This module encapsulate the basic functions of all elements provide by this software. More...

Functions/Subroutines
integer(kind=kind(2)) function	getspacedimension (etype)
	Obtain the space dimension of the element. More...

integer(kind=kind(2)) function	getnumberofnodes (etype)
	Obtain number of nodes of the element. More...

integer(kind=kind(2)) function	getnumberofsubface (etype)
	Obtain number of sub-surface. More...

subroutine	getsubface (intype, innumber, outtype, nodes)
	Find the definition of surface of the element. More...

integer function	numofquadpoints (fetype)
	Obtains the number of quadrature points of the element. More...

subroutine	getquadpoint (fetype, np, pos)
	Fetch the coordinate of gauss point. More...

real(kind=kreal) function	getweight (fetype, np)
	Fetch the weight value in given gauss point. More...

subroutine	getshapederiv (fetype, localcoord, shapederiv)
	Calculate derivatives of shape function in natural coordinate system. More...

subroutine	getshape2ndderiv (fetype, localcoord, shapederiv)
	Calculate the 2nd derivative of shape function in natural coordinate system. More...

subroutine	getshapefunc (fetype, localcoord, func)
	Calculate the shape function in natural coordinate system. More...

subroutine	getnodalnaturalcoord (fetype, nncoord)

subroutine	getglobalderiv (fetype, nn, localcoord, elecoord, det, gderiv)
	Calculate shape derivative in global coordinate system. More...

real(kind=kreal) function	getdeterminant (fetype, nn, localcoord, elecoord)
	Calculate shape derivative in global coordinate system. More...

subroutine	getjacobian (fetype, nn, localcoord, elecoord, det, jacobian, inverse)
	calculate Jacobian matrix, its determinant and inverse More...

real(kind=kreal) function, dimension(3)	surfacenormal (fetype, nn, localcoord, elecoord)
	Calculate normal of 3d-surface. More...

real(kind=kreal) function, dimension(2)	edgenormal (fetype, nn, localcoord, elecoord)
	Calculate normal of 2d-edge. More...

subroutine	tangentbase (fetype, nn, localcoord, elecoord, tangent)
	Calculate base vector of tangent space of 3d surface. More...

subroutine	curvature (fetype, nn, localcoord, elecoord, l2ndderiv, normal, curv)
	Calculate curvature tensor at a point along 3d surface. More...

subroutine	getelementcenter (fetype, localcoord)
	Return natural coordinate of the center of surface element. More...

integer function	isinsideelement (fetype, localcoord, clearance)
	if a point is inside a surface element -1: No; 0: Yes; >0: Node's (vertex) number More...

integer function	isinside3delement (fetype, localcoord, clearance)
	if a point is inside a surface element -1: No; 0: Yes; >0: Node's (vertex) number More...

subroutine	getvertexcoord (fetype, cnode, localcoord)
	Get the natural coord of a vertex node. More...

subroutine	extrapolatevalue (lpos, fetype, nnode, pvalue, ndvalue)
	This subroutine extrapolate a point value into elemental nodes. More...

subroutine	interapolatevalue (lpos, fetype, nnode, pvalue, ndvalue)
	This subroutine interapolate element nodes value into a point value. More...

subroutine	gauss2node (fetype, gaussv, nodev)
	This subroutine extroplate value in quadrature point to element nodes. More...

real(kind=kreal) function	getreferencelength (fetype, nn, localcoord, elecoord)
	This function calculates reference length at a point in surface. More...

