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rAKA akantu
material_phase_field.hh
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/**
* @file material_phasefield.hh
*
* @author Mohit Pundir <mohit.pundir@epfl.ch>
*
* @date creation: Wed Aug 14 2018
* @date last modification: Wed Aug 14 2018
*
* @brief Mother class for all materials in phasefield model
*
* @section LICENSE
*
* Copyright (©) 2010-2018 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/>.
*
*/
/* -------------------------------------------------------------------------- */
#include "aka_factory.hh"
#include "aka_voigthelper.hh"
#include "data_accessor.hh"
#include "integration_point.hh"
#include "parsable.hh"
#include "parser.hh"
/* -------------------------------------------------------------------------- */
#include "internal_field.hh"
#include "random_internal_field.hh"
/* -------------------------------------------------------------------------- */
#include "mesh_events.hh"
#ifndef __AKANTU_MATERIAL_PHASEFIELD_HH__
#define __AKANTU_MATERIAL_PHASEFIELD_HH__
namespace akantu {
class Model;
class PhaseFieldModel;
} // namespace akantu
namespace akantu {
/**
* Interface of all materials
* Prerequisites for a new material
* - inherit from this class
* - implement the following methods:
* \code
* virtual Real getStableTimeStep(Real h, const Element & element =
* ElementNull);
*
* virtual void computeStress(ElementType el_type,
* GhostType ghost_type = _not_ghost);
*
* virtual void computeTangentStiffness(const ElementType & el_type,
* Array<Real> & tangent_matrix,
* GhostType ghost_type = _not_ghost);
* \endcode
*
*/
class MaterialPhaseField : public Memory,
public DataAccessor<Element>,
public Parsable,
public MeshEventHandler {
/* ------------------------------------------------------------------------ */
/* Constructors/Destructors */
/* ------------------------------------------------------------------------ */
public:
#if __cplusplus > 199711L
MaterialPhaseField(const MaterialPhaseField & mat) = delete;
MaterialPhaseField & operator=(const MaterialPhaseField & mat) = delete;
#endif
/// Initialize material with defaults
MaterialPhaseField(PhaseFieldModel & model, const ID & id = "");
/// Initialize material with custom mesh & fe_engine
MaterialPhaseField(PhaseFieldModel & model, UInt dim, const Mesh & mesh,
FEEngine & fe_engine, const ID & id = "");
/// Destructor
~MaterialPhaseField() override;
/* ------------------------------------------------------------------------ */
/* Function that materials can/should reimplement */
/* ------------------------------------------------------------------------ */
protected:
/// constitutive law
virtual void computeStress(__attribute__((unused)) ElementType el_type,
__attribute__((unused))
GhostType ghost_type = _not_ghost) {
AKANTU_TO_IMPLEMENT();
}
/// compute the tangent stiffness matrix
virtual void computeTangentModuli(__attribute__((unused))
const ElementType & el_type,
__attribute__((unused))
Array<Real> & tangent_matrix,
__attribute__((unused))
GhostType ghost_type = _not_ghost) {
AKANTU_TO_IMPLEMENT();
}
/// compute the fracture energy
virtual void computeFractureEnergy(ElementType el_type,
GhostType ghost_type = _not_ghost);
/// compute the fracture energy for an element
virtual void
computeFractureEnergyByElement(__attribute__((unused)) ElementType type,
__attribute__((unused)) UInt index,
__attribute__((unused))
Vector<Real> & epot_on_quad_points) {
AKANTU_TO_IMPLEMENT();
}
/* ------------------------------------------------------------------------ */
/* Methods */
/* ------------------------------------------------------------------------ */
public:
template <typename T>
void registerInternal(__attribute__((unused)) InternalField<T> & vect) {
AKANTU_TO_IMPLEMENT();
}
template <typename T>
void unregisterInternal(__attribute__((unused)) InternalField<T> & vect) {
AKANTU_TO_IMPLEMENT();
}
/// initialize the material computed parameter
virtual void initMaterial();
/// aseemble the residual for this material
virtual void assembleInternalForces(GhostType ghost_type);
/// assemble the damage matrix
virtual void assembleDamageMatrix(GhostType ghost_type);
/// assemble the damage gradient matrix
virtual void assembleDamageGradMatrix(GhostType ghost_type);
/// add an element to the local mesh filter
