GRINS::HookesLaw Class Reference

Elasticity tensor for Hooke's law. More...

#include <hookes_law.h>

Inheritance diagram for GRINS::HookesLaw:

Collaboration diagram for GRINS::HookesLaw:

Public Member Functions
	HookesLaw (const GetPot &input)
virtual	~HookesLaw ()
void	compute_stress (unsigned int dim, const libMesh::TensorValue< libMesh::Real > &g_contra, const libMesh::TensorValue< libMesh::Real > &g_cov, const libMesh::TensorValue< libMesh::Real > &G_contra, const libMesh::TensorValue< libMesh::Real > &G_cov, libMesh::TensorValue< libMesh::Real > &stress)
void	compute_stress_and_elasticity (unsigned int dim, const libMesh::TensorValue< libMesh::Real > &g_contra, const libMesh::TensorValue< libMesh::Real > &g_cov, const libMesh::TensorValue< libMesh::Real > &G_contra, const libMesh::TensorValue< libMesh::Real > &G_cov, libMesh::TensorValue< libMesh::Real > &stress, ElasticityTensor &C)
libMesh::Real	compute_33_stress (const libMesh::TensorValue< libMesh::Real > &g_contra, const libMesh::TensorValue< libMesh::Real > &g_cov, const libMesh::TensorValue< libMesh::Real > &G_contra, const libMesh::TensorValue< libMesh::Real > &G_cov)
	This is primarily a helper function for the plane stress cases. More...
virtual void	set_parameter (libMesh::Number &param_variable, const GetPot &input, const std::string &param_name, libMesh::Number param_default)
	Each subclass can simultaneously read a parameter value from. More...
virtual void	register_parameter (const std::string &param_name, libMesh::ParameterMultiPointer< libMesh::Number > &param_pointer) const
	Each subclass will register its copy of an independent. More...

Private Member Functions
	HookesLaw ()
void	read_input_options (const GetPot &input)
	Parse properties from input. More...
void	compute_stress_imp (unsigned int dim, const libMesh::TensorValue< libMesh::Real > &g_contra, const libMesh::TensorValue< libMesh::Real > &g_cov, const libMesh::TensorValue< libMesh::Real > &G_contra, const libMesh::TensorValue< libMesh::Real > &G_cov, libMesh::TensorValue< libMesh::Real > &stress)
void	compute_stress_and_elasticity_imp (unsigned int dim, const libMesh::TensorValue< libMesh::Real > &g_contra, const libMesh::TensorValue< libMesh::Real > &g_cov, const libMesh::TensorValue< libMesh::Real > &G_contra, const libMesh::TensorValue< libMesh::Real > &G_cov, libMesh::TensorValue< libMesh::Real > &stress, ElasticityTensor &C)
libMesh::Real	compute_33_stress_imp (const libMesh::TensorValue< libMesh::Real > &g_contra, const libMesh::TensorValue< libMesh::Real > &g_cov, const libMesh::TensorValue< libMesh::Real > &G_contra, const libMesh::TensorValue< libMesh::Real > &G_cov)

Private Attributes
ElasticityTensor	_C
libMesh::Real	_lambda
	Lam\'{e} constant. More...
libMesh::Real	_mu
	Lam\'{e} constant. More...

Friends
class	StressStrainLaw< HookesLaw >

Detailed Description

Elasticity tensor for Hooke's law.

Uses Lam\'{e} constants, but can parse Young's modulus and Poisson's ratio if desired. By default, is constructed for Cartesian coordinate systems. If working with curvilinear coordinate systems, the user should call the set_deformation method before calling operator().

Definition at line 46 of file hookes_law.h.

Constructor & Destructor Documentation

GRINS::HookesLaw::HookesLaw

(

const GetPot &

input

)

Definition at line 34 of file hookes_law.C.

References read_input_options().

