Classes
struct	CommonData
	[Common data] More...

struct	Monitor

struct	OpCalculateConstraintsLhs_dEP

struct	OpCalculateConstraintsLhs_dTAU

struct	OpCalculateConstraintsLhs_dU

struct	OpCalculateConstraintsLhs_LogStrain_dU

struct	OpCalculateConstraintsRhs

struct	OpCalculatePlasticFlowLhs_dEP

struct	OpCalculatePlasticFlowLhs_dTAU

struct	OpCalculatePlasticFlowLhs_dU

struct	OpCalculatePlasticFlowLhs_LogStrain_dU

struct	OpCalculatePlasticFlowRhs

struct	OpCalculatePlasticInternalForceLhs_dEP

struct	OpCalculatePlasticInternalForceLhs_LogStrain_dEP

struct	OpCalculatePlasticity

struct	OpCalculatePlasticSurface
	[Operators definitions] More...

struct	OpPlasticStress

Functions
auto	diff_tensor ()
	[Operators definitions] More...

auto	symm_L_tensor ()

auto	diff_symmetrize ()

template<typename T >
double	trace (FTensor::Tensor2_symmetric< T, SPACE_DIM > &t_stress)

template<typename T >
auto	deviator (FTensor::Tensor2_symmetric< T, SPACE_DIM > &t_stress, double trace)

auto	diff_deviator (FTensor::Ddg< double, SPACE_DIM, SPACE_DIM > &&t_diff_stress)

double	platsic_surface (FTensor::Tensor2_symmetric< double, 3 > &&t_stress_deviator)

auto	plastic_flow (long double f, FTensor::Tensor2_symmetric< double, 3 > &&t_dev_stress, FTensor::Ddg< double, 3, SPACE_DIM > &&t_diff_deviator)

template<typename T >
auto	diff_plastic_flow_dstress (long double f, FTensor::Tensor2_symmetric< T, SPACE_DIM > &t_flow, FTensor::Ddg< double, 3, SPACE_DIM > &&t_diff_deviator)

template<typename T >
auto	diff_plastic_flow_dstrain (FTensor::Ddg< T, SPACE_DIM, SPACE_DIM > &t_D, FTensor::Ddg< double, SPACE_DIM, SPACE_DIM > &&t_diff_plastic_flow_dstress)

double	constrain_diff_sign (double x)

double	constrian_sign (double x)

double	constrain_abs (double x)

double	w (double eqiv, double dot_tau, double f, double sigma_y)

double	constrain (double eqiv, double dot_tau, double f, double sigma_y, double abs_w)

double	diff_constrain_ddot_tau (double sign, double eqiv)

double	diff_constrain_equiv (double sign, double dot_tau)

auto	diff_constrain_df (double sign)

auto	diff_constrain_dsigma_y (double sign)

template<typename T >
auto	diff_constrain_dstress (double diff_constrain_df, FTensor::Tensor2_symmetric< T, SPACE_DIM > &t_plastic_flow)

template<typename T1 , typename T2 >
auto	diff_constrain_dstrain (T1 &t_D, T2 &&t_diff_constrain_dstress)

template<typename T >
auto	equivalent_strain_dot (FTensor::Tensor2_symmetric< T, SPACE_DIM > &t_plastic_strain_dot)

template<typename T1 , typename T2 , typename T3 >
auto	diff_equivalent_strain_dot (const T1 eqiv, T2 &t_plastic_strain_dot, T3 &t_diff_plastic_strain)

static auto	get_mat_tensor_sym_dvector (size_t rr, MatrixDouble &mat, FTensor::Number< 2 >)
	[Lambda functions] More...

static auto	get_mat_tensor_sym_dvector (size_t rr, MatrixDouble &mat, FTensor::Number< 3 >)

static auto	get_mat_tensor_sym_dtensor_sym (size_t rr, MatrixDouble &mat, FTensor::Number< 2 >)

static auto	get_mat_tensor_sym_dtensor_sym (size_t rr, MatrixDouble &mat, FTensor::Number< 3 >)

static auto	get_mat_tensor_sym_dscalar (size_t rr, MatrixDouble &mat, FTensor::Number< 2 >)

static auto	get_mat_tensor_sym_dscalar (size_t rr, MatrixDouble &mat, FTensor::Number< 3 >)

auto	get_mat_scalar_dtensor_sym (MatrixDouble &mat, FTensor::Number< 2 >)

auto	get_mat_scalar_dtensor_sym (MatrixDouble &mat, FTensor::Number< 3 >)

static FTensor::Tensor2< FTensor::PackPtr< double *, 3 >, 2, 3 >	get_mat_vector_dtensor_sym (size_t rr, MatrixDouble &mat, FTensor::Number< 2 >)

static FTensor::Tensor2< FTensor::PackPtr< double *, 6 >, 3, 6 >	get_mat_vector_dtensor_sym (size_t rr, MatrixDouble &mat, FTensor::Number< 3 >)

Variables
FTensor::Index< 'i', SPACE_DIM >	i
	[Common data] More...

