elasticity, plasticity, internal microstructure state More...

Functions/Subroutines
subroutine, public	constitutive_init
	allocates arrays pointing to array of the various constitutive modules More...

real(preal) function, dimension(6, 6), public	constitutive_homogenizedc (ipc, ip, el)
	returns the homogenize elasticity matrix ToDo: homogenizedC66 would be more consistent More...

subroutine, public	constitutive_dependentstate (F, Fp, ipc, ip, el)
	calls microstructure function of the different constitutive models More...

subroutine, public	constitutive_lpanditstangents (Lp, dLp_dS, dLp_dFi, S, Fi, ipc, ip, el)
	contains the constitutive equation for calculating the velocity gradient More...

subroutine, public	constitutive_lianditstangents (Li, dLi_dS, dLi_dFi, S, Fi, ipc, ip, el)
	contains the constitutive equation for calculating the velocity gradient More...

pure real(preal) function, dimension(3, 3), public	constitutive_initialfi (ipc, ip, el)
	collects initial intermediate deformation gradient More...

subroutine, public	constitutive_sanditstangents (S, dS_dFe, dS_dFi, Fe, Fi, ipc, ip, el)
	returns the 2nd Piola-Kirchhoff stress tensor and its tangent with respect to the elastic/intermediate deformation gradients depending on the selected elastic law (so far no case switch because only Hooke is implemented) More...

subroutine	constitutive_hooke_sanditstangents (S, dS_dFe, dS_dFi, Fe, Fi, ipc, ip, el)
	returns the 2nd Piola-Kirchhoff stress tensor and its tangent with respect to the elastic and intermeidate deformation gradients using Hookes law More...

subroutine, public	constitutive_collectdotstate (S, FArray, Fi, FpArray, subdt, ipc, ip, el)
	contains the constitutive equation for calculating the rate of change of microstructure More...

subroutine, public	constitutive_collectdeltastate (S, Fe, Fi, ipc, ip, el)
	for constitutive models having an instantaneous change of state will return false if delta state is not needed/supported by the constitutive model More...

subroutine, public	constitutive_results
	writes constitutive results to HDF5 output file More...

Variables
integer, public, protected	constitutive_plasticity_maxsizedotstate

integer, public, protected	constitutive_source_maxsizedotstate

Detailed Description

elasticity, plasticity, internal microstructure state

Author: Franz Roters, Max-Planck-Institut für Eisenforschung GmbH; Philip Eisenlohr, Max-Planck-Institut für Eisenforschung GmbH

Function/Subroutine Documentation

◆ constitutive_collectdeltastate()

subroutine, public constitutive::constitutive_collectdeltastate	(	real(preal), dimension(3,3), intent(in)	S,
		real(preal), dimension(3,3), intent(in)	Fe,
		real(preal), dimension(3,3), intent(in)	Fi,
		integer, intent(in)	ipc,
		integer, intent(in)	ip,
		integer, intent(in)	el
	)

for constitutive models having an instantaneous change of state will return false if delta state is not needed/supported by the constitutive model

Parameters

[in]	el	element
[in]	fi	intermediate deformation gradient

Parameters

S	2nd Piola Kirchhoff stress
Fe	elastic deformation gradient
ipc	component-ID of integration point
ip	integration point

Definition at line 796 of file constitutive.f90.

References material::material_phaseat, material::material_phasememberat, material::phase_nsources, material::phase_plasticity, material::phase_plasticityinstance, material::phase_source, material::plasticity_kinehardening_id, material::plasticity_nonlocal_id, source_damage_isobrittle::source_damage_isobrittle_deltastate(), and material::source_damage_isobrittle_id.

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◆ constitutive_collectdotstate()

subroutine, public constitutive::constitutive_collectdotstate	(	real(preal), dimension(3,3), intent(in)	S,
		real(preal), dimension(3,3,homogenization_maxngrains,discretization_nip,discretization_nelem), intent(in)	FArray,
		real(preal), dimension(3,3), intent(in)	Fi,
		real(preal), dimension(3,3,homogenization_maxngrains,discretization_nip,discretization_nelem), intent(in)	FpArray,
		real(preal), intent(in)	subdt,
		integer, intent(in)	ipc,
		integer, intent(in)	ip,
		integer, intent(in)	el
	)

contains the constitutive equation for calculating the rate of change of microstructure

Parameters

[in]	el	element
[in]	subdt	timestep
[in]	fparray	plastic deformation gradient
[in]	fi	intermediate deformation gradient
[in]	s	2nd Piola Kirchhoff stress (vector notation)

Parameters

FArray	elastic deformation gradient
ipc	component-ID of integration point
ip	integration point

Definition at line 717 of file constitutive.f90.

