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Hypo.f
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Hypo.f
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!-----------------------------------------------------------------------
!-----------------------------------------------------------------------
!
! Subroutine Hypo
!
!-----------------------------------------------------------------------
!-----------------------------------------------------------------------
! Subroutines should be inlined by the compiler
!-----------------------------------------------------------------------
!DIR$ ATTRIBUTES FORCEINLINE :: Hypo
!-----------------------------------------------------------------------
! Preprocessor definitions
!-----------------------------------------------------------------------
#ifndef SCMM_HYPO_HYPO
#define SCMM_HYPO_HYPO
!-----------------------------------------------------------------------
! Subroutine Hypo
!-----------------------------------------------------------------------
subroutine Hypo(stressNew,stateNew,defgradNew,
+ stressOld,stateOld,defgradOld,dt,props,
+ nblock,nstatev,nprops,Dissipation)
!-----------------------------------------------------------------------
implicit none
!-----------------------------------------------------------------------
integer nblock, nstatev, nprops
real*8 dt
real*8 props(nprops),defgradOld(nblock,9),
+ stressOld(nblock,6),
+ stateOld(nblock,nstatev),
+ defgradNew(nblock,9),
+ stressNew(nblock,6), stateNew(nblock,nstatev)
!-----------------------------------------------------------------------
! Internal vumat variables
!-----------------------------------------------------------------------
integer alpha,hflag,km,Txflag
parameter(alpha=12)! Number of slip systems (12 for FCC materials)
real*8 C11! Elastic coefficient
real*8 C12! Elastic coefficient
real*8 C44! Elastic coefficient
real*8 gamma! Accumulated plastic shear strain
real*8 PEQ! Equivalent von Mises plastic strain
real*8 dgamma(alpha)! Shear strain increment for slip system alpha
real*8 gamma0_dot! Referance slip rate
real*8 bm! Instantaneous strain rate sensitivity
real*8 tau0_c! Initial critical resolved shear stress
real*8 theta1! Hardening parameter (Voce)
real*8 tau1! Hardening parameter (Voce)
real*8 theta2! Hardening parameter (Voce)
real*8 tau2! Hardening parameter (Voce)
real*8 h0! Hardening parameter
real*8 tau_s! Hardening parameter
real*8 am! Hardening parameter
real*8 dtau_c(alpha)! Critical resolved shear stress increment
! for slip system alpha
real*8 q(12,12)! Latent hardening matrix
real*8 tau(alpha)! Resolved shear stress for slip system alpha
real*8 tau_c(alpha)! Critical resolved shear stress
! for slip system alpha
real*8 n(alpha,3)! Slip plane normal for slip system alpha
real*8 m(alpha,3)! Slip direction for slip system alpha
real*8 Fold(3,3)! Old Deformation gradient F=RU
real*8 Fnew(3,3)! New Deformation gradient F=RU
real*8 R(3,3),RT(3,3)! Rotation tensor w.r.t. W and its transpose
real*8 phi1, PHI, phi2! Euler angles (phi1, PHI, phi2)
real*8 S(alpha,3,3)! Schmid tensor for slip system alpha
integer a,i,j! Loop variables
real*8 sigs(6)! Stress tensor components,
! S11, S22, S33, S12, S23, S31 in global coordinate system
real*8 sigma(6)! Corotaional stress tensor components,
! S11, S22, S33, S12, S23, S31 w.r.t. W
real*8 depsilon(6)! Corotaional incremental strain tensor
! components, dE11, dE22, dE33, dE12, dE23, dE31 w.r.t. W