FTensor::Index< 'j', SPACE_DIM >	j

FTensor::Index< 'k', SPACE_DIM >	k

FTensor::Index< 'l', SPACE_DIM >	l

FTensor::Index< 'm', SPACE_DIM >	m

FTensor::Index< 'n', SPACE_DIM >	n

FTensor::Index< 'o', SPACE_DIM >	o

FTensor::Index< 'p', SPACE_DIM >	p

FTensor::Index< 'I', 3 >	I

FTensor::Index< 'J', 3 >	J

FTensor::Index< 'M', 3 >	M

FTensor::Index< 'N', 3 >	N

FTensor::Index< 'L', size_symm >	L

FTensor::Index< 'O', size_symm >	O

Function Documentation

◆ constrain()

double PlasticOps::constrain	(	double	eqiv,
		double	dot_tau,
		double	f,
		double	sigma_y,
		double	abs_w
	)

inline

\[ \dot{\tau} - \frac{1}{2}\left\{\dot{\tau} + (f(\pmb\sigma) - \sigma_y) + \| \dot{\tau} + (f(\pmb\sigma) - \sigma_y) \|\right\} = 0 \\ c_n \sigma_y \dot{\tau} - \frac{1}{2}\left\{c_n\sigma_y \dot{\tau} + (f(\pmb\sigma) - \sigma_y) + \| c_n \sigma_y \dot{\tau} + (f(\pmb\sigma) - \sigma_y) \|\right\} = 0 \]

Examples: PlasticOps.hpp, and PlasticOpsGeneric.hpp.

Definition at line 528 of file PlasticOps.hpp.

                                      {
  return visH * dot_tau +
         (sigmaY / 2) * ((cn0 * (dot_tau - eqiv) + cn1 * (eqiv * dot_tau) -
                          (f - sigma_y) / sigmaY) -
                         abs_w);
};

◆ constrain_abs()

double PlasticOps::constrain_abs ( double x )

inline

Examples: PlasticOps.hpp, and PlasticOpsGeneric.hpp.

Definition at line 502 of file PlasticOps.hpp.

                                      {
  const auto y = -x / zeta;
  if (y > std::numeric_limits<float>::max_exponent10 ||
      y < std::numeric_limits<float>::min_exponent10) {
    return std::abs(x);
  } else {
    const double e = std::exp(y);
    return x + 2 * zeta * std::log1p(e);
  }
};

◆ constrain_diff_sign()

double PlasticOps::constrain_diff_sign ( double x )

inline

Examples: PlasticOps.hpp.

Definition at line 476 of file PlasticOps.hpp.

                                            {
  const auto y = x / zeta;
  if (y > std::numeric_limits<float>::max_exponent10 ||
      y < std::numeric_limits<float>::min_exponent10) {
    return 0;
  } else {
    const auto e = std::exp(y);
    const auto ep1 = e + 1;
    return (2 / zeta) * (e / (ep1 * ep1));
  }
};

◆ constrian_sign()

double PlasticOps::constrian_sign ( double x )

inline

Examples: PlasticOps.hpp, and PlasticOpsGeneric.hpp.

Definition at line 488 of file PlasticOps.hpp.

                                       {
  const auto y = x / zeta;
  if (y > std::numeric_limits<float>::max_exponent10 ||
      y < std::numeric_limits<float>::min_exponent10) {
    if (x > 0)
      return 1.;
    else
      return -1.;
  } else {
    const auto e = std::exp(y);
    return (e - 1) / (1 + e);
  }
};

◆ deviator()

template<typename T >

auto PlasticOps::deviator	(	FTensor::Tensor2_symmetric< T, SPACE_DIM > &	t_stress,
		double	trace
	)

inline

Examples: PlasticOps.hpp, and PlasticOpsGeneric.hpp.

Definition at line 373 of file PlasticOps.hpp.

                                   {
  FTensor::Tensor2_symmetric<double, 3> t_dev;
  t_dev(I, J) = 0;
  for (int ii = 0; ii != SPACE_DIM; ++ii)
    for (int jj = ii; jj != SPACE_DIM; ++jj)
      t_dev(ii, jj) = t_stress(ii, jj);
  t_dev(0, 0) -= trace;
  t_dev(1, 1) -= trace;
  t_dev(2, 2) -= trace;
  return t_dev;
};

◆ diff_constrain_ddot_tau()

double PlasticOps::diff_constrain_ddot_tau	(	double	sign,
		double	eqiv
	)

inline

Examples: PlasticOps.hpp, and PlasticOpsGeneric.hpp.

