Triquatratic: Quadratic ansatz functions on cube with 20 nodes per cube. More...

Detailed Description

Triquatratic: Quadratic ansatz functions on cube with 20 nodes per cube.

Definition at line 18 of file HexahedronTriquadratic.m.

Public Member Functions
	HexahedronTriquadratic (geo)

function Nx =	N (colvec< double > x)
	Triquadratic basis functions. More...

function dNx =	gradN (colvec< double > x)

Public Member Functions inherited from fem.BaseFEM
	BaseFEM (geometry)

function	init ()

function a =	getFaceArea (elemidx, faceidx)

function v =	getElementVolume (elemidx)
	Returns the volume of the element with the specified index in [mm³]. More...

function v =	getTotalVolume ()
	Returns the total geometry volume in [mm³]. More...

function gp =	getGlobalGaussPoints (elemidx)
	Returns the positions of all gauss points of the specified element in global (=reference) coordinates. More...

function	plot (pm)

virtual function matrix< double > nx =	N (matrix< double > x)
	Evaluates the elementary basis functions on the geometry master element. More...

virtual function dnx =	gradN (matrix< double > x)
	Evaluates the gradients of the elementary basis functions on the master element. More...

Static Public Member Functions
static function res =	test_QuadraticBasisFun ()

static function	generateN_dN ()
	Little hack to generate the appropriate basis function expressions. More...

Static Public Member Functions inherited from fem.BaseFEM
static function res =	test_JacobiansDefaultGeo ()
	Tests if the deformation jacobians using linear and quadratic elements is the same for a default geometry. More...

Additional Inherited Members
Public Attributes inherited from fem.BaseFEM
	GaussPointRule

	GaussPointsPerElem

	GaussPointsPerElemFace

	Geometry

	Ngp
	Values of basis functions on gauss points. More...

	M
	The mass matrix. More...

	D
	The damping matrix (for linear damping) More...

	Sigma
	The element-dof to global node assembly matrix. More...

	elem_detjac

	face_detjac

	Ngpface

	dN_facenormals

	transgrad
	transformed basis function gradients, stored in eldofs x gp*3 x element matrix (accessible in 20x3-chunks for each gauss point and element) More...

	GaussPoints
	% Gauss integration related properties More...

	GaussWeights

	FaceGaussPoints

	FaceGaussWeights

	NormalsOnFaceGP

	FaceAreas

Public Attributes inherited from handle
	addlistener
	Creates a listener for the specified event and assigns a callback function to execute when the event occurs. More...

	notify
	Broadcast a notice that a specific event is occurring on a specified handle object or array of handle objects. More...

	delete
	Handle object destructor method that is called when the object's lifecycle ends. More...

	disp
	Handle object disp method which is called by the display method. See the MATLAB disp function. More...

	display
	Handle object display method called when MATLAB software interprets an expression returning a handle object that is not terminated by a semicolon. See the MATLAB display function. More...

	findobj
	Finds objects matching the specified conditions from the input array of handle objects. More...

	findprop
	Returns a meta.property objects associated with the specified property name. More...

	fields
	Returns a cell array of string containing the names of public properties. More...

	fieldnames
	Returns a cell array of string containing the names of public properties. See the MATLAB fieldnames function. More...

	isvalid
	Returns a logical array in which elements are true if the corresponding elements in the input array are valid handles. This method is Sealed so you cannot override it in a handle subclass. More...

	eq
	Relational functions example. See details for more information. More...

	transpose
	Transposes the elements of the handle object array. More...

	permute
	Rearranges the dimensions of the handle object array. See the MATLAB permute function. More...

	reshape
	hanges the dimensions of the handle object array to the specified dimensions. See the MATLAB reshape function. More...

	sort
	ort the handle objects in any array in ascending or descending order. More...

Static Protected Member Functions inherited from fem.BaseFEM
static function res =	test_BasisFun (subclass)

Constructor & Destructor Documentation

fem.HexahedronTriquadratic.HexahedronTriquadratic ( geo )

Definition at line 29 of file HexahedronTriquadratic.m.

Member Function Documentation

function fem.HexahedronTriquadratic.generateN_dN ( )

static

Little hack to generate the appropriate basis function expressions.

Definition at line 146 of file HexahedronTriquadratic.m.

References handle.disp, gradN(), k, N(), and t.

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function dNx = fem.HexahedronTriquadratic.gradN ( colvec< double > x )

Definition at line 102 of file HexahedronTriquadratic.m.

Referenced by generateN_dN().

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function Nx = fem.HexahedronTriquadratic.N ( colvec< double > x )

Triquadratic basis functions.

Parameters

x	The state variable vector \(\vx(t)\)

Definition at line 37 of file HexahedronTriquadratic.m.

Referenced by generateN_dN().

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static function res = fem.HexahedronTriquadratic.test_QuadraticBasisFun ( )

static

Definition at line 135 of file HexahedronTriquadratic.m.

References t, X, and Y.

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

core/+fem/HexahedronTriquadratic.m

Detailed Description

Public Member Functions

Static Public Member Functions

Additional Inherited Members

Constructor & Destructor Documentation

Member Function Documentation