Variables
integer, parameter	fe_unknown = -1

integer, parameter	fe_line2n = 111

integer, parameter	fe_line3n = 112

integer, parameter	fe_tri3n = 231

integer, parameter	fe_tri6n = 232

integer, parameter	fe_tri6nc = 2322

integer, parameter	fe_quad4n = 241

integer, parameter	fe_quad8n = 242

integer, parameter	fe_truss = 301

integer, parameter	fe_tet4n = 341

integer, parameter	fe_tet4n_pipi = 3414

integer, parameter	fe_tet10n = 342

integer, parameter	fe_tet10nc = 3422

integer, parameter	fe_prism6n = 351

integer, parameter	fe_prism15n = 352

integer, parameter	fe_hex8n = 361

integer, parameter	fe_hex20n = 362

integer, parameter	fe_hex27n = 363

integer, parameter	fe_if_line2n = 511

integer, parameter	fe_beam2n = 611

integer, parameter	fe_beam3n = 612

integer, parameter	fe_beam341 = 641

integer, parameter	fe_tri6n_shell = 732

integer, parameter	fe_dsg3_shell = 733

integer, parameter	fe_mitc3_shell = 731

integer, parameter	fe_mitc4_shell = 741

integer, parameter	fe_mitc8_shell = 742

integer, parameter	fe_mitc9_shell = 743

integer, parameter	fe_mitc3_shell361 = 761

integer, parameter	fe_mitc4_shell361 = 781

integer, parameter	fe_nodesmooth_tet4n = 881

integer, parameter	fe_edgesmooth_tet4n = 891

integer, parameter	fe_tri3n_patch = 1031

integer, parameter	fe_tri6n_patch = 1032

integer, parameter	fe_quad4n_patch = 1041

integer, parameter	fe_quad8n_patch = 1042

Detailed Description

This module encapsulate the basic functions of all elements provide by this software.

After providing a specified elemental type, this module provide functions to fetch

Space dimension
Number of elements' nodes
Suggested number of quadrature points
Quadrature position and weight
Shape function, first and second derivatives of shape functions in natural coordinate
Elemental surfaces (Nodes' number)

Those would be supposed to adopt this module include

Those need to calculate shape function, shape derivatives in global or user-defined coordinate system.
Those need to do quadrature calculation.
Those need to fetch the information of sub-surfaces ( when calculate external surface load, e.g.)
And something else ...

Author
Xi YUAN (AdavanceSoft)

Date
2009/04/16

Version
0.00

Function/Subroutine Documentation

◆ curvature()

subroutine elementinfo::curvature	(	integer, intent(in)	fetype,
		integer, intent(in)	nn,
		real(kind=kreal), dimension(2), intent(in)	localcoord,
		real(kind=kreal), dimension(3,nn), intent(in)	elecoord,
		real(kind=kreal), dimension(3,2,2), intent(out)	l2ndderiv,
		real(kind=kreal), dimension(3), intent(in), optional	normal,
		real(kind=kreal), dimension(2,2), intent(out), optional	curv
	)

Calculate curvature tensor at a point along 3d surface.

Parameters

[in]	fetype	type of surface element
[in]	nn	number of elemental nodes
[in]	localcoord	position
[in]	elecoord	nodes coordinates of element
[out]	l2ndderiv	2nd derivative of shape function
[in]	normal	normal direction of surface
[out]	curv	curvature tensor

Definition at line 967 of file element.f90.

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◆ edgenormal()

real(kind=kreal) function, dimension(2) elementinfo::edgenormal	(	integer, intent(in)	fetype,
		integer, intent(in)	nn,
		real(kind=kreal), dimension(1), intent(in)	localcoord,
		real(kind=kreal), dimension(2,nn), intent(in)	elecoord
	)

Calculate normal of 2d-edge.

Parameters

[in]	fetype	type of surface element
[in]	nn	number of elemental nodes
[in]	localcoord	position
[in]	elecoord	nodes coordinates of element

Definition at line 905 of file element.f90.

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◆ extrapolatevalue()

subroutine elementinfo::extrapolatevalue	(	real(kind=kreal), dimension(:), intent(in)	lpos,
		integer, intent(in)	fetype,
		integer, intent(in)	nnode,
		real(kind=kreal), dimension(:), intent(in)	pvalue,
		real(kind=kreal), dimension(:,:), intent(out)	ndvalue
	)

This subroutine extrapolate a point value into elemental nodes.

Parameters

[in]	lpos	position of value given
[in]	fetype	element type
[in]	nnode	number of element node
[in]	pvalue	value to be extropolated
[out]	ndvalue	equivalent nodal value

Definition at line 1171 of file element.f90.

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◆ gauss2node()

subroutine elementinfo::gauss2node	(	integer, intent(in)	fetype,
		real(kind=kreal), dimension(:,:), intent(in)	gaussv,
		real(kind=kreal), dimension(:,:), intent(out)	nodev
	)

This subroutine extroplate value in quadrature point to element nodes.

Parameters

[in]	fetype	element type
[in]	gaussv	values in quadrature points
[out]	nodev	values in nodes

Definition at line 1204 of file element.f90.

