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linear_elasticity_routines.f90
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linear_elasticity_routines.f90
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!> \file
!> \author Chris Bradley
!> \brief This module handles all linear elasticity routines.
!>
!> \section LICENSE
!>
!> Version: MPL 1.1/GPL 2.0/LGPL 2.1
!>
!> The contents of this file are subject to the Mozilla Public License
!> Version 1.1 (the "License"); you may not use this file except in
!> compliance with the License. You may obtain a copy of the License at
!> http://www.mozilla.org/MPL/
!>
!> Software distributed under the License is distributed on an "AS IS"
!> basis, WITHOUT WARRANTY OF ANY KIND, either express or implied. See the
!> License for the specific language governing rights and limitations
!> under the License.
!>
!> The Original Code is OpenCMISS
!>
!> The Initial Developer of the Original Code is University of Auckland,
!> Auckland, New Zealand, the University of Oxford, Oxford, United
!> Kingdom and King's College, London, United Kingdom. Portions created
!> by the University of Auckland, the University of Oxford and King's
!> College, London are Copyright (C) 2007-2010 by the University of
!> Auckland, the University of Oxford and King's College, London.
!> All Rights Reserved.
!>
!> Contributor(s):
!>
!> Alternatively, the contents of this file may be used under the terms of
!> either the GNU General Public License Version 2 or later (the "GPL"), or
!> the GNU Lesser General Public License Version 2.1 or later (the "LGPL"),
!> in which case the provisions of the GPL or the LGPL are applicable instead
!> of those above. If you wish to allow use of your version of this file only
!> under the terms of either the GPL or the LGPL, and not to allow others to
!> use your version of this file under the terms of the MPL, indicate your
!> decision by deleting the provisions above and replace them with the notice
!> and other provisions required by the GPL or the LGPL. If you do not delete
!> the provisions above, a recipient may use your version of this file under
!> the terms of any one of the MPL, the GPL or the LGPL.
!>
!>This module handles all linear elasticity routines.
MODULE LINEAR_ELASTICITY_ROUTINES
USE BaseRoutines
USE BasisRoutines
USE BasisAccessRoutines
USE BOUNDARY_CONDITIONS_ROUTINES
USE CONSTANTS
USE CONTROL_LOOP_ROUTINES
USE ControlLoopAccessRoutines
USE DistributedMatrixVector
USE DOMAIN_MAPPINGS
USE EquationsRoutines
USE EquationsAccessRoutines
USE EquationsMappingRoutines
USE EquationsMatricesRoutines
USE EquationsSetConstants
USE EquationsSetAccessRoutines
USE FIELD_ROUTINES
USE FieldAccessRoutines
USE INPUT_OUTPUT
USE ISO_VARYING_STRING
USE Kinds
USE Maths
USE MatrixVector
USE PROBLEM_CONSTANTS
USE Strings
USE SOLVER_ROUTINES
USE SolverAccessRoutines
USE Timer
USE Types
#include "macros.h"
IMPLICIT NONE
PRIVATE
!Module parameters
!Module types
!Module variables
!Interfaces
PUBLIC LINEAR_ELASTICITY_FINITE_ELEMENT_CALCULATE
PUBLIC LINEAR_ELASTICITY_EQUATIONS_SET_SETUP
PUBLIC LinearElasticity_EquationsSetSolutionMethodSet
PUBLIC LinearElasticity_BoundaryConditionsAnalyticCalculate
PUBLIC LinearElasticity_EquationsSetSpecificationSet
PUBLIC LinearElasticity_ProblemSpecificationSet
PUBLIC LINEAR_ELASTICITY_PROBLEM_SETUP
CONTAINS
!
!================================================================================================================================
!
!>Calculates the analytic solution and sets the boundary conditions for an analytic problem.
SUBROUTINE LinearElasticity_BoundaryConditionsAnalyticCalculate(EQUATIONS_SET,BOUNDARY_CONDITIONS,err,error,*)
!Argument variables
TYPE(EQUATIONS_SET_TYPE), POINTER :: EQUATIONS_SET
TYPE(BOUNDARY_CONDITIONS_TYPE), POINTER :: BOUNDARY_CONDITIONS
INTEGER(INTG), INTENT(OUT) :: ERR !<The error code
TYPE(VARYING_STRING), INTENT(OUT) :: ERROR !<The error string
!Local Variables
INTEGER(INTG) :: component_idx,deriv_idx,dim_idx,local_ny,node_idx,NUMBER_OF_DIMENSIONS,variable_idx,variable_type
INTEGER(INTG) :: BC_X_FORCE_counter,BC_X_counter,BC_Y_counter,BC_X_Nodes,BC_Z_Nodes
REAL(DP) :: ANALYTIC_VALUE,BC_VALUE,X(3),GEOMETRIC_TOL,FORCE_X,FORCE_Y,FORCE_Y_AREA,LENGTH,WIDTH,HEIGHT,E,v_X,FORCE_X_AREA
REAL(DP) :: FORCE_Z,Iyy
REAL(DP), POINTER :: GEOMETRIC_PARAMETERS(:)
LOGICAL :: SET_BC
TYPE(DOMAIN_TYPE), POINTER :: DOMAIN
TYPE(DOMAIN_NODES_TYPE), POINTER :: DOMAIN_NODES
TYPE(FIELD_TYPE), POINTER :: DEPENDENT_FIELD,geometricField
TYPE(FIELD_VARIABLE_TYPE), POINTER :: FIELD_VARIABLE,GEOMETRIC_VARIABLE
TYPE(VARYING_STRING) :: localError
ENTERS("LinearElasticity_BoundaryConditionsAnalyticCalculate",err,error,*999)
GEOMETRIC_TOL=1.0E-6_DP
!!TODO: Use Geometric/Material Field values to prescribe values in analytic solution, currently hardcodded geometry & material properties
IF(ASSOCIATED(EQUATIONS_SET)) THEN
IF(ASSOCIATED(EQUATIONS_SET%ANALYTIC)) THEN
DEPENDENT_FIELD=>EQUATIONS_SET%DEPENDENT%DEPENDENT_FIELD
IF(ASSOCIATED(DEPENDENT_FIELD)) THEN
geometricField=>EQUATIONS_SET%GEOMETRY%GEOMETRIC_FIELD
IF(ASSOCIATED(geometricField)) THEN
CALL FIELD_NUMBER_OF_COMPONENTS_GET(geometricField,FIELD_U_VARIABLE_TYPE,NUMBER_OF_DIMENSIONS,err,error,*999)
NULLIFY(GEOMETRIC_VARIABLE)
CALL Field_VariableGet(geometricField,FIELD_U_VARIABLE_TYPE,GEOMETRIC_VARIABLE,err,error,*999)
NULLIFY(GEOMETRIC_PARAMETERS)
CALL FIELD_PARAMETER_SET_DATA_GET(geometricField,FIELD_U_VARIABLE_TYPE,FIELD_VALUES_SET_TYPE,GEOMETRIC_PARAMETERS, &
& err,error,*999)
!
! IDENTIFY BOUNDARY CONDITION NODES
!
