Rate-independent associative weak-plane tensile failure with hardening/softening. More...

#include <TensorMechanicsPlasticWeakPlaneShear.h>

Inheritance diagram for TensorMechanicsPlasticWeakPlaneShear:

Public Member Functions
	TensorMechanicsPlasticWeakPlaneShear (const InputParameters &parameters)

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

virtual std::string	modelName () const override

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

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

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

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

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

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

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

virtual Real	smooth (const RankTwoTensor &stress) const
	returns the 'a' parameter - see doco for _tip_scheme More...

virtual Real	dsmooth (const RankTwoTensor &stress) const
	returns the da/dstress(2,2) - see doco for _tip_scheme More...

virtual Real	d2smooth (const RankTwoTensor &stress) const
	returns the d^2a/dstress(2,2)^2 - see doco for _tip_scheme More...

virtual Real	cohesion (const Real internal_param) const
	cohesion as a function of internal parameter More...

virtual Real	dcohesion (const Real internal_param) const
	d(cohesion)/d(internal_param) More...

virtual Real	tan_phi (const Real internal_param) const
	tan_phi as a function of internal parameter More...

virtual Real	dtan_phi (const Real internal_param) const
	d(tan_phi)/d(internal_param); More...

virtual Real	tan_psi (const Real internal_param) const
	tan_psi as a function of internal parameter More...

virtual Real	dtan_psi (const Real internal_param) const
	d(tan_psi)/d(internal_param); 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 &	_cohesion
	Hardening model for cohesion. More...

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

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

MooseEnum	_tip_scheme
	The yield function is modified to f = sqrt(s_xz^2 + s_yz^2 + a) + s_zz*_tan_phi - _cohesion where "a" depends on the tip_scheme. More...

Real	_small_smoother2
	smoothing parameter for the cone's tip - see doco for _tip_scheme More...

Real	_cap_start
	smoothing parameter dictating when the 'cap' will start - see doco for _tip_scheme More...

Real	_cap_rate
	dictates how quickly the 'cap' degenerates to a hemisphere - see doco for _tip_scheme More...

Detailed Description

Rate-independent associative weak-plane tensile failure with hardening/softening.

The cone's tip is smoothed.

Definition at line 24 of file TensorMechanicsPlasticWeakPlaneShear.h.

Constructor & Destructor Documentation

◆ TensorMechanicsPlasticWeakPlaneShear()

TensorMechanicsPlasticWeakPlaneShear::TensorMechanicsPlasticWeakPlaneShear ( const InputParameters & parameters )

Definition at line 62 of file TensorMechanicsPlasticWeakPlaneShear.C.

   : TensorMechanicsPlasticModel(parameters),
     _cohesion(getUserObject<TensorMechanicsHardeningModel>("cohesion")),
     _tan_phi(getUserObject<TensorMechanicsHardeningModel>("tan_friction_angle")),
     _tan_psi(getUserObject<TensorMechanicsHardeningModel>("tan_dilation_angle")),
     _tip_scheme(getParam<MooseEnum>("tip_scheme")),
     _small_smoother2(Utility::pow<2>(getParam<Real>("smoother"))),
     _cap_start(getParam<Real>("cap_start")),
     _cap_rate(getParam<Real>("cap_rate"))
 {
   // With arbitary UserObjects, it is impossible to check everything, and
   // I think this is the best I can do
   if (tan_phi(0) < 0 || tan_psi(0) < 0)
     mooseError("Weak-Plane-Shear friction and dilation angles must lie in [0, Pi/2]");
   if (tan_phi(0) < tan_psi(0))
     mooseError(
         "Weak-Plane-Shear friction angle must not be less than Weak-Plane-Shear dilation angle");
   if (cohesion(0) < 0)
     mooseError("Weak-Plane-Shear cohesion must not be negative");
 }

Member Function Documentation

◆ activeConstraints()

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

overridevirtual

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 from TensorMechanicsPlasticModel.

Definition at line 278 of file TensorMechanicsPlasticWeakPlaneShear.C.

