belfem::fem::EF_HEX8TB Class Reference

Edge function for the HEX8TB side-connector wall element. More...

#include <cl_EF_HEX8TB.hpp>

Inheritance diagram for belfem::fem::EF_HEX8TB:

Collaboration diagram for belfem::fem::EF_HEX8TB:

Public Member Functions
	EF_HEX8TB ()
	constructor
	~EF_HEX8TB () override=default
	destructor
void	link (Element *aElement) override
	connect function with element
void	precompute (const Matrix< real > &aXi) override
	only needed for higher order elements
const Matrix< real > &	E (const uint aIndex) override
const Matrix< real > &	C (const uint aIndex) override
const Matrix< real > &	G (const uint aIndex) override
	gradient operator for h-field, layout contract in EdgeFunction::mGrad.
void	update_nabla (const uint aIndex) override
	the Jacobian is constant per element and set in link(); this override only exists because the Calculator calls it before reading det_J()
Public Member Functions inherited from belfem::fem::EdgeFunction
	EdgeFunction ()=default
	trivial constructor
virtual	~EdgeFunction ()=default
	trivial destructor
real	det_J () const
	returns the current value of the determinant
real	abs_det_J () const
	returns the current value of the determinant
real	sum_w () const
	returns the sum of all integration weights
uint	ndofs () const

Additional Inherited Members
Protected Attributes inherited from belfem::fem::EdgeFunction
Matrix< real >	mJ
	the Geometry Jacobian (transposed)
Matrix< real >	mInvJ
	the inverse of the Geometry Jacobian (transposed)
real	mDetJ = BELFEM_QUIET_NAN
	the determinant of the Geometry Jacobian
real	mAbsDetJ = BELFEM_QUIET_NAN
	the absolute value determinant of the Geometry Jacobian
Matrix< real >	mE
Matrix< real >	mC
	matrix containing the curl for the H-Function
Matrix< real >	mGrad
real	mSumW
	sum of all weights
uint	mNumDofs

Detailed Description

Edge function for the HEX8TB side-connector wall element.

Four longitudinal edge dofs on edges (0,1), (3,2), (4,5), (7,6), all pointing in +xi (the side-curve direction). The element is a degenerate cuboid: the metric uses the exact width (eta) and thickness (zeta) stored on the mesh blocks, plus the midpoint-to-midpoint length (xi). The node positions only orient the frame; they never set the thin dimensions, which are physical collapsed-layer data. The Jacobian is therefore constant per element and is computed once in link().

Constructor & Destructor Documentation

EF_HEX8TB()

belfem::fem::EF_HEX8TB::EF_HEX8TB

(

)

constructor

~EF_HEX8TB()

belfem::fem::EF_HEX8TB::~EF_HEX8TB ( )

overridedefault

destructor

Member Function Documentation

C()

const Matrix< real > & belfem::fem::EF_HEX8TB::C ( const uint aIndex )

overridevirtual

Implements belfem::fem::EdgeFunction.

E()

const Matrix< real > & belfem::fem::EF_HEX8TB::E ( const uint aIndex )

overridevirtual

Reimplemented from belfem::fem::EdgeFunction.

G()

const Matrix< real > & belfem::fem::EF_HEX8TB::G ( const uint aIndex )

overridevirtual

gradient operator for h-field, layout contract in EdgeFunction::mGrad.

Exact on the class's own convention: the wall metric is the imposed exact cuboid frame ( t, b, n ) from link(), so the map is affine and grad( e_k ) = s_k ( grad F_k ) (x) nabla xi with all frame factors element constants. The frame is orthonormal, hence div( e_k ) == 0 identically.

Implements belfem::fem::EdgeFunction.

link()

void belfem::fem::EF_HEX8TB::link ( Element * aElement )

overridevirtual

connect function with element

Implements belfem::fem::EdgeFunction.

precompute()

void belfem::fem::EF_HEX8TB::precompute ( const Matrix< real > & aXi )

overridevirtual

only needed for higher order elements

Parameters

aXi

Implements belfem::fem::EdgeFunction.

update_nabla()

void belfem::fem::EF_HEX8TB::update_nabla ( const uint aIndex )

inlineoverridevirtual

the Jacobian is constant per element and set in link(); this override only exists because the Calculator calls it before reading det_J()

Reimplemented from belfem::fem::EdgeFunction.

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The documentation for this class was generated from the following files:

• src/fem/interpolation/nedelec/cl_EF_HEX8TB.hpp
• src/fem/interpolation/nedelec/cl_EF_HEX8TB.cpp