Detailed Description

template<class T>
class gismo::gsMaterialMatrixBase< T >

This class defines the base class for material matrices.

Template Parameters

T Real type

Inheritance diagram for gsMaterialMatrixBase< T >:

Collaboration diagram for gsMaterialMatrixBase< 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
virtual void	defaultOptions ()
	Returns the options. More...

virtual void	density_into (const index_t patch, const gsMatrix< T > &u, gsMatrix< T > &result) const
	Evaluates the density multiplied by the thickness of the shell (scalar) More...

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
	Provides the transformation from the contravariant basis to the local cartesian basis. More...

virtual gsMatrix< T >	eval3D_cov2cart (const index_t patch, const gsMatrix< T > &u, const gsMatrix< T > &z) const
	Provides the transformation from the covariant basis to the local cartesian basis. More...

virtual gsMatrix< T >	eval3D_deformation (const index_t patch, const gsMatrix< T > &u, const gsMatrix< T > &z) const
	Evaluates deformation tensor on patch on in-plane points u with height z. More...

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

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

virtual gsMatrix< T >	eval3D_pstretchDir (const index_t patch, const gsMatrix< T > &u, const gsMatrix< T > &z) const
	Evaluates the principal stretch directions on patch on in-plane points u with height z. More...

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
	Provides the transformation from the spectral basis to the contravariant basis. More...

virtual gsMatrix< T >	eval3D_spec2cov (const index_t patch, const gsMatrix< T > &u, const gsMatrix< T > &z) const
	Provides the transformation from the spectral basis to the covariant basis. More...

virtual gsMatrix< T >	eval3D_strain (const index_t patch, const gsMatrix< T > &u, const gsMatrix< T > &z) const
	{ function_description } More...

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
	to do More...

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.

	gsMaterialMatrixBase (const gsMaterialMatrixBase< T > &other)
	Copy constructor (makes deep copy)

	gsMaterialMatrixBase (gsMaterialMatrixBase< T > &&other)
	Move constructor.

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
	Evaluates the parameters of the shell. More...

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
	Evaluates the thickness of the shell (scalar) More...

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	~gsMaterialMatrixBase ()
	Destructor.

Member Function Documentation

virtual void defaultOptions ( )

inlinevirtual

Returns the options.

Returns: gsOptionList

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

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

inlinevirtual

Evaluates the density multiplied by the thickness of the shell (scalar)

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 gsMaterialMatrixTFT< dim, T, linear >, gsMaterialMatrixTFT< 2, T >, gsMaterialMatrixBaseDim< dim, T >, and gsMaterialMatrixComposite< dim, T >.

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

inlinevirtual

{ 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

inlinevirtual

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_con2cart	(	const index_t	patch,
		const gsMatrix< T > &	u,
		const gsMatrix< T > &	z
	)		const

inlinevirtual

Provides the transformation from the contravariant basis to the local cartesian basis.

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)]

Reimplemented in gsMaterialMatrixBaseDim< dim, T >.

virtual gsMatrix<T> eval3D_cov2cart	(	const index_t	patch,
		const gsMatrix< T > &	u,
		const gsMatrix< T > &	z
	)		const

inlinevirtual

Provides the transformation from the covariant basis to the local cartesian basis.

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
	result	The result

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)]

Reimplemented in gsMaterialMatrixBaseDim< dim, T >.

virtual gsMatrix<T> eval3D_deformation	(	const index_t	patch,
		const gsMatrix< T > &	u,
		const gsMatrix< T > &	z
	)		const

inlinevirtual

Evaluates deformation tensor 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 (deformation tensor) ordered per z coordinate per point [(u1,z1) (u2,z1) .. (un,z1), (u1,z2) .. (un,z2), .., (u1,zm) .. (un,zm)]

Reimplemented in gsMaterialMatrixBaseDim< dim, T >.