real*8 depsilon_p(6)! Corotaional incremental plastic strain
! tensor components, dE11, dE22, dE33, dE12, dE23, dE31 w.r.t. W
real*8 domega_p(3)! Corotaional incremental plastic spin tensor
! components, dW32, dW13, dW21 w.r.t. W
real*8 domega_e(3)! Incremental elastic spin tensor components,
! dW32, dW13, dW21 in global coordinate system
real*8 spininc(3)! Incremental spin tensor components,
! dW32, dW13, dW21 in global coordinate system
real*8 epsinc(6)! Incremental incremental strain tensor
! components, dE11, dE22, dE33, dE12, dE23, dE31 in the
! global coordinate system
real*8 xmat1(3,3), xmat2(3,3)! Tensors used for transformations
real*8 Dissipation(nblock)! The change in dissipated inelastic
! specific energy (sigma_ij*D^p_ij*dt=sum(tau(alpha)*dgamma(alpha)))
real*8 ang(3)! Euler angles phi1, PHI, phi2
real*8 four, three, two, one, half, zero, deg2rad
real*8 oSqrtThree, oSqrtTwo, small, critEps
parameter(four=4.d0, three=3.d0, two=2.d0, one=1.d0,
+ half=5d-1, zero=0.d0, oSqrtThree=1.d0/sqrt(3.d0),
+ oSqrtTwo=1.d0/sqrt(2.d0), small=1.d-6, critEps=1.d-6,
+ deg2rad=4.d0*atan(1.d0)/180.d0)! Constants
integer nsub,k! Nuber of sub-steps and sub-step loop variable
real*8 dti! Sub-stepping time step
#if SCMM_HYPO_DFLAG != 0
real*8 VVF0, VVFC, VVF, q1, q2 ! Damage variables
integer isActive ! Is the integration point active (0=deleted,
! 1=active)
#endif
!-----------------------------------------------------------------------
! Read parameters from ABAQUS material card
!-----------------------------------------------------------------------
C11 = props(1)! Elastic coefficient
C12 = props(2)! Elastic coefficient
C44 = props(3)! Elastic coefficient
gamma0_dot = props(4)! Referance slip rate
bm = props(5)! Instantaneous strain rate sensitivity
tau0_c = props(6)! Initial critical resolved shear stress
! Texture flag (1=Euler angle from material card,
! 2=Euler angle from history card)
Txflag = nint(props(8))
phi1 = props(9)*deg2rad! Euler angle phi1 in radians
PHI = props(10)*deg2rad! Euler angle PHI in radians
phi2 = props(11)*deg2rad! Euler angle phi2 in radians
hflag = nint(props(12))! Hardening type (1=Voce,2=Kalidindi)
#if SCMM_HYPO_DFLAG != 0
VVF0 = props(18) ! Initial damage / void volume fraction
VVFC = props(19) ! Critical damage / void volume fraction
q1 = props(20) ! Damage evolution parameter
q2 = props(21) ! Damage evolution parameter
#endif
!-----------------------------------------------------------------------
! Determine the hardening law parameters
!-----------------------------------------------------------------------
#ifdef SCMM_HYPO_VOCE_ONLY
!-----------------------------------------------------------------------
! Voce
!-----------------------------------------------------------------------
call unpackVoce(nprops,props,theta1,tau1,theta2,tau2,q)
#elif defined SCMM_HYPO_KALIDINDI_ONLY
!-----------------------------------------------------------------------
! Kalidindi et al.
!-----------------------------------------------------------------------
call unpackKalidindi(nprops,props,h0,tau_s,am,q)
#else
if(hflag.eq.1)then
!-----------------------------------------------------------------------
! Voce
!-----------------------------------------------------------------------
call unpackVoce(nprops,props,theta1,tau1,theta2,tau2,q)
elseif(hflag.eq.2)then
!-----------------------------------------------------------------------
! Kalidindi et al.
