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add explicit derivatives of KL shell (#225)
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| # SPDX-FileCopyrightText: 2021-2024 The Ikarus Developers [email protected] | ||
| # SPDX-License-Identifier: CC0-1.0 | ||
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| name: Dry Run Documentation | ||
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| on: | ||
| push: | ||
| paths-ignore: | ||
| - 'docs/**' | ||
| - '.github/workflows/ghpages.yml' | ||
| - '.github/workflows/createDockerContainer.yml' | ||
| - '**.md' | ||
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| pull_request: | ||
| types: [opened] | ||
| branches: | ||
| - main | ||
| paths-ignore: | ||
| - 'docs/**' | ||
| - '.github/workflows/ghpages.yml' | ||
| - '.github/workflows/createDockerContainer.yml' | ||
| - '**.md' | ||
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| jobs: | ||
| Build-Docs-Dry-Run: | ||
| runs-on: ubuntu-latest | ||
| container: | ||
| image: ikarusproject/ikarus-dev:latest | ||
| options: --memory-swap="20g" --memory="20g" --cpus="2" --user root | ||
| steps: | ||
| - uses: actions/checkout@v2 | ||
| with: | ||
| path: 'repo' | ||
| - uses: actions/setup-python@v4 | ||
| with: | ||
| python-version: 3.x | ||
| - name: Setup Mkdocs | ||
| run: | | ||
| pip install mkdocs | ||
| pip install git+https://${{ secrets.MKDOCS_TOKEN }}@github.com/squidfunk/mkdocs-material-insiders.git | ||
| pip install mkdocs-macros-plugin | ||
| pip install mkdocs-drawio-exporter | ||
| pip install mkdocs-glightbox | ||
| pip install mike | ||
| pip install mkdocs-bibtex | ||
| pip install pillow cairosvg | ||
| apt-get update | ||
| apt-get install libcairo2-dev libfreetype6-dev libffi-dev libjpeg-dev libpng-dev libz-dev -y | ||
| #wget https://github.com/jgraph/drawio-desktop/releases/download/v16.5.1/drawio-amd64-16.5.1.deb | ||
| #sudo apt-get install libayatana-appindicator3-1 libnotify4 | ||
| #sudo dpkg -i drawio-amd64-16.5.1.deb | ||
| #sudo apt-get -y -f install | ||
| #sudo apt install libasound2 xvfb | ||
| - name: Build Doxygen | ||
| run: | | ||
| git clone https://github.com/jothepro/doxygen-awesome-css.git | ||
| cd doxygen-awesome-css | ||
| make install | ||
| apt-get update | ||
| apt-get install texlive-base -y | ||
| cd .. | ||
| cd repo | ||
| mkdir build_docs | ||
| cd build_docs | ||
| cmake .. -DBUILD_DOCS=1 -DDUNE_ENABLE_PYTHONBINDINGS=0 | ||
| cmake --build . --target doxygen_ikarus | ||
| - name: Build Website | ||
| run: | | ||
| git clone https://github.com/ikarus-project/ikarus-project.github.io.git | ||
| cd ikarus-project.github.io | ||
| export MKDOCSOFFLINE=false | ||
| git fetch origin gh-pages --depth=1 | ||
| cp -R ../repo/build_docs/ . | ||
| cp -R ../repo/ikarus/ . | ||
| git config --local user.email "${{ github.event.head_commit.author.email }}" | ||
| git config --local user.name "${{ github.event.head_commit.author.name }}" | ||
| cd build_docs/docs | ||
| mike deploy dev --config-file mkdocs.insiders.yml |
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| Original file line number | Diff line number | Diff line change |
|---|---|---|
| @@ -1,4 +1,4 @@ | ||
| # SPDX-FileCopyrightText: 2021-2024 The Ikarus Developers [email protected] | ||
| # SPDX-License-Identifier: CC0-1.0 | ||
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| tE | ||
| te | ||
| nd |
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| Original file line number | Diff line number | Diff line change |
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| @@ -0,0 +1,109 @@ | ||
| // SPDX-FileCopyrightText: 2021-2024 The Ikarus Developers [email protected] | ||
| // SPDX-License-Identifier: LGPL-3.0-or-later | ||
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| /** | ||
| * \file membranestrains.hh | ||
| * \brief Implementation of membrane strain for shells | ||
| */ | ||
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| #pragma once | ||
| #include <ranges> | ||
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| #include <dune/common/fvector.hh> | ||
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| #include <Eigen/Core> | ||
| namespace Ikarus { | ||
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| struct DefaultMembraneStrain { | ||
| /** | ||
| * \brief Compute the strain vector at a given integration point. | ||
| * | ||
| * \param gpPos The position of the integration point. | ||
| * \param geo The geometry object providing the transposed Jacobian. | ||