 {
   act.assign(1, false);
   returned_stress = stress;
  
   if (f[0] <= _f_tol)
     return;
  
   // in the following i will derive returned_stress for the case smoother=0
  
   Real tanpsi = tan_psi(intnl);
   Real tanphi = tan_phi(intnl);
  
   // norm is the normal to the yield surface
   // with f having psi (dilation angle) instead of phi:
   // norm(0) = df/dsig(2,0) = df/dsig(0,2)
   // norm(1) = df/dsig(2,1) = df/dsig(1,2)
   // norm(2) = df/dsig(2,2)
   std::vector<Real> norm(3, 0.0);
   const Real tau = std::sqrt(Utility::pow<2>((stress(0, 2) + stress(2, 0)) / 2.0) +
                              Utility::pow<2>((stress(1, 2) + stress(2, 1)) / 2.0));
   if (tau > 0.0)
   {
     norm[0] = 0.25 * (stress(0, 2) + stress(2, 0)) / tau;
     norm[1] = 0.25 * (stress(1, 2) + stress(2, 1)) / tau;
   }
   else
   {
     returned_stress(2, 2) = cohesion(intnl) / tanphi;
     act[0] = true;
     return;
   }
   norm[2] = tanpsi;
  
   // to get the flow directions, we have to multiply norm by Eijkl.
   // I assume that E(0,2,0,2) = E(1,2,1,2), and E(2,2,0,2) = 0 = E(0,2,1,2), etc
   // with the usual symmetry.  This makes finding the returned_stress
   // much easier.
   // returned_stress = stress - alpha*n
   // where alpha is chosen so that f = 0
   Real alpha = f[0] / (Eijkl(0, 2, 0, 2) + Eijkl(2, 2, 2, 2) * tanpsi * tanphi);
  
   if (1 - alpha * Eijkl(0, 2, 0, 2) / tau >= 0)
   {
     // returning to the "surface" of the cone
     returned_stress(2, 2) = stress(2, 2) - alpha * Eijkl(2, 2, 2, 2) * norm[2];
     returned_stress(0, 2) = returned_stress(2, 0) =
         stress(0, 2) - alpha * 2.0 * Eijkl(0, 2, 0, 2) * norm[0];
     returned_stress(1, 2) = returned_stress(2, 1) =
         stress(1, 2) - alpha * 2.0 * Eijkl(1, 2, 1, 2) * norm[1];
   }
   else
   {
     // returning to the "tip" of the cone
     returned_stress(2, 2) = cohesion(intnl) / tanphi;
     returned_stress(0, 2) = returned_stress(2, 0) = returned_stress(1, 2) = returned_stress(2, 1) =
         0.0;
   }
   returned_stress(0, 0) =
       stress(0, 0) - Eijkl(0, 0, 2, 2) * (stress(2, 2) - returned_stress(2, 2)) / Eijkl(2, 2, 2, 2);
   returned_stress(1, 1) =
       stress(1, 1) - Eijkl(1, 1, 2, 2) * (stress(2, 2) - returned_stress(2, 2)) / Eijkl(2, 2, 2, 2);
  
   act[0] = true;
 }

◆ cohesion()

Real TensorMechanicsPlasticWeakPlaneShear::cohesion ( const Real internal_param ) const

protectedvirtual

cohesion as a function of internal parameter

Definition at line 185 of file TensorMechanicsPlasticWeakPlaneShear.C.

 {
   return _cohesion.value(internal_param);
 }

Referenced by activeConstraints(), TensorMechanicsPlasticWeakPlaneShear(), and yieldFunction().

◆ 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().

◆ d2smooth()

Real TensorMechanicsPlasticWeakPlaneShear::d2smooth ( const RankTwoTensor & stress ) const

protectedvirtual

returns the d^2a/dstress(2,2)^2 - see doco for _tip_scheme

Definition at line 256 of file TensorMechanicsPlasticWeakPlaneShear.C.

