KOKO\Mimi
143 lines
4.1 KiB
C++
143 lines
4.1 KiB
C++
#pragma once
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#include "fesa/core/status.h"
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#include "fesa/math/matrix.h"
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#include "fesa/math/vector.h"
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#include "fesa/model/model_types.hpp"
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#include <array>
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#include <string>
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namespace fesa {
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struct Mitc4ShapeFunctions {
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std::array<double, 4> values;
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std::array<double, 4> xiDerivatives;
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std::array<double, 4> etaDerivatives;
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};
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struct Mitc4LocalFrame {
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std::array<double, 3> e1;
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std::array<double, 3> e2;
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std::array<double, 3> e3;
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};
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struct Mitc4TyingWeights {
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std::array<double, 2> xiZeta;
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std::array<double, 2> etaZeta;
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};
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struct Mitc4QuadraturePoint {
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std::array<double, 3> naturalCoordinates;
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double weight;
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};
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struct Mitc4Stiffness {
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Matrix physicalLocal20;
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Matrix physicalGlobal24;
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Matrix drillingGlobal24;
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Matrix stabilizedGlobal24;
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double drillingStiffness;
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};
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struct Mitc4PhysicalRecoveryPoint {
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std::array<double, 2> naturalCoordinates;
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Mitc4LocalFrame localFrame;
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std::array<double, 8> generalizedStrain;
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std::array<double, 8> sectionResultant;
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std::array<std::array<double, 3>, 3> inPlaneStress;
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};
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struct Mitc4PhysicalRecovery {
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std::array<Mitc4PhysicalRecoveryPoint, 4> points;
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double strainEnergy;
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};
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// Concrete small-rotation MITC4 kinematics, constitutive, stiffness, and
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// physical-only recovery kernel. Global equation/result ownership remains outside.
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class Mitc4Shell {
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public:
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static Result<Mitc4Shell> create(
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std::array<const Node*, 4> nodes,
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std::array<std::array<double, 3>, 4> initialDirectors,
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const ShellSection& section,
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const LinearElasticMaterial& material);
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static Mitc4ShapeFunctions shapeFunctions(double xi, double eta) noexcept;
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static Mitc4TyingWeights tyingWeights(double xi, double eta) noexcept;
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static const std::array<Mitc4QuadraturePoint, 8>&
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volumeQuadrature() noexcept;
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[[nodiscard]] Mitc4LocalFrame localFrame(double xi, double eta) const;
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[[nodiscard]] Matrix physicalTransformation20() const;
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[[nodiscard]] Matrix drillingTransformation4() const;
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[[nodiscard]] Matrix directStrainDisplacement20(
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double xi,
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double eta,
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double zeta) const;
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[[nodiscard]] Matrix covariantTyingShearSamples20() const;
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[[nodiscard]] Matrix strainDisplacement20(
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double xi,
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double eta,
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double zeta) const;
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[[nodiscard]] Matrix planeStressConstitutive() const;
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[[nodiscard]] Matrix materialConstitutive5() const;
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[[nodiscard]] Matrix membraneSectionMatrix() const;
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[[nodiscard]] Matrix bendingSectionMatrix() const;
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[[nodiscard]] Matrix transverseShearSectionMatrix() const;
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[[nodiscard]] Result<Mitc4Stiffness> stiffness() const;
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[[nodiscard]] Result<Mitc4PhysicalRecovery> recoverPhysical(
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const Vector& globalElementDisplacement24) const;
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private:
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using Vector3 = std::array<double, 3>;
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struct GeometryData {
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std::array<Vector3, 3> covariant;
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std::array<Vector3, 3> reciprocal;
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Mitc4LocalFrame frame;
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double jacobian;
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};
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Mitc4Shell(
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std::array<Vector3, 4> coordinates,
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std::array<Vector3, 4> directors,
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std::array<Vector3, 4> tangentA,
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std::array<Vector3, 4> tangentB,
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Vector3 normalCandidate,
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double thickness,
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double youngsModulus,
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double poissonRatio,
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SourceLocation sourceLocation,
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std::string identity);
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bool evaluateGeometry(
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double xi,
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double eta,
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double zeta,
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GeometryData& result) const noexcept;
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std::array<std::array<Vector3, 3>, 20> basisDerivatives(
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double xi,
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double eta,
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double zeta) const noexcept;
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Matrix strainDisplacement(
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double xi,
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double eta,
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double zeta,
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const Matrix* tyingSamples) const;
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std::array<Vector3, 4> coordinates_;
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std::array<Vector3, 4> directors_;
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std::array<Vector3, 4> tangentA_;
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std::array<Vector3, 4> tangentB_;
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Vector3 normalCandidate_;
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double thickness_;
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double youngsModulus_;
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double poissonRatio_;
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SourceLocation sourceLocation_;
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std::string identity_;
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};
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} // namespace fesa
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