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CPFEM_general now independed of the wrapper code (UMAT, hypela2, etc.) 

renamed CPFEM_stressIP to CPFEM_MaterialPoint
renamed CPFEM_stressCrystallite to CPFEM_Crystallite

introduced new global variables to keep track of FE state within module
FEsolving
This commit is contained in:
Philip Eisenlohr 2008-03-14 21:29:31 +00:00
parent 0a08d9eff0
commit 7975d62586
1 changed files with 606 additions and 561 deletions
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213
trunk/CPFEM.f90
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@ -10,20 +10,20 @@
! *** General variables for the material behaviour calculation ***
! ****************************************************************
real(pReal), dimension (:,:), allocatable :: CPFEM_Temperature
real(pReal), dimension (:,:,:,:), allocatable :: CPFEM_ffn_bar
real(pReal), dimension (:,:,:,:), allocatable :: CPFEM_ffn1_bar
real(pReal), dimension (:,:,:,:), allocatable :: CPFEM_PK1_bar
real(pReal), dimension (:,:,:,:), allocatable :: CPFEM_ffn_all
real(pReal), dimension (:,:,:,:), allocatable :: CPFEM_ffn1_all
real(pReal), dimension (:,:,:,:,:,:),allocatable :: CPFEM_dPdF_bar
real(pReal), dimension (:,:,:), allocatable :: CPFEM_stress_bar
real(pReal), dimension (:,:,:,:), allocatable :: CPFEM_jaco_bar
real(pReal), dimension (:,:,:,:), allocatable :: CPFEM_results
real(pReal), dimension (:,:,:,:), allocatable :: CPFEM_ini_ori
real(pReal), dimension (:,:,:,:,:), allocatable :: CPFEM_Fp_old
real(pReal), dimension (:,:,:,:,:), allocatable :: CPFEM_Fp_new
real(pReal), dimension (:,:,:,:,:,:),allocatable :: CPFEM_dPdF_bar
real(pReal), parameter :: CPFEM_odd_stress = 1e15_pReal, CPFEM_odd_jacobian = 1e50_pReal
integer(pInt) :: CPFEM_inc_old = 0_pInt
integer(pInt) :: CPFEM_subinc_old = 1_pInt
integer(pInt) :: CPFEM_cycle_old = -1_pInt
integer(pInt) :: CPFEM_Nresults = 4_pInt ! three Euler angles plus volume fraction
logical :: CPFEM_first_call = .true.
logical :: CPFEM_init_done = .false. ! remember if init has been done already
logical :: CPFEM_calc_done = .false. ! remember if first IP has already calced the results
!
CONTAINS
!
@ -31,7 +31,7 @@
!*** allocate the arrays defined in module CPFEM ***
!*** and initialize them ***
!*********************************************************
SUBROUTINE CPFEM_init()
SUBROUTINE CPFEM_init(Temperature)
!
use prec
use math, only: math_EulertoR, math_I3, math_identity2nd
@ -40,39 +40,43 @@
!
implicit none
!
real(pReal) Temperature
integer(pInt) e,i,g
!
! *** mpie.marc parameters ***
allocate(CPFEM_Temperature (mesh_maxNips,mesh_NcpElems)) ; CPFEM_Temperature = 0.0_pReal
allocate(CPFEM_ffn_all (3,3,mesh_maxNips,mesh_NcpElems))
forall(e=1:mesh_NcpElems,i=1:mesh_maxNips) CPFEM_ffn_all(:,:,i,e) = math_I3
allocate(CPFEM_ffn1_all (3,3,mesh_maxNips,mesh_NcpElems)) ; CPFEM_ffn1_all = CPFEM_ffn_all
allocate(CPFEM_Temperature (mesh_maxNips,mesh_NcpElems)) ; CPFEM_Temperature = Temperature
allocate(CPFEM_ffn_bar (3,3,mesh_maxNips,mesh_NcpElems))
forall(e=1:mesh_NcpElems,i=1:mesh_maxNips) CPFEM_ffn_bar(:,:,i,e) = math_I3
allocate(CPFEM_ffn1_bar (3,3,mesh_maxNips,mesh_NcpElems)) ; CPFEM_ffn1_bar = CPFEM_ffn_bar
allocate(CPFEM_PK1_bar (3,3,mesh_maxNips,mesh_NcpElems)) ; CPFEM_PK1_bar = 0.0_pReal
allocate(CPFEM_dPdF_bar(3,3,3,3,mesh_maxNips,mesh_NcpElems)) ; CPFEM_dPdF_bar = 0.0_pReal
allocate(CPFEM_stress_bar(6,mesh_maxNips,mesh_NcpElems)) ; CPFEM_stress_bar = 0.0_pReal
allocate(CPFEM_jaco_bar(6,6,mesh_maxNips,mesh_NcpElems)) ; CPFEM_jaco_bar = 0.0_pReal
!
