solidmechanics/plate/membrane/model.hh File Reference

Membrane plate model. More...

#include <dumux/common/properties.hh>
#include <dumux/common/properties/model.hh>
#include <dumux/solidmechanics/plate/membrane/spatialparams.hh>
#include "localresidual.hh"
#include "volumevariables.hh"

Go to the source code of this file.

Description

A membrane is an infinitely thin plate with no bending stiffness. Under a transverse load \( F \) (force per unit area), the vertical deformation \( w \) satisfies the Poisson equation

\[ -\nabla\cdot(T\,\nabla w) = F, \]

where \( T \) is the membrane tension (force per unit length). This is the 2D analogue of the elastic string equation.

Primary variables

• vertical deformation \( w \)

Classes
struct	Dumux::MembranePlateVolumeVariablesTraits< PV, MT >
struct	Dumux::MembranePlateIndices
struct	Dumux::MembranePlateModelTraits
	Model traits for the membrane plate model. More...
struct	Dumux::Properties::TTag::MembranePlate
struct	Dumux::Properties::ModelTraits< TypeTag, TTag::MembranePlate >
struct	Dumux::Properties::LocalResidual< TypeTag, TTag::MembranePlate >
struct	Dumux::Properties::VolumeVariables< TypeTag, TTag::MembranePlate >
struct	Dumux::Properties::SpatialParams< TypeTag, TTag::MembranePlate >

Namespaces
namespace	Dumux
namespace	Dumux::Properties
	The energy balance equation for a porous solid.
namespace	Dumux::Properties::TTag
	Type tag for numeric models.

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