Detailed Description

template<short_t dim, class T>
class gismo::gsMaterialMatrixBaseDim< dim, T >

This class defines the base class for material matrices.

Template Parameters

T Real type

Inheritance diagram for gsMaterialMatrixBaseDim< dim, T >:

Collaboration diagram for gsMaterialMatrixBaseDim< dim, T >:

Public Types
typedef memory::shared_ptr < gsMaterialMatrixBase >	Ptr
	Shared pointer for gsGeometry.

typedef memory::unique_ptr < gsMaterialMatrixBase >	uPtr
	Unique pointer for gsGeometry.

Public Member Functions
void	_computeMetricDeformed (const index_t patch, const gsMatrix< T > &u) const
	Computes metric quantities on the deformed geometry.

void	_computeMetricUndeformed (const index_t patch, const gsMatrix< T > &u) const
	Computes metric quantities on the undeformed geometry.

void	_computePStrain (const gsMatrix< T > &C) const
	Computes the stretch given deformation tensor C, into class members m_stretches and m_stretchDirs.

void	_computePStress (const gsMatrix< T > &C) const
	Computes the principal stresses of a given stress tensor S, into class members m_pstress and m_pstressvec.

void	_computeStretch (const gsMatrix< T > &C, const gsMatrix< T > &gcon_ori) const
	Computes the stretch given deformation tensor C, into class members m_stretches and m_stretchDirs.

std::pair< gsVector< T > , gsMatrix< T > >	_evalPStrain (const gsMatrix< T > &C) const
	Computes the principal strain given deformation tensor C, into a pair.

std::pair< gsVector< T > , gsMatrix< T > >	_evalPStress (const gsMatrix< T > &S) const
	Computes the principal stress given stress tensor S, into a pair.

std::pair< gsVector< T > , gsMatrix< T > >	_evalStretch (const gsMatrix< T > &C, const gsMatrix< T > &gcon_ori) const
	Computes the stretch given deformation tensor C, into a pair.

gsMatrix< T >	_getAcon_def (index_t k, T z) const
	Returns the contravariant a tensor on the deformed geometry.

gsMatrix< T >	_getacon_def (index_t k, T z) const
	Returns the contravariant basis vector a on the deformed geometry.

gsMatrix< T >	_getAcon_ori (index_t k, T z) const
	Returns the contravariant a tensor on the original geometry.

gsMatrix< T >	_getacon_ori (index_t k, T z) const
	Returns the contravariant basis vector a on the original geometry.

gsMatrix< T >	_getAcov_def (index_t k, T z) const
	Returns the covariant a tensor on the deformed geometry.

gsMatrix< T >	_getacov_def (index_t k, T z) const
	Returns the covariant basis vector a on the deformed geometry.

gsMatrix< T >	_getAcov_ori (index_t k, T z) const
	Returns the covariant a tensor on the original geometry.

gsMatrix< T >	_getacov_ori (index_t k, T z) const
	Returns the covariant basis vector a on the original geometry.

gsMatrix< T >	_getBcov_def (index_t k, T z) const
	Returns the covariant b tensor on the deformed geometry.

gsMatrix< T >	_getBcov_ori (index_t k, T z) const
	Returns the covariant b tensor on the original geometry.

gsMatrix< T >	_getGcon_def (index_t k, T z) const
	Returns the contravariant metric tensor on the deformed geometry.

gsMatrix< T >	_getgcon_def (index_t k, T z) const
	Returns the contravariant basis vector g on the deformed geometry.

gsMatrix< T >	_getGcon_ori (index_t k, T z) const
	Returns the contravariant metric tensor on the original geometry.

gsMatrix< T >	_getgcon_ori (index_t k, T z) const
	Returns the contravariant basis vector g on the original geometry.

gsMatrix< T >	_getGcov_def (index_t k, T z) const
	Returns the covariant metric tensor on the deformed geometry.

gsMatrix< T >	_getgcov_def (index_t k, T z) const
	Returns the covariant basis vector g on the deformed geometry.

gsMatrix< T >	_getGcov_ori (index_t k, T z) const
	Returns the covariant metric tensor on the original geometry.

gsMatrix< T >	_getgcov_ori (index_t k, T z) const
	Returns the covariant basis vector g on the original geometry.

void	_getMetric (const index_t k, const T z) const
	Gets metric quantities on the deformed and undeformed geometries.