BC_X_Nodes = 0
BC_Z_Nodes = 0
BC_X_counter = 0
BC_Y_counter = 0
BC_X_FORCE_counter = 0
DO variable_idx=1,DEPENDENT_FIELD%NUMBER_OF_VARIABLES
variable_type=DEPENDENT_FIELD%VARIABLES(variable_idx)%VARIABLE_TYPE
FIELD_VARIABLE=>DEPENDENT_FIELD%VARIABLE_TYPE_MAP(variable_type)%ptr
IF(ASSOCIATED(FIELD_VARIABLE)) THEN
DO component_idx=1,FIELD_VARIABLE%NUMBER_OF_COMPONENTS
IF(FIELD_VARIABLE%COMPONENTS(component_idx)%INTERPOLATION_TYPE==FIELD_NODE_BASED_INTERPOLATION) THEN
DOMAIN=>FIELD_VARIABLE%COMPONENTS(component_idx)%DOMAIN
IF(ASSOCIATED(DOMAIN)) THEN
IF(ASSOCIATED(DOMAIN%TOPOLOGY)) THEN
DOMAIN_NODES=>DOMAIN%TOPOLOGY%NODES
IF(ASSOCIATED(DOMAIN_NODES)) THEN
!Loop over the local nodes excluding the ghosts.
DO node_idx=1,DOMAIN_NODES%NUMBER_OF_NODES
!!TODO \todo We should interpolate the geometric field here and the node position.
DO dim_idx=1,NUMBER_OF_DIMENSIONS
!Default to version 1 of each node derivative
local_ny=GEOMETRIC_VARIABLE%COMPONENTS(dim_idx)%PARAM_TO_DOF_MAP%NODE_PARAM2DOF_MAP% &
& NODES(node_idx)%DERIVATIVES(1)%VERSIONS(1)
X(dim_idx)=GEOMETRIC_PARAMETERS(local_ny)
ENDDO !dim_idx
!Loop over the derivatives
DO deriv_idx=1,DOMAIN_NODES%NODES(node_idx)%NUMBER_OF_DERIVATIVES
SET_BC = .FALSE.
SELECT CASE(EQUATIONS_SET%ANALYTIC%ANALYTIC_FUNCTION_TYPE)
!
! ONE DIMENSIONAL LINEAR ELASTICITY
!
CASE(EQUATIONS_SET_LINEAR_ELASTICITY_ONE_DIM_1)
SELECT CASE(variable_type)
CASE(FIELD_U_VARIABLE_TYPE)
SELECT CASE(DOMAIN_NODES%NODES(node_idx)%DERIVATIVES(deriv_idx)%GLOBAL_DERIVATIVE_INDEX)
CASE(NO_GLOBAL_DERIV)
!pass
END SELECT
CASE(FIELD_DELUDELN_VARIABLE_TYPE)
SELECT CASE(DOMAIN_NODES%NODES(node_idx)%DERIVATIVES(deriv_idx)%GLOBAL_DERIVATIVE_INDEX)
CASE(NO_GLOBAL_DERIV)
!pass
END SELECT
END SELECT
!
! TWO DIMENSIONAL LINEAR ELASTICITY
!
CASE(EQUATIONS_SET_LINEAR_ELASTICITY_TWO_DIM_1)
SELECT CASE(component_idx)
CASE(1) !u component
SELECT CASE(variable_type)
CASE(FIELD_U_VARIABLE_TYPE)
SELECT CASE(DOMAIN_NODES%NODES(node_idx)%DERIVATIVES(deriv_idx)%GLOBAL_DERIVATIVE_INDEX)
CASE(NO_GLOBAL_DERIV)
!pass
END SELECT
CASE(FIELD_DELUDELN_VARIABLE_TYPE)
SELECT CASE(DOMAIN_NODES%NODES(node_idx)%DERIVATIVES(deriv_idx)%GLOBAL_DERIVATIVE_INDEX)
CASE(NO_GLOBAL_DERIV)
!pass
END SELECT
END SELECT
CASE(2) !v component
SELECT CASE(variable_type)
CASE(FIELD_U_VARIABLE_TYPE)
SELECT CASE(DOMAIN_NODES%NODES(node_idx)%DERIVATIVES(deriv_idx)%GLOBAL_DERIVATIVE_INDEX)
CASE(NO_GLOBAL_DERIV)
IF (ABS(X(1)-0.0_DP) < GEOMETRIC_TOL) THEN
BC_X_counter = BC_X_counter + 1
ENDIF
IF (ABS(X(2)-0.0_DP) < GEOMETRIC_TOL) THEN
BC_Y_counter = BC_Y_counter + 1
ENDIF
END SELECT
CASE(FIELD_DELUDELN_VARIABLE_TYPE)
SELECT CASE(DOMAIN_NODES%NODES(node_idx)%DERIVATIVES(deriv_idx)%GLOBAL_DERIVATIVE_INDEX)
CASE(NO_GLOBAL_DERIV)
!pass
END SELECT
END SELECT
END SELECT
!
! THREE DIMENSIONAL LINEAR ELASTICITY
!
CASE(EQUATIONS_SET_LINEAR_ELASTICITY_THREE_DIM_1)
LENGTH = 20.0_DP
WIDTH=20.0_DP
HEIGHT=5.0_DP
SELECT CASE(component_idx)
CASE(1) !u component
SELECT CASE(variable_type)
CASE(FIELD_U_VARIABLE_TYPE)
SELECT CASE(DOMAIN_NODES%NODES(node_idx)%DERIVATIVES(deriv_idx)%GLOBAL_DERIVATIVE_INDEX)
CASE(NO_GLOBAL_DERIV)
!pass
END SELECT
CASE(FIELD_DELUDELN_VARIABLE_TYPE)
SELECT CASE(DOMAIN_NODES%NODES(node_idx)%DERIVATIVES(deriv_idx)%GLOBAL_DERIVATIVE_INDEX)
CASE(NO_GLOBAL_DERIV)
!pass
END SELECT
END SELECT
CASE(2) !v component
SELECT CASE(variable_type)
CASE(FIELD_U_VARIABLE_TYPE)
SELECT CASE(DOMAIN_NODES%NODES(node_idx)%DERIVATIVES(deriv_idx)%GLOBAL_DERIVATIVE_INDEX)
CASE(NO_GLOBAL_DERIV)
!pass
END SELECT
CASE(FIELD_DELUDELN_VARIABLE_TYPE)
SELECT CASE(DOMAIN_NODES%NODES(node_idx)%DERIVATIVES(deriv_idx)%GLOBAL_DERIVATIVE_INDEX)
CASE(NO_GLOBAL_DERIV)
IF (ABS(X(2)-WIDTH) < GEOMETRIC_TOL) THEN
IF (ABS(X(1)-LENGTH) < GEOMETRIC_TOL) THEN
BC_Z_Nodes = BC_Z_Nodes + 1
ENDIF
IF (ABS(X(3)-HEIGHT) < GEOMETRIC_TOL) THEN
BC_X_Nodes = BC_X_Nodes + 1
ENDIF
ENDIF
END SELECT
END SELECT
CASE(3) !w component
SELECT CASE(variable_type)
CASE(FIELD_U_VARIABLE_TYPE)
SELECT CASE(DOMAIN_NODES%NODES(node_idx)%DERIVATIVES(deriv_idx)%GLOBAL_DERIVATIVE_INDEX)
CASE(NO_GLOBAL_DERIV)
!pass
END SELECT
CASE(FIELD_DELUDELN_VARIABLE_TYPE)
SELECT CASE(DOMAIN_NODES%NODES(node_idx)%DERIVATIVES(deriv_idx)%GLOBAL_DERIVATIVE_INDEX)
CASE(NO_GLOBAL_DERIV)
!pass
END SELECT
END SELECT
END SELECT
!