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◆ getdeterminant()

real(kind=kreal) function elementinfo::getdeterminant	(	integer, intent(in)	fetype,
		integer, intent(in)	nn,
		real(kind=kreal), dimension(:), intent(in)	localcoord,
		real(kind=kreal), dimension(:,:), intent(in)	elecoord
	)

Calculate shape derivative in global coordinate system.

Parameters

[in]	fetype	element type
[in]	nn	number of elemental nodes
[in]	localcoord	curr position with natural coord
[in]	elecoord	nodal coord of curr element

Definition at line 792 of file element.f90.

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◆ getelementcenter()

subroutine elementinfo::getelementcenter	(	integer, intent(in)	fetype,
		real(kind=kreal), dimension(2), intent(out)	localcoord
	)

Return natural coordinate of the center of surface element.

Parameters

[in]	fetype	type of surface element
[out]	localcoord	center coordinate

Definition at line 1012 of file element.f90.

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◆ getglobalderiv()

subroutine elementinfo::getglobalderiv	(	integer, intent(in)	fetype,
		integer, intent(in)	nn,
		real(kind=kreal), dimension(:), intent(in)	localcoord,
		real(kind=kreal), dimension(:,:), intent(in)	elecoord,
		real(kind=kreal), intent(out)	det,
		real(kind=kreal), dimension(:,:), intent(out)	gderiv
	)

Calculate shape derivative in global coordinate system.

Parameters

[in]	fetype	element type
[in]	nn	number of elemental nodes
[in]	localcoord	curr position with natural coord
[in]	elecoord	nodal coord of curr element
[out]	det	nodal coord of curr element
[out]	gderiv	shape derivative in global coordinate system

Definition at line 741 of file element.f90.

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◆ getjacobian()

subroutine elementinfo::getjacobian	(	integer, intent(in)	fetype,
		integer, intent(in)	nn,
		real(kind=kreal), dimension(:), intent(in)	localcoord,
		real(kind=kreal), dimension(:,:), intent(in)	elecoord,
		real(kind=kreal), intent(out)	det,
		real(kind=kreal), dimension(:,:), intent(out)	jacobian,
		real(kind=kreal), dimension(:,:), intent(out)	inverse
	)

calculate Jacobian matrix, its determinant and inverse

Parameters

[in]	fetype	element type
[in]	nn	number of element nodes
[in]	localcoord	curr position with natural coord
[in]	elecoord	nodal coord of curr element
[out]	det	nodal coord of curr element
[out]	inverse	inverse of jacobian

Definition at line 820 of file element.f90.

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◆ getnodalnaturalcoord()

subroutine elementinfo::getnodalnaturalcoord	(	integer, intent(in)	fetype,
		real(kind = kreal), dimension(:, :), intent(out)	nncoord
	)

Definition at line 699 of file element.f90.

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◆ getnumberofnodes()

integer(kind=kind(2)) function elementinfo::getnumberofnodes ( integer, intent(in) etype )

Obtain number of nodes of the element.

Parameters

[in] etype element type

Definition at line 131 of file element.f90.

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◆ getnumberofsubface()

integer(kind=kind(2)) function elementinfo::getnumberofsubface ( integer, intent(in) etype )

Obtain number of sub-surface.

Parameters

[in] etype element type

Definition at line 168 of file element.f90.

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◆ getquadpoint()

subroutine elementinfo::getquadpoint	(	integer, intent(in)	fetype,
		integer, intent(in)	np,
		real(kind=kreal), dimension(:), intent(out)	pos
	)

Fetch the coordinate of gauss point.

Parameters

[in]	fetype	element type
[in]	np	number of curr quadrature point
[out]	pos	natural coord of curr quadrature point

Definition at line 489 of file element.f90.

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◆ getreferencelength()

real(kind=kreal) function elementinfo::getreferencelength	(	integer, intent(in)	fetype,
		integer, intent(in)	nn,
		real(kind=kreal), dimension(2), intent(in)	localcoord,
		real(kind=kreal), dimension(3,nn), intent(in)	elecoord
	)

This function calculates reference length at a point in surface.

Parameters

[in]	fetype	surface element type
[in]	nn	number of elemental nodes
[in]	localcoord	natural coordinates
[in]	elecoord	nodes coordinates of surface element

Definition at line 1259 of file element.f90.