void	_getMetric (index_t k, T z, const gsMatrix< T > &C) const
	Gets metric quantities on the deformed and undeformed geometries.

void	_getMetricDeformed (const index_t k, const T z) const
	Gets metric quantities on the deformed geometry.

void	_getMetricUndeformed (const index_t k, const T z) const
	Gets metric quantities on the undeformed geometry.

gsMatrix< T >	_getncov_def (index_t k, T z) const
	Returns the covariant n tensor on the deformed geometry.

gsMatrix< T >	_getncov_ori (index_t k, T z) const
	Returns the covariant n tensor on the original geometry.

gsMatrix< T >	_transformation (const gsMatrix< T > &basis1, const gsMatrix< T > &basis2) const
	Computes the stretch given deformation tensor C, into class members m_stretches and m_stretchDirs.

virtual void	defaultOptions () override
	See gsMaterialMatrixBase for details.

virtual void	density_into (const index_t patch, const gsMatrix< T > &u, gsMatrix< T > &result) const override
	See gsMaterialMatrixBase for details.

virtual gsMatrix< T >	eval3D_CauchyStress (const index_t patch, const gsMatrix< T > &u, const gsMatrix< T > &z, enum MaterialOutput out) const
	{ function_description } More...

virtual gsMatrix< T >	eval3D_CauchyVector (const index_t patch, const gsMatrix< T > &u, const gsMatrix< T > &z, enum MaterialOutput out) const
	Evaluates the Cauchy Stress vector on patch on in-plane points u with height z. More...

virtual gsMatrix< T >	eval3D_con2cart (const index_t patch, const gsMatrix< T > &u, const gsMatrix< T > &z) const override
	See gsMaterialMatrixBase for details.

virtual gsMatrix< T >	eval3D_cov2cart (const index_t patch, const gsMatrix< T > &u, const gsMatrix< T > &z) const override
	See gsMaterialMatrixBase for details.

virtual gsMatrix< T >	eval3D_deformation (const index_t patch, const gsMatrix< T > &u, const gsMatrix< T > &z) const override
	See gsMaterialMatrixBase for details.

virtual gsMatrix< T >	eval3D_detF (const index_t patch, const gsMatrix< T > &u, const gsMatrix< T > &z, enum MaterialOutput out) const
	{ function_description } More...

virtual gsMatrix< T >	eval3D_dmatrix (const index_t patch, const gsMatrix< T > &u, const gsMatrix< T > &z, enum MaterialOutput out) const
	Evaluates the derivative of the matrix on patch on in-plane points u with height z. More...

virtual gsMatrix< T >	eval3D_matrix (const index_t patch, const gsMatrix< T > &u, const gsMatrix< T > &z, enum MaterialOutput out) const
	Evaluates the matrix on patch on in-plane points u with height z. More...

virtual gsMatrix< T >	eval3D_pstrain (const index_t patch, const gsMatrix< T > &u, const gsMatrix< T > &z) const override
	See gsMaterialMatrixBase for details.

virtual gsMatrix< T >	eval3D_pstress (const index_t patch, const gsMatrix< T > &u, const gsMatrix< T > &z, enum MaterialOutput out) const
	Evaluates the principal stress on patch on in-plane points u with height z. More...

virtual gsMatrix< T >	eval3D_pstressDir (const index_t patch, const gsMatrix< T > &u, const gsMatrix< T > &z, enum MaterialOutput out) const
	Evaluates the principal stress directions on patch on in-plane points u with height z. More...

virtual gsMatrix< T >	eval3D_pstressTransform (const index_t patch, const gsMatrix< T > &u, const gsMatrix< T > &z) const
	Provides the transformation of the principle stresses. More...

virtual gsMatrix< T >	eval3D_pstretch (const index_t patch, const gsMatrix< T > &u, const gsMatrix< T > &z) const override
	See gsMaterialMatrixBase for details.

virtual gsMatrix< T >	eval3D_pstretchDir (const index_t patch, const gsMatrix< T > &u, const gsMatrix< T > &z) const override
	See gsMaterialMatrixBase for details.

virtual gsMatrix< T >	eval3D_pstretchTransform (const index_t patch, const gsMatrix< T > &u, const gsMatrix< T > &z) const
	Provides the transformation of the principle stretches. More...

virtual gsMatrix< T >	eval3D_spec2con (const index_t patch, const gsMatrix< T > &u, const gsMatrix< T > &z) const override
	See gsMaterialMatrixBase for details.