Definition at line 536 of file PlasticOps.hpp.

                                                                {
  return visH + (sigmaY / 2) * (cn0 + cn1 * eqiv * (1 - sign));
};

◆ diff_constrain_df()

auto PlasticOps::diff_constrain_df ( double sign )

inline

Examples: PlasticOps.hpp, and PlasticOpsGeneric.hpp.

Definition at line 544 of file PlasticOps.hpp.

544{ return (-1 - sign) / 2; };

◆ diff_constrain_dsigma_y()

auto PlasticOps::diff_constrain_dsigma_y ( double sign )

inline

Examples: PlasticOps.hpp, and PlasticOpsGeneric.hpp.

Definition at line 546 of file PlasticOps.hpp.

546{ return (1 + sign) / 2; }

◆ diff_constrain_dstrain()

template<typename T1 , typename T2 >

auto PlasticOps::diff_constrain_dstrain	(	T1 &	t_D,
		T2 &&	t_diff_constrain_dstress
	)

inline

Examples: PlasticOps.hpp.

Definition at line 558 of file PlasticOps.hpp.

                                                                           {
  FTensor::Tensor2_symmetric<double, SPACE_DIM> t_diff_constrain_dstrain;
  t_diff_constrain_dstrain(k, l) =
      t_diff_constrain_dstress(i, j) * t_D(i, j, k, l);
  return t_diff_constrain_dstrain;
};

◆ diff_constrain_dstress()

template<typename T >

auto PlasticOps::diff_constrain_dstress	(	double	diff_constrain_df,
		FTensor::Tensor2_symmetric< T, SPACE_DIM > &	t_plastic_flow
	)

inline

Examples: PlasticOps.hpp.

Definition at line 549 of file PlasticOps.hpp.

                                                            {
  FTensor::Tensor2_symmetric<double, SPACE_DIM> t_diff_constrain_dstress;
  t_diff_constrain_dstress(i, j) = diff_constrain_df * t_plastic_flow(i, j);
  return t_diff_constrain_dstress;
};

◆ diff_constrain_equiv()

double PlasticOps::diff_constrain_equiv	(	double	sign,
		double	dot_tau
	)

inline

Examples: PlasticOps.hpp, and PlasticOpsGeneric.hpp.

Definition at line 540 of file PlasticOps.hpp.

                                                                {
  return (sigmaY / 2) * (-cn0 + cn1 * dot_tau * (1 - sign));
};

◆ diff_deviator()

auto PlasticOps::diff_deviator ( FTensor::Ddg< double, SPACE_DIM, SPACE_DIM > && t_diff_stress )

inline

Examples: PlasticOps.hpp, and PlasticOpsGeneric.hpp.

Definition at line 387 of file PlasticOps.hpp.

                                                                        {
  FTensor::Ddg<double, 3, SPACE_DIM> t_diff_deviator;
  t_diff_deviator(I, J, k, l) = 0;
  for (int ii = 0; ii != SPACE_DIM; ++ii)
    for (int jj = ii; jj != SPACE_DIM; ++jj)
      for (int kk = 0; kk != SPACE_DIM; ++kk)
        for (int ll = kk; ll != SPACE_DIM; ++ll)
          t_diff_deviator(ii, jj, kk, ll) = t_diff_stress(ii, jj, kk, ll);
 
  constexpr double third = boost::math::constants::third<double>();
 
  t_diff_deviator(0, 0, 0, 0) -= third;
  t_diff_deviator(0, 0, 1, 1) -= third;
 
  t_diff_deviator(1, 1, 0, 0) -= third;
  t_diff_deviator(1, 1, 1, 1) -= third;
 
  t_diff_deviator(2, 2, 0, 0) -= third;
  t_diff_deviator(2, 2, 1, 1) -= third;
 
  if constexpr (SPACE_DIM == 3) {
    t_diff_deviator(0, 0, 2, 2) -= third;
    t_diff_deviator(1, 1, 2, 2) -= third;
    t_diff_deviator(2, 2, 2, 2) -= third;
  }
 
  return t_diff_deviator;
};

◆ diff_equivalent_strain_dot()

template<typename T1 , typename T2 , typename T3 >

auto PlasticOps::diff_equivalent_strain_dot	(	const T1	eqiv,
		T2 &	t_plastic_strain_dot,
		T3 &	t_diff_plastic_strain
	)

inline

Examples: PlasticOps.hpp, and PlasticOpsGeneric.hpp.

Definition at line 575 of file PlasticOps.hpp.

