feat(linear-static-mitc4-shell): step 3 - mitc4-kinematics-constitutive

2026-08-12 19:41:51 +09:00
parent 3c093c2933
commit 4e6d0572a7
5 changed files with 1172 additions and 0 deletions
@@ -0,0 +1,112 @@
+#pragma once
+
+#include "fesa/core/status.hpp"
+#include "fesa/math/matrix.hpp"
+#include "fesa/model/model_types.hpp"
+
+#include <array>
+
+namespace fesa {
+
+struct Mitc4ShapeFunctions {
+    std::array<double, 4> values;
+    std::array<double, 4> xiDerivatives;
+    std::array<double, 4> etaDerivatives;
+};
+
+struct Mitc4LocalFrame {
+    std::array<double, 3> e1;
+    std::array<double, 3> e2;
+    std::array<double, 3> e3;
+};
+
+struct Mitc4TyingWeights {
+    std::array<double, 2> xiZeta;
+    std::array<double, 2> etaZeta;
+};
+
+struct Mitc4QuadraturePoint {
+    std::array<double, 3> naturalCoordinates;
+    double weight;
+};
+
+// Concrete small-rotation MITC4 kinematics and material value kernel. Global
+// equation ownership, drilling stiffness, recovery, and assembly remain outside.
+class Mitc4Shell {
+public:
+    static Result<Mitc4Shell> create(
+        std::array<const Node*, 4> nodes,
+        std::array<std::array<double, 3>, 4> initialDirectors,
+        const ShellSection& section,
+        const LinearElasticMaterial& material);
+
+    static Mitc4ShapeFunctions shapeFunctions(double xi, double eta) noexcept;
+    static Mitc4TyingWeights tyingWeights(double xi, double eta) noexcept;
+    static const std::array<Mitc4QuadraturePoint, 8>&
+    volumeQuadrature() noexcept;
+
+    [[nodiscard]] Mitc4LocalFrame localFrame(double xi, double eta) const;
+    [[nodiscard]] Matrix physicalTransformation20() const;
+    [[nodiscard]] Matrix drillingTransformation4() const;
+    [[nodiscard]] Matrix directStrainDisplacement20(
+        double xi,
+        double eta,
+        double zeta) const;
+    [[nodiscard]] Matrix covariantTyingShearSamples20() const;
+    [[nodiscard]] Matrix strainDisplacement20(
+        double xi,
+        double eta,
+        double zeta) const;
+
+    [[nodiscard]] Matrix planeStressConstitutive() const;
+    [[nodiscard]] Matrix materialConstitutive5() const;
+    [[nodiscard]] Matrix membraneSectionMatrix() const;
+    [[nodiscard]] Matrix bendingSectionMatrix() const;
+    [[nodiscard]] Matrix transverseShearSectionMatrix() const;
+
+private:
+    using Vector3 = std::array<double, 3>;
+
+    struct GeometryData {
+        std::array<Vector3, 3> covariant;
+        std::array<Vector3, 3> reciprocal;
+        Mitc4LocalFrame frame;
+        double jacobian;
+    };
+
+    Mitc4Shell(
+        std::array<Vector3, 4> coordinates,
+        std::array<Vector3, 4> directors,
+        std::array<Vector3, 4> tangentA,
+        std::array<Vector3, 4> tangentB,
+        Vector3 normalCandidate,
+        double thickness,
+        double youngsModulus,
+        double poissonRatio);
+
+    bool evaluateGeometry(
+        double xi,
+        double eta,
+        double zeta,
+        GeometryData& result) const noexcept;
+    std::array<std::array<Vector3, 3>, 20> basisDerivatives(
+        double xi,
+        double eta,
+        double zeta) const noexcept;
+    Matrix strainDisplacement(
+        double xi,
+        double eta,
+        double zeta,
+        const Matrix* tyingSamples) const;
+
+    std::array<Vector3, 4> coordinates_;
+    std::array<Vector3, 4> directors_;
+    std::array<Vector3, 4> tangentA_;
+    std::array<Vector3, 4> tangentB_;
+    Vector3 normalCandidate_;
+    double thickness_;
+    double youngsModulus_;
+    double poissonRatio_;
+};
+
+} // namespace fesa