virtual gsMatrix< T >	eval3D_spec2cov (const index_t patch, const gsMatrix< T > &u, const gsMatrix< T > &z) const override
	See gsMaterialMatrixBase for details.

virtual gsMatrix< T >	eval3D_strain (const index_t patch, const gsMatrix< T > &u, const gsMatrix< T > &z) const override
	See gsMaterialMatrixBase for details.

virtual gsMatrix< T >	eval3D_stress (const index_t patch, const gsMatrix< T > &u, const gsMatrix< T > &z, enum MaterialOutput out) const
	{ function_description } More...

virtual gsMatrix< T >	eval3D_tensionfield (const index_t patch, const gsMatrix< T > &u, const gsMatrix< T > &z, enum MaterialOutput out) const override
	See gsMaterialMatrixBase for details.

virtual gsMatrix< T >	eval3D_vector (const index_t patch, const gsMatrix< T > &u, const gsMatrix< T > &z, enum MaterialOutput out) const
	Evaluates the vector on patch on in-plane points u with height z. More...

virtual const function_ptr	getDensity () const
	Gets the Density.

virtual const function_ptr	getParameter (const index_t i) const
	Gets parameter i. More...

virtual const function_ptr	getThickness () const
	Gets the Density.

virtual bool	hasDensity () const
	Returns true if a density is assigned.

virtual bool	hasThickness () const
	Returns true if a thickness is assigned.

virtual void	info () const
	Prints info.

virtual enum MatIntegration	isMatIntegrated () const
	Specifies how the matrix is integrated. More...

virtual enum MatIntegration	isVecIntegrated () const
	Specifies how the vector is integrated. More...

virtual const gsMaterialMatrixBase< T > *	material () const
	Returns this.

virtual gsMaterialMatrixBase< T > *	material ()
	Returns this.

virtual index_t	numParameters () const
	Gets the number of parameters.

virtual gsOptionList &	options ()
	Returns the options. More...

virtual void	parameters_into (const index_t patch, const gsMatrix< T > &u, gsMatrix< T > &result) const override
	See gsMaterialMatrixBase for details.

virtual std::ostream &	print (std::ostream &os) const
	Prints the object as a string.

virtual void	pstress_into (const index_t patch, const gsMatrix< T > &u, gsMatrix< T > &result) const
	Evaluates the priciple stresses in the shell (3x1 vector) More...

virtual void	pstressDir_into (const index_t patch, const gsMatrix< T > &u, gsMatrix< T > &result) const
	Evaluates the directions of the priciple stresses in the shell (3x1 vector per direction) More...

virtual void	pstretch_into (const index_t patch, const gsMatrix< T > &u, gsMatrix< T > &result) const
	Evaluates the stretches in the shell (3x1 vector) More...

virtual void	pstretchDir_into (const index_t patch, const gsMatrix< T > &u, gsMatrix< T > &result) const
	Evaluates the directions of the stretches in the shell (3x1 vector per direction) More...

virtual void	resetParameters ()
	See gsMaterialMatrixBase for details.

virtual void	setDensity (function_ptr Density)
	Sets the density.

virtual void	setDensity (const gsFunctionSet< T > &Density)
	Sets the density.

virtual void	setOptions (gsOptionList opt)
	Sets the options. More...

virtual void	setParameter (const index_t i, const function_ptr &par)
	Sets the material parameters. More...

virtual void	setParameter (const index_t i, const gsFunctionSet< T > &par)
	Sets the material parameters. More...

virtual void	setParameters (const std::vector< function_ptr > &pars)
	Sets the material parameters. More...

virtual void	setParameters (const std::vector< gsFunctionSet< T > * > &pars)
	Sets the material parameters. More...

virtual void	setThickness (const function_ptr &thickness)
	Sets the thickness.

virtual void	setThickness (const gsFunctionSet< T > &thickness)
	Sets the thickness.

virtual void	thickness_into (const index_t patch, const gsMatrix< T > &u, gsMatrix< T > &result) const override
	See gsMaterialMatrixBase for details.

virtual void	transform_into (const index_t patch, const gsMatrix< T > &u, gsMatrix< T > &result) const
	Constructs a transformation matrix that transforms a quantity (IN VOIGHT NOTATION) in the spectral basis to the (undeformed) convariant basis. More...

virtual	~gsMaterialMatrixBaseDim ()
	Destructor.

