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PlasticSolve.F90
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PlasticSolve.F90
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!/*****************************************************************************/
! *
! * Elmer, A Finite Element Software for Multiphysical Problems
! *
! * Copyright 1st April 1995 - , CSC - IT Center for Science Ltd., Finland
! *
! * This program is free software; you can redistribute it and/or
! * modify it under the terms of the GNU General Public License
! * as published by the Free Software Foundation; either version 2
! * of the License, or (at your option) any later version.
! *
! * This program is distributed in the hope that it will be useful,
! * but WITHOUT ANY WARRANTY; without even the implied warranty of
! * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
! * GNU General Public License for more details.
! *
! * You should have received a copy of the GNU General Public License
! * along with this program (in file fem/GPL-2); if not, write to the
! * Free Software Foundation, Inc., 51 Franklin Street, Fifth Floor,
! * Boston, MA 02110-1301, USA.
! *
! *****************************************************************************/
!
!/******************************************************************************
! *
! * Authors: Juha Ruokolainen, Mikko Lyly, Mika Malinen
! * Email: [email protected], [email protected]
! * Web: http://www.csc.fi/elmer
! * Address: CSC - IT Center for Science Ltd.
! * Keilaranta 14
! * 02101 Espoo, Finland
! *
! * Original Date: 08 Jun 1997
! *
! * Modified to use Plastic UMAT_P Model and removed transient restriction
! *****************************************************************************/
!------------------------------------------------------------------------------
!> Initializations for the primary solver: PlasticSolver
!------------------------------------------------------------------------------
SUBROUTINE PlasticSolver_Init0( Model,Solver,dt,Transient )
!------------------------------------------------------------------------------
USE DefUtils
IMPLICIT NONE
TYPE(Model_t) :: Model
TYPE(Solver_t) :: Solver
REAL(KIND=dp) :: dt
LOGICAL :: Transient
!------------------------------------------------------------------------------
TYPE(ValueList_t), POINTER :: SolverParams
LOGICAL :: MixedFormulation, Found
!------------------------------------------------------------------------------
SolverParams => GetSolverParams()
MixedFormulation = GetLogical(SolverParams, 'Mixed Formulation', Found) .AND. &
GetLogical(SolverParams, 'Neo-Hookean Material', Found)
IF( MixedFormulation ) THEN
CALL ListAddNewString( SolverParams, "Element", "p:2" )
END IF
!------------------------------------------------------------------------------
END SUBROUTINE PlasticSolver_Init0
!------------------------------------------------------------------------------
!------------------------------------------------------------------------------
SUBROUTINE PlasticSolver_Init( Model,Solver,dt,Transient )
!------------------------------------------------------------------------------
USE DefUtils
IMPLICIT NONE
TYPE(Model_t) :: Model
TYPE(Solver_t) :: Solver
REAL(KIND=dp) :: dt
LOGICAL :: Transient
!------------------------------------------------------------------------------
TYPE(ValueList_t), POINTER :: SolverParams
INTEGER :: dim, i, DOFs
LOGICAL :: Found, AxialSymmetry, MixedFormulation
LOGICAL :: CalculateStrains, CalculateStresses
LOGICAL :: CalcPrincipalAngle, CalcPrincipal
LOGICAL :: CalcPrincipalStress, CalcPrincipalStrain
LOGICAL :: UseUMAT, OutputStateVars
!------------------------------------------------------------------------------
SolverParams => GetSolverParams()
AxialSymmetry = CurrentCoordinateSystem() == AxisSymmetric
MixedFormulation = GetLogical(SolverParams, 'Mixed Formulation', Found) .AND. &
GetLogical(SolverParams, 'Neo-Hookean Material', Found)
IF ( .NOT. ListCheckPresent( SolverParams, 'Variable') ) THEN
dim = CoordinateSystemDimension()
IF (MixedFormulation) THEN
DOFs = dim + 1
SELECT CASE(dim)
CASE(2)
CALL ListAddString( SolverParams, 'Variable', 'MixedSol[Disp:2 Pres:1]' )
CASE(3)
CALL ListAddString( SolverParams, 'Variable', 'MixedSol[Disp:3 Pres:1]' )
END SELECT
ELSE
DOFs = dim
CALL ListAddString( SolverParams, 'Variable', 'Displacement' )
END IF
CALL ListAddInteger( SolverParams, 'Variable DOFs', DOFs )
END IF
CALL ListAddInteger( SolverParams,'Time derivative order', 2 )
CALL ListAddNewLogical( SolverParams,'Bubbles in Global System',.TRUE.)
CALL ListAddNewLogical( SolverParams,'Displace Mesh At Init',.TRUE.)
CalculateStrains = GetLogical(SolverParams, 'Calculate Strains', Found)
CalculateStresses = GetLogical(SolverParams, 'Calculate Stresses', Found)
!-------------------------------------------------------------------------------
! If stress computation is requested somewhere, then enforce it:
!--------------------------------------------------------------------------------
IF( .NOT. CalculateStresses ) THEN
CalculateStresses = ListGetLogicalAnyEquation( Model,'Calculate Stresses')
IF ( CalculateStresses ) CALL ListAddLogical( SolverParams,'Calculate Stresses',.TRUE.)
