Struct ae108::elements::ForceElement

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

ClassList > ae108 > elements > ForceElement

A single-cell element that applies a force on the nodes of that cells. More...

• #include <ForceElement.h>

Public Types

Type	Name
typedef ForceElement< Dimension_, NodesPerElement, Dofs_, ValueType_, RealType_ >	Element
typedef RealType_	Energy
typedef tensor::Tensor< Value, NumVerts, DegreesOfFreedom >	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 = Dofs\_ Number of degrees of freedom.
const Size	Dimension = Dimension\_
const Size	NumVerts = NodesPerElement 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.
Element::StiffnessMatrix	computeStiffnessMatrix (const NodalDisplacements &, const Time &) noexcept const Computes the stiffness matrix for the given displacements.

Detailed Description

Template parameters:

• Dimension_
• NodesPerElement
• Dofs_ Minimum of 2 nodes per cell
• ValueType_
• RealType_

Public Types Documentation

typedef Element

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

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typedef Energy

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

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typedef Force

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

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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_, NodesPerElement, Dofs_, ValueType_, RealType_ >::Forces =  NodalDisplacements;

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typedef NodalDisplacements

The displacements per node.

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

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typedef Real

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

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typedef Size

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

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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_, NodesPerElement, Dofs_, ValueType_, RealType_ >::StiffnessMatrix =  Eigen::Matrix<Value, NumVerts * DegreesOfFreedom, NumVerts * DegreesOfFreedom, Eigen::RowMajor>;

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typedef Time

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

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typedef Value

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

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Public Attributes Documentation

variable force

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

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Public Static Attributes Documentation

variable DegreesOfFreedom

Number of degrees of freedom.

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

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variable Dimension

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

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variable NumVerts

Number of element nodes / shape functions.

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

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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

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function computeForces

Computes the forces for the given displacements.

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

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function computeStiffnessMatrix

Computes the stiffness matrix for the given displacements.

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

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