! *** User defined results !!! MISSING incorporate consti_Nresults ***
allocate(CPFEM_results(CPFEM_Nresults+constitutive_maxNresults,constitutive_maxNgrains,mesh_maxNips,mesh_NcpElems))
CPFEM_results = 0.0_pReal
!
! *** Plastic deformation gradient at (t=t0) and (t=t1) ***
allocate(CPFEM_Fp_new(3,3,constitutive_maxNgrains,mesh_maxNips,mesh_NcpElems)) ; CPFEM_Fp_new = 0.0_pReal
allocate(CPFEM_Fp_old(3,3,constitutive_maxNgrains,mesh_maxNips,mesh_NcpElems))
forall (e=1:mesh_NcpElems,i=1:mesh_maxNips,g=1:constitutive_maxNgrains) &
CPFEM_Fp_old(:,:,g,i,e) = math_EulerToR(constitutive_EulerAngles(:,g,i,e)) ! plastic def gradient reflects init orientation
allocate(CPFEM_Fp_new(3,3,constitutive_maxNgrains,mesh_maxNips,mesh_NcpElems)) ; CPFEM_Fp_new = 0.0_pReal
!
! *** FEM jacobian (consistent tangent) ***
allocate(CPFEM_dPdF_bar(3,3,3,3,mesh_maxNips,mesh_NcpElems)) ; CPFEM_dPdF_bar = 0.0_pReal
!
! *** Output to MARC output file ***
write(6,*)
write(6,*) 'Arrays allocated:'
write(6,*) 'CPFEM Initialization'
write(6,*)
write(6,*) 'CPFEM_Temperature: ', shape(CPFEM_Temperature)
write(6,*) 'CPFEM_ffn_all: ', shape(CPFEM_ffn_all)
write(6,*) 'CPFEM_ffn1_all: ', shape(CPFEM_ffn1_all)
write(6,*) 'CPFEM_ffn_bar: ', shape(CPFEM_ffn_bar)
write(6,*) 'CPFEM_ffn1_bar: ', shape(CPFEM_ffn1_bar)
write(6,*) 'CPFEM_PK1_bar: ', shape(CPFEM_PK1_bar)
write(6,*) 'CPFEM_dPdF_bar: ', shape(CPFEM_dPdF_bar)
write(6,*) 'CPFEM_stress_bar: ', shape(CPFEM_stress_bar)
write(6,*) 'CPFEM_jaco_bar: ', shape(CPFEM_jaco_bar)
write(6,*) 'CPFEM_results: ', shape(CPFEM_results)
write(6,*) 'CPFEM_Fp_old: ', shape(CPFEM_Fp_old)
write(6,*) 'CPFEM_Fp_new: ', shape(CPFEM_Fp_new)
write(6,*) 'CPFEM_dPdF_bar: ', shape(CPFEM_dPdF_bar)
write(6,*)
call flush(6)
return
@ -83,12 +87,25 @@
!***********************************************************************
!*** perform initialization at first call, update variables and ***
!*** call the actual material model ***
!
! CPFEM_mode computation mode (regular, collection, recycle)
! ffn deformation gradient for t=t0
! ffn1 deformation gradient for t=t1
! Temperature temperature
! CPFEM_dt time increment
! CPFEM_en element number
! CPFEM_in intergration point number
! CPFEM_stress stress vector in Mandel notation
! CPFEM_updateJaco flag to initiate computation of Jacobian
! CPFEM_jaco jacobian in Mandel notation
! CPFEM_ngens size of stress strain law
!***********************************************************************
SUBROUTINE CPFEM_general(ffn, ffn1, Temperature, CPFEM_inc, CPFEM_subinc, CPFEM_cn, CPFEM_stress_recovery, CPFEM_dt,&
CPFEM_en, CPFEM_in, CPFEM_stress, CPFEM_jaco, CPFEM_ngens)
SUBROUTINE CPFEM_general(CPFEM_mode, ffn, ffn1, Temperature, CPFEM_dt,&
CPFEM_en, CPFEM_in, CPFEM_stress, CPFEM_updateJaco, CPFEM_jaco, CPFEM_ngens)
! note: CPFEM_stress = Cauchy stress cs(6) and CPFEM_jaco = Consistent tangent dcs/de
!