END IF
CalcPrincipal = GetLogical(SolverParams, 'Calculate Principal', Found)
CalcPrincipalAngle = GetLogical(SolverParams, 'Calculate PAngle', Found)
IF (CalcPrincipalAngle) CalcPrincipal = .TRUE. ! Principal angle computation enforces component calculation
!----------------------------------------------------------------------------------------------------
CalcPrincipalStress = CalculateStresses .AND. CalcPrincipal
CalcPrincipalStrain = CalculateStrains .AND. CalcPrincipal
IF ( CalculateStresses ) THEN
IF (AxialSymmetry) THEN
CALL ListAddString( SolverParams,&
NextFreeKeyword('Exported Variable ',SolverParams), &
'Stress[Stress_xx:1 Stress_zz:1 Stress_yy:1 Stress_xy:1]' )
ELSE
CALL ListAddString( SolverParams,&
NextFreeKeyword('Exported Variable ',SolverParams), &
'Stress[Stress_xx:1 Stress_yy:1 Stress_zz:1 Stress_xy:1 Stress_yz:1 Stress_xz:1]' )
END IF
CALL ListAddString( SolverParams,&
NextFreeKeyword('Exported Variable ',SolverParams), 'vonMises' )
IF (CalcPrincipalStress) THEN
CALL ListAddString( SolverParams,&
NextFreeKeyword('Exported Variable ',SolverParams), &
'Principal Stress[Principal Stress:3]' )
CALL ListAddString( SolverParams,&
NextFreeKeyword('Exported Variable ',SolverParams), &
'Tresca' )
IF (CalcPrincipalAngle) THEN
CALL ListAddString( SolverParams,&
NextFreeKeyword('Exported Variable ',SolverParams), &
'-dofs 9 Principal Angle' )
END IF
END IF
END IF
IF (CalculateStrains) THEN
IF (AxialSymmetry) THEN
CALL ListAddString( SolverParams,&
NextFreeKeyword('Exported Variable ',SolverParams), &
'Strain[Strain_xx:1 Strain_zz:1 Strain_yy:1 Strain_xy:1]' )
ELSE
CALL ListAddString( SolverParams,&
NextFreeKeyword('Exported Variable ',SolverParams), &
'Strain[Strain_xx:1 Strain_yy:1 Strain_zz:1 Strain_xy:1 Strain_yz:1 Strain_xz:1]' )
END IF
IF (CalcPrincipalStrain) THEN
CALL ListAddString( SolverParams,&
NextFreeKeyword('Exported Variable ',SolverParams), &
'Principal Strain[Principal Strain:3]' )
END IF
END IF
UseUMAT = ListGetLogical(SolverParams, 'Use UMAT', Found)
IF (UseUMAT) THEN
OutputStateVars = GetLogical(SolverParams, 'Output State Variables', Found)
IF (OutputStateVars) THEN
CALL ListAddString(SolverParams, NextFreeKeyword('Exported Variable ', SolverParams), &
'-dofs 3 -ip StateVar[D1:1 D2:1 D3:1]' )
CALL ListAddString(SolverParams, NextFreeKeyword('Exported Variable ', SolverParams), &
'-dofs 9 -ip StateDir[PDir1_x:1 PDir1_y:1 PDir1_z:1 PDir2_x:1 PDir2_y:1 PDir2_z:1 PDir3_x:1 PDir3_y:1 PDir3_z:1]')
END IF
END IF
!------------------------------------------------------------------------------
END SUBROUTINE PlasticSolver_Init
!------------------------------------------------------------------------------
!------------------------------------------------------------------------------
!> Solver for the general non-linear elasticity equations.
!> \ingroup Solvers
!------------------------------------------------------------------------------
SUBROUTINE PlasticSolver( Model, Solver, dt, TransientSimulation )
!------------------------------------------------------------------------------
USE Adaptive
USE DefUtils
USE MaterialModels
USE StressLocal
IMPLICIT NONE
!------------------------------------------------------------------------------
TYPE(Model_t) :: Model
TYPE(Solver_t), TARGET :: Solver
LOGICAL :: TransientSimulation
REAL(KIND=dp) :: dt
!------------------------------------------------------------------------------
! Local variables
!------------------------------------------------------------------------------
TYPE(Mesh_t), POINTER :: Mesh
TYPE(Matrix_t), POINTER :: StiffMatrix, PMatrix
TYPE(Solver_t), POINTER :: PSolver
TYPE(Variable_t), POINTER :: StressSol, TempSol, FlowSol, Var, StateSol, StateDir
TYPE(ValueList_t), POINTER :: SolverParams, Material, BC, Equation, BodyForce
TYPE(Nodes_t) :: ElementNodes, ParentNodes, FlowNodes
TYPE(Element_t), POINTER :: CurrentElement, ParentElement, FlowElement
TYPE(GaussIntegrationPoints_t), TARGET :: IntegStuff
LOGICAL :: GotForceBC, GotFSIBC, GotIt, NewtonLinearization = .FALSE., Isotropic = .TRUE., &
RotateModuli, LinearModel = .FALSE., MeshDisplacementActive, NeoHookeanMaterial = .FALSE., &
AxialSymmetry
LOGICAL :: UseUMAT, InitializeStateVars, OutputStateVars, HenckyStrain
LOGICAL :: LargeDeflection
LOGICAL :: MixedFormulation
LOGICAL :: PseudoTraction, GlobalPseudoTraction
LOGICAL :: PlaneStress, CalculateStrains, CalculateStresses
LOGICAL :: CalcPrincipalAngle, CalcPrincipal
LOGICAL :: CalcPrincipalStress, CalcPrincipalStrain
LOGICAL :: AllocationsDone = .FALSE.
LOGICAL :: CompressibilityDefined = .FALSE.
