drucker_prager_yield_surface.h

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// KRATOS  ___|  |                   |                   |
//       \___ \  __|  __| |   |  __| __| |   |  __| _` | |
//             | |   |    |   | (    |   |   | |   (   | |
//       _____/ \__|_|   \__,_|\___|\__|\__,_|_|  \__,_|_| MECHANICS
//
//  License:         BSD License
//                   license: structural_mechanics_application/license.txt
//
//  Main authors:    Alejandro Cornejo & Lucia Barbu
//
 
#pragma once
 
// System includes
 
// Project includes
#include "includes/checks.h"
#include "generic_yield_surface.h"
 
namespace Kratos
{
 
 
    // The size type definition
    typedef std::size_t SizeType;
 
 
 
 
template<class TPlasticPotentialType>
class DruckerPragerYieldSurface
{
public:
 
    typedef TPlasticPotentialType PlasticPotentialType;
 
    static constexpr SizeType Dimension = PlasticPotentialType::Dimension;
 
    static constexpr SizeType VoigtSize = PlasticPotentialType::VoigtSize;
 
    KRATOS_CLASS_POINTER_DEFINITION(DruckerPragerYieldSurface);
 
    static constexpr double tolerance = std::numeric_limits<double>::epsilon();
 
 
    DruckerPragerYieldSurface()
    {
    }
 
    DruckerPragerYieldSurface(DruckerPragerYieldSurface const &rOther)
    {
    }
 
    DruckerPragerYieldSurface &operator=(DruckerPragerYieldSurface const &rOther)
    {
        return *this;
    }
 
    virtual ~DruckerPragerYieldSurface(){};
 
 
    static void CalculateEquivalentStress(
        array_1d<double, VoigtSize>& rPredictiveStressVector,
        const Vector& rStrainVector,
        double& rEquivalentStress,
        ConstitutiveLaw::Parameters& rValues
        )
    {
        const Properties& r_material_properties = rValues.GetMaterialProperties();
 
        double friction_angle = r_material_properties[FRICTION_ANGLE] * 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;
        AdvancedConstitutiveLawUtilities<VoigtSize>::CalculateI1Invariant(rPredictiveStressVector, I1);
        array_1d<double, VoigtSize> deviator;
        AdvancedConstitutiveLawUtilities<VoigtSize>::CalculateJ2Invariant(rPredictiveStressVector, 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 Properties& r_material_properties = rValues.GetMaterialProperties();
 
        const double yield_tension = r_material_properties.Has(YIELD_STRESS) ? r_material_properties[YIELD_STRESS] : r_material_properties[YIELD_STRESS_TENSION];
        const double friction_angle = r_material_properties[FRICTION_ANGLE] * Globals::Pi / 180.0; // In radians!
        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 Properties& r_material_properties = rValues.GetMaterialProperties();
 
        const double Gf = r_material_properties[FRACTURE_ENERGY];
        const double E = r_material_properties[YOUNG_MODULUS];
        const bool has_symmetric_yield_stress = r_material_properties.Has(YIELD_STRESS);
        const double yield_compression = has_symmetric_yield_stress ? r_material_properties[YIELD_STRESS] : r_material_properties[YIELD_STRESS_COMPRESSION];
        const double yield_tension = has_symmetric_yield_stress ? r_material_properties[YIELD_STRESS] : r_material_properties[YIELD_STRESS_TENSION];
        const double n = yield_compression / yield_tension;
 
        if (r_material_properties[SOFTENING_TYPE] == static_cast<int>(SofteningType::Exponential)) {
            rAParameter = 1.00 / (Gf * n * n * E / (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 { // linear
            rAParameter = -std::pow(yield_compression, 2) / (2.0 * E * Gf * 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
        )
    {
        const Properties& r_material_properties = rValues.GetMaterialProperties();
 
        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 = r_material_properties[FRICTION_ANGLE] * 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)
    {
        KRATOS_ERROR_IF_NOT(rMaterialProperties.Has(FRICTION_ANGLE)) << "FRICTION_ANGLE is not a defined value" << std::endl;
        if (!rMaterialProperties.Has(YIELD_STRESS)) {
            KRATOS_ERROR_IF_NOT(rMaterialProperties.Has(YIELD_STRESS_TENSION)) << "YIELD_STRESS_TENSION is not a defined value" << std::endl;
            KRATOS_ERROR_IF_NOT(rMaterialProperties.Has(YIELD_STRESS_COMPRESSION)) << "YIELD_STRESS_COMPRESSION is not a defined value" << std::endl;
 
            const double yield_compression = rMaterialProperties[YIELD_STRESS_COMPRESSION];
            const double yield_tension = rMaterialProperties[YIELD_STRESS_TENSION];
 
            KRATOS_ERROR_IF(yield_compression < tolerance) << "Yield stress in compression almost zero or negative, include YIELD_STRESS_COMPRESSION in definition";
            KRATOS_ERROR_IF(yield_tension < tolerance) << "Yield stress in tension almost zero or negative, include YIELD_STRESS_TENSION in definition";
        } else {
            const double yield_stress = rMaterialProperties[YIELD_STRESS];
 
            KRATOS_ERROR_IF(yield_stress < tolerance) << "Yield stress almost zero or negative, include YIELD_STRESS in definition";
        }
        KRATOS_ERROR_IF_NOT(rMaterialProperties.Has(FRACTURE_ENERGY)) << "FRACTURE_ENERGY is not a defined value" << std::endl;
        KRATOS_ERROR_IF_NOT(rMaterialProperties.Has(YOUNG_MODULUS)) << "YOUNG_MODULUS is not a defined value" << std::endl;
 
        return TPlasticPotentialType::Check(rMaterialProperties);
    }
 
    static bool IsWorkingWithTensionThreshold()
    {
        return true;
    }
 
    static double GetScaleFactorTension(const Properties& rMaterialProperties)
    {
        const double friction_angle = rMaterialProperties[FRICTION_ANGLE] * Globals::Pi / 180.0; // In radians!
        const double sin_phi = std::sin(friction_angle);
        return 1.0 / std::abs((3.0 + sin_phi) / (3.0 * sin_phi - 3.0));
    }
 
 
 
 
 
 
protected:
 
 
 
 
 
 
 
private:
 
 
 
 
 
 
 
 
}; // Class DruckerPragerYieldSurface
 
 
 
 
 
} // namespace Kratos.