tresca_plastic_potential.h

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// KRATOS ___                _   _ _         _   _             __                       _
//       / __\___  _ __  ___| |_(_) |_ _   _| |_(_)_   _____  / /  __ ___      _____   /_\  _ __  _ __
//      / /  / _ \| '_ \/ __| __| | __| | | | __| \ \ / / _ \/ /  / _` \ \ /\ / / __| //_\\| '_ \| '_  |
//     / /__| (_) | | | \__ \ |_| | |_| |_| | |_| |\ V /  __/ /__| (_| |\ V  V /\__ \/  _  \ |_) | |_) |
//     \____/\___/|_| |_|___/\__|_|\__|\__,_|\__|_| \_/ \___\____/\__,_| \_/\_/ |___/\_/ \_/ .__/| .__/
//                                                                                         |_|   |_|
//
//  License:         BSD License
//                   license: structural_mechanics_application/license.txt
//
//  Main authors:    Alejandro Cornejo & Lucia Barbu
//
 
#pragma once
 
// System includes
 
// Project includes
#include "generic_plastic_potential.h"
 
namespace Kratos
{
 
 
    // The size type definition
    typedef std::size_t SizeType;
 
 
 
 
template <SizeType TVoigtSize = 6>
class TrescaPlasticPotential
{
  public:
 
    static constexpr SizeType Dimension = TVoigtSize == 6 ? 3 : 2;
 
    static constexpr SizeType VoigtSize = TVoigtSize;
 
    KRATOS_CLASS_POINTER_DEFINITION(TrescaPlasticPotential);
 
 
    TrescaPlasticPotential()
    {
    }
 
    TrescaPlasticPotential(TrescaPlasticPotential const &rOther)
    {
    }
 
    TrescaPlasticPotential &operator=(TrescaPlasticPotential const &rOther)
    {
        return *this;
    }
 
    virtual ~TrescaPlasticPotential(){};
 
 
 
    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
        )
    {
        array_1d<double, VoigtSize> second_vector, third_vector;
 
        AdvancedConstitutiveLawUtilities<VoigtSize>::CalculateSecondVector(rDeviator, J2, second_vector);
        AdvancedConstitutiveLawUtilities<VoigtSize>::CalculateThirdVector(rDeviator, J2, third_vector);
 
        double J3, lode_angle;
        AdvancedConstitutiveLawUtilities<VoigtSize>::CalculateJ3Invariant(rDeviator, J3);
        AdvancedConstitutiveLawUtilities<VoigtSize>::CalculateLodeAngle(J2, J3, lode_angle);
 
        const double checker = std::abs(lode_angle * 180.0 / Globals::Pi);
 
        double c2, c3;
        if (checker < 29.0) {
            c2 = 2.0 * (std::cos(lode_angle) + std::sin(lode_angle) * std::tan(3.0 * lode_angle));
            c3 = std::sqrt(3.0) * std::sin(lode_angle) / (J2 * std::cos(3.0 * lode_angle));
        } else {
            c2 = std::sqrt(3.0);
            c3 = 0.0;
        }
 
        noalias(rGFlux) = c2 * second_vector + c3 * third_vector;
    }
 
    static int Check(const Properties& rMaterialProperties)
    {
        return 0;
    }
 
 
 
 
 
 
  protected:
 
 
 
 
 
 
 
 
  private:
 
 
 
 
 
 
 
 
}; // Class GenericYieldSurface
 
 
 
 
 
} // namespace Kratos.