 {
   Real d2smoother2 = 0;
   if (_tip_scheme == "cap")
   {
     Real x = stress(2, 2) - _cap_start;
     Real p = 0;
     Real dp_dx = 0;
     Real d2p_dx2 = 0;
     if (x > 0)
     {
       const Real exp_cap_rate_x = std::exp(-_cap_rate * x);
       p = x * (1.0 - exp_cap_rate_x);
       dp_dx = (1.0 - exp_cap_rate_x) + x * _cap_rate * exp_cap_rate_x;
       d2p_dx2 = 2.0 * _cap_rate * exp_cap_rate_x - x * Utility::pow<2>(_cap_rate) * exp_cap_rate_x;
     }
     d2smoother2 += 2.0 * Utility::pow<2>(dp_dx) + 2.0 * p * d2p_dx2;
   }
   return d2smoother2;
 }

Referenced by dflowPotential_dstress().

◆ dcohesion()

Real TensorMechanicsPlasticWeakPlaneShear::dcohesion ( const Real internal_param ) const

protectedvirtual

d(cohesion)/d(internal_param)

Definition at line 191 of file TensorMechanicsPlasticWeakPlaneShear.C.

 {
   return _cohesion.derivative(internal_param);
 }

Referenced by dyieldFunction_dintnl().

◆ df_dsig()

RankTwoTensor TensorMechanicsPlasticWeakPlaneShear::df_dsig	(	const RankTwoTensor &	stress,
		Real	_tan_phi_or_psi
	)		const

protected

Function that's used in dyieldFunction_dstress and flowPotential.

Definition at line 94 of file TensorMechanicsPlasticWeakPlaneShear.C.

 {
   RankTwoTensor deriv; // the constructor zeroes this
  
   Real tau = std::sqrt(Utility::pow<2>((stress(0, 2) + stress(2, 0)) / 2.0) +
                        Utility::pow<2>((stress(1, 2) + stress(2, 1)) / 2.0) + smooth(stress));
   // note that i explicitly symmeterise in preparation for Cosserat
   if (tau == 0.0)
   {
     // the derivative is not defined here, but i want to set it nonzero
     // because otherwise the return direction might be too crazy
     deriv(0, 2) = deriv(2, 0) = 0.5;
     deriv(1, 2) = deriv(2, 1) = 0.5;
   }
   else
   {
     deriv(0, 2) = deriv(2, 0) = 0.25 * (stress(0, 2) + stress(2, 0)) / tau;
     deriv(1, 2) = deriv(2, 1) = 0.25 * (stress(1, 2) + stress(2, 1)) / tau;
     deriv(2, 2) = 0.5 * dsmooth(stress) / tau;
   }
   deriv(2, 2) += _tan_phi_or_psi;
   return deriv;
 }

Referenced by dyieldFunction_dstress(), and flowPotential().

◆ dflowPotential_dintnl()

RankTwoTensor TensorMechanicsPlasticWeakPlaneShear::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 176 of file TensorMechanicsPlasticWeakPlaneShear.C.

 {
   RankTwoTensor dr_dintnl;
   dr_dintnl(2, 2) = dtan_psi(intnl);
   return dr_dintnl;
 }

◆ 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 TensorMechanicsPlasticWeakPlaneShear::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.

Definition at line 140 of file TensorMechanicsPlasticWeakPlaneShear.C.

 {
   RankFourTensor dr_dstress;
   Real tau = std::sqrt(Utility::pow<2>((stress(0, 2) + stress(2, 0)) / 2.0) +
                        Utility::pow<2>((stress(1, 2) + stress(2, 1)) / 2.0) + smooth(stress));
   if (tau == 0.0)
     return dr_dstress;
  
   // note that i explicitly symmeterise
   RankTwoTensor dtau;
   dtau(0, 2) = dtau(2, 0) = 0.25 * (stress(0, 2) + stress(2, 0)) / tau;
   dtau(1, 2) = dtau(2, 1) = 0.25 * (stress(1, 2) + stress(2, 1)) / tau;
   dtau(2, 2) = 0.5 * dsmooth(stress) / tau;
  
   for (unsigned i = 0; i < 3; ++i)
     for (unsigned j = 0; j < 3; ++j)
       for (unsigned k = 0; k < 3; ++k)
         for (unsigned l = 0; l < 3; ++l)
           dr_dstress(i, j, k, l) = -dtau(i, j) * dtau(k, l) / tau;
  