! THREE DIMENSIONAL LINEAR ELASTICITY FLEXURE
!
CASE(EQUATIONS_SET_LINEAR_ELASTICITY_THREE_DIM_2)
!LENGTH = 1.0_DP
!WIDTH=2.0_DP
!HEIGHT=5.0_DP
SELECT CASE(component_idx)
CASE(1) !u component
SELECT CASE(variable_type)
CASE(FIELD_U_VARIABLE_TYPE)
SELECT CASE(DOMAIN_NODES%NODES(node_idx)%DERIVATIVES(deriv_idx)%GLOBAL_DERIVATIVE_INDEX)
CASE(NO_GLOBAL_DERIV)
!pass
END SELECT
CASE(FIELD_DELUDELN_VARIABLE_TYPE)
SELECT CASE(DOMAIN_NODES%NODES(node_idx)%DERIVATIVES(deriv_idx)%GLOBAL_DERIVATIVE_INDEX)
CASE(NO_GLOBAL_DERIV)
!pass
END SELECT
END SELECT
CASE(2) !v component
SELECT CASE(variable_type)
CASE(FIELD_U_VARIABLE_TYPE)
SELECT CASE(DOMAIN_NODES%NODES(node_idx)%DERIVATIVES(deriv_idx)%GLOBAL_DERIVATIVE_INDEX)
CASE(NO_GLOBAL_DERIV)
!pass
END SELECT
CASE(FIELD_DELUDELN_VARIABLE_TYPE)
SELECT CASE(DOMAIN_NODES%NODES(node_idx)%DERIVATIVES(deriv_idx)%GLOBAL_DERIVATIVE_INDEX)
CASE(NO_GLOBAL_DERIV)
!pass
END SELECT
END SELECT
CASE(3) !w component
SELECT CASE(variable_type)
CASE(FIELD_U_VARIABLE_TYPE)
SELECT CASE(DOMAIN_NODES%NODES(node_idx)%DERIVATIVES(deriv_idx)%GLOBAL_DERIVATIVE_INDEX)
CASE(NO_GLOBAL_DERIV)
!pass
END SELECT
CASE(FIELD_DELUDELN_VARIABLE_TYPE)
SELECT CASE(DOMAIN_NODES%NODES(node_idx)%DERIVATIVES(deriv_idx)%GLOBAL_DERIVATIVE_INDEX)
CASE(NO_GLOBAL_DERIV)
!pass
END SELECT
END SELECT
END SELECT
CASE DEFAULT
localError="The analytic function type of "// &
& TRIM(NumberToVString(EQUATIONS_SET%ANALYTIC%ANALYTIC_FUNCTION_TYPE,"*",err,error))// &
& " is invalid."
CALL FlagError(localError,err,error,*999)
END SELECT
ENDDO !deriv_idx
ENDDO !node_idx
ELSE
CALL FlagError("Domain topology nodes is not associated.",err,error,*999)
ENDIF
ELSE
CALL FlagError("Domain topology is not associated.",err,error,*999)
ENDIF
ELSE
CALL FlagError("Domain is not associated.",err,error,*999)
ENDIF
ELSE
CALL FlagError("Only node based interpolation is implemented.",err,error,*999)
ENDIF
ENDDO !component_idx
ELSE
CALL FlagError("Field variable is not associated.",err,error,*999)
ENDIF
ENDDO !variable_idx
!
! SET BOUNDARY CONDITIONS & ANALYTIC SOLUTION VALUES
!
IF(ASSOCIATED(BOUNDARY_CONDITIONS)) THEN
DO variable_idx=1,DEPENDENT_FIELD%NUMBER_OF_VARIABLES
variable_type=DEPENDENT_FIELD%VARIABLES(variable_idx)%VARIABLE_TYPE
FIELD_VARIABLE=>DEPENDENT_FIELD%VARIABLE_TYPE_MAP(variable_type)%ptr
IF(ASSOCIATED(FIELD_VARIABLE)) THEN
CALL FIELD_PARAMETER_SET_CREATE(DEPENDENT_FIELD,variable_type,FIELD_ANALYTIC_VALUES_SET_TYPE,err,error,*999)
DO component_idx=1,FIELD_VARIABLE%NUMBER_OF_COMPONENTS
IF(FIELD_VARIABLE%COMPONENTS(component_idx)%INTERPOLATION_TYPE==FIELD_NODE_BASED_INTERPOLATION) THEN
DOMAIN=>FIELD_VARIABLE%COMPONENTS(component_idx)%DOMAIN
IF(ASSOCIATED(DOMAIN)) THEN
IF(ASSOCIATED(DOMAIN%TOPOLOGY)) THEN
DOMAIN_NODES=>DOMAIN%TOPOLOGY%NODES
IF(ASSOCIATED(DOMAIN_NODES)) THEN
!Loop over the local nodes excluding the ghosts.
DO node_idx=1,DOMAIN_NODES%NUMBER_OF_NODES
!!TODO \todo We should interpolate the geometric field here and the node position.
DO dim_idx=1,NUMBER_OF_DIMENSIONS
!Default to version 1 of each node derivative
local_ny=GEOMETRIC_VARIABLE%COMPONENTS(dim_idx)%PARAM_TO_DOF_MAP%NODE_PARAM2DOF_MAP% &
& NODES(node_idx)%DERIVATIVES(1)%VERSIONS(1)
X(dim_idx)=GEOMETRIC_PARAMETERS(local_ny)
ENDDO !dim_idx
!Loop over the derivatives
DO deriv_idx=1,DOMAIN_NODES%NODES(node_idx)%NUMBER_OF_DERIVATIVES
SET_BC = .FALSE.
SELECT CASE(EQUATIONS_SET%ANALYTIC%ANALYTIC_FUNCTION_TYPE)
!
! ONE DIMENSIONAL LINEAR ELASTICITY
!
CASE(EQUATIONS_SET_LINEAR_ELASTICITY_ONE_DIM_1)
FORCE_X=50.0_DP
LENGTH = 20.0_DP
WIDTH=20.0_DP
HEIGHT=5.0_DP
FORCE_X_AREA = WIDTH*HEIGHT
E = 10E3_DP
SELECT CASE(variable_type)
!!TODO set material parameters from material field
CASE(FIELD_U_VARIABLE_TYPE)
SELECT CASE(DOMAIN_NODES%NODES(node_idx)%DERIVATIVES(deriv_idx)%GLOBAL_DERIVATIVE_INDEX)
CASE(NO_GLOBAL_DERIV)
ANALYTIC_VALUE=(X(1)*(FORCE_X/FORCE_X_AREA))/E
IF (ABS(X(1)-0.0_DP) < GEOMETRIC_TOL) THEN
SET_BC = .TRUE.
BC_VALUE=0.0_DP
ENDIF
CASE(GLOBAL_DERIV_S1)
ANALYTIC_VALUE=1.0_DP
CASE DEFAULT
localError="The global derivative index of "//TRIM(NumberToVString( &
& DOMAIN_NODES%NODES(node_idx)%DERIVATIVES(deriv_idx)%GLOBAL_DERIVATIVE_INDEX,"*", &
& err,error))//" is invalid."
