Rate-independent non-associative Drucker Prager with hardening/softening. More...

#include <TensorMechanicsPlasticDruckerPrager.h>

Inheritance diagram for TensorMechanicsPlasticDruckerPrager:

Public Types
enum	FrictionDilation { friction = 0, dilation = 1 }
	bbb (friction) and bbb_flow (dilation) are computed using the same function, onlyB, and this parameter tells that function whether to compute bbb or bbb_flow More...

Public Member Functions
	TensorMechanicsPlasticDruckerPrager (const InputParameters &parameters)

virtual std::string	modelName () const override

void	bothAB (Real intnl, Real &aaa, Real &bbb) const
	Calculates aaa and bbb as a function of the internal parameter intnl. More...

void	dbothAB (Real intnl, Real &daaa, Real &dbbb) const
	Calculates d(aaa)/d(intnl) and d(bbb)/d(intnl) as a function of the internal parameter intnl. More...

void	onlyB (Real intnl, int fd, Real &bbb) const
	Calculate bbb or bbb_flow. More...

void	donlyB (Real intnl, int fd, Real &dbbb) const
	Calculate d(bbb)/d(intnl) or d(bbb_flow)/d(intnl) More...

void	initialize ()

void	execute ()

void	finalize ()

virtual unsigned int	numberSurfaces () const
	The number of yield surfaces for this plasticity model. More...

virtual void	yieldFunctionV (const RankTwoTensor &stress, Real intnl, std::vector< Real > &f) const
	Calculates the yield functions. More...

virtual void	dyieldFunction_dstressV (const RankTwoTensor &stress, Real intnl, std::vector< RankTwoTensor > &df_dstress) const
	The derivative of yield functions with respect to stress. More...

virtual void	dyieldFunction_dintnlV (const RankTwoTensor &stress, Real intnl, std::vector< Real > &df_dintnl) const
	The derivative of yield functions with respect to the internal parameter. More...

virtual void	flowPotentialV (const RankTwoTensor &stress, Real intnl, std::vector< RankTwoTensor > &r) const
	The flow potentials. More...

virtual void	dflowPotential_dstressV (const RankTwoTensor &stress, Real intnl, std::vector< RankFourTensor > &dr_dstress) const
	The derivative of the flow potential with respect to stress. More...

virtual void	dflowPotential_dintnlV (const RankTwoTensor &stress, Real intnl, std::vector< RankTwoTensor > &dr_dintnl) const
	The derivative of the flow potential with respect to the internal parameter. More...

virtual void	hardPotentialV (const RankTwoTensor &stress, Real intnl, std::vector< Real > &h) const
	The hardening potential. More...

virtual void	dhardPotential_dstressV (const RankTwoTensor &stress, Real intnl, std::vector< RankTwoTensor > &dh_dstress) const
	The derivative of the hardening potential with respect to stress. More...

virtual void	dhardPotential_dintnlV (const RankTwoTensor &stress, Real intnl, std::vector< Real > &dh_dintnl) const
	The derivative of the hardening potential with respect to the internal parameter. More...

virtual void	activeConstraints (const std::vector< Real > &f, const RankTwoTensor &stress, Real intnl, const RankFourTensor &Eijkl, std::vector< bool > &act, RankTwoTensor &returned_stress) const
	The active yield surfaces, given a vector of yield functions. More...

virtual bool	useCustomReturnMap () const
	Returns false. You will want to override this in your derived class if you write a custom returnMap function. More...

virtual bool	useCustomCTO () const
	Returns false. You will want to override this in your derived class if you write a custom consistent tangent operator function. More...

virtual bool	returnMap (const RankTwoTensor &trial_stress, Real intnl_old, const RankFourTensor &E_ijkl, Real ep_plastic_tolerance, RankTwoTensor &returned_stress, Real &returned_intnl, std::vector< Real > &dpm, RankTwoTensor &delta_dp, std::vector< Real > &yf, bool &trial_stress_inadmissible) const
	Performs a custom return-map. More...

virtual RankFourTensor	consistentTangentOperator (const RankTwoTensor &trial_stress, Real intnl_old, const RankTwoTensor &stress, Real intnl, const RankFourTensor &E_ijkl, const std::vector< Real > &cumulative_pm) const
	Calculates a custom consistent tangent operator. More...

bool	KuhnTuckerSingleSurface (Real yf, Real dpm, Real dpm_tol) const
	Returns true if the Kuhn-Tucker conditions for the single surface are satisfied. More...

Static Public Member Functions
static InputParameters	validParams ()

Public Attributes
const Real	_f_tol
	Tolerance on yield function. More...

const Real	_ic_tol
	Tolerance on internal constraint. More...

Protected Member Functions
virtual Real	yieldFunction (const RankTwoTensor &stress, Real intnl) const override
	The following functions are what you should override when building single-plasticity models. More...

virtual RankTwoTensor	dyieldFunction_dstress (const RankTwoTensor &stress, Real intnl) const override
	The derivative of yield function with respect to stress. More...

virtual Real	dyieldFunction_dintnl (const RankTwoTensor &stress, Real intnl) const override
	The derivative of yield function with respect to the internal parameter. More...

virtual RankTwoTensor	flowPotential (const RankTwoTensor &stress, Real intnl) const override
	The flow potential. More...

virtual RankFourTensor	dflowPotential_dstress (const RankTwoTensor &stress, Real intnl) const override
	The derivative of the flow potential with respect to stress. More...

virtual RankTwoTensor	dflowPotential_dintnl (const RankTwoTensor &stress, Real intnl) const override
	The derivative of the flow potential with respect to the internal parameter. More...

virtual RankTwoTensor	df_dsig (const RankTwoTensor &stress, Real bbb) const
	Function that's used in dyieldFunction_dstress and flowPotential. More...

virtual Real	hardPotential (const RankTwoTensor &stress, Real intnl) const
	The hardening potential. More...

virtual RankTwoTensor	dhardPotential_dstress (const RankTwoTensor &stress, Real intnl) const
	The derivative of the hardening potential with respect to stress. More...

virtual Real	dhardPotential_dintnl (const RankTwoTensor &stress, Real intnl) const
	The derivative of the hardening potential with respect to the internal parameter. More...

Protected Attributes
const TensorMechanicsHardeningModel &	_mc_cohesion
	Hardening model for cohesion. More...

const TensorMechanicsHardeningModel &	_mc_phi
	Hardening model for tan(phi) More...

const TensorMechanicsHardeningModel &	_mc_psi
	Hardening model for tan(psi) More...

const MooseEnum	_mc_interpolation_scheme
	The parameters aaa and bbb are chosen to closely match the Mohr-Coulomb yield surface. More...

const bool	_zero_cohesion_hardening
	True if there is no hardening of cohesion. More...

const bool	_zero_phi_hardening
	True if there is no hardening of friction angle. More...

const bool	_zero_psi_hardening
	True if there is no hardening of dilation angle. More...

