c http://abaqus-users.1086179.n5.nabble.com/Hashin-damage-theory-td12032.html
subroutine vumat(
c Read only -
1 nblock, ndir, nshr, nstatev, nfieldv, nprops, lanneal,
2 stepTime, totalTime, dt, cmname, coordMp, charLength,
3 props, density, strainInc, relSpinInc,
4 tempOld, stretchOld, defgradOld, fieldOld,
5 stressOld, stateOld, enerInternOld, enerInelasOld,
6 tempNew, stretchNew, defgradNew, fieldNew,
c Write only -
7 stressNew, stateNew, enerInternNew, enerInelasNew )
c
include 'vaba_param.inc'
c
c 3D Orthotropic Elasticity with Hashin 3d Failure criterion
c
c The state variables are stored as:
c state(*,1) = material point status
c state(*,2:7) = damping stresses
c
c User defined material properties are stored as
c * First line:
c props(1) --> Young's modulus in 1-direction, E1
c props(2) --> Young's modulus in 2-direction, E2
c props(3) --> Young's modulus in 3-direction, E3
c props(4) --> Poisson's ratio, nu12
c props(5) --> Poisson's ratio, nu13
c props(6) --> Poisson's ratio, nu23
c props(7) --> Shear modulus, G12
c props(8) --> Shear modulus, G13
c
c * Second line:
c props(9) --> Shear modulus, G23
c props(10) --> beta damping parameter
c props(11) --> "not used"
c props(12) --> "not used"
c props(13) --> "not used"
c props(14) --> "not used"
c props(15) --> "not used"
c props(16) --> "not used"
c
c * Third line:
c props(17) --> Ultimate tens stress in 1-direction, sigu1t
c props(18) --> Ultimate comp stress in 1-direction, sigu1c
c props(19) --> Ultimate tens stress in 2-direction, sigu2t
c props(20) --> Ultimate comp stress in 2-direction, sigu2c
c props(21) --> Ultimate tens stress in 2-direction, sigu3t
c props(22) --> Ultimate comp stress in 2-direction, sigu3c
c props(23) --> "not used"
c props(24) --> "not used"
c
c * Fourth line:
c props(25) --> Ultimate shear stress, sigu12
c props(26) --> Ultimate shear stress, sigu13
c props(27) --> Ultimate shear stress, sigu23
c props(28) --> "not used"
c props(29) --> "not used"
c props(30) --> "not used"
c props(31) --> "not used"
c props(32) --> "not used"
c
dimension props(nprops), density(nblock),
1 coordMp(nblock,*),
2 charLength(*), strainInc(nblock,ndir+nshr),
3 relSpinInc(nblock,nshr), tempOld(nblock),
4 stretchOld(nblock,ndir+nshr), defgradOld(nblock,ndir+nshr+nshr),
5 fieldOld(nblock,nfieldv), stressOld(nblock,ndir+nshr),
6 stateOld(nblock,nstatev), enerInternOld(nblock),
7 enerInelasOld(nblock), tempNew(*),
8 stretchNew(nblock,ndir+nshr), defgradNew(nblock,ndir+nshr+nshr),
9 fieldNew(nblock,nfieldv), stressNew(nblock,ndir+nshr),
1 stateNew(nblock,nstatev),
2 enerInternNew(nblock), enerInelasNew(nblock)
*
character*80 cmname
*
parameter( zero = 0.d0, one = 1.d0, two = 2.d0, half = .5d0 )
*
parameter(
* i_svd_DmgFiberT = 1,
* i_svd_DmgFiberC = 2,
* i_svd_DmgMatrixT = 3,
* i_svd_DmgMatrixC = 4,
* i_svd_statusMp = 5,
* i_svd_dampStress = 6,
c * i_svd_dampStressXx = 6,
c * i_svd_dampStressYy = 7,
c * i_svd_dampStressZz = 8,
c * i_svd_dampStressXy = 9,
c * i_svd_dampStressYz = 10,
c * i_svd_dampStressZx = 11,
* i_svd_Strain = 12,
c * i_svd_StrainXx = 12,
c * i_svd_StrainYy = 13,
c * i_svd_StrainZz = 14,
c * i_svd_StrainXy = 15,