| * \param uFunction The function representing the displacement field. | ||
| * | ||
| * \tparam Geometry The type of the geometry object. | ||
| * | ||
| * \return The strain vector at the given integration point. | ||
| */ | ||
| template <typename Geometry> | ||
| auto value(const Dune::FieldVector<double, 2>& gpPos, const Geometry& geo, const auto& uFunction) const | ||
| -> Eigen::Vector3<typename std::remove_cvref_t<decltype(uFunction)>::ctype> { | ||
| using ScalarType = typename std::remove_cvref_t<decltype(uFunction)>::ctype; | ||
| Eigen::Vector3<ScalarType> epsV; | ||
| const auto J = Dune::toEigen(geo.jacobianTransposed(gpPos)); | ||
| using namespace Dune; | ||
| using namespace Dune::DerivativeDirections; | ||
| const Eigen::Matrix<ScalarType, 3, 2> gradu = toEigen( | ||
| uFunction.evaluateDerivative(gpPos, // Here the gpIndex could be passed | ||
| Dune::wrt(spatialAll), Dune::on(Dune::DerivativeDirections::referenceElement))); | ||
| const Eigen::Matrix<ScalarType, 2, 3> j = J + gradu.transpose(); | ||
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| epsV << J.row(0).dot(gradu.col(0)) + 0.5 * gradu.col(0).squaredNorm(), | ||
| J.row(1).dot(gradu.col(1)) + 0.5 * gradu.col(1).squaredNorm(), | ||
| j.row(0).dot(j.row(1)) - J.row(0).dot(J.row(1)); | ||
| return epsV; | ||
| } | ||
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| /** | ||
| * \brief Compute the strain-displacement matrix for a given node and integration point. | ||
| * | ||
| * \param gpPos The position of the integration point. | ||
| * \param jcur The Jacobian matrix. | ||
| * \param dNAtGp The derivative of the shape functions at the integration point. | ||
| * \param geo The geometry object of the finite element. | ||
| * \param uFunction The function representing the displacement field. | ||
| * \param localBasis The local basis object. | ||
| * \param node The FE node index. | ||
| * | ||
| * \tparam Geometry The type of the geometry object. | ||
| * \tparam ScalarType The scalar type for the matrix elements. | ||
| * | ||
| * \return The strain-displacement matrix for the given node and integration point. | ||
| */ | ||
| template <typename Geometry, typename ScalarType> | ||
| auto derivative(const Dune::FieldVector<double, 2>& gpPos, const Eigen::Matrix<ScalarType, 2, 3>& jcur, | ||
| const auto& dNAtGp, const Geometry& geo, const auto& uFunction, const auto& localBasis, | ||
| const int node) const { | ||
| Eigen::Matrix<ScalarType, 3, 3> bop; | ||
| bop.row(0) = jcur.row(0) * dNAtGp(node, 0); | ||
| bop.row(1) = jcur.row(1) * dNAtGp(node, 1); | ||
| bop.row(2) = jcur.row(0) * dNAtGp(node, 1) + jcur.row(1) * dNAtGp(node, 0); | ||
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| return bop; | ||
| } | ||
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| /** | ||
| * \brief Compute the second derivative of the membrane strain for a given node pair and integration point. | ||
| * \details This function computes the geometric tangent stiffness for a given node pair at a given integration | ||
| * point. | ||
| * | ||
| * \param gpPos The position of the integration point. | ||
| * \param dNAtGp The derivative of the shape functions at the integration point. | ||
| * \param geo The geometry object. | ||
| * \param uFunction The function representing the displacement field. | ||
| * \param localBasis The local basis object. | ||
| * \param S The strain vector. | ||
| * \param I The index of the first node. | ||
| * \param J The index of the second node. | ||
| * | ||
| * \tparam Geometry The type of the geometry object. | ||
| * \tparam ScalarType The scalar type for the matrix elements. | ||
| * | ||
| * \return The second derivative of the membrane strain. | ||
| */ | ||
| template <typename Geometry, typename ScalarType> | ||
| auto secondDerivative(const Dune::FieldVector<double, 2>& gpPos, const auto& dNAtGp, const Geometry& geo, | ||
| const auto& uFunction, const auto& localBasis, const Eigen::Vector3<ScalarType>& S, int I, | ||
| int J) const { | ||
| const auto& dN1i = dNAtGp(I, 0); | ||
| const auto& dN1j = dNAtGp(J, 0); | ||
| const auto& dN2i = dNAtGp(I, 1); | ||
| const auto& dN2j = dNAtGp(J, 1); | ||
| const ScalarType NS = dN1i * dN1j * S[0] + dN2i * dN2j * S[1] + (dN1i * dN2j + dN2i * dN1j) * S[2]; | ||
| Eigen::Matrix<ScalarType, 3, 3> kg = Eigen::Matrix<double, 3, 3>::Identity() * NS; | ||
| return kg; | ||
| } | ||
| }; | ||
|
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| } // namespace Ikarus |
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