Private Member Functions
template<short_t _dim>
std::enable_if< _dim==2, void > ::type	_computeMetricDeformed_impl (const index_t patch, const gsMatrix< T > &u) const
	Implementation of _computeMetricUndeformed for planar geometries. More...

template<short_t _dim>
std::enable_if< _dim==3, void > ::type	_computeMetricDeformed_impl (const index_t patch, const gsMatrix< T > &u) const
	Implementation of _computeMetricUndeformed for surface geometries.

template<short_t _dim>
std::enable_if< _dim==2, void > ::type	_computeMetricUndeformed_impl (const index_t patch, const gsMatrix< T > &u) const
	Implementation of _getMetric for planar geometries.

template<short_t _dim>
std::enable_if< _dim==3, void > ::type	_computeMetricUndeformed_impl (const index_t patch, const gsMatrix< T > &u) const
	Implementation of _getMetric for surface geometries.

template<short_t _dim>
std::enable_if< _dim==2, gsMatrix< T > >::type	_getBcov_def_impl (index_t k, T z) const
	Implementation of _getMetricUndeformed for planar geometries.

template<short_t _dim>
std::enable_if< _dim==3, gsMatrix< T > >::type	_getBcov_def_impl (index_t k, T z) const
	Implementation of _getMetricUndeformed for surface geometries.

template<short_t _dim>
std::enable_if< _dim==2, gsMatrix< T > >::type	_getBcov_ori_impl (index_t k, T z) const
	Implementation of _getMetricUndeformed for planar geometries.

template<short_t _dim>
std::enable_if< _dim==3, gsMatrix< T > >::type	_getBcov_ori_impl (index_t k, T z) const
	Implementation of _getMetricUndeformed for surface geometries.

template<short_t _dim>
std::enable_if< _dim==2, gsMatrix< T > >::type	_getGcon_def_impl (index_t k, T z) const
	Implementation of _getMetricUndeformed for planar geometries.

template<short_t _dim>
std::enable_if< _dim==3, gsMatrix< T > >::type	_getGcon_def_impl (index_t k, T z) const
	Implementation of _getMetricUndeformed for surface geometries.

template<short_t _dim>
std::enable_if< _dim==2, gsMatrix< T > >::type	_getGcon_ori_impl (index_t k, T z) const
	Implementation of _getMetricUndeformed for planar geometries.

template<short_t _dim>
std::enable_if< _dim==3, gsMatrix< T > >::type	_getGcon_ori_impl (index_t k, T z) const
	Implementation of _getMetricUndeformed for surface geometries.

template<short_t _dim>
std::enable_if< _dim==2, gsMatrix< T > >::type	_getGcov_def_impl (index_t k, T z) const
	Implementation of _getMetricUndeformed for planar geometries.

template<short_t _dim>
std::enable_if< _dim==3, gsMatrix< T > >::type	_getGcov_def_impl (index_t k, T z) const
	Implementation of _getMetricUndeformed for surface geometries.

template<short_t _dim>
std::enable_if< _dim==2, gsMatrix< T > >::type	_getgcov_def_impl (index_t k, T z) const
	Implementation of _getMetricUndeformed for planar geometries.

template<short_t _dim>
std::enable_if< _dim==3, gsMatrix< T > >::type	_getgcov_def_impl (index_t k, T z) const
	Implementation of _getMetricUndeformed for surface geometries.

template<short_t _dim>
std::enable_if< _dim==2, gsMatrix< T > >::type	_getGcov_ori_impl (index_t k, T z) const
	Implementation of _getMetricUndeformed for planar geometries.

template<short_t _dim>
std::enable_if< _dim==3, gsMatrix< T > >::type	_getGcov_ori_impl (index_t k, T z) const
	Implementation of _getMetricUndeformed for surface geometries.

template<short_t _dim>
std::enable_if< _dim==2, gsMatrix< T > >::type	_getgcov_ori_impl (index_t k, T z) const
	Implementation of _getMetricUndeformed for planar geometries.

template<short_t _dim>
std::enable_if< _dim==3, gsMatrix< T > >::type	_getgcov_ori_impl (index_t k, T z) const
	Implementation of _getMetricUndeformed for surface geometries.

template<short_t _dim>
std::enable_if< _dim==2, void > ::type	_getMetric_impl (const index_t k, const T z) const
	Implementation of _getMetricDeformed for planar geometries.

template<short_t _dim>
std::enable_if< _dim==2, void > ::type	_getMetricDeformed_impl (const index_t k, const T z) const
	Implementation of _getMetricDeformed for surface geometries.

