Membrane plate

Models bending of a membrane plate (no bending stiffness). More...

Description

Membrane plate model.

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
class	Dumux::MembranePlateLocalResidual< TypeTag >
	Local residual for the membrane plate model. More...
struct	Dumux::MembranePlateModelTraits
	Model traits for the membrane plate model. More...
class	Dumux::MembranePlateSpatialParams< GridGeometry, Scalar >
	Spatial parameters for the membrane plate model. More...
class	Dumux::MembranePlateVolumeVariables< Traits >
	Volume variables for the membrane plate model. More...

Files
file	localresidual.hh
	Local residual for the membrane plate model.
file	model.hh
	Membrane plate model.
file	spatialparams.hh
	Default spatial parameters for the membrane plate model.
file	volumevariables.hh
	Volume variables for the membrane plate model.