thermal_drucker_prager_yield_surface.h

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// KRATOS  ___|  |                   |                   |
//       \___ \  __|  __| |   |  __| __| |   |  __| _` | |
//             | |   |    |   | (    |   |   | |   (   | |
//       _____/ \__|_|   \__,_|\___|\__|\__,_|_|  \__,_|_| MECHANICS
//
//  License:         BSD License
//                   license: structural_mechanics_application/license.txt
//
//  Main authors:    Alejandro Cornejo
//
 
#pragma once
 
// System includes
 
// Project includes
#include "custom_constitutive/auxiliary_files/yield_surfaces/drucker_prager_yield_surface.h"
 
namespace Kratos
{
 
 
 
 
 
template<class TPlasticPotentialType>
class ThermalDruckerPragerYieldSurface
{
public:
 
    using PlasticPotentialType = TPlasticPotentialType;
 
    using BaseType = DruckerPragerYieldSurface<TPlasticPotentialType>;
 
    static constexpr SizeType Dimension = PlasticPotentialType::Dimension;
 
    static constexpr SizeType VoigtSize = PlasticPotentialType::VoigtSize;
 
    KRATOS_CLASS_POINTER_DEFINITION(ThermalDruckerPragerYieldSurface);
 
    static constexpr double tolerance = std::numeric_limits<double>::epsilon();
 
    using AdvCLutils = AdvancedConstitutiveLawUtilities<VoigtSize>;
 
 
    ThermalDruckerPragerYieldSurface()
    {
    }
 
    ThermalDruckerPragerYieldSurface(ThermalDruckerPragerYieldSurface const &rOther)
    {
    }
 
    ThermalDruckerPragerYieldSurface &operator=(ThermalDruckerPragerYieldSurface const &rOther)
    {
        return *this;
    }
 
    virtual ~ThermalDruckerPragerYieldSurface(){};
 
 
    static void CalculateEquivalentStress(
        array_1d<double, VoigtSize>& rStressVector,
        const Vector& rStrainVector,
        double& rEquivalentStress,
        ConstitutiveLaw::Parameters& rValues
        )
    {
 
        double friction_angle = AdvCLutils::GetMaterialPropertyThroughAccessor(FRICTION_ANGLE, rValues) * Globals::Pi / 180.0; // In radians!
        const double sin_phi = std::sin(friction_angle);
        const double root_3 = std::sqrt(3.0);
 
        // Check input variables
        if (friction_angle < tolerance) {
            friction_angle = 32.0 * Globals::Pi / 180.0;
            KRATOS_WARNING("DruckerPragerYieldSurface") << "Friction Angle not defined, assumed equal to 32 " << std::endl;
        }
 
        double I1, J2;
        AdvCLutils::CalculateI1Invariant(rStressVector, I1);
        array_1d<double, VoigtSize> deviator;
        AdvCLutils::CalculateJ2Invariant(rStressVector, I1, deviator, J2);
 
 
        const double CFL = -root_3 * (3.0 - sin_phi) / (3.0 * sin_phi - 3.0);
        const double TEN0 = 2.0 * I1 * sin_phi / (root_3 * (3.0 - sin_phi)) + std::sqrt(J2);
        rEquivalentStress = (CFL * TEN0);
    }
 
    static void GetInitialUniaxialThreshold(
        ConstitutiveLaw::Parameters& rValues,
        double& rThreshold
        )
    {
        const auto& r_material_properties = rValues.GetMaterialProperties();
 
        double yield_tension, friction_angle;
        if (rValues.IsSetShapeFunctionsValues()) { // This is needed since at Initialize level the N are not set yet...
            yield_tension = r_material_properties.Has(YIELD_STRESS) ? AdvCLutils::GetMaterialPropertyThroughAccessor(YIELD_STRESS, rValues) : AdvCLutils::GetMaterialPropertyThroughAccessor(YIELD_STRESS_TENSION, rValues);
            friction_angle = AdvCLutils::GetMaterialPropertyThroughAccessor(FRICTION_ANGLE, rValues) * Globals::Pi / 180.0;
        } else {
            const double ref_temperature = r_material_properties.Has(REFERENCE_TEMPERATURE) ? r_material_properties[REFERENCE_TEMPERATURE] : rValues.GetElementGeometry().GetValue(REFERENCE_TEMPERATURE);
            yield_tension = r_material_properties.Has(YIELD_STRESS) ? AdvCLutils::GetPropertyFromTemperatureTable(YIELD_STRESS, rValues, ref_temperature) : AdvCLutils::GetPropertyFromTemperatureTable(YIELD_STRESS_TENSION, rValues, ref_temperature);
            friction_angle = AdvCLutils::GetPropertyFromTemperatureTable(FRICTION_ANGLE, rValues, ref_temperature) * Globals::Pi / 180.0;
        }
        const double sin_phi = std::sin(friction_angle);
        rThreshold = std::abs(yield_tension * (3.0 + sin_phi) / (3.0 * sin_phi - 3.0));
    }
 
