gsMaterialMatrixLinear< dim, T > Class Template Reference

Detailed Description

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

This class defines a linear material.

Template Parameters

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

Inheritance diagram for gsMaterialMatrixLinear< dim, T >:

Collaboration diagram for gsMaterialMatrixLinear< dim, T >:

Public Types
typedef memory::shared_ptr < gsMaterialMatrixLinear >	Ptr
	Shared pointer for gsMaterialMatrixLinear.
typedef memory::unique_ptr < gsMaterialMatrixLinear >	uPtr
	Unique pointer for gsMaterialMatrixLinear.

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.
gsMatrix< T >	C (const gsMatrix< T > &C, const index_t patch, const gsMatrix< T > &u, const gsMatrix< T > &z, enum MaterialOutput out) const
	Computes the matrix C as function of the deformation tensor C=FTF.
gsMatrix< T >	dC (const gsMatrix< T > &C, const index_t patch, const gsMatrix< T > &u, const gsMatrix< T > &z, enum MaterialOutput out) const
	Computes the derivative of the matrix C as function of the deformation tensor C=FTF.
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.
gsMatrix< T >	eval3D_CauchyPStress (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_CauchyStress (const index_t patch, const gsMatrix< T > &u, const gsMatrix< T > &z, enum MaterialOutput out) const override
	See gsMaterialMatrixBase for details.
gsMatrix< T >	eval3D_CauchyVector (const index_t patch, const gsMatrix< T > &u, const gsMatrix< T > &z, enum MaterialOutput out=MaterialOutput::Generic) const override
	See gsMaterialMatrixBase for details.
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.
gsMatrix< T >	eval3D_detF (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_dmatrix (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_matrix_C (const gsMatrix< T > &Cmat, const index_t patch, const gsVector< T > &u, const T z, enum MaterialOutput out=MaterialOutput::Generic) const override
	See gsMaterialMatrixBase for details.
virtual 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
	See gsMaterialMatrixBase for details.
gsMatrix< T >	eval3D_pstressDir (const index_t patch, const gsMatrix< T > &u, const gsMatrix< T > &z, enum MaterialOutput out=MaterialOutput::Generic) const override
	See gsMaterialMatrixBase for details.
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.
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.
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.
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 >	eval3D_vector_C (const gsMatrix< T > &Cmat, const index_t patch, const gsVector< T > &u, const T z, enum MaterialOutput out=MaterialOutput::Generic) const override
	See gsMaterialMatrixBase for details.
virtual const function_ptr	getDensity () const
	Gets the Density.
virtual const function_ptr	getParameter (const index_t i) const
	Gets parameter i. More...
const function_ptr	getPoissonsRatio () const override
	Gets the Poisson's Ratio.
virtual const function_ptr	getThickness () const
	Gets the Density.
const function_ptr	getYoungsModulus () const override
	Gets the YoungsModulus.
	gsMaterialMatrixLinear ()
	Empty constructor.
	gsMaterialMatrixLinear (const gsFunctionSet< T > &mp, const gsFunctionSet< T > &thickness)
	Constructor without material parameters. More...
	gsMaterialMatrixLinear (const gsFunctionSet< T > &mp, const gsFunctionSet< T > &thickness, const gsFunctionSet< T > &YoungsModulus, const gsFunctionSet< T > &PoissonRatio)
	Constructor without deformed multipatch and density. More...
	gsMaterialMatrixLinear (const gsFunctionSet< T > &mp, const gsFunctionSet< T > &thickness, const gsFunctionSet< T > &YoungsModulus, const gsFunctionSet< T > &PoissonRatio, const gsFunctionSet< T > &Density)
	Full constructor. More...
	gsMaterialMatrixLinear (const gsFunctionSet< T > &mp, const gsFunctionSet< T > &thickness, const std::vector< gsFunctionSet< T > * > &pars)
	Constructor without density. More...
	gsMaterialMatrixLinear (const gsFunctionSet< T > &mp, const gsFunctionSet< T > &thickness, const std::vector< gsFunctionSet< T > * > &pars, const gsFunctionSet< T > &Density)
	Full constructor. More...
	gsMaterialMatrixLinear (const gsFunctionSet< T > &thickness, const std::vector< gsFunctionSet< T > * > &pars)
	Constructor without density and multipatch. More...
	gsMaterialMatrixLinear (const gsFunctionSet< T > &thickness, const std::vector< gsFunctionSet< T > * > &pars, const gsFunctionSet< T > &Density)
	Constructor without multipatch. More...
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.
enum MatIntegration	isMatIntegrated () const override
	See gsMaterialMatrixBase for details.
enum MatIntegration	isVecIntegrated () const override
	See gsMaterialMatrixBase for details.
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.
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.
gsMatrix< T >	S (const gsMatrix< T > &C, const index_t patch, const gsMatrix< T > &u, const gsMatrix< T > &z, enum MaterialOutput out) const
	Computes the vector S as function of the deformation tensor C=FTF.
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...
void	setPoissonsRatio (const gsFunctionSet< T > &PoissonsRatio) override
	Sets the Poisson's Ratio.
virtual void	setThickness (const function_ptr &thickness)
	Sets the thickness.
virtual void	setThickness (const gsFunctionSet< T > &thickness)
	Sets the thickness.
void	setYoungsModulus (const gsFunctionSet< T > &YoungsModulus) override
	Sets the YoungsModulus.
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...

