Detailed Description

template<short_t d, class T, bool bending>
class gismo::gsThinShellAssembler< d, T, bending >

Assembles the system matrix and vectors for 2D and 3D shell problems, including geometric nonlinearities and loading nonlinearities. The material nonlinearities are handled by the gsMaterialMatrixIntegrate class.

Template Parameters

d	The dimension (2 = planar, 3 = surface)
T	Real type
bending	True: Assemble bending terms; False: Do not assemble bending terms

Inheritance diagram for gsThinShellAssembler< d, T, bending >:

Collaboration diagram for gsThinShellAssembler< d, T, bending >:

Public Member Functions
ThinShellAssemblerStatus	assemble ()
	See gsThinShellAssemblerBase for details.

ThinShellAssemblerStatus	assemble (const gsFunctionSet< T > &deformed, const bool matrix=true, const bool homogenize=true)
	See gsThinShellAssemblerBase for details.

ThinShellAssemblerStatus	assemble (const gsMatrix< T > &solVector, const bool matrix=true, const bool homogenize=true)
	See gsThinShellAssemblerBase for details.

ThinShellAssemblerStatus	assembleFoundation ()
	See gsThinShellAssemblerBase for details.

ThinShellAssemblerStatus	assembleFoundationVector (const gsFunction< T > &foundFun, const gsFunctionSet< T > &deformed)
	See gsThinShellAssemblerBase for details.

ThinShellAssemblerStatus	assembleFoundationVector (const gsFunctionSet< T > &deformed)
	See gsThinShellAssemblerBase for details.

ThinShellAssemblerStatus	assembleMass (const bool lumped=false)
	See gsThinShellAssemblerBase for details.

ThinShellAssemblerStatus	assembleMatrix (const gsFunctionSet< T > &deformed)
	See gsThinShellAssemblerBase for details.

ThinShellAssemblerStatus	assembleMatrix (const gsFunctionSet< T > &deformed, const gsFunctionSet< T > &previous, gsMatrix< T > &update)
	See gsThinShellAssemblerBase for details.

ThinShellAssemblerStatus	assembleMatrix (const gsMatrix< T > &solVector)
	See gsThinShellAssemblerBase for details.

ThinShellAssemblerStatus	assembleMatrix (const gsMatrix< T > &solVector, const gsMatrix< T > &prevVector)
	See gsThinShellAssemblerBase for details.

ThinShellAssemblerStatus	assemblePressureMatrix (const gsFunction< T > &pressFun)
	See gsThinShellAssemblerBase for details.

ThinShellAssemblerStatus	assemblePressureMatrix (const gsFunction< T > &pressFun, const gsFunctionSet< T > &deformed)
	See gsThinShellAssemblerBase for details.

ThinShellAssemblerStatus	assemblePressureMatrix (const T pressure)
	See gsThinShellAssemblerBase for details.

ThinShellAssemblerStatus	assemblePressureMatrix (const T pressure, const gsFunctionSet< T > &deformed)
	See gsThinShellAssemblerBase for details.

ThinShellAssemblerStatus	assemblePressureVector (const gsFunction< T > &pressFun)
	See gsThinShellAssemblerBase for details.

ThinShellAssemblerStatus	assemblePressureVector (const gsFunction< T > &pressFun, const gsFunctionSet< T > &deformed)
	See gsThinShellAssemblerBase for details.

ThinShellAssemblerStatus	assemblePressureVector (const gsFunctionSet< T > &deformed)
	See gsThinShellAssemblerBase for details.

ThinShellAssemblerStatus	assemblePressureVector (const T pressure)
	See gsThinShellAssemblerBase for details.

ThinShellAssemblerStatus	assemblePressureVector (const T pressure, const gsFunctionSet< T > &deformed)
	See gsThinShellAssemblerBase for details.

gsExprAssembler< T >	assembler ()
	See gsThinShellAssemblerBase for details.

ThinShellAssemblerStatus	assembleVector (const gsFunctionSet< T > &deformed, const bool homogenize=true)
	See gsThinShellAssemblerBase for details.