                                                                  {
  constexpr double A = 2. / 3;
  FTensor::Tensor2_symmetric<double, SPACE_DIM> t_diff_eqiv;
  t_diff_eqiv(i, j) = A * (t_plastic_strain_dot(k, l) / eqiv) *
                      t_diff_plastic_strain(k, l, i, j);
  return t_diff_eqiv;
};

◆ diff_plastic_flow_dstrain()

template<typename T >

auto PlasticOps::diff_plastic_flow_dstrain	(	FTensor::Ddg< T, SPACE_DIM, SPACE_DIM > &	t_D,
		FTensor::Ddg< double, SPACE_DIM, SPACE_DIM > &&	t_diff_plastic_flow_dstress
	)

inline

Examples: PlasticOps.hpp.

Definition at line 467 of file PlasticOps.hpp.

                                                                            {
  FTensor::Ddg<double, SPACE_DIM, SPACE_DIM> t_diff_flow;
  t_diff_flow(i, j, k, l) =
      t_diff_plastic_flow_dstress(i, j, m, n) * t_D(m, n, k, l);
  return t_diff_flow;
};

◆ diff_plastic_flow_dstress()

template<typename T >

auto PlasticOps::diff_plastic_flow_dstress	(	long double	f,
		FTensor::Tensor2_symmetric< T, SPACE_DIM > &	t_flow,
		FTensor::Ddg< double, 3, SPACE_DIM > &&	t_diff_deviator
	)

inline

Examples: PlasticOps.hpp.

Definition at line 455 of file PlasticOps.hpp.

                                                        {
  FTensor::Ddg<double, SPACE_DIM, SPACE_DIM> t_diff_flow;
  t_diff_flow(i, j, k, l) =
      (1.5 * (t_diff_deviator(M, N, i, j) * t_diff_deviator(M, N, k, l) -
              (2. / 3.) * t_flow(i, j) * t_flow(k, l))) /
      f;
  return t_diff_flow;
};

◆ diff_symmetrize()

auto PlasticOps::diff_symmetrize ( )

inline

Examples: PlasticOps.hpp, PlasticOpsLargeStrains.hpp, and PlasticOpsSmallStrains.hpp.

Definition at line 333 of file PlasticOps.hpp.

                              {
  FTensor::Tensor4<double, SPACE_DIM, SPACE_DIM, SPACE_DIM, SPACE_DIM> t_diff;
 
  t_diff(i, j, k, l) = 0;
  t_diff(0, 0, 0, 0) = 1;
  t_diff(1, 1, 1, 1) = 1;
 
  t_diff(1, 0, 1, 0) = 0.5;
  t_diff(1, 0, 0, 1) = 0.5;
 
  t_diff(0, 1, 0, 1) = 0.5;
  t_diff(0, 1, 1, 0) = 0.5;
 
  if constexpr (SPACE_DIM == 3) {
    t_diff(2, 2, 2, 2) = 1;
 
    t_diff(2, 0, 2, 0) = 0.5;
    t_diff(2, 0, 0, 2) = 0.5;
    t_diff(0, 2, 0, 2) = 0.5;
    t_diff(0, 2, 2, 0) = 0.5;
 
    t_diff(2, 1, 2, 1) = 0.5;
    t_diff(2, 1, 1, 2) = 0.5;
    t_diff(1, 2, 1, 2) = 0.5;
    t_diff(1, 2, 2, 1) = 0.5;
  }
 
  return t_diff;
};

◆ diff_tensor()

auto PlasticOps::diff_tensor ( )

inline

[Operators definitions]

[Lambda functions]

Examples: PlasticOps.hpp, and PlasticOpsGeneric.hpp.

Definition at line 308 of file PlasticOps.hpp.

                          {
  FTensor::Ddg<double, SPACE_DIM, SPACE_DIM> t_diff;
  constexpr auto t_kd = FTensor::Kronecker_Delta_symmetric<int>();
  t_diff(i, j, k, l) = (t_kd(i, k) ^ t_kd(j, l)) / 4.;
  return t_diff;
};

◆ equivalent_strain_dot()

template<typename T >

auto PlasticOps::equivalent_strain_dot ( FTensor::Tensor2_symmetric< T, SPACE_DIM > & t_plastic_strain_dot )

inline

Examples: PlasticOps.hpp, and PlasticOpsGeneric.hpp.

Definition at line 566 of file PlasticOps.hpp.

                                                                  {
  constexpr double A = 2. / 3;
  return std::sqrt(A * t_plastic_strain_dot(i, j) *
                   t_plastic_strain_dot(i, j)) +
         std::numeric_limits<double>::epsilon();
};

◆ get_mat_scalar_dtensor_sym() [1/2]

auto PlasticOps::get_mat_scalar_dtensor_sym	(	MatrixDouble &	mat,
		FTensor::Number< 2 >
	)

Examples: PlasticOpsGeneric.hpp.

