1895 {
1897
1898 auto create_tag = [this](const std::string tag_name, const int size) {
1899 double def_VAL[] = {0, 0, 0, 0, 0, 0, 0, 0, 0};
1902 th, MB_TAG_CREAT | MB_TAG_SPARSE,
1903 def_VAL);
1905 };
1906
1907 Tag th_w = create_tag("SpatialDisplacement", 3);
1908 Tag th_omega = create_tag("Omega", 3);
1909 Tag th_approxP = create_tag("Piola1Stress", 9);
1910 Tag th_sigma = create_tag("CauchyStress", 9);
1911 Tag th_log_u = create_tag("LogSpatialStretch", 9);
1912 Tag th_u = create_tag("SpatialStretch", 9);
1913 Tag th_h = create_tag("h", 9);
1914 Tag th_X = create_tag("X", 3);
1915 Tag th_detF = create_tag("detF", 1);
1916 Tag th_angular_momentum = create_tag("AngularMomentum", 3);
1917
1918 Tag th_u_eig_vec = create_tag("SpatialStretchEigenVec", 9);
1919 Tag th_u_eig_vals = create_tag("SpatialStretchEigenVals", 3);
1920 Tag th_traction = create_tag("traction", 3);
1921
1922 Tag th_disp = create_tag("U", 3);
1923 Tag th_disp_error = create_tag("U_ERROR", 1);
1924
1925 auto t_w = getFTensor1FromMat<3>(
dataAtPts->wL2AtPts);
1926 auto t_omega = getFTensor1FromMat<3>(
dataAtPts->rotAxisAtPts);
1927 auto t_h = getFTensor2FromMat<3, 3>(
dataAtPts->hAtPts);
1928 auto t_log_u =
1929 getFTensor2SymmetricFromMat<3>(
dataAtPts->logStretchTensorAtPts);
1930 auto t_u = getFTensor2SymmetricFromMat<3>(
dataAtPts->stretchTensorAtPts);
1931 auto t_R = getFTensor2FromMat<3, 3>(
dataAtPts->rotMatAtPts);
1932 auto t_approx_P = getFTensor2FromMat<3, 3>(
dataAtPts->approxPAtPts);
1933 auto t_levi_kirchoff = getFTensor1FromMat<3>(
dataAtPts->leviKirchoffAtPts);
1934 auto t_coords = getFTensor1CoordsAtGaussPts();
1935 auto t_normal = getFTensor1NormalsAtGaussPts();
1936 auto t_disp = getFTensor1FromMat<3>(
dataAtPts->wH1AtPts);
1937
1942
1943 auto set_float_precision = [](const double x) {
1944 if (std::abs(x) < std::numeric_limits<float>::epsilon())
1945 return 0.;
1946 else
1947 return x;
1948 };
1949
1950
1951 auto save_scal_tag = [&](
auto &
th,
auto v,
const int gg) {
1953 v = set_float_precision(
v);
1956 };
1957
1958
1961 auto save_vec_tag = [&](
auto &
th,
auto &t_d,
const int gg) {
1964 for (
auto &a :
v.data())
1965 a = set_float_precision(a);
1967 &*
v.data().begin());
1969 };
1970
1971
1972
1975 &
m(0, 0), &
m(0, 1), &
m(0, 2),
1976
1977 &
m(1, 0), &
m(1, 1), &
m(1, 2),
1978
1979 &
m(2, 0), &
m(2, 1), &
m(2, 2));
1980
1981 auto save_mat_tag = [&](
auto &
th,
auto &t_d,
const int gg) {
1983 t_m(
i,
j) = t_d(
i,
j);
1984 for (
auto &
v :
m.data())
1985 v = set_float_precision(
v);
1987 &*
m.data().begin());
1989 };
1990
1991 const auto nb_gauss_pts = getGaussPts().size2();
1992 for (auto gg = 0; gg != nb_gauss_pts; ++gg) {
1993
1995 t_traction(
i) = t_approx_P(
i,
j) * t_normal(
j) / t_normal.
l2();
1996
1997
1998 CHKERR save_vec_tag(th_w, t_w, gg);
1999 CHKERR save_vec_tag(th_X, t_coords, gg);
2000 CHKERR save_vec_tag(th_omega, t_omega, gg);
2001 CHKERR save_vec_tag(th_traction, t_traction, gg);
2002
2003
2004 CHKERR save_mat_tag(th_h, t_h, gg);
2005
2007 for (int ii = 0; ii != 3; ++ii)
2008 for (int jj = 0; jj != 3; ++jj)
2009 t_log_u_tmp(ii, jj) = t_log_u(ii, jj);
2010
2011 CHKERR save_mat_tag(th_log_u, t_log_u_tmp, gg);
2012
2014 for (int ii = 0; ii != 3; ++ii)
2015 for (int jj = 0; jj != 3; ++jj)
2016 t_u_tmp(ii, jj) = t_u(ii, jj);
2017
2018 CHKERR save_mat_tag(th_u, t_u_tmp, gg);
2019 CHKERR save_mat_tag(th_approxP, t_approx_P, gg);
2020 CHKERR save_vec_tag(th_disp, t_disp, gg);
2021
2022 double u_error = sqrt((t_disp(
i) - t_w(
i)) * (t_disp(
i) - t_w(
i)));
2023 CHKERR save_scal_tag(th_disp_error, u_error, gg);
2024
2027 t_cauchy(
i,
j) = (1. / jac) * (t_approx_P(
i,
k) * t_h(
j,
k));
2028 CHKERR save_mat_tag(th_sigma, t_cauchy, gg);
2030
2032 t_levi(
k) = t_levi_kirchoff(
k);
2034 &t_levi(0));
2035
2036 auto get_eiegn_vector_symmetric = [&](auto &t_u) {
2038
2039 for (int ii = 0; ii != 3; ++ii)
2040 for (int jj = 0; jj != 3; ++jj)
2041 t_m(ii, jj) = t_u(ii, jj);
2042
2044 auto t_eigen_values = getFTensor1FromArray<3>(eigen_values);
2046
2048 &*
m.data().begin());
2050 &*eigen_values.data().begin());
2051
2053 };
2054
2055 CHKERR get_eiegn_vector_symmetric(t_u);
2056
2057 ++t_w;
2058 ++t_h;
2059 ++t_log_u;
2060 ++t_u;
2061 ++t_omega;
2062 ++t_R;
2063 ++t_approx_P;
2064 ++t_levi_kirchoff;
2065 ++t_coords;
2066 ++t_normal;
2067 ++t_disp;
2068 }
2069
2071}
#define MoFEMFunctionBegin
First executable line of each MoFEM function, used for error handling. Final line of MoFEM functions ...
#define MoFEMFunctionReturn(a)
Last executable line of each PETSc function used for error handling. Replaces return()
#define CHKERR
Inline error check.
FTensor::Index< 'm', SPACE_DIM > m
FTensor::Index< 'i', SPACE_DIM > i
const double v
phase velocity of light in medium (cm/ns)
FTensor::Index< 'l', 3 > l
FTensor::Index< 'j', 3 > j
FTensor::Index< 'k', 3 > k
VectorBoundedArray< double, 3 > VectorDouble3
MoFEMErrorCode computeEigenValuesSymmetric(const MatrixDouble &mat, VectorDouble &eig, MatrixDouble &eigen_vec)
compute eigenvalues of a symmetric matrix using lapack dsyev
static auto determinantTensor3by3(T &t)
Calculate the determinant of a 3x3 matrix or a tensor of rank 2.