inline UInt addElement(const ElementType & type, UInt element,
const GhostType & ghost_type);
inline UInt addElement(const Element & element);
/// add many elements at once
void addElements(const Array<Element> & elements_to_add);
/// remove many element at once
void removeElements(const Array<Element> & elements_to_remove);
/// function to print the contain of the class
void printself(std::ostream & stream, int indent = 0) const override;
/**
* function to initialize the elemental field interpolation
* function by inverting the quadrature points' coordinates
*/
void initElementalFieldInterpolation(
const ElementTypeMapArray<Real> & interpolation_points_coordinates);
/* ------------------------------------------------------------------------ */
/* Common part */
/* ------------------------------------------------------------------------ */
protected:
/* ------------------------------------------------------------------------ */
/// compute the dissipated energy by element
void computePotentialEnergyByElements();
/// resize the intenals arrays
virtual void resizeInternals();
protected:
/// assemble the residual
template <UInt dim>
void assembleInternalForces(GhostType ghost_type);
/// assemble the damage matrix
template <UInt dim>
void assembleDamageMatrix(const ElementType & type,
GhostType ghost_type);
/// assemble the damage gradient matrix
template <UInt dim>
void assembleDamageGradMatrix(const ElementType & type,
GhostType ghost_type);
/* ------------------------------------------------------------------------ */
/* Conversion functions */
/* ------------------------------------------------------------------------ */
public:
template <UInt dim>
static inline void gradUToF(const Matrix<Real> & grad_u, Matrix<Real> & F);
template <UInt dim>
static inline void gradUToEpsilon(const Matrix<Real> & grad_u,
Matrix<Real> & epsilon);
template <UInt dim>
static inline void gradUToGreenStrain(const Matrix<Real> & grad_u,
Matrix<Real> & epsilon);
protected:
/// converts global element to local element
inline Element convertToLocalElement(const Element & global_element) const;
/// converts local element to global element
inline Element convertToGlobalElement(const Element & local_element) const;
/// converts global quadrature point to local quadrature point
inline IntegrationPoint
convertToLocalPoint(const IntegrationPoint & global_point) const;
/// converts local quadrature point to global quadrature point
inline IntegrationPoint
convertToGlobalPoint(const IntegrationPoint & local_point) const;
/* ------------------------------------------------------------------------ */
/* DataAccessor inherited members */
/* ------------------------------------------------------------------------ */
public:
inline UInt getNbData(const Array<Element> & elements,
const SynchronizationTag & tag) const override;
inline void packData(CommunicationBuffer & buffer,
const Array<Element> & elements,
const SynchronizationTag & tag) const override;
inline void unpackData(CommunicationBuffer & buffer,
const Array<Element> & elements,
const SynchronizationTag & tag) override;
template <typename T>
inline void packElementDataHelper(const ElementTypeMapArray<T> & data_to_pack,
CommunicationBuffer & buffer,
const Array<Element> & elements,
const ID & fem_id = ID()) const;
template <typename T>
inline void unpackElementDataHelper(ElementTypeMapArray<T> & data_to_unpack,
CommunicationBuffer & buffer,
const Array<Element> & elements,
const ID & fem_id = ID());
/* ------------------------------------------------------------------------ */
/* MeshEventHandler inherited members */
/* ------------------------------------------------------------------------ */
public:
/* ------------------------------------------------------------------------ */
void onNodesAdded(const Array<UInt> &, const NewNodesEvent &) override{};
void onNodesRemoved(const Array<UInt> &, const Array<UInt> &,
const RemovedNodesEvent &) override{};
void onElementsAdded(const Array<Element> & element_list,
const NewElementsEvent & event) override;
void onElementsRemoved(const Array<Element> & element_list,
const ElementTypeMapArray<UInt> & new_numbering,
const RemovedElementsEvent & event) override;
void onElementsChanged(const Array<Element> &, const Array<Element> &,