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◆ getshape2ndderiv()

subroutine elementinfo::getshape2ndderiv	(	integer, intent(in)	fetype,
		real(kind=kreal), dimension(:), intent(in)	localcoord,
		real(kind=kreal), dimension(:,:,:), intent(out)	shapederiv
	)

Calculate the 2nd derivative of shape function in natural coordinate system.

Parameters

[in]	fetype	elemental type
[in]	localcoord	natural points
[out]	shapederiv	2nd order shape derivatives

Definition at line 622 of file element.f90.

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◆ getshapederiv()

subroutine elementinfo::getshapederiv	(	integer, intent(in)	fetype,
		real(kind=kreal), dimension(:), intent(in)	localcoord,
		real(kind=kreal), dimension(:,:), intent(out)	shapederiv
	)

Calculate derivatives of shape function in natural coordinate system.

Parameters

[in]	fetype	input element type
[in]	localcoord	natural points
[out]	shapederiv	derivative of shape function

Definition at line 578 of file element.f90.

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◆ getshapefunc()

subroutine elementinfo::getshapefunc	(	integer, intent(in)	fetype,
		real(kind=kreal), dimension(:), intent(in)	localcoord,
		real(kind=kreal), dimension(:), intent(out)	func
	)

Calculate the shape function in natural coordinate system.

Parameters

[in]	fetype	input element type
[in]	localcoord	natural points
[out]	func	shape function

Definition at line 647 of file element.f90.

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◆ getspacedimension()

integer(kind=kind(2)) function elementinfo::getspacedimension ( integer, intent(in) etype )

Obtain the space dimension of the element.

Parameters

[in] etype element type

Definition at line 117 of file element.f90.

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◆ getsubface()

subroutine elementinfo::getsubface	(	integer, intent(in)	intype,
		integer, intent(in)	innumber,
		integer, intent(out)	outtype,
		integer, dimension(:), intent(out)	nodes
	)

Find the definition of surface of the element.

Parameters

[in]	intype	input element type, with space dimension n
[in]	innumber	number of sub-surface
[out]	outtype	output element type, with space dimension n-1
[out]	nodes	output face nodes' ID

Definition at line 193 of file element.f90.

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◆ getvertexcoord()

subroutine elementinfo::getvertexcoord	(	integer, intent(in)	fetype,
		integer, intent(in)	cnode,
		real(kind=kreal), dimension(2), intent(out)	localcoord
	)

Get the natural coord of a vertex node.

Parameters

[in]	fetype	type of surface element
[in]	cnode	current node
[out]	localcoord	natural coord

Definition at line 1136 of file element.f90.

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◆ getweight()

real(kind=kreal) function elementinfo::getweight	(	integer, intent(in)	fetype,
		integer, intent(in)	np
	)

Fetch the weight value in given gauss point.

Parameters

[in]	fetype	element type
[in]	np	number of curr quadrature point

Definition at line 535 of file element.f90.

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◆ interapolatevalue()

subroutine elementinfo::interapolatevalue	(	real(kind=kreal), dimension(:), intent(in)	lpos,
		integer, intent(in)	fetype,
		integer, intent(in)	nnode,
		real(kind=kreal), dimension(:), intent(out)	pvalue,
		real(kind=kreal), dimension(:,:), intent(in)	ndvalue
	)

This subroutine interapolate element nodes value into a point value.

Parameters

[in]	lpos	position of value given
[in]	fetype	element type
[in]	nnode	number of element node
[out]	pvalue	value to be extropolated
[in]	ndvalue	equivalent nodal value

Definition at line 1187 of file element.f90.

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◆ isinside3delement()

integer function elementinfo::isinside3delement	(	integer, intent(in)	fetype,
		real(kind=kreal), dimension(3), intent(inout)	localcoord,
		real(kind=kreal), optional	clearance
	)

if a point is inside a surface element -1: No; 0: Yes; >0: Node's (vertex) number

Parameters

[in]	fetype	type of surface element
[in,out]	localcoord	natural coord
	clearance	clearance used for judgement

Definition at line 1094 of file element.f90.