!-----------------------------------------------------------------------
call unpackKalidindi(nprops,props,h0,tau_s,am,q)
else
!-----------------------------------------------------------------------
! Error on wrong hflag
!-----------------------------------------------------------------------
#if defined SCMM_HYPO_STANDARD
call STDB_ABQERR(-3,'Wrong Hardening model, hflag = %I',
. hflag,,)
#elif defined SCMM_HYPO_EXPLICIT
call XPLB_ABQERR(-3,'Wrong Hardening model, hflag = %I',
. hflag,,)
#else
write(*,*) 'hflag = ',hflag
error stop 'ERROR: Wrong Hardening model'
#endif
endif
#endif
!-----------------------------------------------------------------------
! Slip normals and directions in local coordinate system for FCC
!-----------------------------------------------------------------------
n(1,1:3) = (/ oSqrtThree, oSqrtThree, oSqrtThree/)
n(2,1:3) = (/ oSqrtThree, oSqrtThree, oSqrtThree/)
n(3,1:3) = (/ oSqrtThree, oSqrtThree, oSqrtThree/)
n(4,1:3) = (/-oSqrtThree,-oSqrtThree, oSqrtThree/)
n(5,1:3) = (/-oSqrtThree,-oSqrtThree, oSqrtThree/)
n(6,1:3) = (/-oSqrtThree,-oSqrtThree, oSqrtThree/)
n(7,1:3) = (/-oSqrtThree, oSqrtThree, oSqrtThree/)
n(8,1:3) = (/-oSqrtThree, oSqrtThree, oSqrtThree/)
n(9,1:3) = (/-oSqrtThree, oSqrtThree, oSqrtThree/)
n(10,1:3)= (/ oSqrtThree,-oSqrtThree, oSqrtThree/)
n(11,1:3)= (/ oSqrtThree,-oSqrtThree, oSqrtThree/)
n(12,1:3)= (/ oSqrtThree,-oSqrtThree, oSqrtThree/)
!-----------------------------------------------------------------------
m(1,1:3) = (/-oSqrtTwo, zero , oSqrtTwo/)
m(2,1:3) = (/-oSqrtTwo, oSqrtTwo, zero /)
m(3,1:3) = (/ zero ,-oSqrtTwo, oSqrtTwo/)
m(4,1:3) = (/ zero , oSqrtTwo, oSqrtTwo/)
m(5,1:3) = (/-oSqrtTwo, oSqrtTwo, zero /)
m(6,1:3) = (/ oSqrtTwo, zero , oSqrtTwo/)
m(7,1:3) = (/ oSqrtTwo, zero , oSqrtTwo/)
m(8,1:3) = (/ oSqrtTwo, oSqrtTwo, zero /)
m(9,1:3) = (/ zero ,-oSqrtTwo, oSqrtTwo/)
m(10,1:3)= (/ zero , oSqrtTwo, oSqrtTwo/)
m(11,1:3)= (/ oSqrtTwo, oSqrtTwo, zero /)
m(12,1:3)= (/-oSqrtTwo, zero , oSqrtTwo/)
!-----------------------------------------------------------------------
do j=1,3
do i=1,3
do a=1,alpha
S(a,i,j)=m(a,i)*n(a,j)
enddo
enddo
enddo
!-----------------------------------------------------------------------
! Time greater than zero
!-----------------------------------------------------------------------
if(stateold(1,13).lt.small)then ! First step
!-----------------------------------------------------------------------
! Initializing the rotation tensor
!-----------------------------------------------------------------------
if (Txflag.eq.3)then
call RandomTexture(stateOld,nblock,nstatev)
elseif (Txflag.eq.2)then
!-----------------------------------------------------------------------
! Load orientations from initial conditions
!-----------------------------------------------------------------------
do km=1,nblock
phi1 = STATEOLD(km,1)*deg2rad
PHI = STATEOLD(km,2)*deg2rad
phi2 = STATEOLD(km,3)*deg2rad
!-----------------------------------------------------------------------
R(1,1) = cos(phi1)*cos(phi2)-sin(phi1)*sin(phi2)*cos(PHI)
R(1,2) = -cos(phi1)*sin(phi2)-sin(phi1)*cos(phi2)*cos(PHI)
R(1,3) = sin(phi1)*sin(PHI)
R(2,1) = sin(phi1)*cos(phi2)+cos(phi1)*sin(phi2)*cos(PHI)
R(2,2) = -sin(phi1)*sin(phi2)+cos(phi1)*cos(phi2)*cos(PHI)
R(2,3) = -cos(phi1)*sin(PHI)
