Struct ae108::elements::Minimal

template <std::size_t Size_, std::size_t Dimension_, std::size_t DegreesOfFreedom_>

ClassList > ae108 > elements > Minimal

A minimal example of an element. Note that only the energy is defined.

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

Public Types inherited from ae108::elements::ElementBase

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
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.

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