gsMaterialMatrixTFT< dim, T, linear > Class Template Reference

Detailed Description

template<short_t dim, class T, bool linear = false>
class gismo::gsMaterialMatrixTFT< dim, T, linear >

This class defines a linear material.

Template Parameters

dim	The dimension of the problem (2 = planar, 3 = surface)
T	Real type

Inheritance diagram for gsMaterialMatrixTFT< dim, T, linear >:

Collaboration diagram for gsMaterialMatrixTFT< dim, T, linear >:

Public Types
using	Base = gsMaterialMatrixBaseDim< dim, T >
	Base class.
typedef gsFunctionSet< T >::Ptr	function_ptr
	Shared pointer to a gsFunctionSet.
typedef gsMaterialMatrixBase < T >::Ptr	material_ptr
	Shared pointer to a gsMaterialMatrixBase.
typedef memory::shared_ptr < gsMaterialMatrixTFT >	Ptr
	Shared pointer for gsMaterialMatrixTFT.
typedef memory::unique_ptr < gsMaterialMatrixTFT >	uPtr
	Unique pointer for gsMaterialMatrixTFT.

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.
void	density_into (const index_t patch, const gsMatrix< T > &u, gsMatrix< T > &result) const override
	See gsMaterialMatrixBase for details.
gsMatrix< T >	eval3D_CauchyPStress (const index_t patch, const gsMatrix< T > &u, const gsMatrix< T > &z, enum MaterialOutput out) const override
	See gsMaterialMatrixBase for details.
gsMatrix< T >	eval3D_CauchyStress (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_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...
gsMatrix< T >	eval3D_gamma (const index_t patch, const gsMatrix< T > &u, const gsMatrix< T > &z, enum MaterialOutput out=MaterialOutput::Generic) const override
	See gsMaterialMatrixBase for details.
gsMatrix< T >	eval3D_matrix (const index_t patch, const gsMatrix< T > &u, const gsMatrix< T > &z, enum MaterialOutput out=MaterialOutput::Generic) const override
	See gsMaterialMatrixBase for details.
gsMatrix< T >	eval3D_pstrain (const index_t patch, const gsMatrix< T > &u, const gsMatrix< T > &z) const override
	See gsMaterialMatrixBase for details.
gsMatrix< T >	eval3D_pstress (const index_t patch, const gsMatrix< T > &u, const gsMatrix< T > &z, enum MaterialOutput out=MaterialOutput::Generic) const override
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...
gsMatrix< T >	eval3D_pstretch (const index_t patch, const gsMatrix< T > &u, const gsMatrix< T > &z) const override
	See gsMaterialMatrixBase for details.
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.
gsMatrix< T >	eval3D_strain (const index_t patch, const gsMatrix< T > &u, const gsMatrix< T > &z) const override
	See gsMaterialMatrixBase for details.
gsMatrix< T >	eval3D_stress (const index_t patch, const gsMatrix< T > &u, const gsMatrix< T > &z, enum MaterialOutput out) const override
	See gsMaterialMatrixBase for details.
gsMatrix< T >	eval3D_tensionfield (const index_t patch, const gsMatrix< T > &u, const gsMatrix< T > &z, enum MaterialOutput out=MaterialOutput::Generic) const override
	See gsMaterialMatrixBase for details.
gsMatrix< T >	eval3D_theta (const index_t patch, const gsMatrix< T > &u, const gsMatrix< T > &z, enum MaterialOutput out=MaterialOutput::Generic) const override
	See gsMaterialMatrixBase for details.
gsMatrix< T >	eval3D_vector (const index_t patch, const gsMatrix< T > &u, const gsMatrix< T > &z, enum MaterialOutput out=MaterialOutput::Generic) const override
	See gsMaterialMatrixBase for details.
gsMatrix< T >	eval_theta (const gsMatrix< T > &Cs, const gsMatrix< T > &Ns, const gsMatrix< T > &Es) const
	Computes theta.
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.
	gsMaterialMatrixTFT (gsMaterialMatrixBase< T > *materialMatrix)
	Constructs a TFT material matrix using a reference to another material matrix. More...
	gsMaterialMatrixTFT (gsMaterialMatrixBase< T > &materialMatrix)
	Constructs a TFT material matrix using a reference to another material matrix. More...
	gsMaterialMatrixTFT (const material_ptr &materialMatrix)
	Constructs a TFT material matrix using a reference to another material matrix. More...
virtual bool	hasDensity () const
	Returns true if a density is assigned.
virtual bool	hasThickness () const
	Returns true if a thickness is assigned.
void	info () const override
	See gsMaterialMatrixBase for details.
enum MatIntegration	isMatIntegrated () const override
enum MatIntegration	isVecIntegrated () const override
const gsMaterialMatrixBase< T > *	material () const override
	See gsMaterialMatrixBase for details.
gsMaterialMatrixBase< T > *	material () override
	See gsMaterialMatrixBase for details.
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.
std::ostream &	print (std::ostream &os) const override
	See gsMaterialMatrixBase for details.
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.
void	setDeformed (function_ptr deformed) override
	See gsMaterialMatrixBase for details.
void	setDeformed (const gsFunctionSet< T > *deformed) override
	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...
void	setParameters (const std::vector< gsFunctionSet< T > * > &pars) override
	See gsMaterialMatrixBase for details.
virtual void	setParameters (const std::vector< function_ptr > &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.
void	setUndeformed (function_ptr undeformed) override
	See gsMaterialMatrixBase for details.
void	setUndeformed (const gsFunctionSet< T > *undeformed) override
	See gsMaterialMatrixBase for details.
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...
void	updateDeformed (const gsFunctionSet< T > *deformed)
	Updates the reference to the deformed patches used for TFT (explicit only)
void	updateDeformed (const function_ptr &deformed)
	Updates the reference to the deformed patches used for TFT (explicit only)