ThinShellAssemblerStatus	assembleVector (const gsMatrix< T > &solVector, const bool homogenize=true)
	See gsThinShellAssemblerBase for details.

const gsMultiBasis< T > &	basis () const
	See gsThinShellAssemblerBase for details.

gsMatrix< T >	boundaryForce (const gsFunctionSet< T > &deformed, const patchSide &ps) const
	See gsThinShellAssemblerBase for details.

gsMatrix< T >	boundaryForce (const gsFunctionSet< T > &deformed, const std::vector< patchSide > &patchSides) const
	See gsThinShellAssemblerBase for details.

gsMatrix< T >	computePrincipalStresses (const gsMatrix< T > &points, const gsFunctionSet< T > &deformed, const T z=0)
	See gsThinShellAssemblerBase for details.

gsMatrix< T >	computePrincipalStretches (const gsMatrix< T > &points, const gsFunctionSet< T > &deformed, const T z=0)
	See gsThinShellAssemblerBase for details.

gsMultiPatch< T >	constructDisplacement (const gsMatrix< T > &solVector) const
	See gsThinShellAssemblerBase for details.

void	constructDisplacement (const gsMatrix< T > &solVector, gsMultiPatch< T > &deformed) const
	See gsThinShellAssemblerBase for details.

gsMultiPatch< T >	constructMultiPatch (const gsMatrix< T > &solVector) const
	Construct solution field from computed solution vector solVector and returns a multipatch.

gsMultiPatch< T >	constructSolution (const gsMatrix< T > &solVector) const
	Construct deformed shell geometry from computed solution vector solVector and returns a multipatch.

void	constructSolution (const gsMatrix< T > &solVector, gsMultiPatch< T > &deformed) const
	See gsThinShellAssemblerBase for details.

gsVector< T >	constructSolutionVector (const gsMultiPatch< T > &deformed) const
	See gsThinShellAssemblerBase for details.

void	constructStress (const gsFunctionSet< T > &deformed, gsPiecewiseFunction< T > &result, stress_type::type type)
	See gsThinShellAssemblerBase for details.

void	constructStress (const gsFunctionSet< T > &original, const gsFunctionSet< T > &deformed, gsPiecewiseFunction< T > &result, stress_type::type type)
	See gsThinShellAssemblerBase for details.

T	deformationNorm (const gsMultiPatch< T > &deformed, const gsMultiPatch< T > &original)
	See gsThinShellAssemblerBase for details.

gsMatrix< T >	fullSolutionVector (const gsMatrix< T > &vector) const
	See gsThinShellAssemblerBase for details.

const gsMultiPatch< T > &	geometry () const
	See gsThinShellAssemblerBase for details.

T	getArea (const gsFunctionSet< T > &geometry)
	See gsThinShellAssemblerBase for details.

gsMultiBasis< T > &	getBasis ()
	Gets the basis.

T	getDisplacementNorm (const gsFunctionSet< T > &deformed)
	See gsThinShellAssemblerBase for details.

T	getElasticEnergy (const gsFunctionSet< T > &deformed)
	See gsThinShellAssemblerBase for details.

gsDofMapper	getMapper ()
	See gsThinShellAssemblerBase for details.

gsDofMapper	getMapper () const
	See gsThinShellAssemblerBase for details.

const gsPointLoads< T > &	getPointLoads ()
	Gets the registered point loads.

const gsPointLoads< T > &	getPointMass ()
	Gets the registered point masses.

const gsFunctionSet< T > &	getSpaceBasis ()
	See gsThinShellAssemblerBase for details.

	gsThinShellAssembler ()
	Constructor for te shell assembler.

	gsThinShellAssembler (const gsMultiPatch< T > &patches, const gsMultiBasis< T > &basis, const gsBoundaryConditions< T > &bconditions, const gsFunctionSet< T > &surface_force, const gsMaterialMatrixContainer< T > &materialmatrices)
	Constructor for the shell assembler.

	gsThinShellAssembler (const gsMultiPatch< T > &patches, const gsMultiBasis< T > &basis, const gsBoundaryConditions< T > &bconditions, const gsFunctionSet< T > &surface_force, gsMaterialMatrixBase< T > *materialmatrix)
	Constructor for the shell assembler.

	gsThinShellAssembler (const gsThinShellAssembler &other)
	Copy constructor (makes deep copy)

	gsThinShellAssembler (gsThinShellAssembler &&other)
	Move constructor.

void	homogenizeDirichlet ()
	See gsThinShellAssemblerBase for details.

T	interfaceErrorC0 (const gsFunctionSet< T > &deformed)
	See gsThinShellAssemblerBase for details.

T	interfaceErrorG1 (const gsFunctionSet< T > &deformed)
	See gsThinShellAssemblerBase for details.

T	interfaceErrorGaussCurvature (const gsFunctionSet< T > &deformed)
	See gsThinShellAssemblerBase for details.

T	interfaceErrorMeanCurvature (const gsFunctionSet< T > &deformed)
	See gsThinShellAssemblerBase for details.