Protected Member Functions
gsMatrix< T >	_E (const T z, enum MaterialOutput out) const
	Computes the strain tensor. More...
void	_initialize ()
	Initializes the object. More...
T	_Sij (const index_t i, const index_t j, const gsMatrix< T > &z) const
	Computes the linear material matrix entry with indices i j k l. More...
	gsMaterialMatrixLinear (const gsFunctionSet< T > *mp, const gsFunctionSet< T > *thickness, const gsFunctionSet< T > &YoungsModulus, const gsFunctionSet< T > &PoissonRatio, const gsFunctionSet< T > *Density)
	Full constructor. More...
	gsMaterialMatrixLinear (const gsFunctionSet< T > *mp, const gsFunctionSet< T > *thickness, const std::vector< gsFunctionSet< T > * > &pars, const gsFunctionSet< T > *Density)
	Full constructor. More...

Constructor & Destructor Documentation

gsMaterialMatrixLinear	(	const gsFunctionSet< T > &	mp,
		const gsFunctionSet< T > &	thickness
	)

Constructor without material parameters.

Parameters

[in]	mp	Original geometry
[in]	thickness	Thickness function

gsMaterialMatrixLinear	(	const gsFunctionSet< T > &	mp,
		const gsFunctionSet< T > &	thickness,
		const gsFunctionSet< T > &	YoungsModulus,
		const gsFunctionSet< T > &	PoissonRatio
	)

Constructor without deformed multipatch and density.

Parameters

[in]	mp	Original geometry
[in]	thickness	Thickness function
[in]	YoungsModulus	The youngs modulus
[in]	PoissonRatio	The poisson ratio

gsMaterialMatrixLinear	(	const gsFunctionSet< T > &	mp,
		const gsFunctionSet< T > &	thickness,
		const gsFunctionSet< T > &	YoungsModulus,
		const gsFunctionSet< T > &	PoissonRatio,
		const gsFunctionSet< T > &	Density
	)

Full constructor.

Parameters

[in]	mp	Original geometry
[in]	thickness	Thickness function
[in]	YoungsModulus	The youngs modulus
[in]	PoissonRatio	The poisson ratio
[in]	Density	The density

gsMaterialMatrixLinear ( const gsFunctionSet< T > *  mp, const gsFunctionSet< T > *  thickness, const gsFunctionSet< T > &  YoungsModulus, const gsFunctionSet< T > &  PoissonRatio, const gsFunctionSet< T > *  Density  )

protected

Full constructor.