Definition at line 562 of file PlasticOpsGeneric.hpp.

                                                                     {
  return FTensor::Tensor1<FTensor::PackPtr<double *, 3>, 3>{
      &mat(0, 0), &mat(0, 1), &mat(0, 2)};
}

◆ get_mat_scalar_dtensor_sym() [2/2]

auto PlasticOps::get_mat_scalar_dtensor_sym	(	MatrixDouble &	mat,
		FTensor::Number< 3 >
	)

Definition at line 567 of file PlasticOpsGeneric.hpp.

                                                                     {
  return FTensor::Tensor1<FTensor::PackPtr<double *, 6>, 6>{
      &mat(0, 0), &mat(0, 1), &mat(0, 2), &mat(0, 3), &mat(0, 4), &mat(0, 5)};
}

◆ get_mat_tensor_sym_dscalar() [1/2]

static auto PlasticOps::get_mat_tensor_sym_dscalar	(	size_t	rr,
		MatrixDouble &	mat,
		FTensor::Number< 2 >
	)

inlinestatic

Examples: PlasticOpsGeneric.hpp.

Definition at line 492 of file PlasticOpsGeneric.hpp.

                                                                {
  return FTensor::Tensor1<FTensor::PackPtr<double *, 1>, 3>{
      &mat(3 * rr + 0, 0), &mat(3 * rr + 1, 0), &mat(3 * rr + 2, 0)};
}

◆ get_mat_tensor_sym_dscalar() [2/2]

static auto PlasticOps::get_mat_tensor_sym_dscalar	(	size_t	rr,
		MatrixDouble &	mat,
		FTensor::Number< 3 >
	)

inlinestatic

Definition at line 498 of file PlasticOpsGeneric.hpp.

                                                                {
  return FTensor::Tensor1<FTensor::PackPtr<double *, 1>, 6>{
      &mat(6 * rr + 0, 0), &mat(6 * rr + 1, 0), &mat(6 * rr + 2, 0),
      &mat(6 * rr + 3, 0), &mat(6 * rr + 4, 0), &mat(6 * rr + 5, 0)};
}

◆ get_mat_tensor_sym_dtensor_sym() [1/2]

static auto PlasticOps::get_mat_tensor_sym_dtensor_sym	(	size_t	rr,
		MatrixDouble &	mat,
		FTensor::Number< 2 >
	)

inlinestatic

Examples: PlasticOpsGeneric.hpp.

Definition at line 402 of file PlasticOpsGeneric.hpp.

                                                                    {
  return FTensor::Tensor2<FTensor::PackPtr<double *, 3>, 3, 3>{
      &mat(3 * rr + 0, 0), &mat(3 * rr + 0, 1), &mat(3 * rr + 0, 2),
      &mat(3 * rr + 1, 0), &mat(3 * rr + 1, 1), &mat(3 * rr + 1, 2),
      &mat(3 * rr + 2, 0), &mat(3 * rr + 2, 1), &mat(3 * rr + 2, 2)};
}

◆ get_mat_tensor_sym_dtensor_sym() [2/2]

static auto PlasticOps::get_mat_tensor_sym_dtensor_sym	(	size_t	rr,
		MatrixDouble &	mat,
		FTensor::Number< 3 >
	)

inlinestatic

Definition at line 410 of file PlasticOpsGeneric.hpp.

                                                                    {
  return FTensor::Tensor2<FTensor::PackPtr<double *, 6>, 6, 6>{
      &mat(6 * rr + 0, 0), &mat(6 * rr + 0, 1), &mat(6 * rr + 0, 2),
      &mat(6 * rr + 0, 3), &mat(6 * rr + 0, 4), &mat(6 * rr + 0, 5),
      &mat(6 * rr + 1, 0), &mat(6 * rr + 1, 1), &mat(6 * rr + 1, 2),
      &mat(6 * rr + 1, 3), &mat(6 * rr + 1, 4), &mat(6 * rr + 1, 5),
      &mat(6 * rr + 2, 0), &mat(6 * rr + 2, 1), &mat(6 * rr + 2, 2),
      &mat(6 * rr + 2, 3), &mat(6 * rr + 2, 4), &mat(6 * rr + 2, 5),
      &mat(6 * rr + 3, 0), &mat(6 * rr + 3, 1), &mat(6 * rr + 3, 2),
      &mat(6 * rr + 3, 3), &mat(6 * rr + 3, 4), &mat(6 * rr + 3, 5),
      &mat(6 * rr + 4, 0), &mat(6 * rr + 4, 1), &mat(6 * rr + 4, 2),
      &mat(6 * rr + 4, 3), &mat(6 * rr + 4, 4), &mat(6 * rr + 4, 5),
      &mat(6 * rr + 5, 0), &mat(6 * rr + 5, 1), &mat(6 * rr + 5, 2),
      &mat(6 * rr + 5, 3), &mat(6 * rr + 5, 4), &mat(6 * rr + 5, 5)};
}