    static void CalculateDamageParameter(
        ConstitutiveLaw::Parameters& rValues,
        double& rAParameter,
        const double CharacteristicLength
        )
    {
        const auto& r_material_properties = rValues.GetMaterialProperties();
 
        const auto &r_geom = rValues.GetElementGeometry();
        const auto &r_N = rValues.GetShapeFunctionsValues();
        const auto &r_process_info = rValues.GetProcessInfo();
 
        const double fracture_energy = r_material_properties.GetValue(FRACTURE_ENERGY, r_geom, r_N, r_process_info);
        const double young_modulus   = r_material_properties.GetValue(YOUNG_MODULUS, r_geom, r_N, r_process_info);
        const bool has_symmetric_yield_stress = r_material_properties.Has(YIELD_STRESS);
 
        const double yield_compression = has_symmetric_yield_stress ? r_material_properties.GetValue(YIELD_STRESS, r_geom, r_N, r_process_info) : r_material_properties.GetValue(YIELD_STRESS_COMPRESSION, r_geom, r_N, r_process_info);
        const double yield_tension     = has_symmetric_yield_stress ? r_material_properties.GetValue(YIELD_STRESS, r_geom, r_N, r_process_info) : r_material_properties.GetValue(YIELD_STRESS_TENSION, r_geom, r_N, r_process_info);
        const double n = yield_compression / yield_tension;
 
        if (r_material_properties[SOFTENING_TYPE] == static_cast<int>(SofteningType::Exponential)) {
            rAParameter = 1.00 / (fracture_energy * n * n * young_modulus / (CharacteristicLength * std::pow(yield_compression, 2)) - 0.5);
            KRATOS_ERROR_IF(rAParameter < 0.0) << "Fracture energy is too low, increase FRACTURE_ENERGY..." << std::endl;
        } else if (r_material_properties[SOFTENING_TYPE] == static_cast<int>(SofteningType::Linear)) { // linear
            rAParameter = -std::pow(yield_compression, 2) / (2.0 * young_modulus * fracture_energy * n * n / CharacteristicLength);
        }
    }
 
    static void CalculatePlasticPotentialDerivative(
        const array_1d<double, VoigtSize>& rPredictiveStressVector,
        const array_1d<double, VoigtSize>& rDeviator,
        const double J2,
        array_1d<double, VoigtSize>& rGFlux,
        ConstitutiveLaw::Parameters& rValues
        )
    {
        TPlasticPotentialType::CalculatePlasticPotentialDerivative(rPredictiveStressVector, rDeviator, J2, rGFlux, rValues);
    }
 
    static void CalculateYieldSurfaceDerivative(
        const array_1d<double, VoigtSize>& rPredictiveStressVector,
        const array_1d<double, VoigtSize>& rDeviator,
        const double J2,
        array_1d<double, VoigtSize>& rFFlux,
        ConstitutiveLaw::Parameters& rValues
        )
    {
        array_1d<double, VoigtSize> first_vector, second_vector, third_vector;
        AdvancedConstitutiveLawUtilities<VoigtSize>::CalculateFirstVector(first_vector);
        AdvancedConstitutiveLawUtilities<VoigtSize>::CalculateSecondVector(rDeviator, J2, second_vector);
 
        const double friction_angle = AdvCLutils::GetMaterialPropertyThroughAccessor(FRICTION_ANGLE, rValues) * Globals::Pi / 180.0;;
        const double sin_phi = std::sin(friction_angle);
        const double Root3 = std::sqrt(3.0);
 
        const double CFL = -Root3 * (3.0 - sin_phi) / (3.0 * sin_phi - 3.0);
        const double c1 = CFL * 2.0 * sin_phi / (Root3 * (3.0 - sin_phi));
        const double c2 = CFL;
 
        noalias(rFFlux) = c1 * first_vector + c2 * second_vector;
    }
 
    static int Check(const Properties& rMaterialProperties)
    {
        return BaseType::Check(rMaterialProperties);
    }
 
    static bool IsWorkingWithTensionThreshold()
    {
        return BaseType::IsWorkingWithTensionThreshold();
    }
 
    static double GetScaleFactorTension(const Properties& rMaterialProperties)
    {
        return BaseType::GetScaleFactorTension();
    }
 
 
 
 
 
 
protected:
 
 
 
 
 
 
 
private:
 
 
 
 
 
 
 
 
}; // Class DruckerPragerYieldSurface
 
 
 
 
 
} // namespace Kratos.