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◆ isinsideelement()

integer function elementinfo::isinsideelement	(	integer, intent(in)	fetype,
		real(kind=kreal), dimension(2), intent(inout)	localcoord,
		real(kind=kreal), optional	clearance
	)

if a point is inside a surface element -1: No; 0: Yes; >0: Node's (vertex) number

Parameters

[in]	fetype	type of surface element
[in,out]	localcoord	natural coord
	clearance	clearance used for judgement

Definition at line 1029 of file element.f90.

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◆ numofquadpoints()

integer function elementinfo::numofquadpoints ( integer, intent(in) fetype )

Obtains the number of quadrature points of the element.

Parameters

[in] fetype element type

Definition at line 450 of file element.f90.

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◆ surfacenormal()

real(kind=kreal) function, dimension(3) elementinfo::surfacenormal	(	integer, intent(in)	fetype,
		integer, intent(in)	nn,
		real(kind=kreal), dimension(2), intent(in)	localcoord,
		real(kind=kreal), dimension(3,nn), intent(in)	elecoord
	)

Calculate normal of 3d-surface.

Parameters

[in]	fetype	type of surface element
[in]	nn	number of elemental nodes
[in]	localcoord	position
[in]	elecoord	nodes coordinates of element

Definition at line 870 of file element.f90.

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◆ tangentbase()

subroutine elementinfo::tangentbase	(	integer, intent(in)	fetype,
		integer, intent(in)	nn,
		real(kind=kreal), dimension(2), intent(in)	localcoord,
		real(kind=kreal), dimension(3,nn), intent(in)	elecoord,
		real(kind=kreal), dimension(3,2), intent(out)	tangent
	)

Calculate base vector of tangent space of 3d surface.

Parameters

[in]	fetype	type of surface element
[in]	nn	number of elemental nodes
[in]	localcoord	position
[in]	elecoord	nodes coordinates of element
[out]	tangent	two tangent vectors

Definition at line 933 of file element.f90.

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Variable Documentation

◆ fe_beam2n

integer, parameter elementinfo::fe_beam2n = 611

Definition at line 87 of file element.f90.

◆ fe_beam341

integer, parameter elementinfo::fe_beam341 = 641

Definition at line 89 of file element.f90.

◆ fe_beam3n

integer, parameter elementinfo::fe_beam3n = 612

Definition at line 88 of file element.f90.

◆ fe_dsg3_shell

integer, parameter elementinfo::fe_dsg3_shell = 733

Definition at line 92 of file element.f90.

◆ fe_edgesmooth_tet4n

integer, parameter elementinfo::fe_edgesmooth_tet4n = 891

Definition at line 102 of file element.f90.

◆ fe_hex20n

integer, parameter elementinfo::fe_hex20n = 362

Definition at line 82 of file element.f90.

◆ fe_hex27n

integer, parameter elementinfo::fe_hex27n = 363

Definition at line 83 of file element.f90.

◆ fe_hex8n

integer, parameter elementinfo::fe_hex8n = 361

Definition at line 81 of file element.f90.

◆ fe_if_line2n

integer, parameter elementinfo::fe_if_line2n = 511

Definition at line 85 of file element.f90.

◆ fe_line2n

integer, parameter elementinfo::fe_line2n = 111

Definition at line 67 of file element.f90.

◆ fe_line3n

integer, parameter elementinfo::fe_line3n = 112

Definition at line 68 of file element.f90.

◆ fe_mitc3_shell

integer, parameter elementinfo::fe_mitc3_shell = 731

Definition at line 93 of file element.f90.

◆ fe_mitc3_shell361

integer, parameter elementinfo::fe_mitc3_shell361 = 761

Definition at line 98 of file element.f90.

◆ fe_mitc4_shell

integer, parameter elementinfo::fe_mitc4_shell = 741

Definition at line 94 of file element.f90.

◆ fe_mitc4_shell361

integer, parameter elementinfo::fe_mitc4_shell361 = 781

Definition at line 99 of file element.f90.

◆ fe_mitc8_shell

integer, parameter elementinfo::fe_mitc8_shell = 742

Definition at line 95 of file element.f90.

◆ fe_mitc9_shell

integer, parameter elementinfo::fe_mitc9_shell = 743

Definition at line 96 of file element.f90.

◆ fe_nodesmooth_tet4n

integer, parameter elementinfo::fe_nodesmooth_tet4n = 881

Definition at line 101 of file element.f90.