◆ get_mat_tensor_sym_dvector() [1/2]

static auto PlasticOps::get_mat_tensor_sym_dvector	(	size_t	rr,
		MatrixDouble &	mat,
		FTensor::Number< 2 >
	)

inlinestatic

[Lambda functions]

[Auxiliary functions functions

Examples: PlasticOps.hpp, PlasticOpsLargeStrains.hpp, and PlasticOpsSmallStrains.hpp.

Definition at line 587 of file PlasticOps.hpp.

                                                                {
  return FTensor::Tensor2<FTensor::PackPtr<double *, 2>, 3, 2>{
      &mat(3 * rr + 0, 0), &mat(3 * rr + 0, 1), &mat(3 * rr + 1, 0),
      &mat(3 * rr + 1, 1), &mat(3 * rr + 2, 0), &mat(3 * rr + 2, 1)};
}

◆ get_mat_tensor_sym_dvector() [2/2]

static auto PlasticOps::get_mat_tensor_sym_dvector	(	size_t	rr,
		MatrixDouble &	mat,
		FTensor::Number< 3 >
	)

inlinestatic

Definition at line 594 of file PlasticOps.hpp.

                                                                {
  return FTensor::Tensor2<FTensor::PackPtr<double *, 3>, 6, 3>{
      &mat(6 * rr + 0, 0), &mat(6 * rr + 0, 1), &mat(6 * rr + 0, 2),
      &mat(6 * rr + 1, 0), &mat(6 * rr + 1, 1), &mat(6 * rr + 1, 2),
      &mat(6 * rr + 2, 0), &mat(6 * rr + 2, 1), &mat(6 * rr + 2, 2),
      &mat(6 * rr + 3, 0), &mat(6 * rr + 3, 1), &mat(6 * rr + 3, 2),
      &mat(6 * rr + 4, 0), &mat(6 * rr + 4, 1), &mat(6 * rr + 4, 2),
      &mat(6 * rr + 5, 0), &mat(6 * rr + 5, 1), &mat(6 * rr + 5, 2)};
}

◆ get_mat_vector_dtensor_sym() [1/2]

static FTensor::Tensor2< FTensor::PackPtr< double *, 3 >, 2, 3 > PlasticOps::get_mat_vector_dtensor_sym	(	size_t	rr,
		MatrixDouble &	mat,
		FTensor::Number< 2 >
	)

inlinestatic

Examples: PlasticOpsLargeStrains.hpp, and PlasticOpsSmallStrains.hpp.

Definition at line 20 of file PlasticOpsSmallStrains.hpp.

                                                                           {
  return FTensor::Tensor2<FTensor::PackPtr<double *, 3>, 2, 3>{
      &mat(2 * rr + 0, 0), &mat(2 * rr + 0, 1), &mat(2 * rr + 0, 2),
      &mat(2 * rr + 1, 0), &mat(2 * rr + 1, 1), &mat(2 * rr + 1, 2)};
}

◆ get_mat_vector_dtensor_sym() [2/2]

static FTensor::Tensor2< FTensor::PackPtr< double *, 6 >, 3, 6 > PlasticOps::get_mat_vector_dtensor_sym	(	size_t	rr,
		MatrixDouble &	mat,
		FTensor::Number< 3 >
	)

inlinestatic

Definition at line 27 of file PlasticOpsSmallStrains.hpp.

                                                                           {
  return FTensor::Tensor2<FTensor::PackPtr<double *, 6>, 3, 6>{
      &mat(3 * rr + 0, 0), &mat(3 * rr + 0, 1), &mat(3 * rr + 0, 2),
      &mat(3 * rr + 0, 3), &mat(3 * rr + 0, 4), &mat(3 * rr + 0, 5),
 
      &mat(3 * rr + 1, 0), &mat(3 * rr + 1, 1), &mat(3 * rr + 1, 2),
      &mat(3 * rr + 1, 3), &mat(3 * rr + 1, 4), &mat(3 * rr + 1, 5),
 
      &mat(3 * rr + 2, 0), &mat(3 * rr + 2, 1), &mat(3 * rr + 2, 2),
      &mat(3 * rr + 2, 3), &mat(3 * rr + 2, 4), &mat(3 * rr + 2, 5)};
}

◆ plastic_flow()

auto PlasticOps::plastic_flow	(	long double	f,
		FTensor::Tensor2_symmetric< double, 3 > &&	t_dev_stress,
		FTensor::Ddg< double, 3, SPACE_DIM > &&	t_diff_deviator
	)

inline

Examples: PlasticOps.hpp, and PlasticOpsGeneric.hpp.