template<short_t _dim>
std::enable_if< _dim==3, void > ::type	_getMetricDeformed_impl (const index_t k, const T z) const
	Implementation of _getMetricDeformed for surface geometries.

template<short_t _dim>
std::enable_if< _dim==2, void > ::type	_getMetricUndeformed_impl (const index_t k, const T z) const
	Implementation of _getMetricUndeformed for planar geometries.

template<short_t _dim>
std::enable_if< _dim==3, void > ::type	_getMetricUndeformed_impl (const index_t k, const T z) const
	Implementation of _getMetricUndeformed for surface geometries.

template<short_t _dim>
std::enable_if< _dim==2, gsMatrix< T > >::type	_getncov_def_impl (index_t k, T z) const
	Implementation of _getMetricUndeformed for planar geometries.

template<short_t _dim>
std::enable_if< _dim==3, gsMatrix< T > >::type	_getncov_def_impl (index_t k, T z) const
	Implementation of _getMetricUndeformed for surface geometries.

template<short_t _dim>
std::enable_if< _dim==2, gsMatrix< T > >::type	_getncov_ori_impl (index_t k, T z) const
	Implementation of _getMetricUndeformed for planar geometries.

template<short_t _dim>
std::enable_if< _dim==3, gsMatrix< T > >::type	_getncov_ori_impl (index_t k, T z) const
	Implementation of _getMetricUndeformed for surface geometries.

Member Function Documentation

std::enable_if< _dim==2, void >::type _computeMetricDeformed_impl	(	const index_t	patch,
		const gsMatrix< T > &	u
	)		const

private

Implementation of _computeMetricUndeformed for planar geometries.

SetZero does not work with gsThreaded?

virtual gsMatrix<T> eval3D_CauchyStress	(	const index_t	patch,
		const gsMatrix< T > &	u,
		const gsMatrix< T > &	z,
		enum MaterialOutput	out
	)		const

inlinevirtualinherited

{ function_description }

Parameters

[in]	patch	The patch
[in]	u	{ parameter_description }
[in]	z	{ parameter_description }
[in]	out	The out

Returns: { description_of_the_return_value }

Reimplemented in gsMaterialMatrixLinear< dim, T >, gsMaterialMatrixNonlinear< dim, T, matId, comp, mat, imp >, gsMaterialMatrixTFT< dim, T, linear >, and gsMaterialMatrixTFT< 2, T >.

virtual gsMatrix<T> eval3D_CauchyVector	(	const index_t	patch,
		const gsMatrix< T > &	u,
		const gsMatrix< T > &	z,
		enum MaterialOutput	out
	)		const

inlinevirtualinherited

Evaluates the Cauchy Stress vector on patch on in-plane points u with height z.

note: the Cauchy stress vector is returned in the actual basis

Parameters

[in]	patch	The patch
[in]	u	The in-plane shell coordinates to be eveluated on
[in]	z	The point through-thickness coorinate
[in]	out	(for classes with MatIntegration==Integrated, more details about MaterialOutput can be found in gsMaterialMatrixUtils)

Returns: Matrix with the result (vector) ordered per z coordinate per point [(u1,z1) (u2,z1) .. (un,z1), (u1,z2) .. (un,z2), .., (u1,zm) .. (un,zm)]

Reimplemented in gsMaterialMatrixLinear< dim, T >, and gsMaterialMatrixNonlinear< dim, T, matId, comp, mat, imp >.

virtual gsMatrix<T> eval3D_detF	(	const index_t	patch,
		const gsMatrix< T > &	u,
		const gsMatrix< T > &	z,
		enum MaterialOutput	out
	)		const

inlinevirtualinherited

{ function_description }

Parameters

[in]	patch	The patch
[in]	u	{ parameter_description }
[in]	z	{ parameter_description }
[in]	out	The out

Returns: { description_of_the_return_value }

Reimplemented in gsMaterialMatrixLinear< dim, T >, and gsMaterialMatrixNonlinear< dim, T, matId, comp, mat, imp >.

virtual gsMatrix<T> eval3D_dmatrix	(	const index_t	patch,
		const gsMatrix< T > &	u,
		const gsMatrix< T > &	z,
		enum MaterialOutput	out
	)		const

inlinevirtualinherited

Evaluates the derivative of the matrix on patch on in-plane points u with height z.