References material::material_homogenizationat, material::material_phaseat, material::material_phasememberat, material::phase_nsources, material::phase_plasticity, material::phase_plasticityinstance, material::phase_source, material::plasticity_dislotwin_id, material::plasticity_disloucla_id, material::plasticity_isotropic_id, material::plasticity_kinehardening_id, material::plasticity_nonlocal_id, material::plasticity_phenopowerlaw_id, source_damage_anisobrittle::source_damage_anisobrittle_dotstate(), material::source_damage_anisobrittle_id, source_damage_anisoductile::source_damage_anisoductile_dotstate(), material::source_damage_anisoductile_id, source_damage_isoductile::source_damage_isoductile_dotstate(), material::source_damage_isoductile_id, source_thermal_externalheat::source_thermal_externalheat_dotstate(), material::source_thermal_externalheat_id, material::temperature, and material::thermalmapping.

Referenced by crystallite::integratestatefpi().

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◆ constitutive_dependentstate()

subroutine, public constitutive::constitutive_dependentstate	(	real(preal), dimension(3,3), intent(in)	F,
		real(preal), dimension(3,3), intent(in)	Fp,
		integer, intent(in)	ipc,
		integer, intent(in)	ip,
		integer, intent(in)	el
	)

calls microstructure function of the different constitutive models

Parameters

[in]	el	element
[in]	fp	plastic deformation gradient

Parameters

F	elastic deformation gradient
ipc	component-ID of integration point
ip	integration point

Definition at line 425 of file constitutive.f90.

References material::material_homogenizationat, material::material_phaseat, material::material_phasememberat, material::phase_plasticity, material::phase_plasticityinstance, material::plasticity_dislotwin_id, material::plasticity_disloucla_id, material::plasticity_nonlocal_id, material::temperature, and material::thermalmapping.

Referenced by crystallite::crystallite_init(), and crystallite::integratestatefpi().

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◆ constitutive_homogenizedc()

real(preal) function, dimension(6,6), public constitutive::constitutive_homogenizedc	(	integer, intent(in)	ipc,
		integer, intent(in)	ip,
		integer, intent(in)	el
	)

returns the homogenize elasticity matrix ToDo: homogenizedC66 would be more consistent

Parameters

[in] el element

Parameters

ipc	component-ID of integration point
ip	integration point

Definition at line 404 of file constitutive.f90.

References lattice::lattice_c66, material::material_phaseat, material::phase_plasticity, and material::plasticity_dislotwin_id.

◆ constitutive_hooke_sanditstangents()

subroutine constitutive::constitutive_hooke_sanditstangents	(	real(preal), dimension(3,3), intent(out)	S,
		real(preal), dimension(3,3,3,3), intent(out)	dS_dFe,
		real(preal), dimension(3,3,3,3), intent(out)	dS_dFi,
		real(preal), dimension(3,3), intent(in)	Fe,
		real(preal), dimension(3,3), intent(in)	Fi,
		integer, intent(in)	ipc,
		integer, intent(in)	ip,
		integer, intent(in)	el
	)

private

returns the 2nd Piola-Kirchhoff stress tensor and its tangent with respect to the elastic and intermeidate deformation gradients using Hookes law

Parameters

[in]	el	element
[in]	fi	intermediate deformation gradient
[out]	s	2nd Piola-Kirchhoff stress tensor in lattice configuration
[out]	ds_dfi	derivative of 2nd P-K stress with respect to intermediate deformation gradient

Parameters

dS_dFe	derivative of 2nd P-K stress with respect to elastic deformation gradient
Fe	elastic deformation gradient
ipc	component-ID of integration point
ip	integration point

Definition at line 671 of file constitutive.f90.

References material::damage, material::damagemapping, material::material_homogenizationat, material::material_phaseat, math::math_66tosym3333(), math::math_i3, math::math_mul3333xx33(), material::phase_nstiffnessdegradations, material::phase_stiffnessdegradation, and material::stiffness_degradation_damage_id.