Private Member Functions
void	initializeAandB (Real intnl, Real &aaa, Real &bbb) const
	Returns the Drucker-Prager parameters A nice reference on the different relationships between Drucker-Prager and Mohr-Coulomb is H Jiang and X Yongli, A note on the Mohr-Coulomb and Drucker-Prager strength criteria, Mechanics Research Communications 38 (2011) 309-314. More...

void	initializeB (Real intnl, int fd, Real &bbb) const
	Returns the Drucker-Prager parameters A nice reference on the different relationships between Drucker-Prager and Mohr-Coulomb is H Jiang and X Yongli, A note on the Mohr-Coulomb and Drucker-Prager strength criteria, Mechanics Research Communications 38 (2011) 309-314. More...

Private Attributes
Real	_aaa

Real	_bbb

Real	_bbb_flow

Detailed Description

Rate-independent non-associative Drucker Prager with hardening/softening.

The cone's tip is not smoothed. f = sqrt(J2) + bbb*Tr(stress) - aaa with aaa = "cohesion" (a non-negative number) and bbb = tan(friction angle) (a positive number)

Definition at line 27 of file TensorMechanicsPlasticDruckerPrager.h.

Member Enumeration Documentation

◆ FrictionDilation

enum TensorMechanicsPlasticDruckerPrager::FrictionDilation

bbb (friction) and bbb_flow (dilation) are computed using the same function, onlyB, and this parameter tells that function whether to compute bbb or bbb_flow

Enumerator
friction
dilation

Definition at line 46 of file TensorMechanicsPlasticDruckerPrager.h.

   {
     friction = 0,
     dilation = 1
   };

Constructor & Destructor Documentation

◆ TensorMechanicsPlasticDruckerPrager()

TensorMechanicsPlasticDruckerPrager::TensorMechanicsPlasticDruckerPrager ( const InputParameters & parameters )

Definition at line 54 of file TensorMechanicsPlasticDruckerPrager.C.

   : TensorMechanicsPlasticModel(parameters),
     _mc_cohesion(getUserObject<TensorMechanicsHardeningModel>("mc_cohesion")),
     _mc_phi(getUserObject<TensorMechanicsHardeningModel>("mc_friction_angle")),
     _mc_psi(getUserObject<TensorMechanicsHardeningModel>("mc_dilation_angle")),
     _mc_interpolation_scheme(getParam<MooseEnum>("mc_interpolation_scheme")),
     _zero_cohesion_hardening(_mc_cohesion.modelName().compare("Constant") == 0),
     _zero_phi_hardening(_mc_phi.modelName().compare("Constant") == 0),
     _zero_psi_hardening(_mc_psi.modelName().compare("Constant") == 0)
 {
   if (_mc_phi.value(0.0) < 0.0 || _mc_psi.value(0.0) < 0.0 ||
       _mc_phi.value(0.0) > libMesh::pi / 2.0 || _mc_psi.value(0.0) > libMesh::pi / 2.0)
     mooseError("TensorMechanicsPlasticDruckerPrager: MC friction and dilation angles must lie in "
                "[0, Pi/2]");
   if (_mc_phi.value(0) < _mc_psi.value(0.0))
     mooseError("TensorMechanicsPlasticDruckerPrager: MC friction angle must not be less than MC "
                "dilation angle");
   if (_mc_cohesion.value(0.0) < 0)
     mooseError("TensorMechanicsPlasticDruckerPrager: MC cohesion should not be negative");
  
   initializeAandB(0.0, _aaa, _bbb);
   initializeB(0.0, dilation, _bbb_flow);
 }

Member Function Documentation

◆ activeConstraints()

void TensorMechanicsPlasticModel::activeConstraints	(	const std::vector< Real > &	f,
		const RankTwoTensor &	stress,
		Real	intnl,
		const RankFourTensor &	Eijkl,
		std::vector< bool > &	act,
		RankTwoTensor &	returned_stress
	)		const

virtualinherited

The active yield surfaces, given a vector of yield functions.

This is used by FiniteStrainMultiPlasticity to determine the initial set of active constraints at the trial (stress, intnl) configuration. It is up to you (the coder) to determine how accurate you want the returned_stress to be. Currently it is only used by FiniteStrainMultiPlasticity to estimate a good starting value for the Newton-Rahson procedure, so currently it may not need to be super perfect.

Parameters

	f	values of the yield functions
	stress	stress tensor
	intnl	internal parameter
	Eijkl	elasticity tensor (stress = Eijkl*strain)
[out]	act	act[i] = true if the i_th yield function is active
[out]	returned_stress	Approximate value of the returned stress

Reimplemented in TensorMechanicsPlasticMohrCoulombMulti, TensorMechanicsPlasticTensileMulti, TensorMechanicsPlasticMeanCapTC, TensorMechanicsPlasticWeakPlaneShear, and TensorMechanicsPlasticWeakPlaneTensile.

Definition at line 188 of file TensorMechanicsPlasticModel.C.

 {
   mooseAssert(f.size() == numberSurfaces(),
               "f incorrectly sized at " << f.size() << " in activeConstraints");
   act.resize(numberSurfaces());
   for (unsigned surface = 0; surface < numberSurfaces(); ++surface)
     act[surface] = (f[surface] > _f_tol);
 }

◆ bothAB()

void TensorMechanicsPlasticDruckerPrager::bothAB	(	Real	intnl,
		Real &	aaa,
		Real &	bbb
	)		const

Calculates aaa and bbb as a function of the internal parameter intnl.

Definition at line 149 of file TensorMechanicsPlasticDruckerPrager.C.

 {
   if (_zero_cohesion_hardening && _zero_phi_hardening)
   {
     aaa = _aaa;
     bbb = _bbb;
     return;
   }
   initializeAandB(intnl, aaa, bbb);
 }

Referenced by CappedDruckerPragerStressUpdate::computeAllQ(), CappedDruckerPragerStressUpdate::initializeVars(), TensorMechanicsPlasticDruckerPragerHyperbolic::returnMap(), TensorMechanicsPlasticDruckerPragerHyperbolic::yieldFunction(), yieldFunction(), and CappedDruckerPragerStressUpdate::yieldFunctionValues().

◆ consistentTangentOperator()

RankFourTensor TensorMechanicsPlasticModel::consistentTangentOperator	(	const RankTwoTensor &	trial_stress,
		Real	intnl_old,
		const RankTwoTensor &	stress,
		Real	intnl,
		const RankFourTensor &	E_ijkl,
		const std::vector< Real > &	cumulative_pm
	)		const

virtualinherited

Calculates a custom consistent tangent operator.

You may choose to over-ride this in your derived TensorMechanicsPlasticXXXX class.

(Note, if you over-ride returnMap, you will probably want to override consistentTangentOpertor too, otherwise it will default to E_ijkl.)

Parameters

stress_old	trial stress before returning
intnl_old	internal parameter before returning
stress	current returned stress state
intnl	internal parameter
E_ijkl	elasticity tensor
cumulative_pm	the cumulative plastic multipliers

Returns: the consistent tangent operator: E_ijkl if not over-ridden

Reimplemented in TensorMechanicsPlasticTensileMulti, TensorMechanicsPlasticDruckerPragerHyperbolic, TensorMechanicsPlasticMeanCapTC, and TensorMechanicsPlasticJ2.