R(3,1) = sin(phi2)*sin(PHI)
R(3,2) = cos(phi2)*sin(PHI)
R(3,3) = cos(PHI)
!-----------------------------------------------------------------------
a = 4
do j=1,3
do i=1,3
STATEOLD(km,a) = R(i,j)
a = a+1
enddo
enddo
enddo
else
!-----------------------------------------------------------------------
! Load orientation from material properties
!-----------------------------------------------------------------------
R(1,1) = cos(phi1)*cos(phi2)-sin(phi1)*sin(phi2)*cos(PHI)
R(1,2) = -cos(phi1)*sin(phi2)-sin(phi1)*cos(phi2)*cos(PHI)
R(1,3) = sin(phi1)*sin(PHI)
R(2,1) = sin(phi1)*cos(phi2)+cos(phi1)*sin(phi2)*cos(PHI)
R(2,2) = -sin(phi1)*sin(phi2)+cos(phi1)*cos(phi2)*cos(PHI)
R(2,3) = -cos(phi1)*sin(PHI)
R(3,1) = sin(phi2)*sin(PHI)
R(3,2) = cos(phi2)*sin(PHI)
R(3,3) = cos(PHI)
!-----------------------------------------------------------------------
a = 4
do j=1,3
do i=1,3
do km=1,nblock
STATEOLD(km,a) = R(i,j)
enddo
a = a+1
enddo
enddo
endif
!-----------------------------------------------------------------------
! Initializing the other state variables
!-----------------------------------------------------------------------
do km=1,nblock
STATEOLD(km,13:24) = tau0_c
STATEOLD(km,25) = zero
STATEOLD(km,27) = zero
#if SCMM_HYPO_DFLAG != 0
STATEOLD(km,29) = VVF0
STATEOLD(km,30) = one
#endif
enddo
endif
!-----------------------------------------------------------------------
! Loop over nblock integration points
!-----------------------------------------------------------------------
do km = 1, nblock
!-----------------------------------------------------------------------
! Defining state variables from last increment
!-----------------------------------------------------------------------
a = 4
do j=1,3
do i=1,3
R(i,j) = STATEOLD(km,a)
a = a+1
enddo
enddo
tau_c = STATEOLD(km,13:24)
gamma = STATEOLD(km,25)
PEQ = STATEOLD(km,27)
#if SCMM_HYPO_DFLAG != 0
VVF = STATEOLD(km,29)
isActive = nint(STATEOLD(km,30))
!-----------------------------------------------------------------------
! Check if integration point is active
!-----------------------------------------------------------------------
#ifdef SCMM_HYPO_EXPLICIT
if(isActive.eq.0)then
stressNew(km,1:6) = zero
STATENEW(km,1:nstatev) = STATEOLD(km,1:nstatev)
Dissipation(km) = zero
cycle ! Continue to next loop cycle
endif
#endif
#endif
!-----------------------------------------------------------------------
! Co-rotating the stress tensor
!-----------------------------------------------------------------------
sigs(1) = stressOld(km,1)
sigs(2) = stressOld(km,2)
sigs(3) = stressOld(km,3)
sigs(4) = stressOld(km,4)
sigs(5) = stressOld(km,5)
sigs(6) = stressOld(km,6)
!-----------------------------------------------------------------------
! Calculating the transpose of the rotation tensor
!-----------------------------------------------------------------------
call mtransp(R,RT)
!-----------------------------------------------------------------------
! Stress components, sigma_hat=R**T sigma R
!-----------------------------------------------------------------------
call vec2mat(sigs,xmat1)
call transform(xmat1,RT,R,xmat2)
call mat2vec(xmat2,sigma)
!-----------------------------------------------------------------------
! Calculating the effective stress sigma_eff=sigma/(1-VVF)