   // note that i explicitly symmeterise
   dr_dstress(0, 2, 0, 2) += 0.25 / tau;
   dr_dstress(0, 2, 2, 0) += 0.25 / tau;
   dr_dstress(2, 0, 0, 2) += 0.25 / tau;
   dr_dstress(2, 0, 2, 0) += 0.25 / tau;
   dr_dstress(1, 2, 1, 2) += 0.25 / tau;
   dr_dstress(1, 2, 2, 1) += 0.25 / tau;
   dr_dstress(2, 1, 1, 2) += 0.25 / tau;
   dr_dstress(2, 1, 2, 1) += 0.25 / tau;
   dr_dstress(2, 2, 2, 2) += 0.5 * d2smooth(stress) / tau;
  
   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));
 }

◆ dsmooth()

Real TensorMechanicsPlasticWeakPlaneShear::dsmooth ( const RankTwoTensor & stress ) const

protectedvirtual

returns the da/dstress(2,2) - see doco for _tip_scheme

Definition at line 236 of file TensorMechanicsPlasticWeakPlaneShear.C.

 {
   Real dsmoother2 = 0;
   if (_tip_scheme == "cap")
   {
     Real x = stress(2, 2) - _cap_start;
     Real p = 0;
     Real dp_dx = 0;
     if (x > 0)
     {
       const Real exp_cap_rate_x = std::exp(-_cap_rate * x);
       p = x * (1 - exp_cap_rate_x);
       dp_dx = (1 - exp_cap_rate_x) + x * _cap_rate * exp_cap_rate_x;
     }
     dsmoother2 += 2 * p * dp_dx;
   }
   return dsmoother2;
 }

Referenced by df_dsig(), and dflowPotential_dstress().

◆ dtan_phi()

Real TensorMechanicsPlasticWeakPlaneShear::dtan_phi ( const Real internal_param ) const

protectedvirtual

d(tan_phi)/d(internal_param);

Definition at line 203 of file TensorMechanicsPlasticWeakPlaneShear.C.

 {
   return _tan_phi.derivative(internal_param);
 }

Referenced by dyieldFunction_dintnl().

◆ dtan_psi()

Real TensorMechanicsPlasticWeakPlaneShear::dtan_psi ( const Real internal_param ) const

protectedvirtual

d(tan_psi)/d(internal_param);

Definition at line 215 of file TensorMechanicsPlasticWeakPlaneShear.C.

 {
   return _tan_psi.derivative(internal_param);
 }

Referenced by dflowPotential_dintnl().

◆ dyieldFunction_dintnl()

Real TensorMechanicsPlasticWeakPlaneShear::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 127 of file TensorMechanicsPlasticWeakPlaneShear.C.

 {
   return stress(2, 2) * dtan_phi(intnl) - dcohesion(intnl);
 }

◆ 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 TensorMechanicsPlasticWeakPlaneShear::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 120 of file TensorMechanicsPlasticWeakPlaneShear.C.

 {
   return df_dsig(stress, tan_phi(intnl));
 }

◆ 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 TensorMechanicsPlasticWeakPlaneShear::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 134 of file TensorMechanicsPlasticWeakPlaneShear.C.

 {
   return df_dsig(stress, tan_psi(intnl));
 }

◆ 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 }

◆ 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 TensorMechanicsPlasticWeakPlaneShear::modelName ( ) const

overridevirtual

Implements TensorMechanicsPlasticModel.

Definition at line 350 of file TensorMechanicsPlasticWeakPlaneShear.C.

 {
   return "WeakPlaneShear";
 }

◆ 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().

◆ 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().

◆ smooth()

Real TensorMechanicsPlasticWeakPlaneShear::smooth ( const RankTwoTensor & stress ) const

protectedvirtual

returns the 'a' parameter - see doco for _tip_scheme

Definition at line 221 of file TensorMechanicsPlasticWeakPlaneShear.C.

 {
   Real smoother2 = _small_smoother2;
   if (_tip_scheme == "cap")
   {
     Real x = stress(2, 2) - _cap_start;
     Real p = 0;
     if (x > 0)
       p = x * (1 - std::exp(-_cap_rate * x));
     smoother2 += Utility::pow<2>(p);
   }
   return smoother2;
 }

Referenced by df_dsig(), dflowPotential_dstress(), and yieldFunction().

