1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
|
/*=========================================================================
*
* Copyright NumFOCUS
*
* Licensed under the Apache License, Version 2.0 (the "License");
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* https://www.apache.org/licenses/LICENSE-2.0.txt
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*
*=========================================================================*/
#ifndef itkFEMElement2DC0LinearLine_h
#define itkFEMElement2DC0LinearLine_h
#include "itkFEMElementStd.h"
#include "ITKFEMExport.h"
namespace itk
{
namespace fem
{
/**
* \class Element2DC0LinearLine
* \brief 2-noded, linear, C0 continuous line element in 2D space.
* takes loads only along the length of the axis
* \ingroup ITKFEM
*/
class ITKFEM_EXPORT Element2DC0LinearLine : public ElementStd<2, 2>
{
public:
/** Standard class type aliases. */
using Self = Element2DC0LinearLine;
using TemplatedParentClass = ElementStd<2, 2>;
using Superclass = TemplatedParentClass;
using Pointer = SmartPointer<Self>;
using ConstPointer = SmartPointer<const Self>;
/** \see LightObject::GetNameOfClass() */
itkOverrideGetNameOfClassMacro(Element2DC0LinearLine);
// ////////////////////////////////////////////////////////////////////////
/**
* Methods related to numeric integration
*/
enum
{
DefaultIntegrationOrder = 1
};
/** Get the Integration point and weight */
void
GetIntegrationPointAndWeight(unsigned int i, VectorType & pt, Float & w, unsigned int order) const override;
/** Get the number of integration points */
unsigned int
GetNumberOfIntegrationPoints(unsigned int order) const override;
// ////////////////////////////////////////////////////////////////////////
/**
* Methods related to the geometry of an element
*/
/** Return the shape functions used to interpolate across the element */
VectorType
ShapeFunctions(const VectorType & pt) const override;
/** Return the shape functions derivatives in the shapeD matrix */
void
ShapeFunctionDerivatives(const VectorType & pt, MatrixType & shapeD) const override;
/**
* Get parametric/local coordinates given global coordinates. The function returns true if the
* global coordinate is within the element else returns false.
* For a line, line length*1e-4 is used as the tolerance
*/
bool
GetLocalFromGlobalCoordinates(const VectorType & globalPt, VectorType & localPt) const override;
/**
* We need to provide our own implementation of calculating Jacobian,
* because the element lives in 2D space and has only one dimension.
* The default implementation of Jacobian in the Element base class
* is not correct since it assumes that the number of element dimensions
* is equal to the number of spatial dimensions.
*
* Jacobian is a scalar for this element.
*/
void
Jacobian(const VectorType & pt, MatrixType & J, const MatrixType * pshapeD = nullptr) const override;
/**
* Distance of a point to a line.(Used in GetLocalFromGlobalCoordinates ).
*/
Float
DistanceToLine(const VectorType & x,
const VectorType & p1,
const VectorType & p2,
Float & t,
VectorType & closestPoint) const;
protected:
void
PrintSelf(std::ostream & os, Indent indent) const override;
void
PopulateEdgeIds() override; // HACK: Should PopulateEdgeIds
// be const or not in this
// hierarchy. Sometimes it is,
// sometimes it is not.
};
} // end namespace fem
} // end namespace itk
#endif // itkFEMElement2DC0LinearLine_h
|
