Struct ae108::elements::ElementBase

template <class Derived_, class SizeType_, class ValueType_, class RealType_, SizeType_ Size_, SizeType_ Dimension_, SizeType_ DegreesOfFreedom_>

ClassList > ae108 > elements > ElementBase

Public Types

Type	Name
typedef real_type	Energy
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_type, Size_, DegreesOfFreedom_ >	NodalDisplacements The displacements per node.
typedef Eigen::Matrix< value_type, Size_ *DegreesOfFreedom_, Size_ *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 real_type	Time
typedef RealType_	real_type
typedef SizeType_	size_type
typedef ValueType_	value_type

Public Functions

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

Public Static Functions

Type	Name
constexpr size_type	degrees_of_freedom () noexcept Number of degrees of freedom.
constexpr size_type	dimension () noexcept The dimension of physical space.
constexpr size_type	size () noexcept Number of element nodes / shape functions.

Public Types Documentation

typedef Energy

using ae108::elements::ElementBase< Derived_, SizeType_, ValueType_, RealType_, Size_, Dimension_, DegreesOfFreedom_ >::Energy =  real_type;

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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::ElementBase< Derived_, SizeType_, ValueType_, RealType_, Size_, Dimension_, DegreesOfFreedom_ >::Forces =  NodalDisplacements;

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typedef NodalDisplacements

The displacements per node.

using ae108::elements::ElementBase< Derived_, SizeType_, ValueType_, RealType_, Size_, Dimension_, DegreesOfFreedom_ >::NodalDisplacements =  tensor::Tensor<value_type, Size_, DegreesOfFreedom_>;

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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::ElementBase< Derived_, SizeType_, ValueType_, RealType_, Size_, Dimension_, DegreesOfFreedom_ >::StiffnessMatrix =  Eigen::Matrix<value_type, Size_ * DegreesOfFreedom_, Size_ * DegreesOfFreedom_, Eigen::RowMajor>;

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typedef Time

using ae108::elements::ElementBase< Derived_, SizeType_, ValueType_, RealType_, Size_, Dimension_, DegreesOfFreedom_ >::Time =  real_type;

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typedef real_type

using ae108::elements::ElementBase< Derived_, SizeType_, ValueType_, RealType_, Size_, Dimension_, DegreesOfFreedom_ >::real_type =  RealType_;

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typedef size_type

using ae108::elements::ElementBase< Derived_, SizeType_, ValueType_, RealType_, Size_, Dimension_, DegreesOfFreedom_ >::size_type =  SizeType_;

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typedef value_type

using ae108::elements::ElementBase< Derived_, SizeType_, ValueType_, RealType_, Size_, Dimension_, DegreesOfFreedom_ >::value_type =  ValueType_;

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Public Functions Documentation

function computeEnergy

Computes the energy for the given displacements.

inline Energy ae108::elements::ElementBase::computeEnergy (
    const NodalDisplacements & displacements,
    const Time & time
) const

Remark:

Delegates to the corresponding free function.

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function computeForces

Computes the forces for the given displacements.

inline Forces ae108::elements::ElementBase::computeForces (
    const NodalDisplacements & displacements,
    const Time & time
) const

Remark:

Delegates to the corresponding free function.

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function computeStiffnessMatrix

Computes the stiffness matrix for the given displacements.

inline StiffnessMatrix ae108::elements::ElementBase::computeStiffnessMatrix (
    const NodalDisplacements & displacements,
    const Time & time
) const

Remark:

Delegates to the corresponding free function.

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Public Static Functions Documentation

function degrees_of_freedom

Number of degrees of freedom.

static inline constexpr size_type ae108::elements::ElementBase::degrees_of_freedom () noexcept

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function dimension

The dimension of physical space.

static inline constexpr size_type ae108::elements::ElementBase::dimension () noexcept

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function size

Number of element nodes / shape functions.

static inline constexpr size_type ae108::elements::ElementBase::size () noexcept

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