Definition at line 254 of file TensorMechanicsPlasticModel.C.

 {
   return E_ijkl;
 }

Referenced by TensorMechanicsPlasticJ2::consistentTangentOperator(), TensorMechanicsPlasticDruckerPragerHyperbolic::consistentTangentOperator(), TensorMechanicsPlasticMeanCapTC::consistentTangentOperator(), and TensorMechanicsPlasticTensileMulti::consistentTangentOperator().

◆ dbothAB()

void TensorMechanicsPlasticDruckerPrager::dbothAB	(	Real	intnl,
		Real &	daaa,
		Real &	dbbb
	)		const

Calculates d(aaa)/d(intnl) and d(bbb)/d(intnl) as a function of the internal parameter intnl.

Definition at line 219 of file TensorMechanicsPlasticDruckerPrager.C.

 {
   if (_zero_cohesion_hardening && _zero_phi_hardening)
   {
     daaa = 0;
     dbbb = 0;
     return;
   }
  
   const Real C = _mc_cohesion.value(intnl);
   const Real dC = _mc_cohesion.derivative(intnl);
   const Real cosphi = std::cos(_mc_phi.value(intnl));
   const Real dcosphi = -std::sin(_mc_phi.value(intnl)) * _mc_phi.derivative(intnl);
   const Real sinphi = std::sin(_mc_phi.value(intnl));
   const Real dsinphi = std::cos(_mc_phi.value(intnl)) * _mc_phi.derivative(intnl);
   switch (_mc_interpolation_scheme)
   {
     case 0: // outer_tip
       daaa = 2.0 * std::sqrt(3.0) *
              (dC * cosphi / (3.0 - sinphi) + C * dcosphi / (3.0 - sinphi) +
               C * cosphi * dsinphi / Utility::pow<2>(3.0 - sinphi));
       dbbb = 2.0 / std::sqrt(3.0) *
              (dsinphi / (3.0 - sinphi) + sinphi * dsinphi / Utility::pow<2>(3.0 - sinphi));
       break;
     case 1: // inner_tip
       daaa = 2.0 * std::sqrt(3.0) *
              (dC * cosphi / (3.0 + sinphi) + C * dcosphi / (3.0 + sinphi) -
               C * cosphi * dsinphi / Utility::pow<2>(3.0 + sinphi));
       dbbb = 2.0 / std::sqrt(3.0) *
              (dsinphi / (3.0 + sinphi) - sinphi * dsinphi / Utility::pow<2>(3.0 + sinphi));
       break;
     case 2: // lode_zero
       daaa = dC * cosphi + C * dcosphi;
       dbbb = dsinphi / 3.0;
       break;
     case 3: // inner_edge
       daaa = 3.0 * dC * cosphi / std::sqrt(9.0 + 3.0 * Utility::pow<2>(sinphi)) +
              3.0 * C * dcosphi / std::sqrt(9.0 + 3.0 * Utility::pow<2>(sinphi)) -
              3.0 * C * cosphi * 3.0 * sinphi * dsinphi /
                  std::pow(9.0 + 3.0 * Utility::pow<2>(sinphi), 1.5);
       dbbb = dsinphi / std::sqrt(9.0 + 3.0 * Utility::pow<2>(sinphi)) -
              3.0 * sinphi * sinphi * dsinphi / std::pow(9.0 + 3.0 * Utility::pow<2>(sinphi), 1.5);
       break;
     case 4: // native
       daaa = dC;
       dbbb = dsinphi / cosphi - sinphi * dcosphi / Utility::pow<2>(cosphi);
       break;
   }
 }

Referenced by CappedDruckerPragerStressUpdate::computeAllQ(), dyieldFunction_dintnl(), and TensorMechanicsPlasticDruckerPragerHyperbolic::returnMap().

◆ df_dsig()

RankTwoTensor TensorMechanicsPlasticDruckerPrager::df_dsig	(	const RankTwoTensor &	stress,
		Real	bbb
	)		const

protectedvirtual

Function that's used in dyieldFunction_dstress and flowPotential.

Reimplemented in TensorMechanicsPlasticDruckerPragerHyperbolic.

Definition at line 89 of file TensorMechanicsPlasticDruckerPrager.C.

 {
   return 0.5 * stress.dsecondInvariant() / std::sqrt(stress.secondInvariant()) +
          stress.dtrace() * bbb;
 }

Referenced by dyieldFunction_dstress(), and flowPotential().

◆ dflowPotential_dintnl()

RankTwoTensor TensorMechanicsPlasticDruckerPrager::dflowPotential_dintnl	(	const RankTwoTensor &	stress,
		Real	intnl
	)		const

overrideprotectedvirtual

The derivative of the flow potential with respect to the internal parameter.

Parameters

stress	the stress at which to calculate the flow potential
intnl	internal parameter

Returns: dr_dintnl(i, j) = dr(i, j)/dintnl

Reimplemented from TensorMechanicsPlasticModel.

Definition at line 134 of file TensorMechanicsPlasticDruckerPrager.C.

 {
   Real dbbb;
   donlyB(intnl, dilation, dbbb);
   return stress.dtrace() * dbbb;
 }

◆ dflowPotential_dintnlV()

void TensorMechanicsPlasticModel::dflowPotential_dintnlV	(	const RankTwoTensor &	stress,
		Real	intnl,
		std::vector< RankTwoTensor > &	dr_dintnl
	)		const

virtualinherited

The derivative of the flow potential with respect to the internal parameter.

Parameters

	stress	the stress at which to calculate the flow potential
	intnl	internal parameter
[out]	dr_dintnl	dr_dintnl[alpha](i, j) = dr[alpha](i, j)/dintnl

Reimplemented in TensorMechanicsPlasticMohrCoulombMulti, and TensorMechanicsPlasticTensileMulti.

Definition at line 139 of file TensorMechanicsPlasticModel.C.

 {
   return dr_dintnl.assign(1, dflowPotential_dintnl(stress, intnl));
 }

◆ dflowPotential_dstress()

RankFourTensor TensorMechanicsPlasticDruckerPrager::dflowPotential_dstress	(	const RankTwoTensor &	stress,
		Real	intnl
	)		const

overrideprotectedvirtual

The derivative of the flow potential with respect to stress.

Parameters

stress	the stress at which to calculate the flow potential
intnl	internal parameter

Returns: dr_dstress(i, j, k, l) = dr(i, j)/dstress(k, l)

Reimplemented from TensorMechanicsPlasticModel.

Reimplemented in TensorMechanicsPlasticDruckerPragerHyperbolic.

Definition at line 123 of file TensorMechanicsPlasticDruckerPrager.C.