    : StressStrainLaw<HookesLaw>(),
      ParameterUser("HookesLaw"),
      _C(),
      _lambda(0.0),
      _mu(0.0)
  {
    this->read_input_options(input);

    return;
  }

GRINS::HookesLaw::~HookesLaw ( )

virtual

Definition at line 46 of file hookes_law.C.

  {
    return;
  }

GRINS::HookesLaw::HookesLaw ( )

private

Member Function Documentation

libMesh::Real GRINS::StressStrainLaw< HookesLaw >::compute_33_stress ( const libMesh::TensorValue< libMesh::Real > &  g_contra, const libMesh::TensorValue< libMesh::Real > &  g_cov, const libMesh::TensorValue< libMesh::Real > &  G_contra, const libMesh::TensorValue< libMesh::Real > &  G_cov  )

inherited

This is primarily a helper function for the plane stress cases.

libMesh::Real GRINS::HookesLaw::compute_33_stress_imp ( const libMesh::TensorValue< libMesh::Real > &  g_contra, const libMesh::TensorValue< libMesh::Real > &  g_cov, const libMesh::TensorValue< libMesh::Real > &  G_contra, const libMesh::TensorValue< libMesh::Real > &  G_cov  )

private

Definition at line 132 of file hookes_law.C.

References _lambda, and _mu.

  {
    libMesh::Real sigma_33 = 0.0;

    for( unsigned int k = 0; k < 3; k++ )
      {
        for( unsigned int l = 0; l < 3; l++ )
          {
            libMesh::Real strain_kl = 0.5*(G_cov(k,l) - g_cov(k,l));

            libMesh::Real C = _lambda*g_contra(2,2)*g_contra(k,l) +
              _mu*(g_contra(2,k)*g_contra(2,l) + g_contra(2,l)*g_contra(2,k));

            sigma_33 += C*strain_kl;
          }
      }

    return sigma_33;
  }

void GRINS::StressStrainLaw< HookesLaw >::compute_stress ( unsigned int  dim, const libMesh::TensorValue< libMesh::Real > &  g_contra, const libMesh::TensorValue< libMesh::Real > &  g_cov, const libMesh::TensorValue< libMesh::Real > &  G_contra, const libMesh::TensorValue< libMesh::Real > &  G_cov, libMesh::TensorValue< libMesh::Real > &  stress  )

inherited

void GRINS::StressStrainLaw< HookesLaw >::compute_stress_and_elasticity ( unsigned int  dim, const libMesh::TensorValue< libMesh::Real > &  g_contra, const libMesh::TensorValue< libMesh::Real > &  g_cov, const libMesh::TensorValue< libMesh::Real > &  G_contra, const libMesh::TensorValue< libMesh::Real > &  G_cov, libMesh::TensorValue< libMesh::Real > &  stress, ElasticityTensor &  C  )

inherited

void GRINS::HookesLaw::compute_stress_and_elasticity_imp ( unsigned int  dim, const libMesh::TensorValue< libMesh::Real > &  g_contra, const libMesh::TensorValue< libMesh::Real > &  g_cov, const libMesh::TensorValue< libMesh::Real > &  G_contra, const libMesh::TensorValue< libMesh::Real > &  G_cov, libMesh::TensorValue< libMesh::Real > &  stress, ElasticityTensor &  C  )

private

Definition at line 117 of file hookes_law.C.

References _C, and compute_stress_imp().

  {
    this->compute_stress_imp(dim,g_contra,g_cov,G_contra,G_cov,stress);

    C = _C;

    return;
  }

void GRINS::HookesLaw::compute_stress_imp ( unsigned int  dim, const libMesh::TensorValue< libMesh::Real > &  g_contra, const libMesh::TensorValue< libMesh::Real > &  g_cov, const libMesh::TensorValue< libMesh::Real > &  G_contra, const libMesh::TensorValue< libMesh::Real > &  G_cov, libMesh::TensorValue< libMesh::Real > &  stress  )

private

Definition at line 86 of file hookes_law.C.

References _C, _lambda, and _mu.

