" style="margin-bottom:15px;color:rgb(17, 17, 17);font-family:Roboto, Arial, sans-serif;font-size:14px;"><br></div><div class="nova-e-text nova-e-text--size-m nova-e-text--family-sans-serif nova-e-text--spacing-s nova-e-text--color-inherit redraft-text" style="margin-bottom:15px;"><div class="nova-e-text nova-e-text--size-m nova-e-text--family-sans-serif nova-e-text--spacing-s nova-e-text--color-inherit redraft-text" style="margin-bottom:15px;"><span style="color:rgb(17, 17, 17);font-family:Roboto, Arial, sans-serif;font-size:14px;">! *************************************************************************</span></div><div class="nova-e-text nova-e-text--size-m nova-e-text--famil
y-sans-serif nova-e-text--spacing-s nova-e-text--color-inherit redraft-text" style="margin-bottom:15px;"><span style="color:rgb(17, 17, 17);font-family:Roboto, Arial, sans-serif;font-size:14px;">! Update stress and DDSDDE at the end after updating damage </span></div><div class="nova-e-text nova-e-text--size-m nova-e-text--family-sans-serif nova-e-text--spacing-s nova-e-text--color-inherit redraft-text" style="margin-bottom:15px;"><span style="color:rgb(17, 17, 17);font-family:Roboto, Arial, sans-serif;font-size:14px;word-spacing:normal;">! *************************************************************************</span><br></div><div class="nova-e-text nova-e-text--size-m nova-e-text--family-sans-serif nova-e-text--spacing-s nova-e-text--color-inherit redraft-text" style="margin-bot
tom:15px;"><span style="color:rgb(17, 17, 17);font-family:Roboto, Arial, sans-serif;font-size:14px;"> IF (TC_StrnState .GT. 0.d0) THEN </span></div><div class="nova-e-text nova-e-text--size-m nova-e-text--family-sans-serif nova-e-text--spacing-s nova-e-text--color-inherit redraft-text" style="margin-bottom:15px;"><span style="color:rgb(17, 17, 17);font-family:Roboto, Arial, sans-serif;font-size:14px;"> <span style="white-space:pre;"> </span><span style="white-space:pre;"> </span>CALL DDSDDE_Update(DDSDDE,MATPROP%L_T,Omega, NTENS) <span style="white-space:pre;"> </span></span></div><div class="nova-e-text nova-e-text--size-m nova-e-text--family-sans-serif nova-e-text--spacing-s nova-e-text--color-inherit redraft-text" style="margin-bottom:15px;"><span style="color:
rgb(17, 17, 17);font-family:Roboto, Arial, sans-serif;font-size:14px;"> ELSE IF (TC_StrnState .LT. 0.d0) THEN </span></div><div class="nova-e-text nova-e-text--size-m nova-e-text--family-sans-serif nova-e-text--spacing-s nova-e-text--color-inherit redraft-text" style="margin-bottom:15px;"><span style="color:rgb(17, 17, 17);font-family:Roboto, Arial, sans-serif;font-size:14px;"> <span style="white-space:pre;"> </span>CALL DDSDDE_Update(DDSDDE,MATPROP%L_C,Omega, NTENS) <span style="white-space:pre;"> </span></span></div><div class="nova-e-text nova-e-text--size-m nova-e-text--family-sans-serif nova-e-text--spacing-s nova-e-text--color-inherit redraft-text" style="margin-bottom:15px;"><span style="color:rgb(17, 17, 17);font-family:Roboto, Arial, sans-se
rif;font-size:14px;"> END IF</span></div><div class="nova-e-text nova-e-text--size-m nova-e-text--family-sans-serif nova-e-text--spacing-s nova-e-text--color-inherit redraft-text" style="margin-bottom:15px;"><span style="color:rgb(17, 17, 17);font-family:Roboto, Arial, sans-serif;font-size:14px;"> </span><span style="color:rgb(17, 17, 17);font-family:Roboto, Arial, sans-serif;font-size:14px;word-spacing:normal;"> Stress = MATMUL(DDSDDE,Stran)</span></div><div class="nova-e-text nova-e-text--size-m nova-e-text--family-sans-serif nova-e-text--spacing-s nova-e-text--color-inherit redraft-text" style="margin-bottom:15px;"><span style="color:rgb(17, 17, 17);font-family:Roboto, Arial, sans-serif;font-size:14px;"><br></span></div></div><div class="nova-e-tex
