ITK  4.13.0
Insight Segmentation and Registration Toolkit
Public Types | Public Member Functions | Protected Member Functions | Protected Attributes | List of all members
itk::fem::Element2DMembrane< TBaseClass > Class Template Reference

#include <itkFEMElement2DMembrane.h>

+ Inheritance diagram for itk::fem::Element2DMembrane< TBaseClass >:
+ Collaboration diagram for itk::fem::Element2DMembrane< TBaseClass >:

Detailed Description

template<typename TBaseClass = Element>
class itk::fem::Element2DMembrane< TBaseClass >

Class that is used to define a membrane energy problem in 2D space.

This class only defines the physics of the problem. Use his class together with element classes that specify the geometry to fully define the element.

A membrane element a two dimensional flat extensional element. There are two in plane displacement DOF's at each node of the element. The elements can be used to model two dimensional elasticity problems, plane strain and plane stress. The membrane element has no rotational stiffness or stiffness normal to the plane of the element. It can be situated arbitrarily in space but the resultant forces must lie in the plane of the element.

You can specify one template parameter:

TBaseClass - Class from which Element2DMembrane is derived. TBaseClass must be derived from the Element base class. This enables you to use this class at any level of element definition. If not specified, it defaults to the Element base class.

Definition at line 53 of file itkFEMElement2DMembrane.h.

Public Types

typedef SmartPointer< const SelfConstPointer
 
typedef Superclass::Float Float
 
typedef Superclass::MatrixType MatrixType
 
typedef SmartPointer< SelfPointer
 
typedef Element2DMembrane Self
 
typedef TBaseClass Superclass
 
typedef Superclass::VectorType VectorType
 

Public Member Functions

 Element2DMembrane ()
 
void GetMassMatrix (MatrixType &Me) const override
 
virtual Material::ConstPointer GetMaterial (void) const override
 
virtual void GetMaterialMatrix (MatrixType &D) const override
 
virtual const char * GetNameOfClass () const
 
virtual unsigned int GetNumberOfDegreesOfFreedomPerNode (void) const override
 
virtual void GetStrainDisplacementMatrix (MatrixType &B, const MatrixType &shapeDgl) const override
 
virtual void SetMaterial (Material::ConstPointer mat_) override
 

Protected Member Functions

virtual void PrintSelf (std::ostream &os, Indent indent) const override
 

Protected Attributes

const MaterialLinearElasticitym_mat
 

Member Typedef Documentation

template<typename TBaseClass = Element>
typedef SmartPointer<const Self> itk::fem::Element2DMembrane< TBaseClass >::ConstPointer

Definition at line 61 of file itkFEMElement2DMembrane.h.

template<typename TBaseClass = Element>
typedef Superclass::Float itk::fem::Element2DMembrane< TBaseClass >::Float

Definition at line 64 of file itkFEMElement2DMembrane.h.

template<typename TBaseClass = Element>
typedef Superclass::MatrixType itk::fem::Element2DMembrane< TBaseClass >::MatrixType

Definition at line 68 of file itkFEMElement2DMembrane.h.

template<typename TBaseClass = Element>
typedef SmartPointer<Self> itk::fem::Element2DMembrane< TBaseClass >::Pointer

Definition at line 60 of file itkFEMElement2DMembrane.h.

template<typename TBaseClass = Element>
typedef Element2DMembrane itk::fem::Element2DMembrane< TBaseClass >::Self

Standard class typedefs.

Definition at line 58 of file itkFEMElement2DMembrane.h.

template<typename TBaseClass = Element>
typedef TBaseClass itk::fem::Element2DMembrane< TBaseClass >::Superclass

Definition at line 59 of file itkFEMElement2DMembrane.h.

template<typename TBaseClass = Element>
typedef Superclass::VectorType itk::fem::Element2DMembrane< TBaseClass >::VectorType

Definition at line 69 of file itkFEMElement2DMembrane.h.

Constructor & Destructor Documentation

template<typename TBaseClass = Element>
itk::fem::Element2DMembrane< TBaseClass >::Element2DMembrane ( )

Default constructor only clears the internal storage

Member Function Documentation

template<typename TBaseClass = Element>
void itk::fem::Element2DMembrane< TBaseClass >::GetMassMatrix ( MatrixType Me) const
override

Compute the mass matrix specific for 2D stress problems.

template<typename TBaseClass = Element>
virtual Material::ConstPointer itk::fem::Element2DMembrane< TBaseClass >::GetMaterial ( void  ) const
inlineoverridevirtual

Get/Set the material properties for the element

Definition at line 107 of file itkFEMElement2DMembrane.h.

template<typename TBaseClass = Element>
virtual void itk::fem::Element2DMembrane< TBaseClass >::GetMaterialMatrix ( MatrixType D) const
overridevirtual

Compute the D matrix.

template<typename TBaseClass = Element>
virtual const char* itk::fem::Element2DMembrane< TBaseClass >::GetNameOfClass ( ) const
virtual

Run-time type information (and related methods).

Reimplemented in itk::fem::Element2DC0LinearTriangularMembrane, and itk::fem::Element2DC0LinearQuadrilateralMembrane.

template<typename TBaseClass = Element>
virtual unsigned int itk::fem::Element2DMembrane< TBaseClass >::GetNumberOfDegreesOfFreedomPerNode ( void  ) const
inlineoverridevirtual

2D stress elements have 2 DOFs per node.

Definition at line 99 of file itkFEMElement2DMembrane.h.

template<typename TBaseClass = Element>
virtual void itk::fem::Element2DMembrane< TBaseClass >::GetStrainDisplacementMatrix ( MatrixType B,
const MatrixType shapeDgl 
) const
overridevirtual

Methods related to the physics of the problem. Compute the B matrix.

template<typename TBaseClass = Element>
virtual void itk::fem::Element2DMembrane< TBaseClass >::PrintSelf ( std::ostream &  os,
Indent  indent 
) const
overrideprotectedvirtual
template<typename TBaseClass = Element>
virtual void itk::fem::Element2DMembrane< TBaseClass >::SetMaterial ( Material::ConstPointer  mat_)
inlineoverridevirtual

Definition at line 112 of file itkFEMElement2DMembrane.h.

Member Data Documentation

template<typename TBaseClass = Element>
const MaterialLinearElasticity* itk::fem::Element2DMembrane< TBaseClass >::m_mat
protected

Pointer to material properties for the element

Definition at line 125 of file itkFEMElement2DMembrane.h.


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