!-----------------------------------------------------------------------
#if SCMM_HYPO_DFLAG != 0
sigma = sigma/(one-VVF)
#endif
!-----------------------------------------------------------------------
! Calculating the strain and spin increments from
! the deformation gradient in the global coordinate system
!-----------------------------------------------------------------------
! Old deformation gradient, F
!-----------------------------------------------------------------------
Fold(1,1) = defgradOld(km,1)
Fold(2,2) = defgradOld(km,2)
Fold(3,3) = defgradOld(km,3)
Fold(1,2) = defgradOld(km,4)
Fold(2,3) = defgradOld(km,5)
Fold(3,1) = defgradOld(km,6)
Fold(2,1) = defgradOld(km,7)
Fold(3,2) = defgradOld(km,8)
Fold(1,3) = defgradOld(km,9)
!-----------------------------------------------------------------------
! New deformation gradient, F
!-----------------------------------------------------------------------
Fnew(1,1) = defgradNew(km,1)
Fnew(2,2) = defgradNew(km,2)
Fnew(3,3) = defgradNew(km,3)
Fnew(1,2) = defgradNew(km,4)
Fnew(2,3) = defgradNew(km,5)
Fnew(3,1) = defgradNew(km,6)
Fnew(2,1) = defgradNew(km,7)
Fnew(3,2) = defgradNew(km,8)
Fnew(1,3) = defgradNew(km,9)
call sinc(Fold,Fnew,dt,epsinc,spininc)
!-----------------------------------------------------------------------
! Begin the sub-stepping
!-----------------------------------------------------------------------
nsub = ceiling(sqrt(epsinc(1)**2+epsinc(2)**2+
+ epsinc(3)**2+two*epsinc(4)**2+
+ two*epsinc(5)**2+
+ two*epsinc(6)**2)/(critEps))
!-----------------------------------------------------------------------
epsinc = epsinc/nsub
spininc = spininc/nsub
dti = dt/nsub
Dissipation(km) = zero
!-----------------------------------------------------------------------
do k=1,nsub
!-----------------------------------------------------------------------
! Strain increments, depsilon_hat=R**T depsilon R
!-----------------------------------------------------------------------
call vec2mat(epsinc,xmat1)
call transform(xmat1,RT,R,xmat2)
call mat2vec(xmat2,depsilon)
!-----------------------------------------------------------------------
! Calculating resolved shear stresses at n and estimate the
! shear strain increments at n+1
!-----------------------------------------------------------------------
depsilon_p = zero
domega_p = zero
dgamma = zero
dtau_c = zero
!-----------------------------------------------------------------------
do a=1,alpha
tau(a) = sigma(1)*S(a,1,1)+sigma(2)*S(a,2,2)+
+ sigma(3)*S(a,3,3)+sigma(4)*(S(a,1,2)+S(a,2,1))+
+ sigma(5)*(S(a,2,3)+S(a,3,2))+
+ sigma(6)*(S(a,3,1)+S(a,1,3))
dgamma(a) = dti*gamma0_dot*
+ (abs(tau(a)/tau_c(a)))**(one/bm)*sign(one,tau(a))
!-----------------------------------------------------------------------
! Calculating corotated incremental plastic strain and spin
!-----------------------------------------------------------------------
depsilon_p(1) = depsilon_p(1)+dgamma(a)*S(a,1,1)
depsilon_p(2) = depsilon_p(2)+dgamma(a)*S(a,2,2)
depsilon_p(3) = depsilon_p(3)+dgamma(a)*S(a,3,3)
depsilon_p(4) = depsilon_p(4)+
+ half*dgamma(a)*(S(a,1,2)+S(a,2,1))
depsilon_p(5) = depsilon_p(5)+
+ half*dgamma(a)*(S(a,2,3)+S(a,3,2))
depsilon_p(6) = depsilon_p(6)+
+ half*dgamma(a)*(S(a,3,1)+S(a,1,3))
!-----------------------------------------------------------------------
domega_p(1) = domega_p(1)+