Parameters

[in]	patch	The patch
[in]	u	The in-plane shell coordinates to be eveluated on
[in]	z	The point through-thickness coorinate
[in]	out	(for classes with MatIntegration==Integrated, more details about MaterialOutput can be found in gsMaterialMatrixUtils)

Returns: Matrix with the result (matrix) ordered per z coordinate per point [(u1,z1) (u2,z1) .. (un,z1), (u1,z2) .. (un,z2), .., (u1,zm) .. (un,zm)] every column has 9*3=27 entries. To obtain the derivatives of C, one can do the following

dC = eval.reshapeCol(k,9,3); dCd11 = dC.reshapeCol(0,3,3); dCd22 = dC.reshapeCol(1,3,3); dCd11 = dC.reshapeCol(2,3,3);

Reimplemented in gsMaterialMatrixLinear< dim, T >, and gsMaterialMatrixNonlinear< dim, T, matId, comp, mat, imp >.

virtual gsMatrix<T> eval3D_matrix	(	const index_t	patch,
		const gsMatrix< T > &	u,
		const gsMatrix< T > &	z,
		enum MaterialOutput	out
	)		const

inlinevirtualinherited

Evaluates the matrix on patch on in-plane points u with height z.

Parameters

[in]	patch	The patch
[in]	u	The in-plane shell coordinates to be eveluated on
[in]	z	The point through-thickness coorinate
[in]	out	(for classes with MatIntegration==Integrated, more details about MaterialOutput can be found in gsMaterialMatrixUtils)

Returns: Matrix with the result (matrix) ordered per z coordinate per point [(u1,z1) (u2,z1) .. (un,z1), (u1,z2) .. (un,z2), .., (u1,zm) .. (un,zm)]

Reimplemented in gsMaterialMatrixLinear< dim, T >, gsMaterialMatrixNonlinear< dim, T, matId, comp, mat, imp >, gsMaterialMatrixTFT< dim, T, linear >, gsMaterialMatrixTFT< 2, T >, and gsMaterialMatrixComposite< dim, T >.

virtual gsMatrix<T> eval3D_pstress	(	const index_t	patch,
		const gsMatrix< T > &	u,
		const gsMatrix< T > &	z,
		enum MaterialOutput	out
	)		const

inlinevirtualinherited

Evaluates the principal stress on patch on in-plane points u with height z.

Parameters

[in]	patch	The patch
[in]	u	The in-plane shell coordinates to be eveluated on
[in]	z	The point through-thickness coorinate
[in]	out	(for classes with MatIntegration==Integrated, more details about MaterialOutput can be found in gsMaterialMatrixUtils)

Returns: Matrix with the result (principal stress) ordered per z coordinate per point [(u1,z1) (u2,z1) .. (un,z1), (u1,z2) .. (un,z2), .., (u1,zm) .. (un,zm)]

Reimplemented in gsMaterialMatrixLinear< dim, T >, gsMaterialMatrixNonlinear< dim, T, matId, comp, mat, imp >, gsMaterialMatrixTFT< dim, T, linear >, and gsMaterialMatrixTFT< 2, T >.

virtual gsMatrix<T> eval3D_pstressDir	(	const index_t	patch,
		const gsMatrix< T > &	u,
		const gsMatrix< T > &	z,
		enum MaterialOutput	out
	)		const

inlinevirtualinherited

Evaluates the principal stress directions on patch on in-plane points u with height z.

Parameters

[in]	patch	The patch
[in]	u	The in-plane shell coordinates to be eveluated on
[in]	z	The point through-thickness coorinate
[in]	out	(for classes with MatIntegration==Integrated, more details about MaterialOutput can be found in gsMaterialMatrixUtils)

Returns: Matrix with the result (principal stress directions) ordered per z coordinate per point [(u1,z1) (u2,z1) .. (un,z1), (u1,z2) .. (un,z2), .., (u1,zm) .. (un,zm)]

Reimplemented in gsMaterialMatrixLinear< dim, T >, and gsMaterialMatrixNonlinear< dim, T, matId, comp, mat, imp >.

virtual gsMatrix<T> eval3D_pstressTransform	(	const index_t	patch,
		const gsMatrix< T > &	u,
		const gsMatrix< T > &	z
	)		const

inlinevirtualinherited

Provides the transformation of the principle stresses.