t nova-e-text--size-m nova-e-text--family-sans-serif nova-e-text--spacing-s nova-e-text--color-inherit redraft-text" style="margin-bottom:15px;"><div class="nova-e-text nova-e-text--size-m nova-e-text--family-sans-serif nova-e-text--spacing-s nova-e-text--color-inherit redraft-text" style="margin-bottom:15px;"><font color="#111111" face="Roboto, Arial, sans-serif"><span style="font-size:14px;">!***********************************************************************</span></font></div><div class="nova-e-text nova-e-text--size-m nova-e-text--family-sans-serif nova-e-text--spacing-s nova-e-text--color-inherit redraft-text" style="margin-bottom:15px;"><font color="#111111" face="Roboto, Arial, sans-serif"><span style="font-size:14px;">! DDSDDE update </span></font></div><di
v class="nova-e-text nova-e-text--size-m nova-e-text--family-sans-serif nova-e-text--spacing-s nova-e-text--color-inherit redraft-text" style="margin-bottom:15px;"><font color="#111111" face="Roboto, Arial, sans-serif"><span style="font-size:14px;">!*********************************************************************** </span></font></div><div class="nova-e-text nova-e-text--size-m nova-e-text--family-sans-serif nova-e-text--spacing-s nova-e-text--color-inherit redraft-text" style="margin-bottom:15px;"><font color="#111111" face="Roboto, Arial, sans-serif"><span style="font-size:14px;">SUBROUTINE DDSDDE_Update(DDSDDE, LMAT,Omega, NTENS)</span></font></div><div class="nova-e-text nova-e-text--size-m nova-e-text--family-sans-serif nova-e-text--spacing-s nova-e-text--color-inherit red
raft-text" style="margin-bottom:15px;"><font color="#111111" face="Roboto, Arial, sans-serif"><span style="font-size:14px;"> REAL(KIND=8), INTENT(IN) :: Omega, LMAT(6,6)</span></font></div><div class="nova-e-text nova-e-text--size-m nova-e-text--family-sans-serif nova-e-text--spacing-s nova-e-text--color-inherit redraft-text" style="margin-bottom:15px;"><font color="#111111" face="Roboto, Arial, sans-serif"><span style="font-size:14px;"> REAL(KIND=8):: Strss(6), Strn(6)</span></font></div><div class="nova-e-text nova-e-text--size-m nova-e-text--family-sans-serif nova-e-text--spacing-s nova-e-text--color-inherit redraft-text" style="margin-bottom:15px;"><font color="#111111" face="Roboto, Arial, sans-serif"><span style="font-size:14px;"> INTEGER :: I
, NTENS</span></font></div><div class="nova-e-text nova-e-text--size-m nova-e-text--family-sans-serif nova-e-text--spacing-s nova-e-text--color-inherit redraft-text" style="margin-bottom:15px;"><font color="#111111" face="Roboto, Arial, sans-serif"><span style="font-size:14px;"> REAL(KIND=8), INTENT(OUT) :: DDSDDE(6,6)</span></font></div><div class="nova-e-text nova-e-text--size-m nova-e-text--family-sans-serif nova-e-text--spacing-s nova-e-text--color-inherit redraft-text" style="margin-bottom:15px;"><font color="#111111" face="Roboto, Arial, sans-serif"><span style="font-size:14px;"> DO I = 1,NTENS</span></font></div><div class="nova-e-text nova-e-text--size-m nova-e-text--family-sans-serif nova-e-text--spacing-s nova-e-text--color-inherit redraft-text" style=
"margin-bottom:15px;"><font color="#111111" face="Roboto, Arial, sans-serif"><span style="font-size:14px;"> Strn = 0.d0</span></font></div><div class="nova-e-text nova-e-text--size-m nova-e-text--family-sans-serif nova-e-text--spacing-s nova-e-text--color-inherit redraft-text" style="margin-bottom:15px;"><font color="#111111" face="Roboto, Arial, sans-serif"><span style="font-size:14px;"> Strn(I) = .000001d0 </span></font></div><div class="nova-e-text nova-e-text--size-m nova-e-text--family-sans-serif nova-e-text--spacing-s nova-e-text--color-inherit redraft-text" style="margin-bottom:15px;"><font color="#111111" face="Roboto, Arial, sans-serif"><span style="font-size:14px;"> <span style="white-space:pre;"> </s
pan>Strss =0.d0</span></font></div><div class="nova-e-text nova-e-text--size-m nova-e-text--family-sans-serif nova-e-text--spacing-s nova-e-text--color-inherit redraft-text" style="margin-bottom:15px;"><font color="#111111" face="Roboto, Arial, sans-serif"><span style="font-size:14px;"><span style="white-space:pre;"> </span>Strss = Strss+ (1.d0-Omega)*MATMUL(LMAT,Strn)</span></font></div><div class="nova-e-text nova-e-text--size-m nova-e-text--family-sans-serif nova-e-text--spacing-s nova-e-text--color-inherit redraft-text" style="margin-bottom:15px;"><font color="#111111" face="Roboto, Arial, sans-serif"><span style="font-size:14px;"><span style="white-space:pre;"> </span>DDSDDE(:,I)= Strss(:)/.000001d0</span></font></div><div class="nova-e-text nova-e-text--size-m nova-e-text--family-s