Parameters

[in]	mp	Original geometry
[in]	thickness	Thickness function
[in]	YoungsModulus	The youngs modulus
[in]	PoissonRatio	The poisson ratio
[in]	Density	The density

gsMaterialMatrixLinear	(	const gsFunctionSet< T > &	mp,
		const gsFunctionSet< T > &	thickness,
		const std::vector< gsFunctionSet< T > * > &	pars
	)

Constructor without density.

Parameters

[in]	mp	Original geometry
[in]	thickness	Thickness function
[in]	pars	Vector with parameters (E, nu)

gsMaterialMatrixLinear	(	const gsFunctionSet< T > &	mp,
		const gsFunctionSet< T > &	thickness,
		const std::vector< gsFunctionSet< T > * > &	pars,
		const gsFunctionSet< T > &	Density
	)

Full constructor.

Parameters

[in]	mp	Original geometry
[in]	thickness	Thickness function
[in]	pars	Vector with parameters (E, nu)
[in]	Density	Density function

gsMaterialMatrixLinear	(	const gsFunctionSet< T > &	thickness,
		const std::vector< gsFunctionSet< T > * > &	pars
	)

Constructor without density and multipatch.

Parameters

[in]	thickness	Thickness function
[in]	pars	Vector with parameters (E, nu)

gsMaterialMatrixLinear	(	const gsFunctionSet< T > &	thickness,
		const std::vector< gsFunctionSet< T > * > &	pars,
		const gsFunctionSet< T > &	Density
	)

Constructor without multipatch.

Parameters

[in]	thickness	Thickness function
[in]	pars	Vector with parameters (E, nu)
[in]	Density	Density function

gsMaterialMatrixLinear ( const gsFunctionSet< T > *  mp, const gsFunctionSet< T > *  thickness, const std::vector< gsFunctionSet< T > * > &  pars, const gsFunctionSet< T > *  Density  )

protected

Full constructor.

Parameters

[in]	mp	Original geometry
[in]	thickness	Thickness function
[in]	pars	Vector with parameters (E, nu)
[in]	Density	Density function

Member Function Documentation

gsMatrix< T > _E ( const T  z, enum MaterialOutput  out  ) const

protected

Computes the strain tensor.

Parameters

[in]	z	Through-thickness coordinate
[in]	out	Output specification

Returns

E

void _initialize ( )

protected

Initializes the object.

Initializes options, flags and defines the number of parameters

T _Sij ( const index_t  i, const index_t  j, const gsMatrix< T > &  z  ) const

protected

Computes the linear material matrix entry with indices i j k l.

The entry is computed by \( \mathcal{C}^{ijkl} = \frac{2\lambda\mu}{\lambda+2\mu}a^{ij}a^{kl} + \mu (a^{ik}a^{jl} + a^{il}a^{jk})\) where \(\lambda\) and \(\mu\) are the Lamé parameters and \(a^{ij}=\mathbf{a}^i\cdot \mathbf{a}^j$ with \){a}^i \( is the contravariant vector \) i \( @param[in] i,j,k,l Indices @return Cijkl */ T _Cijkl (const index_t i, const index_t j, const index_t k, const index_t l) const; /** @brief Computes the linear force/moment entry with indices \a i \a j at height z Computes the thickness-integrated stress tensor, i.e. the normal force (0th thickness-moment) or the bending moment (1st thickness-moment). Sij is computed as \) {C}^{ijkl} : {E}_{ij} \( where \){E}_{ij} = a_{ij} z b_{ij} \( with \) a_{ij} \( the in-plane metric and \)b_{ij} \( the curvature. According to this definition, MaterialOutput out==VectorN would return the 0th moment, hence the \){ij} \(-part would be relevant and for VectorM the \)b_{ij}$ part is relevant. The term could also be integrated (out==Generalized).

Parameters

[in]	i,j	Indices
[in]	z	Through-thickness coordinate
[in]	out	Output specification

Returns

Sij

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.

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 >.