This module provides functions for hyperelastic calculation. More...

Functions/Subroutines
subroutine	cderiv (matl, sectType, ctn, itn, inv1b, inv2b, inv3b, dibdc, d2ibdc2, strain, direction, inv4b, dibdc_ani, d2ibdc2_ani)
	This subroutine calculates derivative of the invariant with respect to Cauchy-Green tensor. More...

subroutine	cderiv_aniso (ctn, inv3, didc_3, d2idc2_3, direction, inv4b, dibdc_ani, d2ibdc2_ani)
	This subroutine calculates derivative of the 4th reduced invariant I4 with respect to Cauchy-Green tensor where I4 = I_3^{-1/3}a_iC_{ij}*a_j and a_i = direc(i). More...

subroutine	calelasticarrudaboyce (matl, sectType, cijkl, strain)
	This subroutine provides elastic tangent coefficient for Arruda-Boyce hyperelastic material. More...

subroutine	calupdateelasticarrudaboyce (matl, sectType, dstrain, dstress)
	This subroutine provides to update stress and strain for Arrude-Royce material. More...

subroutine	calelasticmooneyrivlin (matl, sectType, cijkl, strain, hdflag)
	This subroutine provides elastic tangent coefficient for Mooney-Rivlin hyperelastic material. More...

subroutine	calupdateelasticmooneyrivlin (matl, sectType, strain, stress, strain_energy, hdflag)
	This subroutine provides to update stress and strain for Mooney-Rivlin material. More...

subroutine	calelasticmooneyrivlinaniso (matl, sectType, cijkl, strain, cdsys, hdflag)
	This subroutine provides elastic tangent coefficient for anisotropic Mooney-Rivlin hyperelastic material. More...

subroutine	calupdateelasticmooneyrivlinaniso (matl, sectType, strain, stress, cdsys, hdflag)
	This subroutine provides to update stress and strain for anisotropic Mooney-Rivlin material. More...

Detailed Description

This module provides functions for hyperelastic calculation.

Function/Subroutine Documentation

◆ calelasticarrudaboyce()

subroutine mhyperelastic::calelasticarrudaboyce	(	type( tmaterial ), intent(in)	matl,
		integer, intent(in)	sectType,
		real(kind=kreal), dimension(3,3,3,3), intent(out)	cijkl,
		real(kind=kreal), dimension(6), intent(in)	strain
	)

This subroutine provides elastic tangent coefficient for Arruda-Boyce hyperelastic material.

Parameters

[in]	matl	material rpoperties
[in]	secttype	not used currently
[out]	cijkl	constitutive relation
[in]	strain	Cauchy-Lagrange strain tensor

Definition at line 198 of file Hyperelastic.f90.

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◆ calelasticmooneyrivlin()

subroutine mhyperelastic::calelasticmooneyrivlin	(	type( tmaterial ), intent(in)	matl,
		integer, intent(in)	sectType,
		real(kind=kreal), dimension(3,3,3,3), intent(out)	cijkl,
		real(kind=kreal), dimension(6), intent(in)	strain,
		integer(kind=kint), intent(in), optional	hdflag
	)

This subroutine provides elastic tangent coefficient for Mooney-Rivlin hyperelastic material.

Parameters

[in]	matl	material rpoperties
[in]	secttype	not used curr
[out]	cijkl	constitutive relation
[in]	strain	Cauchy-Lagrange strain tensor

Definition at line 287 of file Hyperelastic.f90.

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◆ calelasticmooneyrivlinaniso()

subroutine mhyperelastic::calelasticmooneyrivlinaniso	(	type( tmaterial ), intent(in)	matl,
		integer, intent(in)	sectType,
		real(kind=kreal), dimension(3,3,3,3), intent(out)	cijkl,
		real(kind=kreal), dimension(6), intent(in)	strain,
		real(kind=kreal), dimension(3,3), intent(in)	cdsys,
		integer(kind=kint), intent(in), optional	hdflag
	)

This subroutine provides elastic tangent coefficient for anisotropic Mooney-Rivlin hyperelastic material.

Parameters

[in]	matl	material rpoperties
[in]	secttype	not used curr
[out]	cijkl	constitutive relation
[in]	strain	Cauchy-Lagrange strain tensor

Definition at line 387 of file Hyperelastic.f90.

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◆ calupdateelasticarrudaboyce()

subroutine mhyperelastic::calupdateelasticarrudaboyce	(	type( tmaterial ), intent(in)	matl,
		integer, intent(in)	sectType,
		real(kind=kreal), dimension(6), intent(in)	dstrain,
		real(kind=kreal), dimension(6), intent(out)	dstress
	)

This subroutine provides to update stress and strain for Arrude-Royce material.

Definition at line 242 of file Hyperelastic.f90.

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◆ calupdateelasticmooneyrivlin()

subroutine mhyperelastic::calupdateelasticmooneyrivlin	(	type( tmaterial ), intent(in)	matl,
		integer, intent(in)	sectType,
		real(kind=kreal), dimension(6), intent(in)	strain,
		real(kind=kreal), dimension(6), intent(out)	stress,
		real(kind=kreal), intent(out)	strain_energy,
		integer(kind=kint), intent(in), optional	hdflag
	)

This subroutine provides to update stress and strain for Mooney-Rivlin material.