CALL FlagError(localError,err,error,*999)
END SELECT
CASE(FIELD_DELUDELN_VARIABLE_TYPE)
SELECT CASE(DOMAIN_NODES%NODES(node_idx)%DERIVATIVES(deriv_idx)%GLOBAL_DERIVATIVE_INDEX)
CASE(NO_GLOBAL_DERIV)
IF (ABS(X(1)-0.0_DP) < GEOMETRIC_TOL) THEN
ANALYTIC_VALUE=-FORCE_X
ELSE
ANALYTIC_VALUE=0.0_DP
ENDIF
IF (ABS(X(1)-LENGTH) < GEOMETRIC_TOL) THEN
SET_BC = .TRUE.
BC_VALUE=-FORCE_X
ENDIF
CASE(GLOBAL_DERIV_S1)
ANALYTIC_VALUE=1.0_DP
CASE DEFAULT
localError="The global derivative index of "//TRIM(NumberToVString( &
& DOMAIN_NODES%NODES(node_idx)%DERIVATIVES(deriv_idx)%GLOBAL_DERIVATIVE_INDEX,"*", &
& err,error))//" is invalid."
CALL FlagError(localError,err,error,*999)
END SELECT
CASE DEFAULT
localError="The variable type of "//TRIM(NumberToVString(variable_type,"*",err,error))// &
& " is invalid."
CALL FlagError(localError,err,error,*999)
END SELECT
!
! TWO DIMENSIONAL LINEAR ELASTICITY
!
CASE(EQUATIONS_SET_LINEAR_ELASTICITY_TWO_DIM_1)
LENGTH = 20.0_DP
WIDTH=20.0_DP
HEIGHT=5.0_DP
FORCE_Y=50.0_DP
FORCE_Y_AREA=WIDTH*HEIGHT
E = 10.0E3_DP
v_X = 0.3_DP
SELECT CASE(component_idx)
CASE(1) !u component
!u=Sigmax*x/E
SELECT CASE(variable_type)
!!TODO set material parameters from material field
CASE(FIELD_U_VARIABLE_TYPE)
SELECT CASE(DOMAIN_NODES%NODES(node_idx)%DERIVATIVES(deriv_idx)%GLOBAL_DERIVATIVE_INDEX)
CASE(NO_GLOBAL_DERIV)
ANALYTIC_VALUE=(-v_X*X(1)*(FORCE_Y/FORCE_Y_AREA))/E
IF (ABS(X(1)-0.0_DP) < GEOMETRIC_TOL) THEN
SET_BC = .TRUE.
BC_VALUE=0.0_DP
ENDIF
CASE(GLOBAL_DERIV_S1)
ANALYTIC_VALUE=1.0_DP
CASE(GLOBAL_DERIV_S2)
ANALYTIC_VALUE=1.0_DP
CASE(GLOBAL_DERIV_S1_S2)
ANALYTIC_VALUE=1.0_DP
CASE DEFAULT
localError="The global derivative index of "//TRIM(NumberToVString( &
& DOMAIN_NODES%NODES(node_idx)%DERIVATIVES(deriv_idx)%GLOBAL_DERIVATIVE_INDEX,"*", &
& err,error))//" is invalid."
CALL FlagError(localError,err,error,*999)
END SELECT
CASE(FIELD_DELUDELN_VARIABLE_TYPE)
SELECT CASE(DOMAIN_NODES%NODES(node_idx)%DERIVATIVES(deriv_idx)%GLOBAL_DERIVATIVE_INDEX)
CASE(NO_GLOBAL_DERIV)
ANALYTIC_VALUE=0.0_DP
CASE(GLOBAL_DERIV_S1)
ANALYTIC_VALUE=1.0_DP
CASE(GLOBAL_DERIV_S2)
ANALYTIC_VALUE=1.0_DP
CASE(GLOBAL_DERIV_S1_S2)
ANALYTIC_VALUE=1.0_DP
CASE DEFAULT
localError="The global derivative index of "//TRIM(NumberToVString( &
& DOMAIN_NODES%NODES(node_idx)%DERIVATIVES(deriv_idx)%GLOBAL_DERIVATIVE_INDEX,"*", &
& err,error))//" is invalid."
CALL FlagError(localError,err,error,*999)
END SELECT
CASE DEFAULT
localError="The variable type of "//TRIM(NumberToVString(variable_type,"*",err,error))// &
& " is invalid."
CALL FlagError(localError,err,error,*999)
END SELECT
CASE(2) !v component
!v=Sigmay*y/E
SELECT CASE(variable_type)
CASE(FIELD_U_VARIABLE_TYPE)
SELECT CASE(DOMAIN_NODES%NODES(node_idx)%DERIVATIVES(deriv_idx)%GLOBAL_DERIVATIVE_INDEX)
CASE(NO_GLOBAL_DERIV)
ANALYTIC_VALUE=(X(2)*(FORCE_Y/FORCE_Y_AREA))/E
IF (ABS(X(2)-0.0_DP) < GEOMETRIC_TOL) THEN
SET_BC = .TRUE.
BC_VALUE=0.0_DP
ENDIF
CASE(GLOBAL_DERIV_S1)
ANALYTIC_VALUE=0.0_DP
CASE(GLOBAL_DERIV_S2)
ANALYTIC_VALUE=0.0_DP
CASE(GLOBAL_DERIV_S1_S2)
ANALYTIC_VALUE=0.0_DP
CASE DEFAULT
localError="The global derivative index of "//TRIM(NumberToVString( &
& DOMAIN_NODES%NODES(node_idx)%DERIVATIVES(deriv_idx)%GLOBAL_DERIVATIVE_INDEX,"*", &
& err,error))//" is invalid."
CALL FlagError(localError,err,error,*999)
END SELECT
CASE(FIELD_DELUDELN_VARIABLE_TYPE)
SELECT CASE(DOMAIN_NODES%NODES(node_idx)%DERIVATIVES(deriv_idx)%GLOBAL_DERIVATIVE_INDEX)
CASE(NO_GLOBAL_DERIV)
ANALYTIC_VALUE=0.0_DP
!If node located on a line edge of mesh
IF (ABS(X(2)-WIDTH) < GEOMETRIC_TOL) THEN !Apply Force BC
SET_BC = .TRUE.
IF ((ABS(X(1)-0.0_DP) < GEOMETRIC_TOL) .OR. (ABS(X(1)-LENGTH) < GEOMETRIC_TOL)) THEN !lies on a corner of the mesh
BC_VALUE=-FORCE_Y/(BC_Y_counter-1.0_DP)*0.5_DP
ELSE !does not lie on a corner of the mesh
BC_VALUE=-FORCE_Y/(BC_Y_counter-1.0_DP)
ENDIF
ELSEIF (ABS(X(2)-0) < GEOMETRIC_TOL) THEN !Provide Analytic reaction force, node located on fixed displacment edge
IF ((ABS(X(1)-0.0_DP) < GEOMETRIC_TOL) .OR. (ABS(X(1)-LENGTH) < GEOMETRIC_TOL)) THEN !lies on a corner of the mesh
ANALYTIC_VALUE=-FORCE_Y/(BC_Y_counter-1.0_DP)*0.5_DP
ELSE !does not lie on a corner of the mesh
ANALYTIC_VALUE=-FORCE_Y/(BC_Y_counter-1.0_DP)
ENDIF
ENDIF
CASE(GLOBAL_DERIV_S1)
ANALYTIC_VALUE=0.0_DP
CASE(GLOBAL_DERIV_S2)
ANALYTIC_VALUE=0.0_DP
CASE(GLOBAL_DERIV_S1_S2)
ANALYTIC_VALUE=0.0_DP
CASE DEFAULT
localError="The global derivative index of "//TRIM(NumberToVString( &
& DOMAIN_NODES%NODES(node_idx)%DERIVATIVES(deriv_idx)%GLOBAL_DERIVATIVE_INDEX,"*", &
& err,error))//" is invalid."