LOGICAL :: NormalSpring, NormalTangential
LOGICAL :: Converged, NoExternalLoads
LOGICAL :: Parallel, Scanning
INTEGER, POINTER :: TempPerm(:),StressPerm(:),PressPerm(:),NodeIndexes(:), &
Indices(:), FlowPerm(:), AdjacentNodes(:)
INTEGER :: dim,i,j,k,l,m,n,nd,nb,ntot,t,iter,NDeg,k1,k2,STDOFs,LocalNodes,istat
INTEGER :: NewtonIter, NonlinearIter, MinNonlinearIter, FlowNOFNodes
INTEGER :: CoordinateSystem
INTEGER :: NPROPS, NSTATEV, MaxIntegrationPoints = 1, N_Gauss
REAL(KIND=dp), POINTER :: Temperature(:),Pressure(:),Displacement(:), UWrk(:,:), &
Work(:,:), ForceVector(:), Velocity(:,:), FlowSolution(:), SaveValues(:), &
NodalStrain(:), NodalStress(:), VonMises(:), &
PrincipalStress(:), PrincipalStrain(:), Tresca(:), PrincipalAngle(:)
REAL(KIND=dp), POINTER :: PointwiseStateV(:,:), PointwiseStateV0(:,:), MaterialConstants(:,:)
REAL(KIND=dp), POINTER :: TotalSol(:) => NULL()
REAL(KIND=dp), POINTER CONTIG :: ValuesSaved(:) => NULL()
REAL(KIND=dp), POINTER :: Pb(:)
REAL(KIND=dp), ALLOCATABLE :: LocalMassMatrix(:,:),LocalStiffMatrix(:,:),&
LocalDampMatrix(:,:),LoadVector(:,:),InertialLoad(:,:), Viscosity(:), LocalForce(:), &
LocalTemperature(:),ElasticModulus(:,:,:),PoissonRatio(:), Density(:), &
Damping(:), HeatExpansionCoeff(:,:,:),Alpha(:,:),Beta(:), &
ReferenceTemperature(:),BoundaryDispl(:),LocalDisplacement(:,:), PrevSOL(:), &
PrevLocalDisplacement(:,:), SpringCoeff(:,:,:), LocalExternalForce(:)
REAL(KIND=dp) :: UNorm, TransformMatrix(3,3), Tdiff, Normal(3), s, UnitNorm, DragCoeff
REAL(KIND=dp) :: Norm, NonlinTol, NonlinRes0, NonlinRes
#ifdef USE_ISO_C_BINDINGS
REAL(KIND=dp) :: at,at0
#else
REAL(KIND=dp) :: at,at0,CPUTime,RealTime
#endif
CHARACTER(LEN=MAX_NAME_LEN) :: str, CompressibilityFlag
CHARACTER(LEN=MAX_NAME_LEN) :: EquationName
!------------------------------------------------------------------------------
SAVE LocalMassMatrix,LocalStiffMatrix,LocalDampMatrix,LoadVector,InertialLoad, Viscosity, &
LocalForce,ElementNodes,ParentNodes,FlowNodes,Alpha,Beta, &
LocalTemperature,AllocationsDone,ReferenceTemperature,BoundaryDispl, &
ElasticModulus, PoissonRatio,Density,Damping,HeatExpansionCoeff, &
LocalDisplacement, Velocity, Pressure, PrevSOL, CalculateStrains, CalculateStresses, &
OutputStateVars, NodalStrain, NodalStress, VonMises, PrincipalStress, PrincipalStrain, &
Tresca, PrincipalAngle, CalcPrincipalAngle, CalcPrincipal, &
PrevLocalDisplacement, SpringCoeff, Indices
SAVE NPROPS, NSTATEV, MaxIntegrationPoints, PointwiseStateV, PointwiseStateV0, &
InitializeStateVars, TotalSol, LocalExternalForce
!-----------------------------------------------------------------------------------------------------
INTERFACE
FUNCTION ElastBoundaryResidual( Model,Edge,Mesh,Quant,Perm, Gnorm ) RESULT(Indicator)
USE Types
TYPE(Element_t), POINTER :: Edge
TYPE(Model_t) :: Model
TYPE(Mesh_t), POINTER :: Mesh
REAL(KIND=dp) :: Quant(:), Indicator(2), Gnorm
INTEGER :: Perm(:)
END FUNCTION ElastBoundaryResidual
FUNCTION ElastEdgeResidual( Model,Edge,Mesh,Quant,Perm ) RESULT(Indicator)
USE Types
TYPE(Element_t), POINTER :: Edge
TYPE(Model_t) :: Model
TYPE(Mesh_t), POINTER :: Mesh
REAL(KIND=dp) :: Quant(:), Indicator(2)
INTEGER :: Perm(:)
END FUNCTION ElastEdgeResidual
FUNCTION ElastInsideResidual( Model,Element,Mesh,Quant,Perm, Fnorm ) RESULT(Indicator)
USE Types
TYPE(Element_t), POINTER :: Element
TYPE(Model_t) :: Model
TYPE(Mesh_t), POINTER :: Mesh
REAL(KIND=dp) :: Quant(:), Indicator(2), Fnorm
INTEGER :: Perm(:)
END FUNCTION ElastInsideResidual
END INTERFACE
!------------------------------------------------------------------------------
! Get variables needed for solution
!------------------------------------------------------------------------------
CALL Info( 'PlasticSolve', 'Starting Solver', Level=10 )
IF ( .NOT. ASSOCIATED( Solver % Matrix ) ) RETURN
SolverParams => GetSolverParams()
Mesh => GetMesh()
dim = CoordinateSystemDimension()
CoordinateSystem = CurrentCoordinateSystem()
AxialSymmetry = CoordinateSystem == AxisSymmetric
Parallel = ParEnv % PEs > 1
Scanning = ListGetString(Model % Simulation, 'Simulation Type', GotIt) == 'scanning'
StressSol => Solver % Variable
StressPerm => StressSol % Perm
STDOFs = StressSol % DOFs
Displacement => StressSol % Values
StiffMatrix => Solver % Matrix
ForceVector => StiffMatrix % RHS
LocalNodes = COUNT( StressPerm > 0 )
IF ( LocalNodes <= 0 ) RETURN
TempSol => VariableGet( Mesh % Variables, 'Temperature' )
IF ( ASSOCIATED( TempSol) ) THEN
TempPerm => TempSol % Perm
Temperature => TempSol % Values
END IF
FlowSol => VariableGet( Mesh % Variables, 'Flow Solution' )
IF ( ASSOCIATED( FlowSol) ) THEN
FlowPerm => FlowSol % Perm
k = SIZE( FlowSol % Values )
FlowSolution => FlowSol % Values
END IF
MeshDisplacementActive = ListGetLogical( SolverParams, &
'Displace Mesh', GotIt )
IF ( .NOT. GotIt ) MeshDisplacementActive = .TRUE.