 {
   RankFourTensor dr_dstress;
   dr_dstress = 0.5 * stress.d2secondInvariant() / std::sqrt(stress.secondInvariant());
   dr_dstress += -0.5 * 0.5 * stress.dsecondInvariant().outerProduct(stress.dsecondInvariant()) /
                 std::pow(stress.secondInvariant(), 1.5);
   return dr_dstress;
 }

◆ dflowPotential_dstressV()

void TensorMechanicsPlasticModel::dflowPotential_dstressV	(	const RankTwoTensor &	stress,
		Real	intnl,
		std::vector< RankFourTensor > &	dr_dstress
	)		const

virtualinherited

The derivative of the flow potential with respect to stress.

Parameters

	stress	the stress at which to calculate the flow potential
	intnl	internal parameter
[out]	dr_dstress	dr_dstress[alpha](i, j, k, l) = dr[alpha](i, j)/dstress(k, l)

Reimplemented in TensorMechanicsPlasticMohrCoulombMulti, and TensorMechanicsPlasticTensileMulti.

Definition at line 125 of file TensorMechanicsPlasticModel.C.

 {
   return dr_dstress.assign(1, dflowPotential_dstress(stress, intnl));
 }

◆ dhardPotential_dintnl()

Real TensorMechanicsPlasticModel::dhardPotential_dintnl	(	const RankTwoTensor &	stress,
		Real	intnl
	)		const

protectedvirtualinherited

The derivative of the hardening potential with respect to the internal parameter.

Parameters

stress	the stress at which to calculate the hardening potentials
intnl	internal parameter

Returns: the derivative

Reimplemented in TensorMechanicsPlasticMeanCapTC.

Definition at line 174 of file TensorMechanicsPlasticModel.C.

 {
   return 0.0;
 }

Referenced by TensorMechanicsPlasticModel::dhardPotential_dintnlV().

◆ dhardPotential_dintnlV()

void TensorMechanicsPlasticModel::dhardPotential_dintnlV	(	const RankTwoTensor &	stress,
		Real	intnl,
		std::vector< Real > &	dh_dintnl
	)		const

virtualinherited

The derivative of the hardening potential with respect to the internal parameter.

Parameters

	stress	the stress at which to calculate the hardening potentials
	intnl	internal parameter
[out]	dh_dintnl	dh_dintnl[alpha] = dh[alpha]/dintnl

Definition at line 180 of file TensorMechanicsPlasticModel.C.

 {
   dh_dintnl.resize(numberSurfaces(), dhardPotential_dintnl(stress, intnl));
 }

◆ dhardPotential_dstress()

RankTwoTensor TensorMechanicsPlasticModel::dhardPotential_dstress	(	const RankTwoTensor &	stress,
		Real	intnl
	)		const

protectedvirtualinherited

The derivative of the hardening potential with respect to stress.

Parameters

stress	the stress at which to calculate the hardening potentials
intnl	internal parameter

Returns: dh_dstress(i, j) = dh/dstress(i, j)

Reimplemented in TensorMechanicsPlasticMeanCapTC.

Definition at line 160 of file TensorMechanicsPlasticModel.C.

 {
   return RankTwoTensor();
 }

Referenced by TensorMechanicsPlasticModel::dhardPotential_dstressV().

◆ dhardPotential_dstressV()

void TensorMechanicsPlasticModel::dhardPotential_dstressV	(	const RankTwoTensor &	stress,
		Real	intnl,
		std::vector< RankTwoTensor > &	dh_dstress
	)		const

virtualinherited

The derivative of the hardening potential with respect to stress.

Parameters

	stress	the stress at which to calculate the hardening potentials
	intnl	internal parameter
[out]	dh_dstress	dh_dstress[alpha](i, j) = dh[alpha]/dstress(i, j)

Definition at line 166 of file TensorMechanicsPlasticModel.C.

 {
   dh_dstress.assign(numberSurfaces(), dhardPotential_dstress(stress, intnl));
 }

◆ donlyB()

void TensorMechanicsPlasticDruckerPrager::donlyB	(	Real	intnl,
		int	fd,
		Real &	dbbb
	)		const

Calculate d(bbb)/d(intnl) or d(bbb_flow)/d(intnl)

Parameters

intnl	the internal parameter
fd	if fd==friction then bbb is calculated. if fd==dilation then bbb_flow is calculated
bbb	either bbb or bbb_flow, depending on fd

Definition at line 177 of file TensorMechanicsPlasticDruckerPrager.C.

 {
   if (_zero_phi_hardening && (fd == friction))
   {
     dbbb = 0;
     return;
   }
   if (_zero_psi_hardening && (fd == dilation))
   {
     dbbb = 0;
     return;
   }
   const Real s = (fd == friction) ? std::sin(_mc_phi.value(intnl)) : std::sin(_mc_psi.value(intnl));
   const Real ds = (fd == friction) ? std::cos(_mc_phi.value(intnl)) * _mc_phi.derivative(intnl)
                                    : std::cos(_mc_psi.value(intnl)) * _mc_psi.derivative(intnl);
   switch (_mc_interpolation_scheme)
   {
     case 0: // outer_tip
       dbbb = 2.0 / std::sqrt(3.0) * (ds / (3.0 - s) + s * ds / Utility::pow<2>(3.0 - s));
       break;
     case 1: // inner_tip
       dbbb = 2.0 / std::sqrt(3.0) * (ds / (3.0 + s) - s * ds / Utility::pow<2>(3.0 + s));
       break;
     case 2: // lode_zero
       dbbb = ds / 3.0;
       break;
     case 3: // inner_edge
       dbbb = ds / std::sqrt(9.0 + 3.0 * Utility::pow<2>(s)) -
              3 * s * s * ds / std::pow(9.0 + 3.0 * Utility::pow<2>(s), 1.5);
       break;
     case 4: // native
       const Real c =
           (fd == friction) ? std::cos(_mc_phi.value(intnl)) : std::cos(_mc_psi.value(intnl));
       const Real dc = (fd == friction)
                           ? -std::sin(_mc_phi.value(intnl)) * _mc_phi.derivative(intnl)
                           : -std::sin(_mc_psi.value(intnl)) * _mc_psi.derivative(intnl);
       dbbb = ds / c - s * dc / Utility::pow<2>(c);
       break;
   }
 }

Referenced by CappedDruckerPragerStressUpdate::computeAllQ(), TensorMechanicsPlasticDruckerPragerHyperbolic::consistentTangentOperator(), dflowPotential_dintnl(), TensorMechanicsPlasticDruckerPragerHyperbolic::returnMap(), and CappedDruckerPragerStressUpdate::setIntnlDerivatives().

◆ dyieldFunction_dintnl()

Real TensorMechanicsPlasticDruckerPrager::dyieldFunction_dintnl	(	const RankTwoTensor &	stress,
		Real	intnl
	)		const

overrideprotectedvirtual

The derivative of yield function with respect to the internal parameter.

Parameters

stress	the stress at which to calculate the yield function
intnl	internal parameter

Returns: the derivative

Reimplemented from TensorMechanicsPlasticModel.

Definition at line 105 of file TensorMechanicsPlasticDruckerPrager.C.