Definition at line 445 of file PlasticOps.hpp.

                                                                             {
  FTensor::Tensor2_symmetric<double, SPACE_DIM> t_diff_f;
  t_diff_f(k, l) =
      (1.5 * (t_dev_stress(I, J) * t_diff_deviator(I, J, k, l))) / f;
  return t_diff_f;
};

◆ platsic_surface()

double PlasticOps::platsic_surface ( FTensor::Tensor2_symmetric< double, 3 > && t_stress_deviator )

inline

\[ \begin{split} f&=\sqrt{s_{ij}s_{ij}}\\ A_{ij}&=\frac{\partial f}{\partial \sigma_{ij}}= \frac{1}{f} s_{kl} \frac{\partial s_{kl}}{\partial \sigma_{ij}}\\ \frac{\partial A_{ij}}{\partial \sigma_{kl}}&= \frac{\partial^2 f}{\partial \sigma_{ij}\partial\sigma_{mn}}= \frac{1}{f} \left( \frac{\partial s_{kl}}{\partial \sigma_{mn}}\frac{\partial s_{kl}}{\partial \sigma_{ij}} -A_{mn}A_{ij} \right)\\ \frac{\partial f}{\partial \varepsilon_{ij}}&=A_{mn}D_{mnij} \\ \frac{\partial A_{ij}}{\partial \varepsilon_{kl}}&= \frac{\partial A_{ij}}{\partial \sigma_{mn}} \frac{\partial \sigma_{mn}}{\partial \varepsilon_{kl}}= \frac{\partial A_{ij}}{\partial \sigma_{mn}} D_{mnkl} \end{split} \]

Examples: PlasticOps.hpp, and PlasticOpsGeneric.hpp.

Definition at line 440 of file PlasticOps.hpp.

                                                                         {
  return std::sqrt(1.5 * t_stress_deviator(I, J) * t_stress_deviator(I, J)) +
         std::numeric_limits<double>::epsilon();
};

◆ symm_L_tensor()

auto PlasticOps::symm_L_tensor ( )

inline

Examples: PlasticOps.hpp, PlasticOpsGeneric.hpp, PlasticOpsLargeStrains.hpp, and PlasticOpsSmallStrains.hpp.

Definition at line 315 of file PlasticOps.hpp.

                            {
  FTensor::Dg<double, SPACE_DIM, size_symm> t_L;
  t_L(i, j, L) = 0;
  if constexpr (SPACE_DIM == 2) {
    t_L(0, 0, 0) = 1;
    t_L(1, 0, 1) = 1;
    t_L(1, 1, 2) = 1;
  } else {
    t_L(0, 0, 0) = 1;
    t_L(1, 0, 1) = 1;
    t_L(2, 0, 2) = 1;
    t_L(1, 1, 3) = 1;
    t_L(2, 1, 4) = 1;
    t_L(2, 2, 5) = 1;
  }
  return t_L;
}

◆ trace()

template<typename T >

double PlasticOps::trace ( FTensor::Tensor2_symmetric< T, SPACE_DIM > & t_stress )

inline

Examples: PlasticOps.hpp, and PlasticOpsGeneric.hpp.

Definition at line 364 of file PlasticOps.hpp.

                                                                      {
  constexpr double third = boost::math::constants::third<double>();
  if constexpr (SPACE_DIM == 2)
    return (t_stress(0, 0) + t_stress(1, 1)) * third;
  else
    return (t_stress(0, 0) + t_stress(1, 1) + t_stress(2, 2)) * third;
};

◆ w()

double PlasticOps::w	(	double	eqiv,
		double	dot_tau,
		double	f,
		double	sigma_y
	)

inline

Examples: PlasticOps.hpp, and PlasticOpsGeneric.hpp.

Definition at line 513 of file PlasticOps.hpp.

                                                                       {
  return (f - sigma_y) / sigmaY + cn1 * (dot_tau * eqiv);
};

Variable Documentation

◆ i

FTensor::Index<'i', SPACE_DIM> PlasticOps::i

[Common data]

Examples: PlasticOps.hpp, PlasticOpsGeneric.hpp, PlasticOpsLargeStrains.hpp, and PlasticOpsSmallStrains.hpp.

Definition at line 92 of file PlasticOps.hpp.

◆ I

FTensor::Index<'I', 3> PlasticOps::I

Examples: PlasticOps.hpp, and PlasticOpsGeneric.hpp.

Definition at line 101 of file PlasticOps.hpp.