Parameters

[in]	patch	The patch to be evaluated on
[in]	u	The in-plane shell coordinates to be eveluated on
[in]	z	The point through-thickness coorinate

Returns: Matrix with the result (deformation tensor) ordered per z coordinate per point [(u1,z1) (u2,z1) .. (un,z1), (u1,z2) .. (un,z2), .., (u1,zm) .. (un,zm)]

virtual gsMatrix<T> eval3D_pstretchTransform	(	const index_t	patch,
		const gsMatrix< T > &	u,
		const gsMatrix< T > &	z
	)		const

inlinevirtualinherited

Provides the transformation of the principle stretches.

Parameters

[in]	patch	The patch to be evaluated on
[in]	u	The in-plane shell coordinates to be eveluated on
[in]	z	The point through-thickness coorinate

Returns: Matrix with the result (deformation tensor) ordered per z coordinate per point [(u1,z1) (u2,z1) .. (un,z1), (u1,z2) .. (un,z2), .., (u1,zm) .. (un,zm)]

virtual gsMatrix<T> eval3D_stress	(	const index_t	patch,
		const gsMatrix< T > &	u,
		const gsMatrix< T > &	z,
		enum MaterialOutput	out
	)		const

inlinevirtualinherited

{ function_description }

Parameters

[in]	patch	The patch
[in]	u	{ parameter_description }
[in]	z	{ parameter_description }
[in]	out	The out

Returns: { description_of_the_return_value }

Reimplemented in gsMaterialMatrixLinear< dim, T >, gsMaterialMatrixNonlinear< dim, T, matId, comp, mat, imp >, gsMaterialMatrixTFT< dim, T, linear >, and gsMaterialMatrixTFT< 2, T >.

virtual gsMatrix<T> eval3D_vector	(	const index_t	patch,
		const gsMatrix< T > &	u,
		const gsMatrix< T > &	z,
		enum MaterialOutput	out
	)		const

inlinevirtualinherited

Evaluates the vector on patch on in-plane points u with height z.

Parameters

[in]	patch	The patch
[in]	u	The in-plane shell coordinates to be eveluated on
[in]	z	The point through-thickness coorinate
[in]	out	(for classes with MatIntegration==Integrated, more details about MaterialOutput can be found in gsMaterialMatrixUtils)

Returns: Matrix with the result (vector) ordered per z coordinate per point [(u1,z1) (u2,z1) .. (un,z1), (u1,z2) .. (un,z2), .., (u1,zm) .. (un,zm)]

Reimplemented in gsMaterialMatrixLinear< dim, T >, gsMaterialMatrixNonlinear< dim, T, matId, comp, mat, imp >, gsMaterialMatrixTFT< dim, T, linear >, gsMaterialMatrixTFT< 2, T >, and gsMaterialMatrixComposite< dim, T >.

virtual const function_ptr getParameter ( const index_t i ) const

inlinevirtualinherited

Gets parameter i.

Parameters

[in] i The parameter index

Returns: The parameter.

virtual enum MatIntegration isMatIntegrated ( ) const

inlinevirtualinherited

Specifies how the matrix is integrated.

Possible options to specify the integration of the matrix (see enum MatIntegration)

NotIntegrated The matrix is not integrated, hence the values of eval3D_matrix provide the through-thickness value for each z coordinate
Integrated The matrix is already integrated; the integrated values are returned for any z coordinate
Constant The matrix is constant over the thickness, but not yet integrated
Linear The matrix is linearly dependent of the thickness value, say a*z+b, hence the 0th moment w.r.t. z is a*t, the 1st moment is 1/2*b*t^2, etc.

Returns: Return MatIntegration enumeration

Reimplemented in gsMaterialMatrixLinear< dim, T >, gsMaterialMatrixNonlinear< dim, T, matId, comp, mat, imp >, gsMaterialMatrixTFT< dim, T, linear >, gsMaterialMatrixTFT< 2, T >, and gsMaterialMatrixComposite< dim, T >.

virtual enum MatIntegration isVecIntegrated ( ) const

inlinevirtualinherited

Specifies how the vector is integrated.

Possible options to specify the integration of the vector (see enum MatIntegration)

NotIntegrated The vector is not integrated, hence the values of eval3D_matrix provide the through-thickness value for each z coordinate
Integrated The vector is already integrated; the integrated values are returned for any z coordinate
Constant The vector is constant over the thickness, but not yet integrated
Linear The vector is linearly dependent of the thickness value, say a*z+b, hence the 0th moment w.r.t. z is a*t, the 1st moment is 1/2*b*t^2, etc.