 {
   Real daaa;
   Real dbbb;
   dbothAB(intnl, daaa, dbbb);
   return stress.trace() * dbbb - daaa;
 }

Referenced by TensorMechanicsPlasticDruckerPragerHyperbolic::consistentTangentOperator().

◆ dyieldFunction_dintnlV()

void TensorMechanicsPlasticModel::dyieldFunction_dintnlV	(	const RankTwoTensor &	stress,
		Real	intnl,
		std::vector< Real > &	df_dintnl
	)		const

virtualinherited

The derivative of yield functions with respect to the internal parameter.

Parameters

	stress	the stress at which to calculate the yield function
	intnl	internal parameter
[out]	df_dintnl	df_dintnl[alpha] = df[alpha]/dintnl

Reimplemented in TensorMechanicsPlasticMohrCoulombMulti, and TensorMechanicsPlasticTensileMulti.

Definition at line 98 of file TensorMechanicsPlasticModel.C.

 {
   return df_dintnl.assign(1, dyieldFunction_dintnl(stress, intnl));
 }

◆ dyieldFunction_dstress()

RankTwoTensor TensorMechanicsPlasticDruckerPrager::dyieldFunction_dstress	(	const RankTwoTensor &	stress,
		Real	intnl
	)		const

overrideprotectedvirtual

The derivative of yield function with respect to stress.

Parameters

stress	the stress at which to calculate the yield function
intnl	internal parameter

Returns: df_dstress(i, j) = dyieldFunction/dstress(i, j)

Reimplemented from TensorMechanicsPlasticModel.

Definition at line 96 of file TensorMechanicsPlasticDruckerPrager.C.

 {
   Real bbb;
   onlyB(intnl, friction, bbb);
   return df_dsig(stress, bbb);
 }

◆ dyieldFunction_dstressV()

void TensorMechanicsPlasticModel::dyieldFunction_dstressV	(	const RankTwoTensor &	stress,
		Real	intnl,
		std::vector< RankTwoTensor > &	df_dstress
	)		const

virtualinherited

The derivative of yield functions with respect to stress.

Parameters

	stress	the stress at which to calculate the yield function
	intnl	internal parameter
[out]	df_dstress	df_dstress[alpha](i, j) = dyieldFunction[alpha]/dstress(i, j)

Reimplemented in TensorMechanicsPlasticMohrCoulombMulti, and TensorMechanicsPlasticTensileMulti.

Definition at line 84 of file TensorMechanicsPlasticModel.C.

 {
   df_dstress.assign(1, dyieldFunction_dstress(stress, intnl));
 }

◆ execute()

void TensorMechanicsPlasticModel::execute ( )

inherited

Definition at line 47 of file TensorMechanicsPlasticModel.C.

48 {

49 }

◆ finalize()

void TensorMechanicsPlasticModel::finalize ( )

inherited

Definition at line 52 of file TensorMechanicsPlasticModel.C.

53 {

54 }

◆ flowPotential()

RankTwoTensor TensorMechanicsPlasticDruckerPrager::flowPotential	(	const RankTwoTensor &	stress,
		Real	intnl
	)		const

overrideprotectedvirtual

The flow potential.

Parameters

stress	the stress at which to calculate the flow potential
intnl	internal parameter

Returns: the flow potential

Reimplemented from TensorMechanicsPlasticModel.

Definition at line 115 of file TensorMechanicsPlasticDruckerPrager.C.

 {
   Real bbb_flow;
   onlyB(intnl, dilation, bbb_flow);
   return df_dsig(stress, bbb_flow);
 }

◆ flowPotentialV()

void TensorMechanicsPlasticModel::flowPotentialV	(	const RankTwoTensor &	stress,
		Real	intnl,
		std::vector< RankTwoTensor > &	r
	)		const

virtualinherited

The flow potentials.

Parameters

	stress	the stress at which to calculate the flow potential
	intnl	internal parameter
[out]	r	r[alpha] is the flow potential for the "alpha" yield function

Reimplemented in TensorMechanicsPlasticMohrCoulombMulti, and TensorMechanicsPlasticTensileMulti.

Definition at line 111 of file TensorMechanicsPlasticModel.C.

 {
   return r.assign(1, flowPotential(stress, intnl));
 }

◆ hardPotential()

Real TensorMechanicsPlasticModel::hardPotential	(	const RankTwoTensor &	stress,
		Real	intnl
	)		const

protectedvirtualinherited

The hardening potential.

Parameters

stress	the stress at which to calculate the hardening potential
intnl	internal parameter

Returns: the hardening potential

Reimplemented in TensorMechanicsPlasticMeanCapTC.

Definition at line 147 of file TensorMechanicsPlasticModel.C.

 {
   return -1.0;
 }

Referenced by TensorMechanicsPlasticModel::hardPotentialV().

◆ hardPotentialV()

void TensorMechanicsPlasticModel::hardPotentialV	(	const RankTwoTensor &	stress,
		Real	intnl,
		std::vector< Real > &	h
	)		const

virtualinherited

The hardening potential.

Parameters

	stress	the stress at which to calculate the hardening potential
	intnl	internal parameter
[out]	h	h[alpha] is the hardening potential for the "alpha" yield function

Definition at line 152 of file TensorMechanicsPlasticModel.C.

 {
   h.assign(numberSurfaces(), hardPotential(stress, intnl));
 }

◆ initialize()

void TensorMechanicsPlasticModel::initialize ( )

inherited

Definition at line 42 of file TensorMechanicsPlasticModel.C.

43 {

44 }

◆ initializeAandB()

void TensorMechanicsPlasticDruckerPrager::initializeAandB	(	Real	intnl,
		Real &	aaa,
		Real &	bbb
	)		const

private

Returns the Drucker-Prager parameters A nice reference on the different relationships between Drucker-Prager and Mohr-Coulomb is H Jiang and X Yongli, A note on the Mohr-Coulomb and Drucker-Prager strength criteria, Mechanics Research Communications 38 (2011) 309-314.

This function uses Table1 in that reference, with the following translations aaa = k bbb = -alpha/3

Parameters

	intnl	The internal parameter
[out]	aaa	The Drucker-Prager aaa quantity
[out]	bbb	The Drucker-Prager bbb quantity

Definition at line 270 of file TensorMechanicsPlasticDruckerPrager.C.

 {
   const Real C = _mc_cohesion.value(intnl);
   const Real cosphi = std::cos(_mc_phi.value(intnl));
   const Real sinphi = std::sin(_mc_phi.value(intnl));
   switch (_mc_interpolation_scheme)
   {
     case 0: // outer_tip
       aaa = 2.0 * std::sqrt(3.0) * C * cosphi / (3.0 - sinphi);
       bbb = 2.0 * sinphi / std::sqrt(3.0) / (3.0 - sinphi);
       break;
     case 1: // inner_tip
       aaa = 2.0 * std::sqrt(3.0) * C * cosphi / (3.0 + sinphi);
       bbb = 2.0 * sinphi / std::sqrt(3.0) / (3.0 + sinphi);
       break;
     case 2: // lode_zero
       aaa = C * cosphi;
       bbb = sinphi / 3.0;
       break;
     case 3: // inner_edge
       aaa = 3.0 * C * cosphi / std::sqrt(9.0 + 3.0 * Utility::pow<2>(sinphi));
       bbb = sinphi / std::sqrt(9.0 + 3.0 * Utility::pow<2>(sinphi));
       break;
     case 4: // native
       aaa = C;
       bbb = sinphi / cosphi;
       break;
   }
 }

Referenced by bothAB(), and TensorMechanicsPlasticDruckerPrager().