c * i_svd_StrainYz = 16,
c * i_svd_StrainZx = 17,
* n_svd_required = 17 )
*
parameter(
* i_s33_Xx = 1,
* i_s33_Yy = 2,
* i_s33_Zz = 3,
* i_s33_Xy = 4,
* i_s33_Yz = 5,
* i_s33_Zx = 6 )
*
* Structure of property array
parameter (
* i_pro_E1 = 1,
* i_pro_E2 = 2,
* i_pro_E3 = 3,
* i_pro_nu12 = 4,
* i_pro_nu13 = 5,
* i_pro_nu23 = 6,
* i_pro_G12 = 7,
* i_pro_G13 = 8,
* i_pro_G23 = 9,
*
* i_pro_beta = 10,
*
* i_pro_sigu1t = 17,
* i_pro_sigu1c = 18,
* i_pro_sigu2t = 19,
* i_pro_sigu2c = 20,
* i_pro_sigu3t = 21,
* i_pro_sigu3c = 22,
* i_pro_sigu12 = 25,
* i_pro_sigu13 = 26,
* i_pro_sigu23 = 27 )
* Temporary arrays
dimension eigen(maxblk*3)
*
* Read material properties
*
E1 = props(i_pro_E1)
E2 = props(i_pro_E2)
E3 = props(i_pro_E3)
xnu12 = props(i_pro_nu12)
xnu13 = props(i_pro_nu13)
xnu23 = props(i_pro_nu23)
G12 = props(i_pro_G12)
G13 = props(i_pro_G13)
G23 = props(i_pro_G23)
*
xnu21 = xnu12 * E2 / E1
xnu31 = xnu13 * E3 / E1
xnu32 = xnu23 * E3 / E2
*
*
* Compute terms of stiffness matrix
gg = one / ( one - xnu12*xnu21 - xnu23*xnu32 - xnu31*xnu13
* - two*xnu21*xnu32*xnu13 )
C11 = E1 * ( one - xnu23*xnu32 ) * gg
C22 = E2 * ( one - xnu13*xnu31 ) * gg
C33 = E3 * ( one - xnu12*xnu21 ) * gg
C12 = E1 * ( xnu21 + xnu31*xnu23 ) * gg
C13 = E1 * ( xnu31 + xnu21*xnu32 ) * gg
C23 = E2 * ( xnu32 + xnu12*xnu31 ) * gg
*
f1t = props(i_pro_sigu1t)
f1c = props(i_pro_sigu1c)
f2t = props(i_pro_sigu2t)
f2c = props(i_pro_sigu2c)
f3t = props(i_pro_sigu3t)
f3c = props(i_pro_sigu3c)
f12 = props(i_pro_sigu12)
f13 = props(i_pro_sigu13)
f23 = props(i_pro_sigu23)
*
beta = props(i_pro_beta)
*
* Assume purely elastic material at the beginning of the analysis
*
if ( totalTime .eq. zero ) then
if (nstatev .lt. n_svd_Required) then
call xplb_abqerr(-2,'Subroutine VUMAT requires the '//
* 'specification of %I state variables. Check the '//
* 'definition of *DEPVAR in the input file.',
* n_svd_Required,zero,' ')
call xplb_exit
end if
call OrthoEla3dExp ( nblock,
* stateOld(1,i_svd_DmgFiberT),
* stateOld(1,i_svd_DmgFiberC),
* stateOld(1,i_svd_DmgMatrixT),
* stateOld(1,i_svd_DmgMatrixC),
* C11, C22, C33, C12, C23, C13, G12, G23, G13,
* strainInc,
* stressNew )
return
end if
*
* Update total elastic strain
call strainUpdate ( nblock, strainInc,
* stateOld(1,i_svd_strain), stateNew(1,i_svd_strain) )
*
* Stress update
call OrthoEla3dExp ( nblock,
* stateOld(1,i_svd_DmgFiberT),
* stateOld(1,i_svd_DmgFiberC),
* stateOld(1,i_svd_DmgMatrixT),
* stateOld(1,i_svd_DmgMatrixC),
* C11, C22, C33, C12, C23, C13, G12, G23, G13,
* stateNew(1,i_svd_strain),
* stressNew )
*
* Failure evaluation
*
call copyr ( nblock,
* stateOld(1,i_svd_DmgFiberT), stateNew(1,i_svd_DmgFiberT) )
call copyr ( nblock,
* stateOld(1,i_svd_DmgFiberC), stateNew(1,i_svd_DmgFiberC) )
call copyr ( nblock,
* stateOld(1,i_svd_DmgMatrixT), stateNew(1,i_svd_DmgMatrixT) )
call copyr ( nblock,
* stateOld(1,i_svd_DmgMatrixC), stateNew(1,i_svd_DmgMatrixC) )
nDmg = 0
call eig33Anal ( nblock, stretchNew, eigen )
call Hashin3d ( nblock, nDmg,
* f1t, f2t, f3t, f1c, f2c, f3c, f12, f23, f13,
* stateNew(1,i_svd_DmgFiberT),
* stateNew(1,i_svd_DmgFiberC),
- 1
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