The linear elasticity equation formulated as a set of coupled first-order PDEs. More...

#include <FirstOrderSystem.hpp>

Public Types
using	primal_fields = implementation defined

using	primal_fluxes = implementation defined

using	background_fields = implementation defined

using	inv_metric_tag = void

using	fluxes_computer = Fluxes< Dim >

using	sources_computer = void

using	boundary_conditions_base = elliptic::BoundaryConditions::BoundaryCondition< Dim >

using	modify_boundary_data = void

Detailed Description

template<size_t Dim>
struct Elasticity::FirstOrderSystem< Dim >

The linear elasticity equation formulated as a set of coupled first-order PDEs.

This system formulates the elasticity equation (see Elasticity):

$\begin{aligned} \nabla_{i} T^{i j} = f_{e x t}^{j} \\ T^{i j} = - Y^{i j k l} \nabla_{(k} ξ_{l)} \end{aligned}$

The system can be formulated in terms of these fluxes and sources (see elliptic::protocols::FirstOrderSystem):

$\begin{aligned} F^{i j} & = - T^{i j} = Y^{i j k l} \nabla_{(k} ξ_{l)} \\ S^{j} & = 0 \\ f^{j} & = f_{e x t}^{j} . \end{aligned}$

The documentation for this struct was generated from the following file:

Public Types