Protected Member Functions
template<bool _linear>
std::enable_if< _linear, gsMatrix< T > >::type	_eval3D_matrix_impl (const index_t patch, const gsMatrix< T > &u, const gsMatrix< T > &z, enum MaterialOutput out=MaterialOutput::Generic) const
	Provides an implementation of eval3D_matrix for gsMaterialMatrixLinear.

Constructor & Destructor Documentation

gsMaterialMatrixTFT ( gsMaterialMatrixBase< T > *  materialMatrix )

inline

Constructs a TFT material matrix using a reference to another material matrix.

Parameters

materialMatrix

The original material matrix

gsMaterialMatrixTFT ( gsMaterialMatrixBase< T > &  materialMatrix )

inline

Constructs a TFT material matrix using a reference to another material matrix.

Parameters

materialMatrix

The original material matrix

gsMaterialMatrixTFT ( const material_ptr &  materialMatrix )

inline

Constructs a TFT material matrix using a reference to another material matrix.

Parameters

materialMatrix

The original material matrix

Member Function Documentation

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 >.

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

overridevirtual

Returns the principal stresses stored in the underlying material model where the tension-field is non-slack

Parameters

[in]	patch	The patch
[in]	u	Evaluation points
[in]	z	Evaluation thickness
[in]	out	(not used)

Returns

{ description_of_the_return_value }

Reimplemented from gsMaterialMatrixBase< 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 const function_ptr getParameter ( const index_t  i ) const

inlinevirtualinherited

Gets parameter i.

Parameters

[in]

i

The parameter index

Returns

The parameter.

enum MatIntegration isMatIntegrated ( ) const

inlineoverridevirtual

See gsMaterialMatrixBase for details Here, we use the integrated matrix and vector to make our computations!

Reimplemented from gsMaterialMatrixBase< T >.

enum MatIntegration isVecIntegrated ( ) const

inlineoverridevirtual

See gsMaterialMatrixBase for details Here, we use the integrated matrix and vector to make our computations!

Reimplemented from gsMaterialMatrixBase< 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 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 >.