use prec, only: pReal,pInt
use FEsolving
use debug
use math, only: math_init, invnrmMandel, math_identity2nd, math_Mandel3333to66,math_Mandel33to6,math_Mandel6to33,math_det3x3,math_I3
use mesh, only: mesh_init,mesh_FEasCP, mesh_NcpElems, FE_Nips, FE_mapElemtype, mesh_element
@ -96,86 +113,93 @@
use constitutive, only: constitutive_init,constitutive_state_old,constitutive_state_new,material_Cslip_66
implicit none
!
integer(pInt) CPFEM_inc, CPFEM_subinc, CPFEM_cn, CPFEM_en, CPFEM_in, cp_en, CPFEM_ngens, i,j,k,l,m,n, e
real(pReal) ffn(3,3),ffn1(3,3),Temperature,CPFEM_dt,CPFEM_stress(CPFEM_ngens),CPFEM_jaco(CPFEM_ngens,CPFEM_ngens),Kirchhoff_bar(3,3), &
H_bar(3,3,3,3),J_inverse
logical CPFEM_stress_recovery
integer(pInt) CPFEM_en, CPFEM_in, cp_en, CPFEM_ngens, i,j,k,l,m,n, e
real(pReal), dimension (3,3) :: ffn,ffn1,Kirchhoff_bar
real(pReal), dimension (3,3,3,3) :: H_bar
real(pReal), dimension(CPFEM_ngens) :: CPFEM_stress
real(pReal), dimension(CPFEM_ngens,CPFEM_ngens) :: CPFEM_jaco
real(pReal) Temperature,CPFEM_dt,J_inverse
integer(pInt) CPFEM_mode ! 1: regular computation, 2: collection, 3: recycling
logical CPFEM_updateJaco
!
! calculate only every second cycle
if (mod(CPFEM_cn,2) /= 0) then ! odd cycle: record data for use in even cycle and return stiff result for this odd cycle
cp_en = mesh_FEasCP('elem',CPFEM_en)
CPFEM_Temperature(CPFEM_in, cp_en) = Temperature
CPFEM_ffn_all(:,:,CPFEM_in, cp_en) = ffn
CPFEM_ffn1_all(:,:,CPFEM_in, cp_en) = ffn1
CPFEM_stress(1:CPFEM_ngens) = CPFEM_odd_stress
CPFEM_jaco(1:CPFEM_ngens,1:CPFEM_ngens) = CPFEM_odd_jacobian*math_identity2nd(CPFEM_ngens)
CPFEM_cycle_old = CPFEM_cn
!
else ! even cycle: really calculate only in first call of new cycle and when in stress recovery
if (CPFEM_cn /= CPFEM_cycle_old .and. CPFEM_stress_recovery) then
if (CPFEM_first_call) then ! initialization step
! three dimensional stress state ?
if (.not. CPFEM_init_done) then ! initialization step
! three dimensional stress state check missing?
call math_init()
call mesh_init()
call crystal_Init()
call crystal_init()
call constitutive_init()
call CPFEM_init()
CPFEM_Temperature = Temperature
CPFEM_first_call = .false.
call CPFEM_init(Temperature)
CPFEM_init_done = .true.
endif
!
if (CPFEM_inc == CPFEM_inc_old) then ! not a new increment
if (CPFEM_subinc > CPFEM_subinc_old) then ! new subincrement: update starting with subinc 2
cp_en = mesh_FEasCP('elem',CPFEM_en)
if (cp_en == 1 .and. CPFEM_in == 1) &
write(6,'(a6,x,i4,x,a4,x,i4,x,a10,x,i2,x,a10,x,i2,x,a10,x,i2)') &
'elem',cp_en,'IP',CPFEM_in,'theInc',theInc,'theCycle',theCycle,'theLovl',theLovl,'mode',CPFEM_mode
select case (CPFEM_mode)
case (2,1) ! regular computation (with aging of results)
if (.not. CPFEM_calc_done) then ! puuh, me needs doing all the work...