IF ( AllocationsDone .AND. MeshDisplacementActive ) THEN
CALL DisplaceMesh( Mesh, Displacement, -1, StressPerm, STDOFs, UpdateDirs=dim )
END IF
!-------------------------------------------------------------------------
! Check how material behaviour is defined:
!-------------------------------------------------------------------------
UseUMAT = ListGetLogical( SolverParams, 'Use UMAT', GotIt )
! IF (UseUMAT .AND. TransientSimulation) CALL Fatal('PlasticSolve', &
! 'UMAT version does not yet support transient simulation')
NeoHookeanMaterial = ListGetLogical( SolverParams, 'Neo-Hookean Material', GotIt )
IF (NeoHookeanMaterial) Isotropic = .TRUE.
MixedFormulation = NeoHookeanMaterial .AND. &
ListGetLogical( SolverParams, 'Mixed Formulation', GotIt )
IF (MixedFormulation .AND. (STDOFs /= (dim + 1))) CALL Fatal('PlasticSolve', &
'With mixed formulation variable DOFs should equal to space dimensions + 1')
!------------------------------------------------------------------------------
! Allocate some permanent storage, this is done first time only
!------------------------------------------------------------------------------
IF ( .NOT. AllocationsDone .OR. Mesh % Changed ) THEN
N = Mesh % MaxElementDOFs
IF ( AllocationsDone ) THEN
DEALLOCATE( &
BoundaryDispl, &
ReferenceTemperature, &
HeatExpansionCoeff, &
LocalTemperature, &
Pressure, Velocity, &
ElasticModulus, PoissonRatio, &
Density, Damping, &
LocalForce, LocalExternalForce, Viscosity, &
LocalMassMatrix, &
LocalStiffMatrix, &
LocalDampMatrix, &
LoadVector, InertialLoad, Alpha, Beta, &
LocalDisplacement, &
PrevLocalDisplacement, &
SpringCoeff, &
Indices)
END IF
ALLOCATE( &
BoundaryDispl( N ), &
ReferenceTemperature( N ), &
HeatExpansionCoeff( 3,3,N ), &
LocalTemperature( N ), &
Pressure( N ), Velocity( 3,N ), &
ElasticModulus( 6,6,N ), PoissonRatio( N ), &
Density( N ), Damping( N ), &
LocalForce( STDOFs*N ), LocalExternalForce( STDOFs*N ), Viscosity( N ), &
LocalMassMatrix( STDOFs*N,STDOFs*N ), &
LocalStiffMatrix( STDOFs*N,STDOFs*N ), &
LocalDampMatrix( STDOFs*N,STDOFs*N ), &
LoadVector( 4,N ), InertialLoad(3,N), Alpha( 3,N ), Beta( N ), &
LocalDisplacement( 4,N ), &
PrevLocalDisplacement( 4,N ), &
SpringCoeff( N,3,3 ), &
Indices(N), &
STAT=istat )
IF ( istat /= 0 ) THEN
CALL Fatal( 'PlasticSolve', 'Memory allocation error.' )
END IF
IF (UseUMAT .AND. (.NOT. AllocationsDone) ) THEN
!------------------------------------------------------------------------------
! The UMAT description of the material behavior may depend on a list of state
! variables that depend on the material point. This description is produced
! at each integration point. The following is used for finding the right size
! of an array holding this information and allocating the array.
! TO DO: Take into account the possibility Mesh % Changed = .TRUE.
!------------------------------------------------------------------------------
M = GetNOFActive()
DO t=1,M
CurrentElement => GetActiveElement(t)
Material => GetMaterial()
NPROPS = GetInteger( Material, 'Number of Material Constants', GotIt)
IF (.NOT. GotIt) CALL Fatal('PlasticSolve', &
'Number of Material Constants for UMAT must be specified')
NSTATEV = GetInteger( Material, 'Number of State Variables', GotIt)
IF (.NOT. GotIt) CALL Fatal('PlasticSolve', &
'Number of Material Constants for UMAT must be specified')
IntegStuff = GaussPoints( CurrentElement )
MaxIntegrationPoints = MAX( IntegStuff % n, MaxIntegrationPoints )
END DO
! ---------------------------------------------------------------------
! PointwiseStateV is now allocated for keeping the state variables as
! they evolve during the nonlinear iteration to obtain the solution
! at the new time level m+1. Allocation is done for the given number
! of state variables + 9 additional variables which are three energy
! variables and six stress components:
! ---------------------------------------------------------------------
CALL AllocateArray(PointwiseStateV, M * MaxIntegrationPoints, NSTATEV+9)
PointwiseStateV = 0.0d0
! ----------------------------------------------------------------------
! We also create a similar variable PointwiseStateV0 which keeps the
! the state variables that describe the material state corresponding to
! the converged solution at the previous time level m. The right values
! of the state variables corresponding to the initial state can be found
! by making an extra UMAT call. Whether this call is needed is indicated
! by the last extra entry: a value < 0 means that the state variables have
! not yet been initiated by the extra call.