CALL FlagError(localError,err,error,*999)
END SELECT
CASE DEFAULT
localError="The variable type of "//TRIM(NumberToVString(variable_type,"*",err,error))// &
& " is invalid."
CALL FlagError(localError,err,error,*999)
END SELECT
CASE DEFAULT
localError="The component index of "//TRIM(NumberToVString(component_idx,"*",err,error))// &
& " is invalid."
CALL FlagError(localError,err,error,*999)
END SELECT
!
! THREE DIMENSIONAL LINEAR ELASTICITY
!
CASE(EQUATIONS_SET_LINEAR_ELASTICITY_THREE_DIM_1)
LENGTH = 20.0_DP
WIDTH=20.0_DP
HEIGHT=5.0_DP
FORCE_Y=50.0_DP
FORCE_Y_AREA=WIDTH*HEIGHT
E = 10.0E3_DP
v_X = 0.3_DP
SELECT CASE(component_idx)
CASE(1) !u component
!u=
SELECT CASE(variable_type)
CASE(FIELD_U_VARIABLE_TYPE)
SELECT CASE(DOMAIN_NODES%NODES(node_idx)%DERIVATIVES(deriv_idx)%GLOBAL_DERIVATIVE_INDEX)
CASE(NO_GLOBAL_DERIV)
ANALYTIC_VALUE=(-v_X*X(1)*(FORCE_Y/FORCE_Y_AREA))/E
IF (ABS(X(1)-0.0_DP) < GEOMETRIC_TOL) THEN
SET_BC = .TRUE.
BC_VALUE=0.0_DP
ENDIF
CASE(GLOBAL_DERIV_S1)
ANALYTIC_VALUE=0.0_DP
CASE(GLOBAL_DERIV_S2)
ANALYTIC_VALUE=0.0_DP
CASE(GLOBAL_DERIV_S1_S2)
ANALYTIC_VALUE=0.0_DP
CASE(GLOBAL_DERIV_S3)
ANALYTIC_VALUE=0.0_DP
CASE(GLOBAL_DERIV_S1_S3)
ANALYTIC_VALUE=0.0_DP
CASE(GLOBAL_DERIV_S2_S3)
ANALYTIC_VALUE=0.0_DP
CASE(GLOBAL_DERIV_S1_S2_S3)
ANALYTIC_VALUE=0.0_DP
CASE DEFAULT
localError="The global derivative index of "//TRIM(NumberToVString( &
& DOMAIN_NODES%NODES(node_idx)%DERIVATIVES(deriv_idx)%GLOBAL_DERIVATIVE_INDEX,"*", &
& err,error))//" is invalid."
CALL FlagError(localError,err,error,*999)
END SELECT
CASE(FIELD_DELUDELN_VARIABLE_TYPE)
SELECT CASE(DOMAIN_NODES%NODES(node_idx)%DERIVATIVES(deriv_idx)%GLOBAL_DERIVATIVE_INDEX)
CASE(NO_GLOBAL_DERIV)
ANALYTIC_VALUE=0.0_DP
CASE(GLOBAL_DERIV_S1)
ANALYTIC_VALUE=0.0_DP
CASE(GLOBAL_DERIV_S2)
ANALYTIC_VALUE=0.0_DP
CASE(GLOBAL_DERIV_S1_S2)
ANALYTIC_VALUE=0.0_DP
CASE(GLOBAL_DERIV_S3)
ANALYTIC_VALUE=0.0_DP
CASE(GLOBAL_DERIV_S1_S3)
ANALYTIC_VALUE=0.0_DP
CASE(GLOBAL_DERIV_S2_S3)
ANALYTIC_VALUE=0.0_DP
CASE(GLOBAL_DERIV_S1_S2_S3)
ANALYTIC_VALUE=0.0_DP
CASE DEFAULT
localError="The global derivative index of "//TRIM(NumberToVString( &
& DOMAIN_NODES%NODES(node_idx)%DERIVATIVES(deriv_idx)%GLOBAL_DERIVATIVE_INDEX,"*", &
& err,error))//" is invalid."
CALL FlagError(localError,err,error,*999)
END SELECT
CASE DEFAULT
localError="The variable type of "//TRIM(NumberToVString(variable_type,"*",err,error))// &
& " is invalid."
CALL FlagError(localError,err,error,*999)
END SELECT
CASE(2) !v component
!v=
SELECT CASE(variable_type)
CASE(FIELD_U_VARIABLE_TYPE)
SELECT CASE(DOMAIN_NODES%NODES(node_idx)%DERIVATIVES(deriv_idx)%GLOBAL_DERIVATIVE_INDEX)
CASE(NO_GLOBAL_DERIV)
ANALYTIC_VALUE=(X(2)*(FORCE_Y/FORCE_Y_AREA))/E
IF (ABS(X(2)-0.0_DP) < GEOMETRIC_TOL) THEN
SET_BC = .TRUE.
BC_VALUE=0.0_DP
ENDIF
CASE(GLOBAL_DERIV_S1)
ANALYTIC_VALUE=0.0_DP
CASE(GLOBAL_DERIV_S2)
ANALYTIC_VALUE=0.0_DP
CASE(GLOBAL_DERIV_S1_S2)
ANALYTIC_VALUE=0.0_DP
CASE(GLOBAL_DERIV_S3)
ANALYTIC_VALUE=0.0_DP
CASE(GLOBAL_DERIV_S1_S3)
ANALYTIC_VALUE=0.0_DP
CASE(GLOBAL_DERIV_S2_S3)
ANALYTIC_VALUE=0.0_DP
CASE(GLOBAL_DERIV_S1_S2_S3)
ANALYTIC_VALUE=0.0_DP
CASE DEFAULT
localError="The global derivative index of "//TRIM(NumberToVString( &
& DOMAIN_NODES%NODES(node_idx)%DERIVATIVES(deriv_idx)%GLOBAL_DERIVATIVE_INDEX,"*", &
& err,error))//" is invalid."
CALL FlagError(localError,err,error,*999)
END SELECT
CASE(FIELD_DELUDELN_VARIABLE_TYPE)
SELECT CASE(DOMAIN_NODES%NODES(node_idx)%DERIVATIVES(deriv_idx)%GLOBAL_DERIVATIVE_INDEX)
CASE(NO_GLOBAL_DERIV)
ANALYTIC_VALUE=0.0_DP
IF (ABS(X(2)-WIDTH) < GEOMETRIC_TOL) THEN !Apply Force BC
SET_BC = .TRUE.