Returns: Return MatIntegration enumeration

Reimplemented in gsMaterialMatrixLinear< dim, T >, gsMaterialMatrixNonlinear< dim, T, matId, comp, mat, imp >, gsMaterialMatrixTFT< dim, T, linear >, gsMaterialMatrixTFT< 2, T >, and gsMaterialMatrixComposite< dim, T >.

virtual gsOptionList& options ( )

inlinevirtualinherited

Returns the options.

Returns: gsOptionList

Reimplemented in gsMaterialMatrixComposite< dim, T >.

virtual void pstress_into	(	const index_t	patch,
		const gsMatrix< T > &	u,
		gsMatrix< T > &	result
	)		const

inlinevirtualinherited

Evaluates the priciple stresses in the shell (3x1 vector)

Parameters

[in]	patch	The patch to be evaluated on
[in]	u	The in-plane shell coordinates to be eveluated on
	result	The result

Reimplemented in gsMaterialMatrixComposite< dim, T >.

virtual void pstressDir_into	(	const index_t	patch,
		const gsMatrix< T > &	u,
		gsMatrix< T > &	result
	)		const

inlinevirtualinherited

Evaluates the directions of the priciple stresses in the shell (3x1 vector per direction)

Parameters

[in]	patch	The patch to be evaluated on
[in]	u	The in-plane shell coordinates to be eveluated on
	result	The result

Reimplemented in gsMaterialMatrixComposite< dim, T >.

virtual void pstretch_into	(	const index_t	patch,
		const gsMatrix< T > &	u,
		gsMatrix< T > &	result
	)		const

inlinevirtualinherited

Evaluates the stretches in the shell (3x1 vector)

Parameters

[in]	patch	The patch to be evaluated on
[in]	u	The in-plane shell coordinates to be eveluated on
	result	The result

Reimplemented in gsMaterialMatrixNonlinear< dim, T, matId, comp, mat, imp >, and gsMaterialMatrixComposite< dim, T >.

virtual void pstretchDir_into	(	const index_t	patch,
		const gsMatrix< T > &	u,
		gsMatrix< T > &	result
	)		const

inlinevirtualinherited

Evaluates the directions of the stretches in the shell (3x1 vector per direction)

Parameters

[in]	patch	The patch to be evaluated on
[in]	u	The in-plane shell coordinates to be eveluated on
	result	The result

Reimplemented in gsMaterialMatrixNonlinear< dim, T, matId, comp, mat, imp >, and gsMaterialMatrixComposite< dim, T >.

virtual void setOptions ( gsOptionList opt )

inlinevirtualinherited

Sets the options.

Parameters

[in] opt gsOptionList

Reimplemented in gsMaterialMatrixComposite< dim, T >.

virtual void setParameter	(	const index_t	i,
		const function_ptr &	par
	)

inlinevirtualinherited

Sets the material parameters.

Parameters

[in] pars Function pointers for the parameters in a container

virtual void setParameter	(	const index_t	i,
		const gsFunctionSet< T > &	par
	)

inlinevirtualinherited

Sets the material parameters.

Parameters

[in] pars Function pointers for the parameters in a container

virtual void setParameters ( const std::vector< function_ptr > & pars )

inlinevirtualinherited

Sets the material parameters.

Parameters

[in] pars Function pointers for the parameters in a container

virtual void setParameters ( const std::vector< gsFunctionSet< T > * > & pars )

inlinevirtualinherited

Sets the material parameters.

Parameters

[in] pars Function pointers for the parameters in a container

Reimplemented in gsMaterialMatrixTFT< dim, T, linear >, and gsMaterialMatrixTFT< 2, T >.

virtual void transform_into	(	const index_t	patch,
		const gsMatrix< T > &	u,
		gsMatrix< T > &	result
	)		const

inlinevirtualinherited

Constructs a transformation matrix that transforms a quantity (IN VOIGHT NOTATION) in the spectral basis to the (undeformed) convariant basis.

Parameters

[in]	patch	The patch to be evaluated on
[in]	u	The in-plane shell coordinates to be eveluated on
	result	The result

Reimplemented in gsMaterialMatrixComposite< dim, T >.

Detailed Description

template<short_t dim, class T> class gismo::gsMaterialMatrixBaseDim< dim, T >

Public Types

Public Member Functions

Private Member Functions

Member Function Documentation

template<short_t dim, class T>
class gismo::gsMaterialMatrixBaseDim< dim, T >