◆ j

FTensor::Index<'j', SPACE_DIM> PlasticOps::j

Examples: PlasticOps.hpp, PlasticOpsGeneric.hpp, PlasticOpsLargeStrains.hpp, and PlasticOpsSmallStrains.hpp.

Definition at line 93 of file PlasticOps.hpp.

◆ J

FTensor::Index<'J', 3> PlasticOps::J

Examples: PlasticOps.hpp, and PlasticOpsGeneric.hpp.

Definition at line 102 of file PlasticOps.hpp.

◆ k

FTensor::Index<'k', SPACE_DIM> PlasticOps::k

Examples: PlasticOps.hpp, PlasticOpsGeneric.hpp, PlasticOpsLargeStrains.hpp, and PlasticOpsSmallStrains.hpp.

Definition at line 94 of file PlasticOps.hpp.

◆ l

FTensor::Index<'l', SPACE_DIM> PlasticOps::l

Examples: PlasticOps.hpp, PlasticOpsGeneric.hpp, PlasticOpsLargeStrains.hpp, and PlasticOpsSmallStrains.hpp.

Definition at line 95 of file PlasticOps.hpp.

◆ L

FTensor::Index<'L', size_symm> PlasticOps::L

Examples: PlasticOps.hpp, PlasticOpsGeneric.hpp, PlasticOpsLargeStrains.hpp, and PlasticOpsSmallStrains.hpp.

Definition at line 106 of file PlasticOps.hpp.

◆ m

FTensor::Index<'m', SPACE_DIM> PlasticOps::m

Examples: PlasticOps.hpp, PlasticOpsGeneric.hpp, PlasticOpsLargeStrains.hpp, and PlasticOpsSmallStrains.hpp.

Definition at line 96 of file PlasticOps.hpp.

◆ M

FTensor::Index<'M', 3> PlasticOps::M

Examples: PlasticOps.hpp, and PlasticOpsGeneric.hpp.

Definition at line 103 of file PlasticOps.hpp.

◆ n

FTensor::Index<'n', SPACE_DIM> PlasticOps::n

Examples: PlasticOps.hpp, PlasticOpsGeneric.hpp, PlasticOpsLargeStrains.hpp, and PlasticOpsSmallStrains.hpp.

Definition at line 97 of file PlasticOps.hpp.

◆ N

FTensor::Index<'N', 3> PlasticOps::N

Examples: PlasticOps.hpp, and PlasticOpsGeneric.hpp.

Definition at line 104 of file PlasticOps.hpp.

◆ o

FTensor::Index<'o', SPACE_DIM> PlasticOps::o

Examples: PlasticOps.hpp.

Definition at line 98 of file PlasticOps.hpp.

◆ O

FTensor::Index<'O', size_symm> PlasticOps::O

Examples: PlasticOps.hpp, and PlasticOpsGeneric.hpp.

Definition at line 107 of file PlasticOps.hpp.

◆ p

FTensor::Index<'p', SPACE_DIM> PlasticOps::p

Examples: PlasticOps.hpp.

Definition at line 99 of file PlasticOps.hpp.

Classes

Functions

Variables

Function Documentation

◆ constrain()

◆ constrain_abs()

◆ constrain_diff_sign()

◆ constrian_sign()

◆ deviator()

◆ diff_constrain_ddot_tau()

◆ diff_constrain_df()

◆ diff_constrain_dsigma_y()

◆ diff_constrain_dstrain()

◆ diff_constrain_dstress()

◆ diff_constrain_equiv()

◆ diff_deviator()

◆ diff_equivalent_strain_dot()

◆ diff_plastic_flow_dstrain()

◆ diff_plastic_flow_dstress()

◆ diff_symmetrize()

◆ diff_tensor()

◆ equivalent_strain_dot()

◆ get_mat_scalar_dtensor_sym() [1/2]

◆ get_mat_scalar_dtensor_sym() [2/2]

◆ get_mat_tensor_sym_dscalar() [1/2]

◆ get_mat_tensor_sym_dscalar() [2/2]

◆ get_mat_tensor_sym_dtensor_sym() [1/2]

◆ get_mat_tensor_sym_dtensor_sym() [2/2]

◆ get_mat_tensor_sym_dvector() [1/2]

◆ get_mat_tensor_sym_dvector() [2/2]

◆ get_mat_vector_dtensor_sym() [1/2]

◆ get_mat_vector_dtensor_sym() [2/2]

◆ plastic_flow()

◆ platsic_surface()

◆ symm_L_tensor()

◆ trace()

◆ w()

Variable Documentation

◆ i

◆ I

◆ j

◆ J

◆ k

◆ l

◆ L

◆ m

◆ M

◆ n

◆ N

◆ o

◆ O

◆ p