IF (((ABS(X(1)-0.0_DP) < GEOMETRIC_TOL) .AND. (ABS(X(3)-0.0_DP) < GEOMETRIC_TOL)) .OR. &
& ((ABS(X(1)-LENGTH) < GEOMETRIC_TOL) .AND. (ABS(X(3)-0.0_DP) < GEOMETRIC_TOL)) .OR. &
& ((ABS(X(1)-0.0_DP) < GEOMETRIC_TOL) .AND. (ABS(X(3)-HEIGHT) < GEOMETRIC_TOL)) .OR. &
& ((ABS(X(1)-LENGTH) < GEOMETRIC_TOL) .AND. (ABS(X(3)-HEIGHT) < GEOMETRIC_TOL))) THEN !lies on a corner of the mesh
BC_VALUE=-FORCE_Y/((BC_X_Nodes-1.0_DP)*(BC_Z_Nodes-1.0_DP))*0.25_DP
ELSEIF ((ABS(X(1)-0.0_DP) < GEOMETRIC_TOL) .OR. (ABS(X(1)-LENGTH) < GEOMETRIC_TOL) .OR. &
& (ABS(X(3)-0.0_DP) < GEOMETRIC_TOL) .OR. (ABS(X(3)-HEIGHT) < GEOMETRIC_TOL)) THEN !lies on an edge of the mesh
BC_VALUE=-FORCE_Y/((BC_X_Nodes-1.0_DP)*(BC_Z_Nodes-1.0_DP))*0.5_DP
ELSE !lies on xi2=1 face
BC_VALUE=-FORCE_Y/((BC_X_Nodes-1.0_DP)*(BC_Z_Nodes-1.0_DP))
ENDIF
ELSEIF (ABS(X(2)-0.0_DP) < GEOMETRIC_TOL) THEN !Provide Analytic reaction force, node located on fixed displacment edge
IF (((ABS(X(1)-0.0_DP) < GEOMETRIC_TOL) .AND. (ABS(X(3)-0.0_DP) < GEOMETRIC_TOL)) .OR. &
& ((ABS(X(1)-LENGTH) < GEOMETRIC_TOL) .AND. (ABS(X(3)-0.0_DP) < GEOMETRIC_TOL)) .OR. &
& ((ABS(X(1)-0.0_DP) < GEOMETRIC_TOL) .AND. (ABS(X(3)-HEIGHT) < GEOMETRIC_TOL)) .OR. &
& ((ABS(X(1)-LENGTH) < GEOMETRIC_TOL) .AND. (ABS(X(3)-HEIGHT) < GEOMETRIC_TOL))) THEN !lies on a corner of the mesh
ANALYTIC_VALUE=-FORCE_Y/((BC_X_Nodes-1.0_DP)*(BC_Z_Nodes-1.0_DP))*0.25_DP
ELSEIF ((ABS(X(1)-0.0_DP) < GEOMETRIC_TOL) .OR. (ABS(X(1)-LENGTH) < GEOMETRIC_TOL) .OR. &
& (ABS(X(3)-0.0_DP) < GEOMETRIC_TOL) .OR. (ABS(X(3)-HEIGHT) < GEOMETRIC_TOL)) THEN !lies on an edge of the mesh
ANALYTIC_VALUE=-FORCE_Y/((BC_X_Nodes-1.0_DP)*(BC_Z_Nodes-1.0_DP))*0.5_DP
ELSE !lies on xi2=1 face
ANALYTIC_VALUE=-FORCE_Y/((BC_X_Nodes-1.0_DP)*(BC_Z_Nodes-1.0_DP))
ENDIF
ENDIF
CASE(GLOBAL_DERIV_S1)
ANALYTIC_VALUE=0.0_DP
CASE(GLOBAL_DERIV_S2)
ANALYTIC_VALUE=0.0_DP
CASE(GLOBAL_DERIV_S1_S2)
ANALYTIC_VALUE=0.0_DP
CASE(GLOBAL_DERIV_S3)
ANALYTIC_VALUE=0.0_DP
CASE(GLOBAL_DERIV_S1_S3)
ANALYTIC_VALUE=0.0_DP
CASE(GLOBAL_DERIV_S2_S3)
ANALYTIC_VALUE=0.0_DP
CASE(GLOBAL_DERIV_S1_S2_S3)
ANALYTIC_VALUE=0.0_DP
CASE DEFAULT
localError="The global derivative index of "//TRIM(NumberToVString( &
& DOMAIN_NODES%NODES(node_idx)%DERIVATIVES(deriv_idx)%GLOBAL_DERIVATIVE_INDEX,"*", &
& err,error))//" is invalid."
CALL FlagError(localError,err,error,*999)
END SELECT
CASE DEFAULT
localError="The variable type of "//TRIM(NumberToVString(variable_type,"*",err,error))// &
& " is invalid."
CALL FlagError(localError,err,error,*999)
END SELECT
CASE(3) !w component
!w=
SELECT CASE(variable_type)
CASE(FIELD_U_VARIABLE_TYPE)
SELECT CASE(DOMAIN_NODES%NODES(node_idx)%DERIVATIVES(deriv_idx)%GLOBAL_DERIVATIVE_INDEX)
CASE(NO_GLOBAL_DERIV)
ANALYTIC_VALUE=(-v_X*X(3)*(FORCE_Y/FORCE_Y_AREA))/E
IF (ABS(X(3)-0.0_DP) < GEOMETRIC_TOL) THEN
SET_BC = .TRUE.
BC_VALUE=0.0_DP
ENDIF
CASE(GLOBAL_DERIV_S1)
ANALYTIC_VALUE=0.0_DP
CASE(GLOBAL_DERIV_S2)
ANALYTIC_VALUE=0.0_DP
CASE(GLOBAL_DERIV_S1_S2)
ANALYTIC_VALUE=0.0_DP
CASE(GLOBAL_DERIV_S3)
ANALYTIC_VALUE=0.0_DP
CASE(GLOBAL_DERIV_S1_S3)
ANALYTIC_VALUE=0.0_DP
CASE(GLOBAL_DERIV_S2_S3)
ANALYTIC_VALUE=0.0_DP
CASE(GLOBAL_DERIV_S1_S2_S3)
ANALYTIC_VALUE=0.0_DP
CASE DEFAULT
localError="The global derivative index of "//TRIM(NumberToVString( &
& DOMAIN_NODES%NODES(node_idx)%DERIVATIVES(deriv_idx)%GLOBAL_DERIVATIVE_INDEX,"*", &
& err,error))//" is invalid."
CALL FlagError(localError,err,error,*999)
END SELECT
CASE(FIELD_DELUDELN_VARIABLE_TYPE)
SELECT CASE(DOMAIN_NODES%NODES(node_idx)%DERIVATIVES(deriv_idx)%GLOBAL_DERIVATIVE_INDEX)
CASE(NO_GLOBAL_DERIV)
ANALYTIC_VALUE=0.0_DP
CASE(GLOBAL_DERIV_S1)
ANALYTIC_VALUE=0.0_DP
CASE(GLOBAL_DERIV_S2)
ANALYTIC_VALUE=0.0_DP
CASE(GLOBAL_DERIV_S1_S2)
ANALYTIC_VALUE=0.0_DP
CASE(GLOBAL_DERIV_S3)
ANALYTIC_VALUE=0.0_DP
CASE(GLOBAL_DERIV_S1_S3)
ANALYTIC_VALUE=0.0_DP
CASE(GLOBAL_DERIV_S2_S3)
ANALYTIC_VALUE=0.0_DP
CASE(GLOBAL_DERIV_S1_S2_S3)
ANALYTIC_VALUE=0.0_DP
CASE DEFAULT
localError="The global derivative index of "//TRIM(NumberToVString( &
& DOMAIN_NODES%NODES(node_idx)%DERIVATIVES(deriv_idx)%GLOBAL_DERIVATIVE_INDEX,"*", &
& err,error))//" is invalid."