T	interfaceErrorNormal (const gsFunctionSet< T > &deformed)
	See gsThinShellAssemblerBase for details.

gsSparseMatrix< T > &	massMatrix ()
	Returns a reference to the mass matrix that is assembled.

gsMaterialMatrixBase< T > *	material (const index_t p) const
	Returns the material matrix on patch p used in the class.

gsMaterialMatrixContainer< T >	materials () const
	Returns the material matrices used in the class.

const gsSparseMatrix< T > &	matrix () const
	Returns a reference to the system matrix that is assembled.

index_t	numDofs () const
	See gsThinShellAssemblerBase for details.

gsThinShellAssembler &	operator= (const gsThinShellAssembler &other)
	Assignment operator.

gsThinShellAssembler &	operator= (gsThinShellAssembler &&other)
	Move assignment operator.

gsOptionList &	options ()
	See gsThinShellAssemblerBase for details.

void	plotSolution (std::string string, const gsMatrix< T > &solVector)
	See gsThinShellAssemblerBase for details.

gsMatrix< T >	projectL2 (const gsFunction< T > &fun)
	See gsThinShellAssemblerBase for details.

void	projectL2_into (const gsFunction< T > &fun, gsMatrix< T > &result)
	See gsThinShellAssemblerBase for details.

void	projectL2_into (const gsFunction< T > &fun, gsMultiPatch< T > &result)
	See gsThinShellAssemblerBase for details.

const gsMatrix< T > &	rhs () const
	Returns a reference to the right-hand side vector that is assembled.

void	setBasis (const gsMultiBasis< T > &basis)
	Overwrites the basis.

void	setFoundation (const gsFunction< T > &foundation)
	See gsThinShellAssemblerBase for details.

void	setOptions (gsOptionList &options)
	See gsThinShellAssemblerBase for details.

void	setPointLoads (const gsPointLoads< T > &pLoads)
	See gsThinShellAssemblerBase for details.

void	setPointMass (const gsPointLoads< T > &pMass)
	Registers a gsPointLoads object for a point mass acting on the shell. The point masss must be 1-dimensional.

void	setPressure (const gsFunction< T > &pressure)
	See gsThinShellAssemblerBase for details.

void	setSpaceBasis (const gsFunctionSet< T > &spaceBasis)
	See gsThinShellAssemblerBase for details.

void	setUndeformed (const gsMultiPatch< T > &patches)
	See gsThinShellAssemblerBase for details.

ThinShellAssemblerStatus	status () const
	See gsThinShellAssemblerBase for details.

void	updateBCs (const gsBoundaryConditions< T > &bconditions)
	See gsThinShellAssemblerBase for details.

Protected Member Functions
gsMultiPatch< T >	_constructSolution (const gsMatrix< T > &solVector, const gsMultiPatch< T > &undeformed) const
	See gsThinShellAssemblerBase for details.

void	_initialize ()
	Initializes the method.

Private Member Functions
template<short_t _d, bool _bending>
std::enable_if<(_d==3)&&_bending, ThinShellAssemblerStatus >::type	assemble_impl ()
	Specialisation of assemble() for surfaces (3D)

template<short_t _d, bool _bending>
std::enable_if<!(_d==3 &&_bending), ThinShellAssemblerStatus >::type	assemble_impl ()
	Specialisation of assemble() for planar geometries (2D)

template<short_t _d, bool _bending>
std::enable_if<!(_d==3 &&_bending), ThinShellAssemblerStatus >::type	assembleMatrix_impl (const gsFunctionSet< T > &, const gsFunctionSet< T > &, gsMatrix< T > &)
	Implementation of assembleMatrix for planar geometries (2D)

template<short_t _d, bool _bending>
std::enable_if<(_d==3)&&_bending, ThinShellAssemblerStatus >::type	assembleMatrix_impl (const gsFunctionSet< T > &deformed)
	Implementation of assembleMatrix for surfaces (3D)

template<short_t _d, bool _bending>
std::enable_if<!(_d==3 &&_bending), ThinShellAssemblerStatus >::type	assembleMatrix_impl (const gsFunctionSet< T > &deformed)
	Implementation of assembleMatrix for planar geometries (2D)

template<short_t _d, bool _bending>
std::enable_if<(_d==3)&&_bending, ThinShellAssemblerStatus >::type	assembleMatrix_impl (const gsFunctionSet< T > &deformed, const gsFunctionSet< T > &previous, gsMatrix< T > &update)
	Implementation of assembleMatrix for surfaces (3D)