! ----------------------------------------------------------------------
CALL AllocateArray(PointwiseStateV0, M * MaxIntegrationPoints, NSTATEV+10)
PointwiseStateV0 = 0.0d0
PointwiseStateV0(:,NSTATEV+10) = -1.0d0
InitializeStateVars = GetLogical(SolverParams, 'Initialize State Variables', &
GotIt)
END IF
!----------------------------------------------------------------
! Check whether strains and stresses are computed...
!----------------------------------------------------------------
CalculateStrains = GetLogical(SolverParams, 'Calculate Strains', GotIt )
CalculateStresses = GetLogical(SolverParams, 'Calculate Stresses', GotIt )
IF (UseUMAT) THEN
OutputStateVars = GetLogical(SolverParams, 'Output State Variables', GotIt)
! Principal tensors are not yet available:
CalcPrincipal = .FALSE.
CalcPrincipalAngle = .FALSE.
ELSE
OutputStateVars = .FALSE.
CalcPrincipal = GetLogical(SolverParams, 'Calculate Principal', GotIt )
CalcPrincipalAngle = GetLogical(SolverParams, 'Calculate PAngle', GotIt )
! Principal angle computation enforces component calculation:
IF (CalcPrincipalAngle) CalcPrincipal = .TRUE.
END IF
AllocationsDone = .TRUE.
END IF
!---------------------------------------------------------------------------------------------------
! Set pointers to the variables containing the stress and strain fields:
!--------------------------------------------------------------------------------------------------
CalcPrincipalStress = CalculateStresses .AND. CalcPrincipal
CalcPrincipalStrain = CalculateStrains .AND. CalcPrincipal
IF ( CalculateStresses ) THEN
Var => VariableGet( Mesh % Variables, 'Stress', .TRUE. )
IF ( ASSOCIATED( Var ) ) THEN
StressPerm => Var % Perm
NodalStress => Var % Values
ELSE
CALL Fatal('PlasticSolver','Variable > Stress < does not exits!')
END IF
Var => VariableGet( Mesh % Variables, 'VonMises',.TRUE. )
IF ( ASSOCIATED( Var ) ) THEN
VonMises => Var % Values
ELSE
CALL Fatal('PlasticSolver','Variable > vonMises < does not exits!')
END IF
IF (CalcPrincipalStress) THEN
Var => VariableGet( Mesh % Variables, 'Principal Stress',.TRUE. )
IF ( ASSOCIATED( Var ) ) THEN
PrincipalStress => Var % Values
ELSE
CALL Fatal('PlasticSolver','Variable > Principal Stress < does not exits!')
END IF
Var => VariableGet( Mesh % Variables, 'Tresca',.TRUE. )
IF ( ASSOCIATED( Var ) ) THEN
Tresca => Var % Values
ELSE
CALL Fatal('PlasticSolver','Variable > Tresca < does not exits!')
END IF
IF (CalcPrincipalAngle) THEN
Var => VariableGet( Mesh % Variables, 'Principal Angle' )
IF ( ASSOCIATED( Var ) ) THEN
PrincipalAngle => Var % Values
ELSE
CALL Fatal('PlasticSolver','Variable > Principal Angle < does not exits!')
END IF
END IF
END IF
END IF
IF (CalculateStrains) THEN
Var => VariableGet( Mesh % Variables, 'Strain' )
IF ( ASSOCIATED( Var ) ) THEN
NodalStrain => Var % Values
ELSE
CALL Fatal('PlasticSolver','Variable > Strain < does not exits!')
END IF
IF (CalcPrincipalStrain) THEN
Var => VariableGet( Mesh % Variables, 'Principal Strain' )
IF ( ASSOCIATED( Var ) ) THEN
PrincipalStrain => Var % Values
ELSE
CALL Fatal('PlasticSolver','Variable > Principal Strain < does not exits!')
END IF
END IF
END IF
IF (UseUMAT .AND. OutputStateVars) THEN
StateSol => VariableGet(Mesh % Variables, 'StateVar')
IF ( .NOT. ASSOCIATED(StateSol) ) THEN
CALL Fatal('PlasticSolver','Variable > StateVar < does not exits!')
END IF
StateDir => VariableGet(Mesh % Variables, 'StateDir')
IF ( .NOT. ASSOCIATED(StateDir) ) THEN
CALL Fatal('PlasticSolver','Variable > StateDir < does not exits!')
END IF
END IF
ALLOCATE( PrevSOL(SIZE(Displacement)) )
PrevSOL = Displacement
IF (UseUMAT) THEN
IF (.NOT. ASSOCIATED(StiffMatrix % BulkRHS)) &
ALLOCATE(StiffMatrix % BulkRHS(SIZE(StiffMatrix % RHS)))
StiffMatrix % BulkRHS = 0.0d0
IF (.NOT. ASSOCIATED(TotalSol)) ALLOCATE( TotalSol(SIZE(Displacement)) )
IF (Scanning .AND. .NOT. ASSOCIATED( StressSol % PrevValues )) THEN
ALLOCATE(StressSol % PrevValues(SIZE(Displacement), 1))
StressSol % PrevValues = 0.0d0
END IF
CALL ListAddLogical(SolverParams, 'Skip Compute Nonlinear Change', .TRUE.)
HenckyStrain = ListGetLogical(SolverParams, 'Use Hencky strain', GotIt)
END IF
!------------------------------------------------------------------------------
! Do some additional initialization, and go for it
!------------------------------------------------------------------------------
NonlinearIter = ListGetInteger( SolverParams, &
'Nonlinear System Max Iterations', GotIt )
IF ( .NOT. GotIt ) NonlinearIter = 1
NonlinTol = GetConstReal(SolverParams, 'Nonlinear System Convergence Tolerance')
MinNonlinearIter = ListGetInteger( SolverParams, &
'Nonlinear System Min Iterations', GotIt )
LinearModel = ListGetLogical( SolverParams, &
'Elasticity Solver Linear', GotIt )
LargeDeflection = ListGetLogical(SolverParams, 'Large Deflection', GotIt)
IF (.NOT. GotIt) LargeDeflection = .TRUE.