CALL FlagError(localError,err,error,*999)
END SELECT
CASE DEFAULT
localError="The variable type of "//TRIM(NumberToVString(variable_type,"*",err,error))// &
& " is invalid."
CALL FlagError(localError,err,error,*999)
END SELECT
CASE DEFAULT
localError="The component index of "//TRIM(NumberToVString(component_idx,"*",err,error))// &
& " is invalid."
CALL FlagError(localError,err,error,*999)
END SELECT
!
! THREE DIMENSIONAL LINEAR ELASTICITY FLEXURE
!
CASE(EQUATIONS_SET_LINEAR_ELASTICITY_THREE_DIM_2)
LENGTH = 5.0_DP
WIDTH=2.0_DP
HEIGHT=2.0_DP
FORCE_Z=-1.0_DP
!FORCE_Z_AREA=WIDTH*HEIGHT
E = 10.0E3_DP
v_X = 0.3_DP
Iyy = (HEIGHT*(WIDTH**3.0_DP))/12.0_DP
SELECT CASE(component_idx)
CASE(1) !u component
!u=
SELECT CASE(variable_type)
CASE(FIELD_U_VARIABLE_TYPE)
SELECT CASE(DOMAIN_NODES%NODES(node_idx)%DERIVATIVES(deriv_idx)%GLOBAL_DERIVATIVE_INDEX)
CASE(NO_GLOBAL_DERIV)
!ANALYTIC_VALUE=(-v_X*X(1)*(FORCE_Y/FORCE_Y_AREA))/E
IF (ABS(X(1)-0.0_DP) < GEOMETRIC_TOL) THEN
SET_BC = .TRUE.
BC_VALUE=0.0_DP
ENDIF
CASE(GLOBAL_DERIV_S1)
ANALYTIC_VALUE=0.0_DP
CASE(GLOBAL_DERIV_S2)
ANALYTIC_VALUE=0.0_DP
CASE(GLOBAL_DERIV_S1_S2)
ANALYTIC_VALUE=0.0_DP
CASE(GLOBAL_DERIV_S3)
ANALYTIC_VALUE=0.0_DP
CASE(GLOBAL_DERIV_S1_S3)
ANALYTIC_VALUE=0.0_DP
CASE(GLOBAL_DERIV_S2_S3)
ANALYTIC_VALUE=0.0_DP
CASE(GLOBAL_DERIV_S1_S2_S3)
ANALYTIC_VALUE=0.0_DP
CASE DEFAULT
localError="The global derivative index of "//TRIM(NumberToVString( &
& DOMAIN_NODES%NODES(node_idx)%DERIVATIVES(deriv_idx)%GLOBAL_DERIVATIVE_INDEX,"*", &
& err,error))//" is invalid."
CALL FlagError(localError,err,error,*999)
END SELECT
CASE(FIELD_DELUDELN_VARIABLE_TYPE)
SELECT CASE(DOMAIN_NODES%NODES(node_idx)%DERIVATIVES(deriv_idx)%GLOBAL_DERIVATIVE_INDEX)
CASE(NO_GLOBAL_DERIV)
ANALYTIC_VALUE=0.0_DP
CASE(GLOBAL_DERIV_S1)
ANALYTIC_VALUE=0.0_DP
CASE(GLOBAL_DERIV_S2)
ANALYTIC_VALUE=0.0_DP
CASE(GLOBAL_DERIV_S1_S2)
ANALYTIC_VALUE=0.0_DP
CASE(GLOBAL_DERIV_S3)
ANALYTIC_VALUE=0.0_DP
CASE(GLOBAL_DERIV_S1_S3)
ANALYTIC_VALUE=0.0_DP
CASE(GLOBAL_DERIV_S2_S3)
ANALYTIC_VALUE=0.0_DP
CASE(GLOBAL_DERIV_S1_S2_S3)
ANALYTIC_VALUE=0.0_DP
CASE DEFAULT
localError="The global derivative index of "//TRIM(NumberToVString( &
& DOMAIN_NODES%NODES(node_idx)%DERIVATIVES(deriv_idx)%GLOBAL_DERIVATIVE_INDEX,"*", &
& err,error))//" is invalid."
CALL FlagError(localError,err,error,*999)
END SELECT
CASE DEFAULT
localError="The variable type of "//TRIM(NumberToVString(variable_type,"*",err,error))// &
& " is invalid."
CALL FlagError(localError,err,error,*999)
END SELECT
CASE(2) !v component
!v=
SELECT CASE(variable_type)
CASE(FIELD_U_VARIABLE_TYPE)
SELECT CASE(DOMAIN_NODES%NODES(node_idx)%DERIVATIVES(deriv_idx)%GLOBAL_DERIVATIVE_INDEX)
CASE(NO_GLOBAL_DERIV)
!ANALYTIC_VALUE=(X(2)*(FORCE_Y/FORCE_Y_AREA))/E
!IF (ABS(X(1)-0.0_DP) < GEOMETRIC_TOL) THEN
! SET_BC = .TRUE.
! BC_VALUE=0.0_DP
!ENDIF
CASE(GLOBAL_DERIV_S1)
ANALYTIC_VALUE=0.0_DP
CASE(GLOBAL_DERIV_S2)
ANALYTIC_VALUE=0.0_DP
CASE(GLOBAL_DERIV_S1_S2)
ANALYTIC_VALUE=0.0_DP
CASE(GLOBAL_DERIV_S3)
ANALYTIC_VALUE=0.0_DP
CASE(GLOBAL_DERIV_S1_S3)
ANALYTIC_VALUE=0.0_DP
CASE(GLOBAL_DERIV_S2_S3)
ANALYTIC_VALUE=0.0_DP
CASE(GLOBAL_DERIV_S1_S2_S3)
ANALYTIC_VALUE=0.0_DP
CASE DEFAULT
localError="The global derivative index of "//TRIM(NumberToVString( &
& DOMAIN_NODES%NODES(node_idx)%DERIVATIVES(deriv_idx)%GLOBAL_DERIVATIVE_INDEX,"*", &
& err,error))//" is invalid."
CALL FlagError(localError,err,error,*999)
END SELECT
CASE(FIELD_DELUDELN_VARIABLE_TYPE)
SELECT CASE(DOMAIN_NODES%NODES(node_idx)%DERIVATIVES(deriv_idx)%GLOBAL_DERIVATIVE_INDEX)
CASE(NO_GLOBAL_DERIV)
ANALYTIC_VALUE=0.0_DP
! IF (ABS(X(2)-WIDTH) < GEOMETRIC_TOL) THEN !Apply Force BC
! SET_BC = .TRUE.