◆ tan_phi()

Real TensorMechanicsPlasticWeakPlaneShear::tan_phi ( const Real internal_param ) const

protectedvirtual

tan_phi as a function of internal parameter

Definition at line 197 of file TensorMechanicsPlasticWeakPlaneShear.C.

 {
   return _tan_phi.value(internal_param);
 }

Referenced by activeConstraints(), dyieldFunction_dstress(), TensorMechanicsPlasticWeakPlaneShear(), and yieldFunction().

◆ tan_psi()

Real TensorMechanicsPlasticWeakPlaneShear::tan_psi ( const Real internal_param ) const

protectedvirtual

tan_psi as a function of internal parameter

Definition at line 209 of file TensorMechanicsPlasticWeakPlaneShear.C.

 {
   return _tan_psi.value(internal_param);
 }

Referenced by activeConstraints(), flowPotential(), and TensorMechanicsPlasticWeakPlaneShear().

◆ 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 TensorMechanicsPlasticWeakPlaneShear::validParams ( )

static

Definition at line 19 of file TensorMechanicsPlasticWeakPlaneShear.C.

 {
   InputParameters params = TensorMechanicsPlasticModel::validParams();
   params.addRequiredParam<UserObjectName>(
       "cohesion",
       "A TensorMechanicsHardening UserObject that defines hardening of the cohesion.  "
       "Physically the cohesion should not be negative.");
   params.addRequiredParam<UserObjectName>("tan_friction_angle",
                                           "A TensorMechanicsHardening UserObject that defines "
                                           "hardening of tan(friction angle).  Physically the "
                                           "friction angle should be between 0 and 90deg.");
   params.addRequiredParam<UserObjectName>(
       "tan_dilation_angle",
       "A TensorMechanicsHardening UserObject that defines hardening of the "
       "tan(dilation angle).  Usually the dilation angle is not greater than "
       "the friction angle, and it is between 0 and 90deg.");
   MooseEnum tip_scheme("hyperbolic cap", "hyperbolic");
   params.addParam<MooseEnum>(
       "tip_scheme", tip_scheme, "Scheme by which the cone's tip will be smoothed.");
   params.addRequiredRangeCheckedParam<Real>(
       "smoother",
       "smoother>=0",
       "For the 'hyperbolic' tip_scheme, the cone vertex at shear-stress "
       "= 0 will be smoothed by the given amount.  For the 'cap' "
       "tip_scheme, additional smoothing will occur.  Typical value is "
       "0.1*cohesion");
   params.addParam<Real>(
       "cap_start",
       0.0,
       "For the 'cap' tip_scheme, smoothing is performed in the stress_zz > cap_start region");
   params.addRangeCheckedParam<Real>("cap_rate",
                                     0.0,
                                     "cap_rate>=0",
                                     "For the 'cap' tip_scheme, this controls how quickly the cap "
                                     "degenerates to a hemisphere: small values mean a slow "
                                     "degeneration to a hemisphere (and zero means the 'cap' will "
                                     "be totally inactive).  Typical value is 1/cohesion");
   params.addClassDescription("Non-associative finite-strain weak-plane shear perfect plasticity.  "
                              "Here cohesion = 1, tan(phi) = 1 = tan(psi)");
  
   return params;
 }

◆ yieldFunction()

Real TensorMechanicsPlasticWeakPlaneShear::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.

Definition at line 85 of file TensorMechanicsPlasticWeakPlaneShear.C.

 {
   // note that i explicitly symmeterise in preparation for Cosserat
   return std::sqrt(Utility::pow<2>((stress(0, 2) + stress(2, 0)) / 2.0) +
                    Utility::pow<2>((stress(1, 2) + stress(2, 1)) / 2.0) + smooth(stress)) +
          stress(2, 2) * tan_phi(intnl) - cohesion(intnl);
 }

◆ 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

◆ _cap_rate

Real TensorMechanicsPlasticWeakPlaneShear::_cap_rate

protected

dictates how quickly the 'cap' degenerates to a hemisphere - see doco for _tip_scheme

Definition at line 79 of file TensorMechanicsPlasticWeakPlaneShear.h.