template<short_t _d, bool _bending>
std::enable_if<(_d==3)&&_bending, ThinShellAssemblerStatus >::type	assembleVector_impl (const gsFunctionSet< T > &deformed, const bool homogenize)
	Implementation of assembleVector for surfaces (3D)

template<short_t _d, bool _bending>
std::enable_if<!(_d==3 &&_bending), ThinShellAssemblerStatus >::type	assembleVector_impl (const gsFunctionSet< T > &deformed, const bool homogenize)
	Implementation of assembleVector for planar geometries (2D)

template<short_t _d, bool _bending>
std::enable_if<(_d==3)&&_bending, gsMatrix< T > >::type	boundaryForce_impl (const gsFunctionSet< T > &deformed, const std::vector< patchSide > &patchSides) const
	Implementation of the boundary force vector for surfaces (3D)

template<short_t _d, bool _bending>
std::enable_if<!(_d==3 &&_bending), gsMatrix< T > >::type	boundaryForce_impl (const gsFunctionSet< T > &deformed, const std::vector< patchSide > &patchSides) const
	Implementation of the boundary force vector for planar geometries (2D)

Constructor & Destructor Documentation

◆ gsThinShellAssembler() [1/3]

template<short_t d, class T , bool bending>

gsThinShellAssembler	(	const gsMultiPatch< T > &	patches,
		const gsMultiBasis< T > &	basis,
		const gsBoundaryConditions< T > &	bconditions,
		const gsFunctionSet< T > &	surface_force,
		const gsMaterialMatrixContainer< T > &	materialmatrices
	)

Constructor for the shell assembler.

Parameters

[in]	patches	The geometry
[in]	basis	The basis
[in]	bconditions	The boundary condition
[in]	surface_force	The surface force
	materialmatrix	The material matrix container

◆ gsThinShellAssembler() [2/3]

template<short_t d, class T , bool bending>

gsThinShellAssembler	(	const gsMultiPatch< T > &	patches,
		const gsMultiBasis< T > &	basis,
		const gsBoundaryConditions< T > &	bconditions,
		const gsFunctionSet< T > &	surface_force,
		gsMaterialMatrixBase< T > *	materialmatrix
	)

Constructor for the shell assembler.

Parameters

[in]	patches	The geometry
[in]	basis	The basis
[in]	bconditions	The boundary condition
[in]	surface_force	The surface force
	materialmatrix	The material matrix class

◆ gsThinShellAssembler() [3/3]

template<short_t d, class T , bool bending>

gsThinShellAssembler ( )

inline

Constructor for te shell assembler.

Parameters

[in]	patches	The geometry
[in]	basis	The basis
[in]	bconditions	The boundary condition
[in]	surface_force	The surface force
	materialmatrix	The material matrix class Default empty constructor

Member Function Documentation

◆ assemble_impl()

template<short_t d, typename T , bool bending>

template<short_t _d, bool _bending>

std::enable_if<!(_d==3 &&_bending), ThinShellAssemblerStatus >::type assemble_impl ( )

private

Specialisation of assemble() for surfaces (3D)

Assembles the Kirchhoff-Love shell equations including the bending terms. Optionally, pressure is included via p * n * u Optionally, foundation stiffness is included via k_x v_x v_x + k_y v_y v_y + k_z v_z v_z Since the variational energy of the foundation force k_i u_i is equal to k_i u_i v_i where i denotes any direction, u_i are displacemets and v_i are spaces.

◆ projectL2()

template<short_t d, class T , bool bending>

gsMatrix< T > projectL2 ( const gsFunction< T > & fun )

virtual

See gsThinShellAssemblerBase for details.

todo: make a projection with BCs? todo: test

Implements gsThinShellAssemblerBase< T >.

◆ projectL2_into()

template<short_t d, class T , bool bending>

void projectL2_into	(	const gsFunction< T > &	fun,
		gsMultiPatch< T > &	result
	)

virtual

See gsThinShellAssemblerBase for details.

todo: make a projection with BCs? todo: test

Implements gsThinShellAssemblerBase< T >.

◆ setBasis()

template<short_t d, class T , bool bending>

void setBasis ( const gsMultiBasis< T > & basis )

inlinevirtual

Overwrites the basis.

Parameters

[in] bconditions The basis

Implements gsThinShellAssemblerBase< T >.

Detailed Description

Public Member Functions

Protected Member Functions

Private Member Functions

Constructor & Destructor Documentation

◆ gsThinShellAssembler() [1/3]

◆ gsThinShellAssembler() [2/3]

◆ gsThinShellAssembler() [3/3]

Member Function Documentation

◆ assemble_impl()

◆ projectL2()

◆ projectL2_into()

◆ setBasis()