◆ fe_prism15n

integer, parameter elementinfo::fe_prism15n = 352

Definition at line 80 of file element.f90.

◆ fe_prism6n

integer, parameter elementinfo::fe_prism6n = 351

Definition at line 79 of file element.f90.

◆ fe_quad4n

integer, parameter elementinfo::fe_quad4n = 241

Definition at line 72 of file element.f90.

◆ fe_quad4n_patch

integer, parameter elementinfo::fe_quad4n_patch = 1041

Definition at line 106 of file element.f90.

◆ fe_quad8n

integer, parameter elementinfo::fe_quad8n = 242

Definition at line 73 of file element.f90.

◆ fe_quad8n_patch

integer, parameter elementinfo::fe_quad8n_patch = 1042

Definition at line 107 of file element.f90.

◆ fe_tet10n

integer, parameter elementinfo::fe_tet10n = 342

Definition at line 77 of file element.f90.

◆ fe_tet10nc

integer, parameter elementinfo::fe_tet10nc = 3422

Definition at line 78 of file element.f90.

◆ fe_tet4n

integer, parameter elementinfo::fe_tet4n = 341

Definition at line 75 of file element.f90.

◆ fe_tet4n_pipi

integer, parameter elementinfo::fe_tet4n_pipi = 3414

Definition at line 76 of file element.f90.

◆ fe_tri3n

integer, parameter elementinfo::fe_tri3n = 231

Definition at line 69 of file element.f90.

◆ fe_tri3n_patch

integer, parameter elementinfo::fe_tri3n_patch = 1031

Definition at line 104 of file element.f90.

◆ fe_tri6n

integer, parameter elementinfo::fe_tri6n = 232

Definition at line 70 of file element.f90.

◆ fe_tri6n_patch

integer, parameter elementinfo::fe_tri6n_patch = 1032

Definition at line 105 of file element.f90.

◆ fe_tri6n_shell

integer, parameter elementinfo::fe_tri6n_shell = 732

Definition at line 91 of file element.f90.

◆ fe_tri6nc

integer, parameter elementinfo::fe_tri6nc = 2322

Definition at line 71 of file element.f90.

◆ fe_truss

integer, parameter elementinfo::fe_truss = 301

Definition at line 74 of file element.f90.

◆ fe_unknown

integer, parameter elementinfo::fe_unknown = -1

Definition at line 65 of file element.f90.

Functions/Subroutines

Variables

Detailed Description

Function/Subroutine Documentation

◆ curvature()

◆ edgenormal()

◆ extrapolatevalue()

◆ gauss2node()

◆ getdeterminant()

◆ getelementcenter()

◆ getglobalderiv()

◆ getjacobian()

◆ getnodalnaturalcoord()

◆ getnumberofnodes()

◆ getnumberofsubface()

◆ getquadpoint()

◆ getreferencelength()

◆ getshape2ndderiv()

◆ getshapederiv()

◆ getshapefunc()

◆ getspacedimension()

◆ getsubface()

◆ getvertexcoord()

◆ getweight()

◆ interapolatevalue()

◆ isinside3delement()

◆ isinsideelement()

◆ numofquadpoints()

◆ surfacenormal()

◆ tangentbase()

Variable Documentation

◆ fe_beam2n

◆ fe_beam341

◆ fe_beam3n

◆ fe_dsg3_shell

◆ fe_edgesmooth_tet4n

◆ fe_hex20n

◆ fe_hex27n

◆ fe_hex8n

◆ fe_if_line2n

◆ fe_line2n

◆ fe_line3n

◆ fe_mitc3_shell

◆ fe_mitc3_shell361

◆ fe_mitc4_shell

◆ fe_mitc4_shell361

◆ fe_mitc8_shell

◆ fe_mitc9_shell

◆ fe_nodesmooth_tet4n

◆ fe_prism15n

◆ fe_prism6n

◆ fe_quad4n

◆ fe_quad4n_patch

◆ fe_quad8n

◆ fe_quad8n_patch

◆ fe_tet10n

◆ fe_tet10nc

◆ fe_tet4n

◆ fe_tet4n_pipi

◆ fe_tri3n

◆ fe_tri3n_patch

◆ fe_tri6n

◆ fe_tri6n_patch

◆ fe_tri6n_shell

◆ fe_tri6nc

◆ fe_truss

◆ fe_unknown