+ half*dgamma(a)*(S(a,3,2)-S(a,2,3))
domega_p(2) = domega_p(2)+
+ half*dgamma(a)*(S(a,1,3)-S(a,3,1))
domega_p(3) = domega_p(3)+
+ half*dgamma(a)*(S(a,2,1)-S(a,1,2))
!-----------------------------------------------------------------------
! Approximating the dissipated energy by using tau at n
!-----------------------------------------------------------------------
#if SCMM_HYPO_DFLAG != 0
Dissipation(km) = Dissipation(km)+(one-VVF)*tau(a)*dgamma(a)
#else
Dissipation(km) = Dissipation(km)+tau(a)*dgamma(a)
#endif
enddo
!-----------------------------------------------------------------------
! Updating corotated stress tensor
!-----------------------------------------------------------------------
sigma(1) = sigma(1)+C11*(depsilon(1)-depsilon_p(1))
+ +C12*(depsilon(2)-depsilon_p(2))
+ +C12*(depsilon(3)-depsilon_p(3))
sigma(2) = sigma(2)+C12*(depsilon(1)-depsilon_p(1))
+ +C11*(depsilon(2)-depsilon_p(2))
+ +C12*(depsilon(3)-depsilon_p(3))
sigma(3) = sigma(3)+C12*(depsilon(1)-depsilon_p(1))
+ +C12*(depsilon(2)-depsilon_p(2))
+ +C11*(depsilon(3)-depsilon_p(3))
sigma(4) = sigma(4)+two*C44*(depsilon(4)-depsilon_p(4))
sigma(5) = sigma(5)+two*C44*(depsilon(5)-depsilon_p(5))
sigma(6) = sigma(6)+two*C44*(depsilon(6)-depsilon_p(6))
!-----------------------------------------------------------------------
! Updating critical resolved shear stresses
!-----------------------------------------------------------------------
#ifdef SCMM_HYPO_VOCE_ONLY
call Voce(q,theta1,tau1,theta2,
+ tau2,dgamma,gamma,tau_c)
#elif defined SCMM_HYPO_KALIDINDI_ONLY
call Kalidindi(q,h0,tau_s,am,dgamma,tau_c)
#else
if(hflag.eq.1)then
call Voce(q,theta1,tau1,theta2,
+ tau2,dgamma,gamma,tau_c)
! hflag=2 (have already checked if hflag is not equal to 1 or 2)
else
call Kalidindi(q,h0,tau_s,am,dgamma,tau_c)
endif
#endif
!-----------------------------------------------------------------------
! Updating accumulated plastic shear strain
!-----------------------------------------------------------------------
gamma =
+ gamma+abs(dgamma(1))+abs(dgamma(2))+abs(dgamma(3))+
+ abs(dgamma(4))+abs(dgamma(5))+abs(dgamma(6))+
+ abs(dgamma(7))+abs(dgamma(8))+abs(dgamma(9))+
+ abs(dgamma(10))+abs(dgamma(11))+abs(dgamma(12))
!-----------------------------------------------------------------------
! Equivalent von mises plastic strain
!-----------------------------------------------------------------------
PEQ = PEQ+sqrt(two*(depsilon_p(1)**2+
+ depsilon_p(2)**2+depsilon_p(3)**2+
+ two*depsilon_p(4)**2+
+ two*depsilon_p(5)**2+
+ two*depsilon_p(6)**2)/three)
!-----------------------------------------------------------------------
! Calculating incremental elastic rotation in the
! global coordinate system
!-----------------------------------------------------------------------
xmat1(1,1) = zero
xmat1(1,2) = -domega_p(3)
xmat1(1,3) = domega_p(2)
xmat1(2,1) = domega_p(3)
xmat1(2,2) = zero
xmat1(2,3) = -domega_p(1)
xmat1(3,1) = -domega_p(2)
xmat1(3,2) = domega_p(1)
xmat1(3,3) = zero
!-----------------------------------------------------------------------
call transform(xmat1,R,RT,xmat2)
!-----------------------------------------------------------------------
domega_e(1) = spininc(1)-xmat2(3,2)
domega_e(2) = spininc(2)-xmat2(1,3)
domega_e(3) = spininc(3)-xmat2(2,1)