! IF (((ABS(X(1)-0.0_DP) < GEOMETRIC_TOL) .AND. (ABS(X(3)-0.0_DP) < GEOMETRIC_TOL)) .OR. &
! & ((ABS(X(1)-LENGTH) < GEOMETRIC_TOL) .AND. (ABS(X(3)-0.0_DP) < GEOMETRIC_TOL)) .OR. &
! & ((ABS(X(1)-0.0_DP) < GEOMETRIC_TOL) .AND. (ABS(X(3)-HEIGHT) < GEOMETRIC_TOL)) .OR. &
! & ((ABS(X(1)-LENGTH) < GEOMETRIC_TOL) .AND. (ABS(X(3)-HEIGHT) < GEOMETRIC_TOL))) THEN !lies on a corner of the mesh
! BC_VALUE=FORCE_Y/((BC_X_Nodes-1.0_DP)*(BC_Z_Nodes-1.0_DP))*0.25_DP
! ELSEIF ((ABS(X(1)-0.0_DP) < GEOMETRIC_TOL) .OR. (ABS(X(1)-LENGTH) < GEOMETRIC_TOL) .OR. &
! & (ABS(X(3)-0.0_DP) < GEOMETRIC_TOL) .OR. (ABS(X(3)-HEIGHT) < GEOMETRIC_TOL)) THEN !lies on an edge of the mesh
! BC_VALUE=FORCE_Y/((BC_X_Nodes-1.0_DP)*(BC_Z_Nodes-1.0_DP))*0.5_DP
! ELSE !lies on xi2=1 face
! BC_VALUE=FORCE_Y/((BC_X_Nodes-1.0_DP)*(BC_Z_Nodes-1.0_DP))
! ENDIF
! ELSEIF (ABS(X(2)-0.0_DP) < GEOMETRIC_TOL) THEN !Provide Analytic reaction force, node located on fixed displacment edge
! IF (((ABS(X(1)-0.0_DP) < GEOMETRIC_TOL) .AND. (ABS(X(3)-0.0_DP) < GEOMETRIC_TOL)) .OR. &
! & ((ABS(X(1)-LENGTH) < GEOMETRIC_TOL) .AND. (ABS(X(3)-0.0_DP) < GEOMETRIC_TOL)) .OR. &
! & ((ABS(X(1)-0.0_DP) < GEOMETRIC_TOL) .AND. (ABS(X(3)-HEIGHT) < GEOMETRIC_TOL)) .OR. &
! & ((ABS(X(1)-LENGTH) < GEOMETRIC_TOL) .AND. (ABS(X(3)-HEIGHT) < GEOMETRIC_TOL))) THEN !lies on a corner of the mesh
! ANALYTIC_VALUE=-FORCE_Y/((BC_X_Nodes-1.0_DP)*(BC_Z_Nodes-1.0_DP))*0.25_DP
! ELSEIF ((ABS(X(1)-0.0_DP) < GEOMETRIC_TOL) .OR. (ABS(X(1)-LENGTH) < GEOMETRIC_TOL) .OR. &
! & (ABS(X(3)-0.0_DP) < GEOMETRIC_TOL) .OR. (ABS(X(3)-HEIGHT) < GEOMETRIC_TOL)) THEN !lies on an edge of the mesh
! ANALYTIC_VALUE=-FORCE_Y/((BC_X_Nodes-1.0_DP)*(BC_Z_Nodes-1.0_DP))*0.5_DP
! ELSE !lies on xi2=1 face
! ANALYTIC_VALUE=-FORCE_Y/((BC_X_Nodes-1.0_DP)*(BC_Z_Nodes-1.0_DP))
! ENDIF
! ENDIF
CASE(GLOBAL_DERIV_S1)
ANALYTIC_VALUE=0.0_DP
CASE(GLOBAL_DERIV_S2)
ANALYTIC_VALUE=0.0_DP
CASE(GLOBAL_DERIV_S1_S2)
ANALYTIC_VALUE=0.0_DP
CASE(GLOBAL_DERIV_S3)
ANALYTIC_VALUE=0.0_DP
CASE(GLOBAL_DERIV_S1_S3)
ANALYTIC_VALUE=0.0_DP
CASE(GLOBAL_DERIV_S2_S3)
ANALYTIC_VALUE=0.0_DP
CASE(GLOBAL_DERIV_S1_S2_S3)
ANALYTIC_VALUE=0.0_DP
CASE DEFAULT
localError="The global derivative index of "//TRIM(NumberToVString( &
& DOMAIN_NODES%NODES(node_idx)%DERIVATIVES(deriv_idx)%GLOBAL_DERIVATIVE_INDEX,"*", &
& err,error))//" is invalid."
CALL FlagError(localError,err,error,*999)
END SELECT
CASE DEFAULT
localError="The variable type of "//TRIM(NumberToVString(variable_type,"*",err,error))// &
& " is invalid."
CALL FlagError(localError,err,error,*999)
END SELECT
CASE(3) !w component
!w=
SELECT CASE(variable_type)
CASE(FIELD_U_VARIABLE_TYPE)
SELECT CASE(DOMAIN_NODES%NODES(node_idx)%DERIVATIVES(deriv_idx)%GLOBAL_DERIVATIVE_INDEX)
CASE(NO_GLOBAL_DERIV)
ANALYTIC_VALUE=0.0_DP
IF ((ABS(X(1)-0.0_DP) < GEOMETRIC_TOL) .AND. (ABS(X(2)-0.0_DP) < GEOMETRIC_TOL)) THEN
ANALYTIC_VALUE=(FORCE_Z*(3.0_DP*LENGTH-X(3))*X(3)**2.0_DP)/(6.0_DP*Iyy*E)
ENDIF
IF (ABS(X(1)-0.0_DP) < GEOMETRIC_TOL) THEN
SET_BC = .TRUE.
BC_VALUE=0.0_DP
ENDIF
CASE(GLOBAL_DERIV_S1)
ANALYTIC_VALUE=0.0_DP
CASE(GLOBAL_DERIV_S2)
ANALYTIC_VALUE=0.0_DP
CASE(GLOBAL_DERIV_S1_S2)
ANALYTIC_VALUE=0.0_DP
CASE(GLOBAL_DERIV_S3)
ANALYTIC_VALUE=0.0_DP
CASE(GLOBAL_DERIV_S1_S3)
ANALYTIC_VALUE=0.0_DP
CASE(GLOBAL_DERIV_S2_S3)
ANALYTIC_VALUE=0.0_DP
CASE(GLOBAL_DERIV_S1_S2_S3)
ANALYTIC_VALUE=0.0_DP
CASE DEFAULT
localError="The global derivative index of "//TRIM(NumberToVString( &
& DOMAIN_NODES%NODES(node_idx)%DERIVATIVES(deriv_idx)%GLOBAL_DERIVATIVE_INDEX,"*", &
& err,error))//" is invalid."
CALL FlagError(localError,err,error,*999)
END SELECT
CASE(FIELD_DELUDELN_VARIABLE_TYPE)
SELECT CASE(DOMAIN_NODES%NODES(node_idx)%DERIVATIVES(deriv_idx)%GLOBAL_DERIVATIVE_INDEX)
CASE(NO_GLOBAL_DERIV)
IF ((ABS(X(1)-LENGTH) < GEOMETRIC_TOL) .AND. (ABS(X(2)-0.0_DP) < GEOMETRIC_TOL) .AND. &
(ABS(X(3)-0.0_DP) < GEOMETRIC_TOL)) THEN
SET_BC = .TRUE.
BC_VALUE=-FORCE_Z
ENDIF
ANALYTIC_VALUE=0.0_DP
CASE(GLOBAL_DERIV_S1)