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◆ constitutive_init()

subroutine, public constitutive::constitutive_init

allocates arrays pointing to array of the various constitutive modules

Definition at line 344 of file constitutive.f90.

References geometry_plastic_nonlocal::geometry_plastic_nonlocal_disable(), material::kinematics_cleavage_opening_id, kinematics_cleavage_opening::kinematics_cleavage_opening_init(), material::kinematics_slipplane_opening_id, kinematics_slipplane_opening::kinematics_slipplane_opening_init(), material::kinematics_thermal_expansion_id, kinematics_thermal_expansion::kinematics_thermal_expansion_init(), material::material_nphase, material::phase_kinematics, material::phase_nsources, material::phase_plasticity, material::phase_source, material::plasticity_dislotwin_id, material::plasticity_disloucla_id, material::plasticity_isotropic_id, material::plasticity_kinehardening_id, material::plasticity_none_id, material::plasticity_nonlocal_id, material::plasticity_phenopowerlaw_id, material::plasticstate, material::source_damage_anisobrittle_id, source_damage_anisobrittle::source_damage_anisobrittle_init(), material::source_damage_anisoductile_id, source_damage_anisoductile::source_damage_anisoductile_init(), material::source_damage_isobrittle_id, source_damage_isobrittle::source_damage_isobrittle_init(), material::source_damage_isoductile_id, source_damage_isoductile::source_damage_isoductile_init(), material::source_thermal_dissipation_id, source_thermal_dissipation::source_thermal_dissipation_init(), material::source_thermal_externalheat_id, source_thermal_externalheat::source_thermal_externalheat_init(), and material::sourcestate.

Referenced by cpfem2::cpfem_initall().

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◆ constitutive_initialfi()

pure real(preal) function, dimension(3,3), public constitutive::constitutive_initialfi	(	integer, intent(in)	ipc,
		integer, intent(in)	ip,
		integer, intent(in)	el
	)

collects initial intermediate deformation gradient

Parameters

[in] el element

Returns: composite initial intermediate deformation gradient

Parameters

ipc	component-ID of integration point
ip	integration point

Definition at line 610 of file constitutive.f90.

References material::kinematics_thermal_expansion_id, kinematics_thermal_expansion::kinematics_thermal_expansion_initialstrain(), material::material_homogenizationat, material::material_phaseat, math::math_i3, material::phase_kinematics, material::phase_nkinematics, and material::thermalmapping.

Referenced by crystallite::crystallite_init().

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◆ constitutive_lianditstangents()

subroutine, public constitutive::constitutive_lianditstangents	(	real(preal), dimension(3,3), intent(out)	Li,
		real(preal), dimension(3,3,3,3), intent(out)	dLi_dS,
		real(preal), dimension(3,3,3,3), intent(out)	dLi_dFi,
		real(preal), dimension(3,3), intent(in)	S,
		real(preal), dimension(3,3), intent(in)	Fi,
		integer, intent(in)	ipc,
		integer, intent(in)	ip,
		integer, intent(in)	el
	)

contains the constitutive equation for calculating the velocity gradient

Parameters

[in]	el	element
[in]	s	2nd Piola-Kirchhoff stress
[in]	fi	intermediate deformation gradient
[out]	li	intermediate velocity gradient

Parameters

dLi_dS	derivative of Li with respect to S
ipc	component-ID of integration point
ip	integration point

Definition at line 532 of file constitutive.f90.

References material::kinematics_cleavage_opening_id, kinematics_cleavage_opening::kinematics_cleavage_opening_lianditstangent(), material::kinematics_slipplane_opening_id, kinematics_slipplane_opening::kinematics_slipplane_opening_lianditstangent(), material::kinematics_thermal_expansion_id, kinematics_thermal_expansion::kinematics_thermal_expansion_lianditstangent(), material::material_phaseat, material::material_phasememberat, math::math_det33(), math::math_i3, math::math_inv33(), material::phase_kinematics, material::phase_nkinematics, material::phase_plasticity, material::phase_plasticityinstance, and material::plasticity_isotropic_id.

Referenced by crystallite::crystallite_stresstangent(), and crystallite::integratestress().

