Struct ae108::elements::CoreElement

template <class MaterialModel_, class Integrator_, class ValueType_, class RealType_>

ClassList > ae108 > elements > CoreElement

An element that computes energy, forces, and stiffness matrix using a material model and an integrator.

Inherits the following classes: ae108::elements::ElementBase

Public Types

Type	Name
typedef Integrator_	Integrator
typedef MaterialModel_	MaterialModel

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

Type	Name
Integrator	integrator The instance of the class used to integrate entities (e.g. energy).
MaterialModel	model The instance of the model used to compute entities at integration points (e.g. energy).

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.

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.

using ae108::elements::CoreElement< MaterialModel_, Integrator_, ValueType_, RealType_ >::Integrator =  Integrator_;

using ae108::elements::CoreElement< MaterialModel_, Integrator_, ValueType_, RealType_ >::MaterialModel =  MaterialModel_;

The instance of the class used to integrate entities (e.g. energy).

Integrator ae108::elements::CoreElement< MaterialModel_, Integrator_, ValueType_, RealType_ >::integrator;

The instance of the model used to compute entities at integration points (e.g. energy).

MaterialModel ae108::elements::CoreElement< MaterialModel_, Integrator_, ValueType_, RealType_ >::model;

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