write (6,*) 'puuh me needs doing all the work', cp_en
if (CPFEM_mode == 1) then ! age results at start of new increment
CPFEM_Fp_old = CPFEM_Fp_new
constitutive_state_old = constitutive_state_new
CPFEM_subinc_old = CPFEM_subinc
write (6,*) '#### aged results'
endif
else ! new increment
CPFEM_Fp_old = CPFEM_Fp_new
constitutive_state_old = constitutive_state_new
CPFEM_inc_old = CPFEM_inc
CPFEM_subinc_old = 1_pInt
endif
CPFEM_cycle_old = CPFEM_cn
debug_cutbackDistribution = 0_pInt ! initialize debugging data
debug_InnerLoopDistribution = 0_pInt
debug_OuterLoopDistribution = 0_pInt
!
! this shall be done in a parallel loop in the future
do e=1,mesh_NcpElems
do i=1,FE_Nips(FE_mapElemtype(mesh_element(2,e)))
debugger = (e==1 .and. i==1)
call CPFEM_stressIP(CPFEM_cn, CPFEM_dt, i, e)
do e=1,mesh_NcpElems ! ## this shall be done in a parallel loop in the future ##
do i=1,FE_Nips(mesh_element(2,e)) ! iterate over all IPs of this element's type
debugger = (e==1 .and. i==1) ! switch on debugging for first IP in first element
call CPFEM_MaterialPoint(CPFEM_updateJaco, CPFEM_dt, i, e)
enddo
enddo
call debug_info() ! output of debugging/performance statistics
CPFEM_calc_done = .true. ! now calc is done
endif
!
! return stress and the jacobian
cp_en = mesh_FEasCP('elem', CPFEM_en)
Kirchhoff_bar = matmul(CPFEM_PK1_bar(:,:,CPFEM_in, cp_en),transpose(CPFEM_ffn1_all(:,:,CPFEM_in, cp_en)))
J_inverse = 1.0_pReal/math_det3x3(CPFEM_ffn1_all(:,:,CPFEM_in, cp_en))
CPFEM_stress(1:CPFEM_ngens) = math_Mandel33to6(J_inverse*Kirchhoff_bar)
! translate from P and dP/dF to CS and dCS/dE
Kirchhoff_bar = matmul(CPFEM_PK1_bar(:,:,CPFEM_in, cp_en),transpose(CPFEM_ffn1_bar(:,:,CPFEM_in, cp_en)))
J_inverse = 1.0_pReal/math_det3x3(CPFEM_ffn1_bar(:,:,CPFEM_in, cp_en))
CPFEM_stress_bar(1:CPFEM_ngens,CPFEM_in,cp_en) = math_Mandel33to6(J_inverse*Kirchhoff_bar)
!
H_bar = 0.0_pReal
forall(i=1:3,j=1:3,k=1:3,l=1:3,m=1:3,n=1:3) &
H_bar(i,j,k,l) = H_bar(i,j,k,l) + &
(CPFEM_ffn1_all(j,m,CPFEM_in, cp_en)*CPFEM_ffn1_all(l,n,CPFEM_in, cp_en)*CPFEM_dPdF_bar(i,m,k,n,CPFEM_in, cp_en) - &
math_I3(j,l)*CPFEM_ffn1_all(i,m,CPFEM_in, cp_en)*CPFEM_PK1_bar(k,m, CPFEM_in, cp_en)) + &
(CPFEM_ffn1_bar(j,m,CPFEM_in, cp_en)*CPFEM_ffn1_bar(l,n,CPFEM_in, cp_en)*CPFEM_dPdF_bar(i,m,k,n,CPFEM_in, cp_en) - &
math_I3(j,l)*CPFEM_ffn1_bar(i,m,CPFEM_in, cp_en)*CPFEM_PK1_bar(k,m, CPFEM_in, cp_en)) + &
0.5_pReal*(math_I3(i,k)*Kirchhoff_bar(j,l) + math_I3(j,l)*Kirchhoff_bar(i,k) + &
math_I3(i,l)*Kirchhoff_bar(j,k) + math_I3(j,k)*Kirchhoff_bar(i,l))
CPFEM_jaco(1:CPFEM_ngens,1:CPFEM_ngens) = math_Mandel3333to66(J_inverse*H_bar)
end if
CPFEM_jaco_bar(1:CPFEM_ngens,1:CPFEM_ngens,CPFEM_in,cp_en) = math_Mandel3333to66(J_inverse*H_bar)
case (3) ! collect and return odd result
CPFEM_Temperature(CPFEM_in,cp_en) = Temperature
CPFEM_ffn_bar(:,:,CPFEM_in,cp_en) = ffn
CPFEM_ffn1_bar(:,:,CPFEM_in,cp_en) = ffn1
CPFEM_stress_bar(1:CPFEM_ngens,CPFEM_in,cp_en) = CPFEM_odd_stress
CPFEM_jaco_bar(1:CPFEM_ngens,1:CPFEM_ngens,CPFEM_in,cp_en) = CPFEM_odd_jacobian*math_identity2nd(CPFEM_ngens)
CPFEM_calc_done = .false.