IF (.NOT. LargeDeflection) HenckyStrain = .FALSE.
GlobalPseudoTraction = GetLogical( SolverParams, 'Pseudo-Traction', GotIt)
CALL DefaultStart()
DO iter=1,NonlinearIter
at = CPUTime()
at0 = RealTime()
CALL Info( 'PlasticSolve', ' ', Level=4 )
CALL Info( 'PlasticSolve', ' ', Level=4 )
CALL Info( 'PlasticSolve', &
'-------------------------------------', Level=4 )
WRITE( Message, * ) 'PLASTICITY ITERATION ', iter
CALL Info( 'PlasticSolve', Message, Level=4 )
CALL Info( 'PlasticSolve', &
'-------------------------------------', Level=4 )
CALL Info( 'PlasticSolve', ' ', Level=4 )
CALL Info( 'PlasticSolve', 'Starting assembly...', Level=4 )
IF (UseUMAT) TotalSol(:) = Displacement(:)
!------------------------------------------------------------------------------
100 CALL DefaultInitialize()
!------------------------------------------------------------------------------
DO t=1,GetNOFActive()
IF ( RealTime() - at0 > 1.0 ) THEN
WRITE(Message,'(a,i3,a)' ) ' Assembly: ', INT(100.0 - 100.0 * &
(Solver % NumberOfActiveElements-t) / &
(1.0*Solver % NumberOfActiveElements)), ' % done'
CALL Info( 'PlasticSolve', Message, Level=5 )
at0 = RealTime()
END IF
CurrentElement => GetActiveElement(t)
CALL GetElementNodes(ElementNodes, CurrentElement)
NodeIndexes => CurrentElement % NodeIndexes
n = GetElementNOFNodes()
nd = GetElementDOFs( Indices )
nb = GetElementNOFBDOFs()
ntot = nd + nb
!-----------------------------------------------------------------------------------
! Get the material parameters relating to the constitutive law:
!------------------------------------------------------------------------------------
Equation => GetEquation()
Material => GetMaterial()
PlaneStress = GetLogical( Equation, 'Plane Stress', GotIt )
PoissonRatio = 0.0d0
IF (UseUMAT) THEN
CALL GetConstRealArray( Material, MaterialConstants, 'Material Constants', GotIt)
IF ( SIZE(MaterialConstants,1) /= NPROPS) &
CALL Fatal('PlasticSolve','Check the size of Material Constants array')
ELSE
IF (NeoHookeanMaterial) THEN
ElasticModulus(1,1,1:n) = ListGetReal( Material, &
'Youngs Modulus', n, NodeIndexes, GotIt )
ELSE
CALL InputTensor( ElasticModulus, Isotropic, &
'Youngs Modulus', Material, n, NodeIndexes )
!------------------------------------------------------------------------------
! Check whether the rotation transformation of elastic modulus is necessary...
!------------------------------------------------------------------------------
RotateModuli = GetLogical( Material, 'Rotate Elasticity Tensor', GotIt )
IF ( RotateModuli ) THEN
DO i=1,3
RotateModuli = .FALSE.
IF( i == 1 ) THEN
CALL GetConstRealArray( Material, UWrk, &
'Material Coordinates Unit Vector 1', GotIt, CurrentElement )
ELSE IF( i == 2 ) THEN
CALL GetConstRealArray( Material, UWrk, &
'Material Coordinates Unit Vector 2', GotIt, CurrentElement )
ELSE
CALL GetConstRealArray( Material, UWrk, &
'Material Coordinates Unit Vector 3', GotIt, CurrentElement )
END IF
IF( GotIt ) THEN
UnitNorm = SQRT( SUM( Uwrk(1:3,1)**2 ) )
IF( UnitNorm < EPSILON( UnitNorm ) ) THEN
CALL Fatal('PlasticSolve','Given > Material Coordinate Unit Vector < too short!')
END IF
TransformMatrix(i,1:3) = Uwrk(1:3,1) / UnitNorm
RotateModuli = .TRUE.
