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Struct ae108::elements::ForceElement

template <std::size_t Dimension_, class ValueType_, class RealType_>

ClassList > ae108 > elements > ForceElement

A single-vertex element that applies a force at that vertex.

  • #include <ForceElement.h>

Public Types

Type Name
typedef ForceElement< Dimension_, ValueType_, RealType_ > Element
typedef RealType_ Energy
typedef tensor::Tensor< Value, Dimension > Force
typedef NodalDisplacements Forces
The forces equal to $d_{ij} E$. Here, d_ij refers to the derivative with respect to jth degree of freedom of the ith node.
typedef tensor::Tensor< Value, NumVerts, DegreesOfFreedom > NodalDisplacements
The displacements per node.
typedef RealType_ Real
typedef std::size_t Size
typedef Eigen::Matrix< Value, NumVerts *DegreesOfFreedom, NumVerts *DegreesOfFreedom, Eigen::RowMajor > StiffnessMatrix
The stiffness matrix equal to $d_{ij} d_{kl} E$. Here, d_ij refers to the derivative with respect to jth degree of freedom of the ith node.
typedef RealType_ Time
typedef ValueType_ Value

Public Attributes

Type Name
Force force

Public Static Attributes

Type Name
const Size DegreesOfFreedom = Dimension\_
Number of degrees of freedom.
const Size Dimension = Dimension\_
const Size NumVerts = 1
Number of element nodes / shape functions.

Public Functions

Type Name
Energy computeEnergy (const NodalDisplacements & u, const Time &) noexcept const
Computes the energy for the given displacements.
Forces computeForces (const NodalDisplacements &, const Time &) noexcept const
Computes the forces for the given displacements.
StiffnessMatrix computeStiffnessMatrix (const NodalDisplacements &, const Time &) noexcept const
Computes the stiffness matrix for the given displacements.

Public Types Documentation

typedef Element

using ae108::elements::ForceElement< Dimension_, ValueType_, RealType_ >::Element =  ForceElement<Dimension_, ValueType_, RealType_>;

typedef Energy

using ae108::elements::ForceElement< Dimension_, ValueType_, RealType_ >::Energy =  RealType_;

typedef Force

using ae108::elements::ForceElement< Dimension_, ValueType_, RealType_ >::Force =  tensor::Tensor<Value, Dimension>;

typedef Forces

The forces equal to $d_{ij} E$. Here, d_ij refers to the derivative with respect to jth degree of freedom of the ith node. 

using ae108::elements::ForceElement< Dimension_, ValueType_, RealType_ >::Forces =  NodalDisplacements;

typedef NodalDisplacements

The displacements per node. 

using ae108::elements::ForceElement< Dimension_, ValueType_, RealType_ >::NodalDisplacements =  tensor::Tensor<Value, NumVerts, DegreesOfFreedom>;

typedef Real

using ae108::elements::ForceElement< Dimension_, ValueType_, RealType_ >::Real =  RealType_;

typedef Size

using ae108::elements::ForceElement< Dimension_, ValueType_, RealType_ >::Size =  std::size_t;

typedef StiffnessMatrix

The stiffness matrix equal to $d_{ij} d_{kl} E$. Here, d_ij refers to the derivative with respect to jth degree of freedom of the ith node. 

using ae108::elements::ForceElement< Dimension_, ValueType_, RealType_ >::StiffnessMatrix =  Eigen::Matrix<Value, NumVerts * DegreesOfFreedom, NumVerts * DegreesOfFreedom, Eigen::RowMajor>;

typedef Time

using ae108::elements::ForceElement< Dimension_, ValueType_, RealType_ >::Time =  RealType_;

typedef Value

using ae108::elements::ForceElement< Dimension_, ValueType_, RealType_ >::Value =  ValueType_;

Public Attributes Documentation

variable force

Force ae108::elements::ForceElement< Dimension_, ValueType_, RealType_ >::force;

Public Static Attributes Documentation

variable DegreesOfFreedom

Number of degrees of freedom. 

const Size ae108::elements::ForceElement< Dimension_, ValueType_, RealType_ >::DegreesOfFreedom;

variable Dimension

const Size ae108::elements::ForceElement< Dimension_, ValueType_, RealType_ >::Dimension;

variable NumVerts

Number of element nodes / shape functions. 

const Size ae108::elements::ForceElement< Dimension_, ValueType_, RealType_ >::NumVerts;

Public Functions Documentation

function computeEnergy

Computes the energy for the given displacements. 

inline Energy ae108::elements::ForceElement::computeEnergy (
    const NodalDisplacements & u,
    const Time &
) noexcept const

function computeForces

Computes the forces for the given displacements. 

inline Forces ae108::elements::ForceElement::computeForces (
    const NodalDisplacements &,
    const Time &
) noexcept const

function computeStiffnessMatrix

Computes the stiffness matrix for the given displacements. 

inline StiffnessMatrix ae108::elements::ForceElement::computeStiffnessMatrix (
    const NodalDisplacements &,
    const Time &
) noexcept const

The documentation for this class was generated from the following file elements/src/include/ae108/elements/ForceElement.h