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