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

inlinevirtual

{ 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

inlinevirtual

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

inlinevirtual

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

inlinevirtual

Evaluates the principal strain 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 strain) ordered per z coordinate per point [(u1,z1) (u2,z1) .. (un,z1), (u1,z2) .. (un,z2), .., (u1,zm) .. (un,zm)]

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

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

inlinevirtual

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

inlinevirtual

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

inlinevirtual

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

inlinevirtual

Evaluates the principal stretch 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 stretch) ordered per z coordinate per point [(u1,z1) (u2,z1) .. (un,z1), (u1,z2) .. (un,z2), .., (u1,zm) .. (un,zm)]

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

virtual gsMatrix<T> eval3D_pstretchDir	(	const index_t	patch,
		const gsMatrix< T > &	u,
		const gsMatrix< T > &	z
	)		const

inlinevirtual

Evaluates the principal stretch 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 stretch directions) ordered per z coordinate per point [(u1,z1) (u2,z1) .. (un,z1), (u1,z2) .. (un,z2), .., (u1,zm) .. (un,zm)]

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

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

inlinevirtual

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_spec2con	(	const index_t	patch,
		const gsMatrix< T > &	u,
		const gsMatrix< T > &	z
	)		const

inlinevirtual

Provides the transformation from the spectral basis to the contravariant basis.

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)]

Reimplemented in gsMaterialMatrixBaseDim< dim, T >.

virtual gsMatrix<T> eval3D_spec2cov	(	const index_t	patch,
		const gsMatrix< T > &	u,
		const gsMatrix< T > &	z
	)		const

inlinevirtual

Provides the transformation from the spectral basis to the covariant basis.

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
	result	The result

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)]

Reimplemented in gsMaterialMatrixBaseDim< dim, T >.

virtual gsMatrix<T> eval3D_strain	(	const index_t	patch,
		const gsMatrix< T > &	u,
		const gsMatrix< T > &	z
	)		const

inlinevirtual

{ 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 gsMaterialMatrixTFT< dim, T, linear >, gsMaterialMatrixTFT< 2, T >, and gsMaterialMatrixBaseDim< dim, T >.

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

inlinevirtual

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

inlinevirtual

to do

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 strain) ordered per z coordinate per point [(u1,z1) (u2,z1) .. (un,z1), (u1,z2) .. (un,z2), .., (u1,zm) .. (un,zm)]

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

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

inlinevirtual

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

inlinevirtual

Gets parameter i.

Parameters

[in] i The parameter index

Returns: The parameter.

virtual enum MatIntegration isMatIntegrated ( ) const

inlinevirtual

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

inlinevirtual

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 ( )

inlinevirtual

Returns the options.

Returns: gsOptionList

Reimplemented in gsMaterialMatrixComposite< dim, T >.

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

inlinevirtual

Evaluates the parameters of the shell.

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 gsMaterialMatrixBaseDim< dim, T >, and gsMaterialMatrixComposite< dim, T >.

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

inlinevirtual

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

inlinevirtual

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

inlinevirtual

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

inlinevirtual

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 )

inlinevirtual

Sets the options.

Parameters

[in] opt gsOptionList

Reimplemented in gsMaterialMatrixComposite< dim, T >.

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

inlinevirtual

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
	)

inlinevirtual

Sets the material parameters.

Parameters

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

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

inlinevirtual

Sets the material parameters.

Parameters

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

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

inlinevirtual

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 thickness_into	(	const index_t	patch,
		const gsMatrix< T > &	u,
		gsMatrix< T > &	result
	)		const

inlinevirtual

Evaluates the thickness of the shell (scalar)

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 gsMaterialMatrixTFT< dim, T, linear >, gsMaterialMatrixTFT< 2, T >, gsMaterialMatrixBaseDim< dim, T >, and gsMaterialMatrixComposite< dim, T >.

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

inlinevirtual

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<class T> class gismo::gsMaterialMatrixBase< T >

Public Types

Public Member Functions

Member Function Documentation

template<class T>
class gismo::gsMaterialMatrixBase< T >