Referenced by compute_stress_and_elasticity_imp().

  {
    stress.zero();

    for( unsigned int i = 0; i < dim; i++ )
      {
        for( unsigned int j = 0; j < dim; j++ )
          {
            for( unsigned int k = 0; k < dim; k++ )
              {
                for( unsigned int l = 0; l < dim; l++ )
                  {
                    libMesh::Real strain_kl = 0.5*(G_cov(k,l) - g_cov(k,l));

                    _C(i,j,k,l) = _lambda*g_contra(i,j)*g_contra(k,l) +
                                  _mu*(g_contra(i,k)*g_contra(j,l) + g_contra(i,l)*g_contra(j,k));

                    stress(i,j) += _C(i,j,k,l)*strain_kl;
                  }
              }
          }
      }

    return;
  }

void GRINS::HookesLaw::read_input_options ( const GetPot &  input )

private

Parse properties from input.

Definition at line 51 of file hookes_law.C.

References _lambda, _mu, and GRINS::ParameterUser::set_parameter().

Referenced by HookesLaw().

  {
    // We'd better have either Lam\'{e} constants or E and nu
    if( ( !input.have_variable("Physics/HookesLaw/lambda") || 
          !input.have_variable("Physics/HookesLaw/mu") ) &&
        ( !input.have_variable("Physics/HookesLaw/E") || 
          !input.have_variable("Physics/HookesLaw/nu") ) )
      {
        std::cerr << "Error: Must specify either Lame constants lambda and mu or" << std::endl
                  << "       Young's modulus and Poisson's ratio." << std::endl;
        libmesh_error();
      }

    if( input.have_variable("Physics/HookesLaw/lambda") )
      this->set_parameter
        (_lambda, input, "Physics/HookesLaw/lambda", 0.0);
    
    if( input.have_variable("Physics/HookesLaw/mu") )
      this->set_parameter
        (_mu, input, "Physics/HookesLaw/mu", 0.0);
        
    if( input.have_variable("Physics/HookesLaw/E") && 
        input.have_variable("Physics/HookesLaw/nu") )
      {
        // FIXME - we'll need a special accessor to give parameter
        // access to these
        libMesh::Real E  = input("Physics/HookesLaw/E", 0.0);
        libMesh::Real nu = input("Physics/HookesLaw/nu", 0.0);
        _lambda = nu*E/( (1+nu)*(1-2*nu) );
        _mu = E/(2*(1+nu));
      }

    return;
  }

void GRINS::ParameterUser::register_parameter ( const std::string &  param_name, libMesh::ParameterMultiPointer< libMesh::Number > &  param_pointer  ) const

virtualinherited

Each subclass will register its copy of an independent.

Reimplemented in GRINS::AxisymmetricHeatTransfer< Conductivity >, GRINS::LowMachNavierStokesBase< Viscosity, SpecificHeat, ThermalConductivity >, GRINS::IncompressibleNavierStokesBase< Viscosity >, GRINS::BoussinesqBuoyancySPGSMStabilization< Viscosity >, GRINS::HeatConduction< Conductivity >, GRINS::HeatTransferBase< Conductivity >, and GRINS::BoussinesqBuoyancyAdjointStabilization< Viscosity >.

Definition at line 50 of file parameter_user.C.

Referenced by GRINS::BoussinesqBuoyancyAdjointStabilization< Viscosity >::register_parameter(), GRINS::HeatTransferBase< Conductivity >::register_parameter(), GRINS::HeatConduction< Conductivity >::register_parameter(), GRINS::BoussinesqBuoyancySPGSMStabilization< Viscosity >::register_parameter(), GRINS::IncompressibleNavierStokesBase< Viscosity >::register_parameter(), GRINS::LowMachNavierStokesBase< Viscosity, SpecificHeat, ThermalConductivity >::register_parameter(), and GRINS::AxisymmetricHeatTransfer< Conductivity >::register_parameter().