case (4) ! do nothing since we can recycle the former results (MARC specialty)
end select
!
! return the local stress and the jacobian from storage
CPFEM_stress(1:CPFEM_ngens) = CPFEM_stress_bar(1:CPFEM_ngens,CPFEM_in,cp_en)
CPFEM_jaco(1:CPFEM_ngens,1:CPFEM_ngens) = CPFEM_jaco_bar(1:CPFEM_ngens,1:CPFEM_ngens,CPFEM_in,cp_en)
if (cp_en == 1 .and. CPFEM_in == 1) write (6,*) 'stress',CPFEM_stress
!
return
!
END SUBROUTINE
!
!**********************************************************
!*** calculate the material behaviour at IP level ***
!*** calculate the material point behaviour ***
!**********************************************************
SUBROUTINE CPFEM_stressIP(&
CPFEM_cn,& ! Cycle number
SUBROUTINE CPFEM_MaterialPoint(&
updateJaco,& ! flag to initiate Jacobian updating
CPFEM_dt,& ! Time increment (dt)
CPFEM_in,& ! Integration point number
cp_en) ! Element number
@ -190,7 +214,7 @@
!
integer(pInt), parameter :: i_now = 1_pInt,i_then = 2_pInt
character(len=128) msg
integer(pInt) CPFEM_cn,cp_en,CPFEM_in,grain,i,max_cutbacks
integer(pInt) cp_en,CPFEM_in,grain,i,max_cutbacks
logical updateJaco,error,cutback,post_flag
real(pReal) CPFEM_dt,dt,t,volfrac,det
real(pReal), dimension(3,3) :: PK1
@ -199,8 +223,6 @@
real(pReal), dimension(3,3,2) :: Fg,Fp
real(pReal), dimension(constitutive_maxNstatevars,2) :: state
real(pReal), dimension (:), allocatable :: post_results
!
updateJaco = (mod(CPFEM_cn,2_pInt*ijaco)==0) ! update consistent tangent every ijaco'th iteration
!
CPFEM_PK1_bar(:,:,CPFEM_in,cp_en) = 0.0_pReal ! zero out average first PK stress
if (updateJaco) CPFEM_dPdF_bar(:,:,:,:,CPFEM_in,cp_en) = 0.0_pReal ! zero out average consistent tangent
@ -213,11 +235,11 @@
max_cutbacks = 0_pInt ! maximum depth of cut backing
dt = CPFEM_dt
state(:,i_now) = constitutive_state_old(:,grain,CPFEM_in,cp_en)
Fg(:,:,i_now) = CPFEM_ffn_all(:,:,CPFEM_in,cp_en)
Fg(:,:,i_now) = CPFEM_ffn_bar(:,:,CPFEM_in,cp_en)
Fp(:,:,i_now) = CPFEM_Fp_old(:,:,grain,CPFEM_in,cp_en)
invFgthen = 0.0_pReal
invFpnow = 0.0_pReal
call math_invert3x3(CPFEM_ffn1_all(:,:,CPFEM_in,cp_en),invFgthen,det,error)
call math_invert3x3(CPFEM_ffn1_bar(:,:,CPFEM_in,cp_en),invFgthen,det,error)
call math_invert3x3(Fp(:,:,i_now),invFpnow,det,error)
if (dt /= 0.0_pReal) then
Lp = (math_I3-matmul(Fp(:,:,i_now),matmul(invFgthen,matmul(Fg(:,:,i_now),invFpnow))))/dt ! fully plastic initial guess
@ -225,13 +247,24 @@
Lp = 0.0_pReal ! fully elastic guess
endif
!