ans-serif nova-e-text--spacing-s nova-e-text--color-inherit redraft-text" style="margin-bottom:15px;"><font color="#111111" face="Roboto, Arial, sans-serif"><span style="font-size:14px;"> END DO</span></font></div><div class="nova-e-text nova-e-text--size-m nova-e-text--family-sans-serif nova-e-text--spacing-s nova-e-text--color-inherit redraft-text" style="margin-bottom:15px;"><font color="#111111" face="Roboto, Arial, sans-serif"><span style="font-size:14px;"> RETURN</span></font></div><div class="nova-e-text nova-e-text--size-m nova-e-text--family-sans-serif nova-e-text--spacing-s nova-e-text--color-inherit redraft-text" style="margin-bottom:15px;"><font color="#111111" face="Roboto, Arial, sans-serif"><span style="font-size:14px;">END SUBROUTINE DDSDDE_Update
</span></font></div><div class="nova-e-text nova-e-text--size-m nova-e-text--family-sans-serif nova-e-text--spacing-s nova-e-text--color-inherit redraft-text" style="margin-bottom:15px;"><font color="#111111" face="Roboto, Arial, sans-serif"><span style="font-size:14px;">!***********************************************************************</span></font></div><div class="nova-e-text nova-e-text--size-m nova-e-text--family-sans-serif nova-e-text--spacing-s nova-e-text--color-inherit redraft-text" style="margin-bottom:15px;"><font color="#111111" face="Roboto, Arial, sans-serif"><span style="font-size:14px;">!*********************************************************************** </span></font></div></div><div class="nova-e-text nova-e-text--size-m nova-e-text--family-sa
ns-serif nova-e-text--spacing-s nova-e-text--color-inherit redraft-text" style="margin-bottom:15px;color:rgb(17, 17, 17);font-family:Roboto, Arial, sans-serif;font-size:14px;"></div><div class="nova-e-text nova-e-text--size-m nova-e-text--family-sans-serif nova-e-text--spacing-s nova-e-text--color-inherit redraft-text" style="margin-bottom:15px;color:rgb(17, 17, 17);font-family:Roboto, Arial, sans-serif;font-size:14px;">I have 2 thoughts on modeling damage elastic material in Abaqus using UMAT:</div><div class="nova-e-text nova-e-text--size-m nova-e-text--family-sans-serif nova-e-text--spacing-s nova-e-text--color-inherit redraft-text" style="margin-bottom:15px;color:rgb(17, 17, 17);font-family:Roboto, Arial, sans-serif;font-size:14px;"></div><p><span></span></p><ul class="nova-e-list no
va-e-list--size-m nova-e-list--type-unordered nova-e-list--spacing-auto" style="list-style-position:outside;margin-top:0px;margin-bottom:1.42857em;margin-left:1.2em;color:rgb(17, 17, 17);font-family:Roboto, Arial, sans-serif;font-size:14px;"><li class="nova-e-list__item" style="margin-bottom:0.5em;">From my experience I have seen Abaqus examples related to snapping for structural geometry, but not snapping in damage elastic material. On the other hand, when I am using Riks method or Arclength method in Abaqus no localization happens. All the elements in my geometrical model fails and the strain vs. stress behavior is no longer brittle. Here is the dilemma, we are losing the physical insight to get energy consistent result. Is there any available technique for the commercial software Abaq
us to handle material localization, especially when used with user subroutine UMAT ?</li><li class="nova-e-list__item">The second possibility is that I am doing something wrong in my code? Do I need to get some other expression for consistent tangent stiffness matrix or DDSDDE update after damage accumulation?</li></ul><div><span style="color:rgb(17, 17, 17);font-family:Roboto, Arial, sans-serif;font-size:14px;">Looking for your comments.<br><br>Thank you.</span></div></p>
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