◆ initializeB()

void TensorMechanicsPlasticDruckerPrager::initializeB	(	Real	intnl,
		int	fd,
		Real &	bbb
	)		const

private

Returns the Drucker-Prager parameters A nice reference on the different relationships between Drucker-Prager and Mohr-Coulomb is H Jiang and X Yongli, A note on the Mohr-Coulomb and Drucker-Prager strength criteria, Mechanics Research Communications 38 (2011) 309-314.

This function uses Table1 in that reference, with the following translations aaa = k bbb = -alpha/3

Parameters

	intnl	The internal parameter
	fd	If fd == frction then the friction angle is used to set bbb, otherwise the dilation angle is used
[out]	bbb	The Drucker-Prager bbb quantity

Definition at line 301 of file TensorMechanicsPlasticDruckerPrager.C.

 {
   const Real s = (fd == friction) ? std::sin(_mc_phi.value(intnl)) : std::sin(_mc_psi.value(intnl));
   switch (_mc_interpolation_scheme)
   {
     case 0: // outer_tip
       bbb = 2.0 * s / std::sqrt(3.0) / (3.0 - s);
       break;
     case 1: // inner_tip
       bbb = 2.0 * s / std::sqrt(3.0) / (3.0 + s);
       break;
     case 2: // lode_zero
       bbb = s / 3.0;
       break;
     case 3: // inner_edge
       bbb = s / std::sqrt(9.0 + 3.0 * Utility::pow<2>(s));
       break;
     case 4: // native
       const Real c =
           (fd == friction) ? std::cos(_mc_phi.value(intnl)) : std::cos(_mc_psi.value(intnl));
       bbb = s / c;
       break;
   }
 }

Referenced by onlyB(), and TensorMechanicsPlasticDruckerPrager().

◆ KuhnTuckerSingleSurface()

bool TensorMechanicsPlasticModel::KuhnTuckerSingleSurface	(	Real	yf,
		Real	dpm,
		Real	dpm_tol
	)		const

inherited

Returns true if the Kuhn-Tucker conditions for the single surface are satisfied.

Parameters

yf	Yield function value
dpm	plastic multiplier
dpm_tol	tolerance on plastic multiplier: viz dpm>-dpm_tol means "dpm is non-negative"

Definition at line 248 of file TensorMechanicsPlasticModel.C.

 {
   return (dpm == 0 && yf <= _f_tol) || (dpm > -dpm_tol && yf <= _f_tol && yf >= -_f_tol);
 }

Referenced by TensorMechanicsPlasticMohrCoulombMulti::KuhnTuckerOK(), TensorMechanicsPlasticTensileMulti::KuhnTuckerOK(), and TensorMechanicsPlasticModel::returnMap().

◆ modelName()

std::string TensorMechanicsPlasticDruckerPrager::modelName ( ) const

overridevirtual

Implements TensorMechanicsPlasticModel.

Reimplemented in TensorMechanicsPlasticDruckerPragerHyperbolic.

Definition at line 143 of file TensorMechanicsPlasticDruckerPrager.C.

 {
   return "DruckerPrager";
 }

◆ numberSurfaces()

unsigned TensorMechanicsPlasticModel::numberSurfaces ( ) const

virtualinherited

The number of yield surfaces for this plasticity model.

Reimplemented in TensorMechanicsPlasticMohrCoulombMulti, and TensorMechanicsPlasticTensileMulti.

Definition at line 57 of file TensorMechanicsPlasticModel.C.

 {
   return 1;
 }

Referenced by TensorMechanicsPlasticModel::activeConstraints(), TensorMechanicsPlasticModel::dhardPotential_dintnlV(), TensorMechanicsPlasticModel::dhardPotential_dstressV(), TensorMechanicsPlasticModel::hardPotentialV(), and TensorMechanicsPlasticModel::returnMap().

◆ onlyB()

void TensorMechanicsPlasticDruckerPrager::onlyB	(	Real	intnl,
		int	fd,
		Real &	bbb
	)		const

Calculate bbb or bbb_flow.

Parameters

intnl	the internal parameter
fd	if fd==friction then bbb is calculated. if fd==dilation then bbb_flow is calculated
bbb	either bbb or bbb_flow, depending on fd

Definition at line 161 of file TensorMechanicsPlasticDruckerPrager.C.

 {
   if (_zero_phi_hardening && (fd == friction))
   {
     bbb = _bbb;
     return;
   }
   if (_zero_psi_hardening && (fd == dilation))
   {
     bbb = _bbb_flow;
     return;
   }
   initializeB(intnl, fd, bbb);
 }

Referenced by CappedDruckerPragerStressUpdate::computeAllQ(), TensorMechanicsPlasticDruckerPragerHyperbolic::consistentTangentOperator(), dyieldFunction_dstress(), flowPotential(), CappedDruckerPragerStressUpdate::initializeVars(), TensorMechanicsPlasticDruckerPragerHyperbolic::returnMap(), CappedDruckerPragerStressUpdate::setIntnlDerivatives(), and CappedDruckerPragerStressUpdate::setIntnlValues().

◆ returnMap()

bool TensorMechanicsPlasticModel::returnMap	(	const RankTwoTensor &	trial_stress,
		Real	intnl_old,
		const RankFourTensor &	E_ijkl,
		Real	ep_plastic_tolerance,
		RankTwoTensor &	returned_stress,
		Real &	returned_intnl,
		std::vector< Real > &	dpm,
		RankTwoTensor &	delta_dp,
		std::vector< Real > &	yf,
		bool &	trial_stress_inadmissible
	)		const

virtualinherited

Performs a custom return-map.

You may choose to over-ride this in your derived TensorMechanicsPlasticXXXX class, and you may implement the return-map algorithm in any way that suits you. Eg, using a Newton-Raphson approach, or a radial-return, etc. This may also be used as a quick way of ascertaining whether (trial_stress, intnl_old) is in fact admissible.

For over-riding this function, please note the following.

(1) Denoting the return value of the function by "successful_return", the only possible output values should be: (A) trial_stress_inadmissible=false, successful_return=true. That is, (trial_stress, intnl_old) is in fact admissible (in the elastic domain). (B) trial_stress_inadmissible=true, successful_return=false. That is (trial_stress, intnl_old) is inadmissible (outside the yield surface), and you didn't return to the yield surface. (C) trial_stress_inadmissible=true, successful_return=true. That is (trial_stress, intnl_old) is inadmissible (outside the yield surface), but you did return to the yield surface. The default implementation only handles case (A) and (B): it does not attempt to do a return-map algorithm.