END IF
IF( .NOT. RotateModuli ) CALL Fatal( 'PlasticSolve', &
'No unit vectors found but > Rotate Elasticity Tensor < set True?' )
END DO
END IF
END IF
IF (Isotropic) PoissonRatio(1:n) = GetReal( Material, 'Poisson Ratio' )
END IF
HeatExpansionCoeff = 0.0D0
DO i=1,3
HeatExpansionCoeff(i,i,1:n) = GetReal( Material,'Heat Expansion Coefficient', GotIt )
END DO
ReferenceTemperature(1:n) = GetReal( Material, 'Reference Temperature', GotIt )
Density(1:n) = GetReal( Material, 'Density', GotIt )
Damping(1:n) = GetReal( Material, 'Damping' ,GotIt )
!------------------------------------------------------------------------------
! Set body forces
!------------------------------------------------------------------------------
BodyForce => GetBodyForce()
LoadVector = 0.0D0
InertialLoad = 0.0D0
IF ( ASSOCIATED(BodyForce) ) THEN
LoadVector(1,1:n) = GetReal( BodyForce, 'Stress Bodyforce 1', GotIt )
LoadVector(2,1:n) = GetReal( BodyForce, 'Stress Bodyforce 2', GotIt )
IF ( dim > 2 ) THEN
LoadVector(3,1:n) = GetReal( BodyForce, 'Stress Bodyforce 3', GotIt )
END IF
InertialLoad(1,1:n) = GetReal( BodyForce, 'Inertial Bodyforce 1', GotIt )
InertialLoad(2,1:n) = GetReal( BodyForce, 'Inertial Bodyforce 2', GotIt )
IF ( dim > 2 ) THEN
InertialLoad(3,1:n) = GetReal( BodyForce, 'Inertial Bodyforce 3', GotIt )
END IF
END IF
!------------------------------------------------------------------------------
! Get values of field variables:
!------------------------------------------------------------------------------
LocalTemperature = 0.0D0
IF (UseUMAT) THEN
IF ( ASSOCIATED(TempSol) ) THEN
DO i=1,n
k = TempPerm(NodeIndexes(i))
LocalTemperature(i) = Temperature(k)
END DO
ELSE
DO i=1,n
LocalTemperature(i) = ReferenceTemperature(i)
END DO
END IF
ELSE
IF ( ASSOCIATED(TempSol) ) THEN
DO i=1,n
k = TempPerm(NodeIndexes(i))
LocalTemperature(i) = Temperature(k) - ReferenceTemperature(i)
END DO
END IF
END IF
LocalDisplacement = 0.0D0
DO i=1,nd
k = StressPerm(Indices(i))
DO j=1,STDOFs
LocalDisplacement(j,i) = Displacement(STDOFs*(k-1)+j)
END DO
END DO
! ----------------------------------------------------------------
! Some material models may need the displacement field at the
! previous time/load step
! ----------------------------------------------------------------
PrevLocalDisplacement = 0.0D0
IF (UseUMAT) THEN
IF (TransientSimulation) THEN
DO i=1,nd
k = StressPerm(Indices(i))
DO j=1,STDOFs
PrevLocalDisplacement(j,i) = Solver % Variable % PrevValues(STDOFs*(k-1)+j,3)
END DO
END DO
ELSE
IF (Scanning) THEN
DO i=1,nd
k = StressPerm(Indices(i))
DO j=1,STDOFs
PrevLocalDisplacement(j,i) = Solver % Variable % PrevValues(STDOFs*(k-1)+j,1)
END DO
END DO
END IF
END IF
END IF
IF ( LinearModel ) LocalDisplacement = 0.0d0
!-------------------------------------------------------------------------------------------
! Select subroutine to integrate the element matrix and vector
!-------------------------------------------------------------------------------------------
IF ( CoordinateSystem == Cartesian .OR. AxialSymmetry) THEN
IF (UseUMAT) THEN
! ------------------------------------------------------------------------------
! This branch assumes that the material behavior is defined
! via an umat subroutine. The umat routine should specify
! a material response function which gives the Cauchy stress
! as a function of the strain tensor and state variables.
!-------------------------------------------------------------------------------
CALL LocalMatrixWithUMAT(LocalMassMatrix, LocalDampMatrix, &
LocalStiffMatrix, LocalForce, LocalExternalForce, dt, LoadVector, InertialLoad, &
MaterialConstants, NPROPS, PointwiseStateV, PointwiseStateV0, NSTATEV, &
MaxIntegrationPoints, InitializeStateVars, Density, Damping, AxialSymmetry, &
PlaneStress, LargeDeflection, HenckyStrain, CurrentElement, n, nd, ntot, STDOFs, &
ElementNodes, LocalDisplacement, PrevLocalDisplacement, LocalTemperature, &
t, Iter)
!CALL Fatal( 'PlasticSolve', 'This version does not offer an umat interface' )
! ---------------------------------------------------------------------------
! Create a RHS vector which contains just the contribution of external loads
! for the purpose of nonlinear error estimation:
! ---------------------------------------------------------------------------
IF (Iter == 1) THEN
ValuesSaved => StiffMatrix % RHS
StiffMatrix % RHS => StiffMatrix % BulkRHS
CALL DefaultUpdateForce(LocalExternalForce)
Solver % Matrix % RHS => ValuesSaved
END IF
ELSE
!-------------------------------------------------------
! The following are used for handling cases where
! the material response function gives the second
! Piola-Kirchhoff stress
!--------------------------------------------------------
IF (NeoHookeanMaterial) THEN
CALL NeoHookeanLocalMatrix( LocalMassMatrix, LocalDampMatrix, &
LocalStiffMatrix, LocalForce, LoadVector, InertialLoad, ElasticModulus, &
PoissonRatio,Density,Damping,AxialSymmetry,PlaneStress,HeatExpansionCoeff, &
LocalTemperature,CurrentElement,n,ntot,ElementNodes,LocalDisplacement, &
MixedFormulation)
ELSE
CALL LocalMatrix( LocalMassMatrix, LocalDampMatrix, &
LocalStiffMatrix,LocalForce, LoadVector, InertialLoad, ElasticModulus, &
PoissonRatio,Density,Damping,AxialSymmetry,PlaneStress,HeatExpansionCoeff, &
LocalTemperature,CurrentElement,n,ntot,ElementNodes,LocalDisplacement, &
Isotropic, RotateModuli, TransformMatrix)
END IF
END IF
ELSE
CALL Fatal('PlasticSolve', 'Unsupported coordinate system')
END IF
!------------------------------------------------------------------------------
! If time dependent simulation, add mass matrix to global
! matrix and global RHS vector
!------------------------------------------------------------------------------
IF ( TransientSimulation ) THEN
CALL Default2ndOrderTime( LocalMassMatrix, LocalDampMatrix, &
LocalStiffMatrix, LocalForce )
END IF
!------------------------------------------------------------------------------
! Update global matrices from local matrices
!------------------------------------------------------------------------------
CALL DefaultUpdateEquations( LocalStiffMatrix, LocalForce )
!------------------------------------------------------------------------------
END DO
CALL DefaultFinishBulkAssembly()
!------------------------------------------------------------------------------
! Neumann & Newton boundary conditions
!------------------------------------------------------------------------------
DO t = 1,GetNOFBoundaryElements()
CurrentElement => GetBoundaryElement(t)
IF ( CurrentElement % TYPE % ElementCode == 101 ) CYCLE
IF (.NOT. ActiveBoundaryElement()) CYCLE
n = GetElementNOFNodes()
ntot = GetElementNOFDOFs()
BC => GetBC()
IF ( ASSOCIATED( BC ) ) THEN
LoadVector = 0.0D0
Alpha = 0.0D0
Beta = 0.0D0
SpringCoeff = 0.0d0
!------------------------------------------------------------------------------
! The components of surface forces
!------------------------------------------------------------------------------
GotForceBC = .FALSE.