deltaFg = CPFEM_ffn1_all(:,:,CPFEM_in,cp_en)-CPFEM_ffn_all(:,:,CPFEM_in,cp_en)
deltaFg = CPFEM_ffn1_bar(:,:,CPFEM_in,cp_en)-CPFEM_ffn_bar(:,:,CPFEM_in,cp_en)
Fg(:,:,i_then) = Fg(:,:,i_now)
Fp(:,:,i_then) = Fp(:,:,i_now)
state(:,i_then) = 0.0_pReal ! state_old as initial guess
t = 0.0_pReal
cutback = .false. ! no cutback has happened so far
msg = ''
if (debugger) then
write(6,*) 'required Fg from FEM'
write(6,'(3(3(f5.3,x),/))') CPFEM_ffn1_bar(:,:,CPFEM_in,cp_en)
write(6,*) 'my Fp_old'
write(6,'(3(3(f5.3,x),/))') CPFEM_Fp_old(:,:,grain,CPFEM_in,cp_en)
write(6,*) 'my Fp_new'
write(6,'(3(3(f5.3,x),/))') CPFEM_Fp_new(:,:,grain,CPFEM_in,cp_en)
write(6,*) 'my state old'
write(6,*) constitutive_state_old(:,grain,CPFEM_in,cp_en)
endif
!
! ------- crystallite integration -----------
do while ((t < CPFEM_dt) .or. (msg /= 'ok'))
@ -242,11 +275,14 @@
post_flag = .false.
else ! full step solution
t = CPFEM_dt ! final time
Fg(:,:,i_then) = CPFEM_ffn1_all(:,:,CPFEM_in,cp_en) ! final Fg
Fg(:,:,i_then) = CPFEM_ffn1_bar(:,:,CPFEM_in,cp_en) ! final Fg
post_flag = .true.
endif
!
call CPFEM_stressCrystallite(msg,PK1,dPdF,post_results,post_flag,Lp,Fp(:,:,i_then),Fe,state(:,i_then),&
if (debugger .and. CPFEM_dt > 0.0_pReal) &
write (6,'(a,x,f7.5,x,a,x,f7.5,x,a,i2)') 'calculating from',(t-dt)/CPFEM_dt,'to',t/CPFEM_dt,'for grain',grain
call CPFEM_Crystallite(msg,PK1,dPdF,post_results,post_flag,Lp,Fp(:,:,i_then),Fe,state(:,i_then),&
t,cp_en,CPFEM_in,grain,updateJaco .and. t==CPFEM_dt,&
Fg(:,:,i_then),Fp(:,:,i_now),state(:,i_now))
if (msg == 'ok') then ! solution converged
@ -260,6 +296,7 @@
endif
cutback = .false. ! solution in next step does not derive from a cutback
else ! solution not found
if (debugger) write (6,*) msg
i = i+1_pInt ! inc cutback counter
max_cutbacks = max(i,max_cutbacks)
cutback = .true.
@ -278,6 +315,7 @@
endif
endif
enddo ! crystallite integration (cutback loop)
debug_cutbackDistribution(max_cutbacks+1) = debug_cutbackDistribution(max_cutbacks+1)+1
!
! update crystallite matrices at t = t1
@ -314,7 +352,7 @@
!********************************************************************
! Calculates the stress for a single component
!********************************************************************
subroutine CPFEM_stressCrystallite(&
subroutine CPFEM_Crystallite(&
msg,& ! return message
P,& ! first PK stress
dPdF,& ! consistent tangent
@ -512,6 +550,13 @@ Inner: do ! inner iteration: Lp
call math_invert(9,dRdLp,invdRdLp,dummy,failed) ! invert dR/dLp --> dLp/dR
if (failed) then
msg = 'inversion dR/dLp'
if (debugger) then
write (6,*) msg
write (6,*) 'dRdLp',dRdLp
write (6,*) 'state',state
write (6,*) 'Lpguess',Lpguess
write (6,*) 'Tstar',Tstar_v
endif
return
endif
!