(2) you must correctly signal "successful_return" using the return value of this function. Don't assume the calling function will do Kuhn-Tucker checking and so forth!

(3) In cases (A) and (B) you needn't set returned_stress, returned_intnl, delta_dp, or dpm. This is for computational efficiency.

(4) In cases (A) and (B), you MUST place the yield function values at (trial_stress, intnl_old) into yf so the calling function can use this information optimally. You will have already calculated these yield function values, which can be quite expensive, and it's not very optimal for the calling function to have to re-calculate them.

(5) In case (C), you need to set: returned_stress (the returned value of stress) returned_intnl (the returned value of the internal variable) delta_dp (the change in plastic strain) dpm (the plastic multipliers needed to bring about the return) yf (yield function values at the returned configuration)

(Note, if you over-ride returnMap, you will probably want to override consistentTangentOpertor too, otherwise it will default to E_ijkl.)

Parameters

	trial_stress	The trial stress
	intnl_old	Value of the internal parameter
	E_ijkl	Elasticity tensor
	ep_plastic_tolerance	Tolerance defined by the user for the plastic strain
[out]	returned_stress	In case (C): lies on the yield surface after returning and produces the correct plastic strain (normality condition). Otherwise: not defined
[out]	returned_intnl	In case (C): the value of the internal parameter after returning. Otherwise: not defined
[out]	dpm	In case (C): the plastic multipliers needed to bring about the return. Otherwise: not defined
[out]	delta_dp	In case (C): The change in plastic strain induced by the return process. Otherwise: not defined
[out]	yf	In case (C): the yield function at (returned_stress, returned_intnl). Otherwise: the yield function at (trial_stress, intnl_old)
[out]	trial_stress_inadmissible	Should be set to false if the trial_stress is admissible, and true if the trial_stress is inadmissible. This can be used by the calling prorgram

Returns: true if a successful return (or a return-map not needed), false if the trial_stress is inadmissible but the return process failed

Reimplemented in TensorMechanicsPlasticTensileMulti, TensorMechanicsPlasticMohrCoulombMulti, TensorMechanicsPlasticDruckerPragerHyperbolic, TensorMechanicsPlasticMeanCapTC, and TensorMechanicsPlasticJ2.

Definition at line 221 of file TensorMechanicsPlasticModel.C.

 {
   trial_stress_inadmissible = false;
   yieldFunctionV(trial_stress, intnl_old, yf);
  
   for (unsigned sf = 0; sf < numberSurfaces(); ++sf)
     if (yf[sf] > _f_tol)
       trial_stress_inadmissible = true;
  
   // example of checking Kuhn-Tucker
   std::vector<Real> dpm(numberSurfaces(), 0);
   for (unsigned sf = 0; sf < numberSurfaces(); ++sf)
     if (!KuhnTuckerSingleSurface(yf[sf], dpm[sf], 0))
       return false;
   return true;
 }

Referenced by TensorMechanicsPlasticJ2::returnMap(), TensorMechanicsPlasticDruckerPragerHyperbolic::returnMap(), TensorMechanicsPlasticMeanCapTC::returnMap(), TensorMechanicsPlasticMohrCoulombMulti::returnMap(), and TensorMechanicsPlasticTensileMulti::returnMap().

◆ useCustomCTO()

bool TensorMechanicsPlasticModel::useCustomCTO ( ) const

virtualinherited

Returns false. You will want to override this in your derived class if you write a custom consistent tangent operator function.

Reimplemented in TensorMechanicsPlasticTensileMulti, TensorMechanicsPlasticMeanCapTC, TensorMechanicsPlasticDruckerPragerHyperbolic, and TensorMechanicsPlasticJ2.

Definition at line 215 of file TensorMechanicsPlasticModel.C.

 {
   return false;
 }

◆ useCustomReturnMap()

bool TensorMechanicsPlasticModel::useCustomReturnMap ( ) const

virtualinherited

Returns false. You will want to override this in your derived class if you write a custom returnMap function.

Reimplemented in TensorMechanicsPlasticMohrCoulombMulti, TensorMechanicsPlasticTensileMulti, TensorMechanicsPlasticMeanCapTC, TensorMechanicsPlasticDruckerPragerHyperbolic, and TensorMechanicsPlasticJ2.

Definition at line 209 of file TensorMechanicsPlasticModel.C.

 {
   return false;
 }

◆ validParams()

InputParameters TensorMechanicsPlasticDruckerPrager::validParams ( )

static

Definition at line 19 of file TensorMechanicsPlasticDruckerPrager.C.

 {
   InputParameters params = TensorMechanicsPlasticModel::validParams();
   MooseEnum mc_interpolation_scheme("outer_tip=0 inner_tip=1 lode_zero=2 inner_edge=3 native=4",
                                     "lode_zero");
   params.addParam<MooseEnum>(
       "mc_interpolation_scheme",
       mc_interpolation_scheme,
       "Scheme by which the Drucker-Prager cohesion, friction angle and dilation angle are set from "
       "the Mohr-Coulomb parameters mc_cohesion, mc_friction_angle and mc_dilation_angle.  Consider "
       "the DP and MC yield surfaces on the deviatoric (octahedral) plane.  Outer_tip: the DP "
       "circle touches the outer tips of the MC hex.  Inner_tip: the DP circle touches the inner "
       "tips of the MC hex.  Lode_zero: the DP circle intersects the MC hex at lode angle=0.  "
       "Inner_edge: the DP circle is the largest circle that wholly fits inside the MC hex.  "
       "Native: The DP cohesion, friction angle and dilation angle are set equal to the mc_ "
       "parameters entered.");
   params.addRequiredParam<UserObjectName>(
       "mc_cohesion",
       "A TensorMechanicsHardening UserObject that defines hardening of the "
       "Mohr-Coulomb cohesion.  Physically this should not be negative.");
   params.addRequiredParam<UserObjectName>(
       "mc_friction_angle",
       "A TensorMechanicsHardening UserObject that defines hardening of the "
       "Mohr-Coulomb friction angle (in radians).  Physically this should be "
       "between 0 and Pi/2.");
   params.addRequiredParam<UserObjectName>(
       "mc_dilation_angle",
       "A TensorMechanicsHardening UserObject that defines hardening of the "
       "Mohr-Coulomb dilation angle (in radians).  Usually the dilation angle "
       "is not greater than the friction angle, and it is between 0 and Pi/2.");
   params.addClassDescription(
       "Non-associative Drucker Prager plasticity with no smoothing of the cone tip.");
   return params;
 }

Referenced by TensorMechanicsPlasticDruckerPragerHyperbolic::validParams().

◆ yieldFunction()

Real TensorMechanicsPlasticDruckerPrager::yieldFunction	(	const RankTwoTensor &	stress,
		Real	intnl
	)		const

overrideprotectedvirtual

The following functions are what you should override when building single-plasticity models.