!-----------------------------------------------------------------------
! Updating the rotation tensor
!-----------------------------------------------------------------------
call updateR(domega_e,R)
call mtransp(R,RT)
!-----------------------------------------------------------------------
! Updating damage
!-----------------------------------------------------------------------
#if SCMM_HYPO_DFLAG != 0
call UpdateDamage(VVF,sigma,dgamma,q1,q2)
#endif
!-----------------------------------------------------------------------
! End sub-stepping
!-----------------------------------------------------------------------
enddo! End sub-stepping
!-----------------------------------------------------------------------
! Check for failure
!-----------------------------------------------------------------------
#if SCMM_HYPO_DFLAG != 0
if((VVF.ge.VVFC).or.(VVF.ge.one))then
VVF = min(VVFC,one)
isActive = 0
endif
!-----------------------------------------------------------------------
! Calculating the Cauchy stress tensor from the effective stress
!-----------------------------------------------------------------------
sigma = sigma*(one-VVF)
#endif
!-----------------------------------------------------------------------
! Transform the stress tensor back to the global coordinate system
!-----------------------------------------------------------------------
call vec2mat(sigma,xmat1)
call transform(xmat1,R,RT,xmat2)
call mat2vec(xmat2,sigs)
stressNew(km,1) = sigs(1)
stressNew(km,2) = sigs(2)
stressNew(km,3) = sigs(3)
stressNew(km,4) = sigs(4)
stressNew(km,5) = sigs(5)
stressNew(km,6) = sigs(6)
!-----------------------------------------------------------------------
! Updating output variables
!-----------------------------------------------------------------------
a = 4
do j=1,3
do i=1,3
STATENEW(km,a) = R(i,j)! Rotation tensor
a = a+1
enddo
enddo
! Critical resolved shear stresses/ Slip resistances
STATENEW(km,13:24) = tau_c
STATENEW(km,25) = gamma! Accumulated plastic strain
! Equivalent von Mises stress
STATENEW(km,26) = sqrt(half*((sigma(1)-sigma(2))**2
+ +(sigma(2)-sigma(3))**2
+ +(sigma(3)-sigma(1))**2)
+ +three*sigma(4)**2+three*sigma(5)**2
+ +three*sigma(6)**2)
STATENEW(km,27) = PEQ! Equivalent von mises plastic strain
STATENEW(km,28) = nsub! Number of sub steps
#if SCMM_HYPO_DFLAG != 0
STATENEW(km,29) = VVF ! Damage / void volume fraction
! Is the element active or should it be deleted (Abaqus status variable)
STATENEW(km,30) = isActive
#endif
!-----------------------------------------------------------------------
call euler(R,ang)
!-----------------------------------------------------------------------
STATENEW(km,1:3) = ang! Euler angles phi1, PHI, phi2
!-----------------------------------------------------------------------
! end loops
!-----------------------------------------------------------------------
enddo
!-----------------------------------------------------------------------
! End Subroutine
!-----------------------------------------------------------------------
return
end subroutine Hypo
!-----------------------------------------------------------------------
! End preprocessor definitions
!-----------------------------------------------------------------------
#endif
!-----------------------------------------------------------------------