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◆ constitutive_lpanditstangents()

subroutine, public constitutive::constitutive_lpanditstangents	(	real(preal), dimension(3,3), intent(out)	Lp,
		real(preal), dimension(3,3,3,3), intent(out)	dLp_dS,
		real(preal), dimension(3,3,3,3), intent(out)	dLp_dFi,
		real(preal), dimension(3,3), intent(in)	S,
		real(preal), dimension(3,3), intent(in)	Fi,
		integer, intent(in)	ipc,
		integer, intent(in)	ip,
		integer, intent(in)	el
	)

contains the constitutive equation for calculating the velocity gradient

Parameters

[in]	el	element
[in]	fi	intermediate deformation gradient
[out]	lp	plastic velocity gradient
[out]	dlp_dfi	derivative of Lp with respect to Fi

Parameters

S	2nd Piola-Kirchhoff stress
ipc	component-ID of integration point
ip	integration point

Definition at line 462 of file constitutive.f90.

References material::material_homogenizationat, material::material_phaseat, material::material_phasememberat, material::phase_plasticity, material::phase_plasticityinstance, material::plasticity_dislotwin_id, material::plasticity_disloucla_id, material::plasticity_isotropic_id, material::plasticity_kinehardening_id, material::plasticity_none_id, material::plasticity_nonlocal_id, material::plasticity_phenopowerlaw_id, material::temperature, and material::thermalmapping.

Referenced by crystallite::crystallite_stresstangent(), and crystallite::integratestress().

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◆ constitutive_results()

subroutine, public constitutive::constitutive_results

writes constitutive results to HDF5 output file

Definition at line 844 of file constitutive.f90.

References config::config_name_phase, material::phase_plasticity, material::phase_plasticityinstance, material::plasticity_dislotwin_id, material::plasticity_disloucla_id, material::plasticity_isotropic_id, material::plasticity_kinehardening_id, material::plasticity_nonlocal_id, material::plasticity_phenopowerlaw_id, results::results_addgroup(), and results::results_closegroup().

Referenced by cpfem2::cpfem_results().

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◆ constitutive_sanditstangents()

subroutine, public constitutive::constitutive_sanditstangents	(	real(preal), dimension(3,3), intent(out)	S,
		real(preal), dimension(3,3,3,3), intent(out)	dS_dFe,
		real(preal), dimension(3,3,3,3), intent(out)	dS_dFi,
		real(preal), dimension(3,3), intent(in)	Fe,
		real(preal), dimension(3,3), intent(in)	Fi,
		integer, intent(in)	ipc,
		integer, intent(in)	ip,
		integer, intent(in)	el
	)

returns the 2nd Piola-Kirchhoff stress tensor and its tangent with respect to the elastic/intermediate deformation gradients depending on the selected elastic law (so far no case switch because only Hooke is implemented)

Parameters

[in]	el	element
[in]	fi	intermediate deformation gradient
[out]	s	2nd Piola-Kirchhoff stress tensor
[out]	ds_dfi	derivative of 2nd P-K stress with respect to intermediate deformation gradient

Parameters

dS_dFe	derivative of 2nd P-K stress with respect to elastic deformation gradient
Fe	elastic deformation gradient
ipc	component-ID of integration point
ip	integration point

Definition at line 645 of file constitutive.f90.

Referenced by crystallite::crystallite_stresstangent(), and crystallite::integratestress().

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Variable Documentation

◆ constitutive_plasticity_maxsizedotstate

integer, public, protected constitutive::constitutive_plasticity_maxsizedotstate

Definition at line 36 of file constitutive.f90.

◆ constitutive_source_maxsizedotstate

integer, public, protected constitutive::constitutive_source_maxsizedotstate

Definition at line 36 of file constitutive.f90.

Functions/Subroutines

Variables

Detailed Description

Function/Subroutine Documentation

◆ constitutive_collectdeltastate()

◆ constitutive_collectdotstate()

◆ constitutive_dependentstate()

◆ constitutive_homogenizedc()

◆ constitutive_hooke_sanditstangents()

◆ constitutive_init()

◆ constitutive_initialfi()

◆ constitutive_lianditstangents()

◆ constitutive_lpanditstangents()

◆ constitutive_results()

◆ constitutive_sanditstangents()

Variable Documentation

◆ constitutive_plasticity_maxsizedotstate

◆ constitutive_source_maxsizedotstate