Dumux::HyperelasticVolIsoMomentumLocalResidual< TypeTag > Class Template Reference

Momentum local residual for the mixed u–p hyperelastic model. More...

#include <dumux/solidmechanics/hyperelastic_voliso/localresidual.hh>

Inheritance diagram for Dumux::HyperelasticVolIsoMomentumLocalResidual< TypeTag >:

Description

template<class TypeTag>
class Dumux::HyperelasticVolIsoMomentumLocalResidual< TypeTag >

Assembles \( -\nabla_X \cdot \mathbf{P} = \mathbf{f} \) with the first Piola–Kirchhoff stress

\[ \mathbf{P} = \mathbf{P}_\text{iso}(\mathbf{F}) + p\, J\, \mathbf{F}^{-\top}. \]

The problem supplies \( \mathbf{P}_\text{iso} \) through isochoricFirstPiolaKirchhoffStressTensor(F, elemDisc, ipGlobal) and the body force \( \mathbf{f} \) through source. The scalar \( p \) is volumetricStressPressure, here the pressure \( p_s \) of the pressure subdomain; derived residuals may add further pressures. The residual is quasi-static (no storage term).

Public Types
using	ElementResidualVector = typename ParentType::ElementResidualVector

Public Member Functions
NumEqVector	computeStorage (const auto &, const auto &, const auto &) const
NumEqVector	storageIntegral (const ElementDiscretization &, const ElementVariables &, const auto &, bool) const
void	addToElementFluxAndSourceResidual (ElementResidualVector &residual, const Problem &problem, const auto &element, const ElementDiscretization &elemDisc, const ElementVariables &elemVars) const
	FE contributions of stress divergence and body force for non-CV dofs (e.g. PQ2 hybrid).
template<class SubControlVolumeFace>
NumEqVector	fluxIntegral (const ElementDiscretization &elemDisc, const ElementVariables &elemVars, const SubControlVolumeFace &scvf) const
	Interior flux integral: \( -\int \mathbf{P} \cdot \mathbf{n} \, \mathrm{d}A \).
Scalar	volumetricStressPressure (const Problem &problem, const ElementDiscretization &elemDisc, const GlobalPosition &ipGlobal) const
	The scalar \( p \) of the volumetric stress \( p J \mathbf{F}^{-\top} \).

Member Typedef Documentation

ElementResidualVector

template<class TypeTag>

using Dumux::HyperelasticVolIsoMomentumLocalResidual< TypeTag >::ElementResidualVector = typename ParentType::ElementResidualVector

Member Function Documentation

addToElementFluxAndSourceResidual()

template<class TypeTag>

void Dumux::HyperelasticVolIsoMomentumLocalResidual< TypeTag >::addToElementFluxAndSourceResidual ( ElementResidualVector & residual, const Problem & problem, const auto & element, const ElementDiscretization & elemDisc, const ElementVariables & elemVars ) const

inline

computeStorage()

template<class TypeTag>

NumEqVector Dumux::HyperelasticVolIsoMomentumLocalResidual< TypeTag >::computeStorage ( const auto & , const auto & , const auto &  ) const

inline

fluxIntegral()

template<class TypeTag>

template<class SubControlVolumeFace>

NumEqVector Dumux::HyperelasticVolIsoMomentumLocalResidual< TypeTag >::fluxIntegral ( const ElementDiscretization & elemDisc, const ElementVariables & elemVars, const SubControlVolumeFace & scvf ) const

inline

storageIntegral()

template<class TypeTag>

NumEqVector Dumux::HyperelasticVolIsoMomentumLocalResidual< TypeTag >::storageIntegral ( const ElementDiscretization & , const ElementVariables & , const auto & , bool  ) const

inline

volumetricStressPressure()

template<class TypeTag>

Scalar Dumux::HyperelasticVolIsoMomentumLocalResidual< TypeTag >::volumetricStressPressure ( const Problem & problem, const ElementDiscretization & elemDisc, const GlobalPosition & ipGlobal ) const

inline

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

• solidmechanics/hyperelastic_voliso/localresidual.hh