Parameters

[in]	matl	material properties
[in]	secttype	not used currently
[out]	stress	2nd Piola-Kirchhoff stress
[in]	strain	Green-Lagrangen strain
[out]	strain_energy	strain energy

Definition at line 334 of file Hyperelastic.f90.

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◆ calupdateelasticmooneyrivlinaniso()

subroutine mhyperelastic::calupdateelasticmooneyrivlinaniso	(	type( tmaterial ), intent(in)	matl,
		integer, intent(in)	sectType,
		real(kind=kreal), dimension(6), intent(in)	strain,
		real(kind=kreal), dimension(6), intent(out)	stress,
		real(kind=kreal), dimension(3,3), intent(in)	cdsys,
		integer(kind=kint), intent(in), optional	hdflag
	)

This subroutine provides to update stress and strain for anisotropic Mooney-Rivlin material.

Parameters

[in]	matl	material properties
[in]	secttype	not used currently
[out]	stress	2nd Piola-Kirchhoff stress
[in]	strain	Green-Lagrangen strain

Definition at line 440 of file Hyperelastic.f90.

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◆ cderiv()

subroutine mhyperelastic::cderiv	(	type( tmaterial ), intent(in)	matl,
		integer, intent(in)	sectType,
		real(kind=kreal), dimension(3,3), intent(out)	ctn,
		real(kind=kreal), dimension(3,3), intent(out)	itn,
		real(kind=kreal), intent(out)	inv1b,
		real(kind=kreal), intent(out)	inv2b,
		real(kind=kreal), intent(out)	inv3b,
		real(kind=kreal), dimension(3,3,3), intent(out)	dibdc,
		real(kind=kreal), dimension(3,3,3,3,3), intent(out)	d2ibdc2,
		real(kind=kreal), dimension(6), intent(in)	strain,
		real(kind=kreal), dimension(3), intent(in), optional	direction,
		real(kind=kreal), intent(out), optional	inv4b,
		real(kind=kreal), dimension(3,3), intent(out), optional	dibdc_ani,
		real(kind=kreal), dimension(3,3,3,3), intent(out), optional	d2ibdc2_ani
	)

This subroutine calculates derivative of the invariant with respect to Cauchy-Green tensor.

Parameters

[in]	matl	material rpoperties
[in]	secttype	not used currently
[out]	inv1b	invariants
[out]	inv2b	invariants
[out]	inv3b	invariants
[out]	dibdc	derivative of the invariant with respect to c(i,j)
[out]	d2ibdc2	derivative of the invariant with respect to c(i,j)
[in]	strain	Cauchy-Lagrange strain tensor
[out]	ctn	right Cauchy-Green deformation tensor
[out]	itn	identity tensor
[in]	direction	direction vector of anisotropic materials
[out]	inv4b	invariants
[out]	dibdc_ani	derivative of the 4th anisotropic invariant
[out]	d2ibdc2_ani	2nd derivative of the 4th anisotropic invariant

Definition at line 16 of file Hyperelastic.f90.

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◆ cderiv_aniso()

subroutine mhyperelastic::cderiv_aniso	(	real(kind=kreal), dimension(3,3), intent(in)	ctn,
		real(kind=kreal), intent(in)	inv3,
		real(kind=kreal), dimension(3,3), intent(in)	didc_3,
		real(kind=kreal), dimension(3,3,3,3), intent(in)	d2idc2_3,
		real(kind=kreal), dimension(3), intent(in)	direction,
		real(kind=kreal), intent(out)	inv4b,
		real(kind=kreal), dimension(3,3), intent(out)	dibdc_ani,
		real(kind=kreal), dimension(3,3,3,3), intent(out)	d2ibdc2_ani
	)

This subroutine calculates derivative of the 4th reduced invariant I4 with respect to Cauchy-Green tensor where I4 = I_3^{-1/3}*a_i*C_{ij}*a_j and a_i = direc(i).

Parameters

[in]	ctn	right Cauchy-Green deformation tensor
[in]	inv3	3rd invariants
[in]	didc_3	derivative of the 3rd invariant with respect to c(i,j)
[in]	d2idc2_3	derivative of the 3rd invariant with respect to c(i,j)
[in]	direction	direction vector of anisotropic materials
[out]	inv4b	4th reduced invariant I4
[out]	dibdc_ani	derivative of the 4th anisotropic invariant
[out]	d2ibdc2_ani	2nd derivative of the 4th anisotropic invariant

Definition at line 143 of file Hyperelastic.f90.

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Functions/Subroutines

Detailed Description

Function/Subroutine Documentation

◆ calelasticarrudaboyce()

◆ calelasticmooneyrivlin()

◆ calelasticmooneyrivlinaniso()

◆ calupdateelasticarrudaboyce()

◆ calupdateelasticmooneyrivlin()

◆ calupdateelasticmooneyrivlinaniso()

◆ cderiv()

◆ cderiv_aniso()