QE2.h

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/*******************************************************************************
 * Copyright (C) 2017-2023 Theodore Chang
 *
 * This program is free software: you can redistribute it and/or modify
 * it under the terms of the GNU General Public License as published by
 * the Free Software Foundation, either version 3 of the License, or
 * (at your option) any later version.
 *
 * This program is distributed in the hope that it will be useful,
 * but WITHOUT ANY WARRANTY; without even the implied warranty of
 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
 * GNU General Public License for more details.
 *
 * You should have received a copy of the GNU General Public License
 * along with this program.  If not, see <http://www.gnu.org/licenses/>.
 ******************************************************************************/
#ifndef QE2_H
#define QE2_H
 
#include <Element/MaterialElement.h>
 
class QE2 final : public MaterialElement2D {
    struct IntegrationPoint final {
        vec coor;
        const double factor;
        unique_ptr<Material> m_material;
        mat P, A, B, BI;
        IntegrationPoint(vec&&, double, unique_ptr<Material>&&);
    };
 
    static constexpr unsigned m_node = 4, m_dof = 2, m_size = m_dof * m_node;
 
    static mat mapping;
 
    const double thickness;
 
    vector<IntegrationPoint> int_pt;
 
    const mat mat_stiffness, iso_mapping;
 
    mat HT, HIL, HILI, L, LI; // constant matrices
 
    mat initial_qtitt, trial_qtitt, current_qtitt; // eq. 65
    vec trial_qtifi, current_qtifi;                // eq. 65
    vec trial_lambda, current_lambda;              // enhanced strain
    vec trial_alpha, current_alpha;                // strain
    vec trial_beta, current_beta;                  // stress
 
    vec pre_disp;
 
    static vec form_stress_mode(double, double);
 
public:
    QE2(
        unsigned,   // tag
        uvec&&,     // node tags
        unsigned,   // material tags
        double = 1. // thickness
    );
 
    int initialize(const shared_ptr<DomainBase>&) override;
 
    int update_status() override;
 
    int clear_status() override;
    int commit_status() override;
    int reset_status() override;
 
    [[nodiscard]] mat compute_shape_function(const mat&, unsigned) const override;
 
    vector<vec> record(OutputType) override;
 
    void print() override;
 
#ifdef SUANPAN_VTK
    void Setup() override;
    void GetData(vtkSmartPointer<vtkDoubleArray>&, OutputType) override;
    mat GetData(OutputType) override;
    void SetDeformation(vtkSmartPointer<vtkPoints>&, double) override;
#endif
};
 
#endif