LoadVector(1,1:n) = GetReal( BC, 'Surface Traction 1', GotIt )
IF (.NOT. GotIt) LoadVector(1,1:n) = GetReal( BC, 'Force 1', GotIt )
GotForceBC = GotForceBC .OR. GotIt
LoadVector(2,1:n) = GetReal( BC, 'Surface Traction 2', GotIt )
IF (.NOT. GotIt) LoadVector(2,1:n) = GetReal( BC, 'Force 2', GotIt )
GotForceBC = GotForceBC .OR. GotIt
LoadVector(3,1:n) = GetReal( BC, 'Surface Traction 3', GotIt )
IF (.NOT. GotIt) LoadVector(3,1:n) = GetReal( BC, 'Force 3', GotIt )
GotForceBC = GotForceBC .OR. GotIt
Beta(1:n) = GetReal( BC, 'Normal Surface Traction', GotIt )
IF (.NOT. GotIt) Beta(1:n) = GetReal( BC, 'Normal Force', gotIt )
GotForceBC = GotForceBC .OR. GotIt
GotForceBC = GotForceBC .OR. GetLogical( BC, 'Force BC', GotIt )
SpringCoeff(1:n,1,1) = GetReal( BC, 'Spring', NormalSpring )
IF ( .NOT. NormalSpring ) THEN
DO i=1,dim
SpringCoeff(1:n,i,i) = GetReal( BC, ComponentName('Spring',i), GotIt)
END DO
DO i=1,dim
DO j=1,dim
IF (ListCheckPresent(BC,'Spring '//TRIM(i2s(i))//i2s(j) )) &
SpringCoeff(1:n,i,j)=GetReal( BC, 'Spring '//TRIM(i2s(i))//i2s(j), GotIt)
END DO
END DO
END IF
GotFSIBC = GetLogical( BC, 'FSI BC', GotIt )
IF(.NOT. GotIt ) GotFSIBc = ASSOCIATED( FlowSol )
IF ( .NOT. GotForceBC .AND. .NOT. GotFSIBC .AND. ALL( SpringCoeff==0.0d0 ) ) CYCLE
PseudoTraction = GetLogical( BC, 'Pseudo-Traction', GotIt)
IF(.NOT. GotIt ) PseudoTraction = GlobalPseudoTraction
!------------------------------------------------------------------------------
ParentElement => CurrentElement % BoundaryInfo % Left
IF ( .NOT. ASSOCIATED( ParentElement ) ) THEN
ParentElement => CurrentElement % BoundaryInfo % Right
ELSE
IF ( ANY(StressPerm(ParentElement % NodeIndexes)==0 )) &
ParentElement => CurrentElement % BoundaryInfo % Right
END IF
nd = GetElementDOFs(Indices, ParentElement)
CALL GetElementNodes( ParentNodes, ParentElement )
LocalDisplacement = 0.0D0
IF( .NOT. LinearModel ) THEN
DO l=1,nd
k = StressPerm(Indices(l))
DO j=1,STDOFs
LocalDisplacement(j,l) = Displacement(STDOFs*(k-1)+j)
END DO
END DO
END IF
NULLIFY( FlowElement )
FlowNOFNodes = 1
! Note: Here the flow solution is not interpolated using the full p-basis
IF ( GotFSIBC ) THEN
FlowElement => CurrentElement % BoundaryInfo % Left
IF ( .NOT. ASSOCIATED(FlowElement) ) THEN
FlowElement => CurrentElement % BoundaryInfo % Right
ELSE
IF ( ANY(FlowPerm(FlowElement % NodeIndexes)==0 )) THEN
FlowElement => CurrentElement % BoundaryInfo % Right
END IF
END IF
IF ( ASSOCIATED(FlowElement) ) THEN
FlowNOFNodes = 0
FlowNOFNodes = FlowElement % TYPE % NumberOfNodes
AdjacentNodes => FlowElement % NodeIndexes
CALL GetElementNodes( FlowNodes, FlowElement )
DO j=1,FlowNOFNodes
k = StressPerm(AdjacentNodes(j))
IF ( k /= 0 ) THEN
k = STDOFs*(k-1)
FlowNodes % x(j) = FlowNodes % x(j) + PrevSOL( k+1 )
IF ( STDOFs > 1 ) &
FlowNodes % y(j) = FlowNodes % y(j) + PrevSOL( k+2 )
IF ( STDOFs > 2 ) &
FlowNodes % z(j) = FlowNodes % z(j) + PrevSOL( k+3 )
END IF
END DO
Velocity = 0.0D0
DO l=1,FlowNOFNodes
k = FlowPerm(AdjacentNodes(l))
DO j=1,FlowSol % DOFs-1
Velocity(j,l) = FlowSolution(FlowSol % DOFs*(k-1)+j)
END DO
Pressure(l) = FlowSolution(FlowSol % DOFs*k)