The yield function

Parameters

stress	the stress at which to calculate the yield function
intnl	internal parameter

Returns: the yield function

Reimplemented from TensorMechanicsPlasticModel.

Reimplemented in TensorMechanicsPlasticDruckerPragerHyperbolic.

Definition at line 80 of file TensorMechanicsPlasticDruckerPrager.C.

 {
   Real aaa;
   Real bbb;
   bothAB(intnl, aaa, bbb);
   return std::sqrt(stress.secondInvariant()) + stress.trace() * bbb - aaa;
 }

◆ yieldFunctionV()

void TensorMechanicsPlasticModel::yieldFunctionV	(	const RankTwoTensor &	stress,
		Real	intnl,
		std::vector< Real > &	f
	)		const

virtualinherited

Calculates the yield functions.

Note that for single-surface plasticity you don't want to override this - override the private yieldFunction below

Parameters

	stress	the stress at which to calculate the yield function
	intnl	internal parameter
[out]	f	the yield functions

Reimplemented in TensorMechanicsPlasticMohrCoulombMulti, and TensorMechanicsPlasticTensileMulti.

Definition at line 69 of file TensorMechanicsPlasticModel.C.

 {
   f.assign(1, yieldFunction(stress, intnl));
 }

Referenced by TensorMechanicsPlasticModel::returnMap().

Member Data Documentation

◆ _aaa

Real TensorMechanicsPlasticDruckerPrager::_aaa

private

Definition at line 113 of file TensorMechanicsPlasticDruckerPrager.h.

Referenced by bothAB(), and TensorMechanicsPlasticDruckerPrager().

◆ _bbb

Real TensorMechanicsPlasticDruckerPrager::_bbb

private

Definition at line 114 of file TensorMechanicsPlasticDruckerPrager.h.

Referenced by bothAB(), onlyB(), and TensorMechanicsPlasticDruckerPrager().

◆ _bbb_flow

Real TensorMechanicsPlasticDruckerPrager::_bbb_flow

private

Definition at line 115 of file TensorMechanicsPlasticDruckerPrager.h.

Referenced by onlyB(), and TensorMechanicsPlasticDruckerPrager().

◆ _f_tol

const Real TensorMechanicsPlasticModel::_f_tol

inherited

Tolerance on yield function.

Definition at line 175 of file TensorMechanicsPlasticModel.h.

◆ _ic_tol

const Real TensorMechanicsPlasticModel::_ic_tol

inherited

Tolerance on internal constraint.

Definition at line 178 of file TensorMechanicsPlasticModel.h.

◆ _mc_cohesion

const TensorMechanicsHardeningModel& TensorMechanicsPlasticDruckerPrager::_mc_cohesion

protected

Hardening model for cohesion.

Definition at line 70 of file TensorMechanicsPlasticDruckerPrager.h.

Referenced by dbothAB(), initializeAandB(), and TensorMechanicsPlasticDruckerPrager().

◆ _mc_interpolation_scheme

const MooseEnum TensorMechanicsPlasticDruckerPrager::_mc_interpolation_scheme

protected

The parameters aaa and bbb are chosen to closely match the Mohr-Coulomb yield surface.

Various matching schemes may be used and this parameter holds the user's choice.

Definition at line 98 of file TensorMechanicsPlasticDruckerPrager.h.

Referenced by dbothAB(), donlyB(), initializeAandB(), and initializeB().

◆ _mc_phi

const TensorMechanicsHardeningModel& TensorMechanicsPlasticDruckerPrager::_mc_phi

protected

Hardening model for tan(phi)

Definition at line 73 of file TensorMechanicsPlasticDruckerPrager.h.

Referenced by dbothAB(), donlyB(), initializeAandB(), initializeB(), and TensorMechanicsPlasticDruckerPrager().

◆ _mc_psi

const TensorMechanicsHardeningModel& TensorMechanicsPlasticDruckerPrager::_mc_psi

protected

Hardening model for tan(psi)

Definition at line 76 of file TensorMechanicsPlasticDruckerPrager.h.

Referenced by donlyB(), initializeB(), and TensorMechanicsPlasticDruckerPrager().

◆ _zero_cohesion_hardening

const bool TensorMechanicsPlasticDruckerPrager::_zero_cohesion_hardening

protected

True if there is no hardening of cohesion.

Definition at line 101 of file TensorMechanicsPlasticDruckerPrager.h.

Referenced by bothAB(), and dbothAB().

◆ _zero_phi_hardening

const bool TensorMechanicsPlasticDruckerPrager::_zero_phi_hardening

protected

True if there is no hardening of friction angle.

Definition at line 104 of file TensorMechanicsPlasticDruckerPrager.h.

Referenced by bothAB(), dbothAB(), donlyB(), and onlyB().

◆ _zero_psi_hardening

const bool TensorMechanicsPlasticDruckerPrager::_zero_psi_hardening

protected

True if there is no hardening of dilation angle.

Definition at line 107 of file TensorMechanicsPlasticDruckerPrager.h.

Referenced by donlyB(), and onlyB().

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

tensor_mechanics/include/userobjects/TensorMechanicsPlasticDruckerPrager.h
tensor_mechanics/src/userobjects/TensorMechanicsPlasticDruckerPrager.C

Public Types

Public Member Functions

Static Public Member Functions

Public Attributes

Protected Member Functions

Protected Attributes

Private Member Functions

Private Attributes

Detailed Description

Member Enumeration Documentation

◆ FrictionDilation

Constructor & Destructor Documentation

◆ TensorMechanicsPlasticDruckerPrager()

Member Function Documentation

◆ activeConstraints()

◆ bothAB()

◆ consistentTangentOperator()

◆ dbothAB()

◆ df_dsig()

◆ dflowPotential_dintnl()

◆ dflowPotential_dintnlV()

◆ dflowPotential_dstress()

◆ dflowPotential_dstressV()

◆ dhardPotential_dintnl()

◆ dhardPotential_dintnlV()

◆ dhardPotential_dstress()

◆ dhardPotential_dstressV()

◆ donlyB()

◆ dyieldFunction_dintnl()

◆ dyieldFunction_dintnlV()

◆ dyieldFunction_dstress()

◆ dyieldFunction_dstressV()

◆ execute()

◆ finalize()

◆ flowPotential()

◆ flowPotentialV()

◆ hardPotential()

◆ hardPotentialV()

◆ initialize()

◆ initializeAandB()

◆ initializeB()

◆ KuhnTuckerSingleSurface()

◆ modelName()

◆ numberSurfaces()

◆ onlyB()

◆ returnMap()

◆ useCustomCTO()

◆ useCustomReturnMap()

◆ validParams()

◆ yieldFunction()

◆ yieldFunctionV()

Member Data Documentation

◆ _aaa

◆ _bbb

◆ _bbb_flow

◆ _f_tol

◆ _ic_tol

◆ _mc_cohesion

◆ _mc_interpolation_scheme

◆ _mc_phi

◆ _mc_psi

◆ _zero_cohesion_hardening

◆ _zero_phi_hardening

◆ _zero_psi_hardening