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material_reinforcement.hh
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/**
* @file material_reinforcement.hh
*
* @author Lucas Frerot <lucas.frerot@epfl.ch>
*
* @date creation: Fri Mar 13 2015
* @date last modification: Tue Nov 24 2015
*
* @brief Reinforcement material
*
* @section LICENSE
*
* Copyright (©) 2015 EPFL (Ecole Polytechnique Fédérale de Lausanne) Laboratory
* (LSMS - Laboratoire de Simulation en Mécanique des Solides)
*
* Akantu is free software: you can redistribute it and/or modify it under the
* terms of the GNU Lesser General Public License as published by the Free
* Software Foundation, either version 3 of the License, or (at your option) any
* later version.
*
* Akantu is distributed in the hope that it will be useful, but WITHOUT ANY
* WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR
* A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more
* details.
*
* You should have received a copy of the GNU Lesser General Public License
* along with Akantu. If not, see <http://www.gnu.org/licenses/>.
*
*/
/* -------------------------------------------------------------------------- */
#ifndef __AKANTU_MATERIAL_REINFORCEMENT_HH__
#define __AKANTU_MATERIAL_REINFORCEMENT_HH__
#include "aka_common.hh"
#include "material.hh"
#include "embedded_interface_model.hh"
#include "embedded_internal_field.hh"
/* -------------------------------------------------------------------------- */
namespace akantu {
/**
* @brief Material used to represent embedded reinforcements
*
* This class is used for computing the reinforcement stiffness matrix
* along with the reinforcement residual. Room is made for constitutive law,
* but actual use of contitutive laws is made in MaterialReinforcementTemplate.
*
* Be careful with the dimensions in this class :
* - this->spatial_dimension is always 1
* - the template parameter dim is the dimension of the problem
*/
template <class Mat, UInt dim> class MaterialReinforcement : public Mat {
/* ------------------------------------------------------------------------ */
/* Constructors/Destructors */
/* ------------------------------------------------------------------------ */
public:
/// Constructor
MaterialReinforcement(EmbeddedInterfaceModel & model, const ID & id = "");
/// Destructor
~MaterialReinforcement() override;
protected:
void initialize();
/* ------------------------------------------------------------------------ */
/* Methods */
/* ------------------------------------------------------------------------ */
public:
/// Init the material
void initMaterial() override;
/// Init the filters for background elements
void initFilters();
/// Init the background shape derivatives
void initBackgroundShapeDerivatives();
/// Init the cosine matrices
void initDirectingCosines();
/// Assemble stiffness matrix
void assembleStiffnessMatrix(GhostType ghost_type) override;
/// Compute all the stresses !
void computeAllStresses(GhostType ghost_type) override;
/// Compute energy
Real getEnergy(const std::string & id) override;
/// Assemble the residual of one type of element (typically _segment_2)
void assembleInternalForces(GhostType ghost_type) override;
/* ------------------------------------------------------------------------ */
/* Protected methods */
/* ------------------------------------------------------------------------ */
protected:
/// Allocate the background shape derivatives
void allocBackgroundShapeDerivatives();
/// Compute the directing cosines matrix for one element type
void computeDirectingCosines(const ElementType & type, GhostType ghost_type);
/// Compute the directing cosines matrix on quadrature points.
inline void computeDirectingCosinesOnQuad(const Matrix<Real> & nodes,
Matrix<Real> & cosines);
/// Add the prestress to the computed stress
void addPrestress(const ElementType & type, GhostType ghost_type);
/// Compute displacement gradient in reinforcement
void computeGradU(const ElementType & interface_type, GhostType ghost_type);
/// Assemble the stiffness matrix for an element type (typically _segment_2)
void assembleStiffnessMatrix(const ElementType & type, GhostType ghost_type);
/// Assemble the stiffness matrix for background & interface types
void assembleStiffnessMatrixInterface(const ElementType & interface_type,
const ElementType & background_type,
GhostType ghost_type);
/// Compute the background shape derivatives for a type
void computeBackgroundShapeDerivatives(const ElementType & type,
GhostType ghost_type);
/// Compute the background shape derivatives for a type pair
void computeBackgroundShapeDerivatives(const ElementType & interface_type,
const ElementType & bg_type,
GhostType ghost_type,
const Array<UInt> & filter);
/// Filter elements crossed by interface of a type
void filterInterfaceBackgroundElements(Array<UInt> & foreground,
Array<UInt> & background,
const ElementType & type,
const ElementType & interface_type,
GhostType ghost_type);
/// Assemble the residual of one type of element (typically _segment_2)
void assembleInternalForces(const ElementType & type, GhostType ghost_type);
/// Assemble the residual for a pair of elements
void assembleInternalForcesInterface(const ElementType & interface_type,
const ElementType & background_type,
GhostType ghost_type);
// TODO figure out why voigt size is 4 in 2D
inline void stressTensorToVoigtVector(const Matrix<Real> & tensor,
Vector<Real> & vector);
inline void strainTensorToVoigtVector(const Matrix<Real> & tensor,
Vector<Real> & vector);
/// Get background filter
Array<UInt> & getBackgroundFilter(const ElementType & fg_type,
const ElementType & bg_type,
GhostType ghost_type) {
return (*background_filter(fg_type, ghost_type))(bg_type, ghost_type);
}
/// Get foreground filter
Array<UInt> & getForegroundFilter(const ElementType & fg_type,
const ElementType & bg_type,
GhostType ghost_type) {
return (*foreground_filter(fg_type, ghost_type))(bg_type, ghost_type);
}
/* ------------------------------------------------------------------------ */
/* Class Members */
/* ------------------------------------------------------------------------ */
protected:
/// Embedded model
EmbeddedInterfaceModel & emodel;
/// Gradu of concrete on reinforcement
InternalField<Real> gradu_embedded;
/// C matrix on quad
InternalField<Real> directing_cosines;
/// Prestress on quad
InternalField<Real> pre_stress;
/// Cross-sectional area
Real area;
template <typename T>
using CrossMap = ElementTypeMap<std::unique_ptr<ElementTypeMapArray<T>>>;
/// Background mesh shape derivatives
CrossMap<Real> shape_derivatives;
/// Foreground mesh filter (contains segment ids)
CrossMap<UInt> foreground_filter;
/// Background element filter (contains bg ids)
CrossMap<UInt> background_filter;
};
} // akantu
#include "material_reinforcement_tmpl.hh"
#endif // __AKANTU_MATERIAL_REINFORCEMENT_HH__
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