  {
    std::map<std::string, libMesh::Number*>::const_iterator it =
      _my_parameters.find(param_name);

    if (it != _my_parameters.end())
      {
        std::cout << _my_name << " uses parameter " << param_name
                  << std::endl;
        param_pointer.push_back(it->second);
      }
  }

void GRINS::ParameterUser::set_parameter ( libMesh::Number &  param_variable, const GetPot &  input, const std::string &  param_name, libMesh::Number  param_default  )

virtualinherited

Each subclass can simultaneously read a parameter value from.

Definition at line 35 of file parameter_user.C.

References GRINS::ParameterUser::_my_name, and GRINS::ParameterUser::_my_parameters.

Referenced by GRINS::AveragedFanAdjointStabilization< Viscosity >::AveragedFanAdjointStabilization(), GRINS::AveragedTurbineAdjointStabilization< Viscosity >::AveragedTurbineAdjointStabilization(), GRINS::BoussinesqBuoyancyAdjointStabilization< Viscosity >::BoussinesqBuoyancyAdjointStabilization(), GRINS::BoussinesqBuoyancyBase::BoussinesqBuoyancyBase(), GRINS::BoussinesqBuoyancySPGSMStabilization< Viscosity >::BoussinesqBuoyancySPGSMStabilization(), GRINS::ConstantConductivity::ConstantConductivity(), GRINS::ConstantPrandtlConductivity::ConstantPrandtlConductivity(), GRINS::ConstantSourceFunction::ConstantSourceFunction(), GRINS::ConstantSourceTerm::ConstantSourceTerm(), GRINS::ConstantSpecificHeat::ConstantSpecificHeat(), GRINS::ConstantViscosity::ConstantViscosity(), GRINS::ElasticCable< StressStrainLaw >::ElasticCable(), GRINS::ElasticCableConstantGravity::ElasticCableConstantGravity(), GRINS::ElasticMembrane< StressStrainLaw >::ElasticMembrane(), GRINS::ElasticMembraneConstantPressure::ElasticMembraneConstantPressure(), GRINS::HeatConduction< Conductivity >::HeatConduction(), GRINS::HeatTransferBase< Conductivity >::HeatTransferBase(), GRINS::IncompressibleNavierStokesBase< Viscosity >::IncompressibleNavierStokesBase(), GRINS::AverageNusseltNumber::init(), GRINS::MooneyRivlin::MooneyRivlin(), GRINS::ReactingLowMachNavierStokesBase< Mixture, Evaluator >::ReactingLowMachNavierStokesBase(), GRINS::HookesLaw1D::read_input_options(), read_input_options(), GRINS::AxisymmetricBoussinesqBuoyancy::read_input_options(), and GRINS::VelocityDragAdjointStabilization< Viscosity >::VelocityDragAdjointStabilization().

  {
    param_variable = input(param_name, param_default);

    libmesh_assert_msg(!_my_parameters.count(param_name),
      "ERROR: " << _my_name << " double-registered parameter " <<
      param_name);

    _my_parameters[param_name] = &param_variable;
  }

Friends And Related Function Documentation

friend class StressStrainLaw< HookesLaw >

friend

Definition at line 55 of file hookes_law.h.

Member Data Documentation

ElasticityTensor GRINS::HookesLaw::_C

private

Definition at line 84 of file hookes_law.h.

Referenced by compute_stress_and_elasticity_imp(), and compute_stress_imp().

libMesh::Real GRINS::HookesLaw::_lambda

private

Lam\'{e} constant.

Definition at line 87 of file hookes_law.h.

Referenced by compute_33_stress_imp(), compute_stress_imp(), and read_input_options().

libMesh::Real GRINS::HookesLaw::_mu

private

Lam\'{e} constant.

Definition at line 90 of file hookes_law.h.

Referenced by compute_33_stress_imp(), compute_stress_imp(), and read_input_options().

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

• src/properties/include/grins/hookes_law.h
• src/properties/src/hookes_law.C