Referenced by d2smooth(), dsmooth(), and smooth().

◆ _cap_start

Real TensorMechanicsPlasticWeakPlaneShear::_cap_start

protected

smoothing parameter dictating when the 'cap' will start - see doco for _tip_scheme

Definition at line 76 of file TensorMechanicsPlasticWeakPlaneShear.h.

Referenced by d2smooth(), dsmooth(), and smooth().

◆ _cohesion

const TensorMechanicsHardeningModel& TensorMechanicsPlasticWeakPlaneShear::_cohesion

protected

Hardening model for cohesion.

Definition at line 42 of file TensorMechanicsPlasticWeakPlaneShear.h.

Referenced by cohesion(), and dcohesion().

◆ _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.

◆ _small_smoother2

Real TensorMechanicsPlasticWeakPlaneShear::_small_smoother2

protected

smoothing parameter for the cone's tip - see doco for _tip_scheme

Definition at line 73 of file TensorMechanicsPlasticWeakPlaneShear.h.

Referenced by smooth().

◆ _tan_phi

const TensorMechanicsHardeningModel& TensorMechanicsPlasticWeakPlaneShear::_tan_phi

protected

Hardening model for tan(phi)

Definition at line 45 of file TensorMechanicsPlasticWeakPlaneShear.h.

Referenced by dtan_phi(), and tan_phi().

◆ _tan_psi

const TensorMechanicsHardeningModel& TensorMechanicsPlasticWeakPlaneShear::_tan_psi

protected

Hardening model for tan(psi)

Definition at line 48 of file TensorMechanicsPlasticWeakPlaneShear.h.

Referenced by dtan_psi(), and tan_psi().

◆ _tip_scheme

MooseEnum TensorMechanicsPlasticWeakPlaneShear::_tip_scheme

protected

The yield function is modified to f = sqrt(s_xz^2 + s_yz^2 + a) + s_zz*_tan_phi - _cohesion where "a" depends on the tip_scheme.

Currently _tip_scheme is 'hyperbolic', where a = _small_smoother2 'cap' where a = _small_smoother2 + (p(stress(2,2) - _cap_start))^2 with the function p(x)=x(1-exp(-_cap_rate*x)) for x>0, and p=0 otherwise

Definition at line 70 of file TensorMechanicsPlasticWeakPlaneShear.h.

Referenced by d2smooth(), dsmooth(), and smooth().

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

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

Public Member Functions

Static Public Member Functions

Public Attributes

Protected Member Functions

Protected Attributes

Detailed Description

Constructor & Destructor Documentation

◆ TensorMechanicsPlasticWeakPlaneShear()

Member Function Documentation

◆ activeConstraints()

◆ cohesion()

◆ consistentTangentOperator()

◆ d2smooth()

◆ dcohesion()

◆ df_dsig()

◆ dflowPotential_dintnl()

◆ dflowPotential_dintnlV()

◆ dflowPotential_dstress()

◆ dflowPotential_dstressV()

◆ dhardPotential_dintnl()

◆ dhardPotential_dintnlV()

◆ dhardPotential_dstress()

◆ dhardPotential_dstressV()

◆ dsmooth()

◆ dtan_phi()

◆ dtan_psi()

◆ dyieldFunction_dintnl()

◆ dyieldFunction_dintnlV()

◆ dyieldFunction_dstress()

◆ dyieldFunction_dstressV()

◆ execute()

◆ finalize()

◆ flowPotential()

◆ flowPotentialV()

◆ hardPotential()

◆ hardPotentialV()

◆ initialize()

◆ KuhnTuckerSingleSurface()

◆ modelName()

◆ numberSurfaces()

◆ returnMap()

◆ smooth()

◆ tan_phi()

◆ tan_psi()

◆ useCustomCTO()

◆ useCustomReturnMap()

◆ validParams()

◆ yieldFunction()

◆ yieldFunctionV()

Member Data Documentation

◆ _cap_rate

◆ _cap_start

◆ _cohesion

◆ _f_tol

◆ _ic_tol

◆ _small_smoother2

◆ _tan_phi

◆ _tan_psi

◆ _tip_scheme