GMatrix.h

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#pragma once
 
#include <cmath>
 
namespace ProcessLib
{
namespace Deformation
{
template <int DisplacementDim,
          int NPOINTS,
          typename N_Type,
          typename DNDX_Type,
          typename GMatrixType>
void computeGMatrix(DNDX_Type const& dNdx,
                    GMatrixType& g_matrix,
                    const bool is_axially_symmetric,
                    N_Type const& N,
                    const double radius)
{
    static_assert(0 < DisplacementDim && DisplacementDim <= 3,
                  "LinearGMatrix::computeGMatrix: DisplacementDim must be in "
                  "range [1,3].");
 
    g_matrix.setZero();
 
    switch (DisplacementDim)
    {
        case 3:
            // The gradient coordinates are organized in the following order:
            // (1,1), (1,2), (1,3)
            // (2,1), (2,2), (2,3)
            // (3,1), (3,2), (3,3)
            for (int i = 0; i < NPOINTS; ++i)
            {
                auto G_col0 = g_matrix.col(i);
                auto G_col1 = g_matrix.col(i + NPOINTS);
                auto G_col2 = g_matrix.col(i + 2 * NPOINTS);
                auto const dNidx = dNdx.col(i);
 
                G_col0.template segment<DisplacementDim>(0).noalias() = dNidx;
                G_col1.template segment<DisplacementDim>(DisplacementDim)
                    .noalias() = dNidx;
                G_col2.template segment<DisplacementDim>(2 * DisplacementDim)
                    .noalias() = dNidx;
            }
 
            break;
        case 2:
            // The gradient coordinates are organized in the following order:
            // (1,1), (1,2)
            // (2,1), (2,2)
            // (3,3)
            for (int i = 0; i < NPOINTS; ++i)
            {
                auto G_col0 = g_matrix.col(i);
                auto G_col1 = g_matrix.col(i + NPOINTS);
                auto const dNidx = dNdx.col(i);
 
                G_col0.template segment<DisplacementDim>(0).noalias() = dNidx;
                G_col1.template segment<DisplacementDim>(DisplacementDim)
                    .noalias() = dNidx;
 
                if (is_axially_symmetric)
                {
                    G_col0[4] = N[i] / radius;
                }
            }
            break;
        default:
            break;
    }
}
 
}  // namespace Deformation
}  // namespace ProcessLib