const ElementTypeMapArray<UInt> &,
const ChangedElementsEvent &) override{};
/* ------------------------------------------------------------------------ */
/* Accessors */
/* ------------------------------------------------------------------------ */
public:
AKANTU_GET_MACRO(Name, name, const std::string &);
AKANTU_GET_MACRO(Model, model, const PhaseFieldModel &)
AKANTU_GET_MACRO(ID, Memory::getID(), const ID &);
/// get first lame coefficient
AKANTU_GET_MACRO(E, E, Real);
/// get Second lame coefficient
AKANTU_GET_MACRO(Nu, nu, Real);
/// get Griffith fracture energy
AKANTU_GET_MACRO(Gc, gc, Real);
/// get length scale
AKANTU_GET_MACRO(LengthScale, l0, Real);
// get the dimensions
AKANTU_GET_MACRO(SpatialDimension, spatial_dimension, UInt);
/// return the dissipated energy for the subset of elements contained by the
/// material
Real getDissipatedEnergy();
/// return the dissipated energy for the provided element
Real getDissipatedEnergy(ElementType & type, UInt index);
/// return the energy (identified by id) for the subset of elements contained
/// by the material
virtual Real getEnergy(const std::string & energy_id);
/// return the energy (identified by id) for the provided element
virtual Real getEnergy(const std::string & energy_id, ElementType type,
UInt index);
AKANTU_GET_MACRO_BY_ELEMENT_TYPE_CONST(ElementFilter, element_filter, UInt);
AKANTU_GET_MACRO_BY_ELEMENT_TYPE_CONST(GradU, gradu, Real);
AKANTU_GET_MACRO_BY_ELEMENT_TYPE_CONST(Stress, stress, Real);
AKANTU_GET_MACRO_BY_ELEMENT_TYPE_CONST(PotentialEnergy, dissipated_energy,
Real);
AKANTU_GET_MACRO(GradU, gradu, const ElementTypeMapArray<Real> &);
AKANTU_GET_MACRO(Stress, stress, const ElementTypeMapArray<Real> &);
AKANTU_GET_MACRO(ElementFilter, element_filter,
const ElementTypeMapArray<UInt> &);
AKANTU_GET_MACRO(FEEngine, fem, FEEngine &);
bool isNonLocal() const { return is_non_local; }
template <typename T>
const Array<T> & getArray(const ID & id, const ElementType & type,
const GhostType & ghost_type = _not_ghost) const;
template <typename T>
Array<T> & getArray(const ID & id, const ElementType & type,
const GhostType & ghost_type = _not_ghost);
template <typename T>
const InternalField<T> & getInternal(const ID & id) const;
template <typename T> InternalField<T> & getInternal(const ID & id);
template <typename T>
inline bool isInternal(const ID & id, const ElementKind & element_kind) const;
template <typename T>
ElementTypeMap<UInt>
getInternalDataPerElem(const ID & id, const ElementKind & element_kind) const;
protected:
/// Link to the fem object in the model
FEEngine & fem;
/// material name
std::string name;
/// The model to witch the material belong
PhaseFieldModel & model;
/// Young's modulus
Real E;
/// Poisson's ratio
Real nu;
/// First Lamé coefficient
Real lambda;
/// Second Lamé coefficient (shear modulus)
Real mu;
/// Griffith's fracture energy
Real gc;
/// length scale
Real l0;
/// spatial dimension
UInt spatial_dimension;
/// list of element handled by the material
ElementTypeMapArray<UInt> element_filter;
/// damage arrays ordered by element types
InternalField<Real> damage;
/// stresses arrays ordered by element types
InternalField<Real> stress;
/// eigengrad_u arrays ordered by element types
InternalField<Real> eigengradu;
/// grad_u arrays ordered by element types
InternalField<Real> gradu;
/// Green Lagrange strain (Finite deformation)
InternalField<Real> green_strain;
/// Second Piola-Kirchhoff stress tensor arrays ordered by element types
/// (Finite deformation)
InternalField<Real> piola_kirchhoff_2;
/// dissipated energy by element
InternalField<Real> dissipated_energy;
/// tell if using in non local mode or not
bool is_non_local;
/// tell if the material need the previous stress state
bool use_previous_stress;
/// tell if the material need the previous strain state
bool use_previous_gradu;
/// elemental field interpolation coordinates
InternalField<Real> interpolation_inverse_coordinates;
/// elemental field interpolation points
InternalField<Real> interpolation_points_matrices;
/// vector that contains the names of all the internals that need to
/// be transferred when material interfaces move
std::vector<ID> internals_to_transfer;
};
} // namespace akantu
#endif
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