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weight_function.hh
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/**
* @file weight_function.hh
*
* @author Nicolas Richart <nicolas.richart@epfl.ch>
* @author Cyprien Wolff <cyprien.wolff@epfl.ch>
*
* @date creation: Fri Apr 13 2012
* @date last modification: Thu Jun 05 2014
*
* @brief Weight functions for non local materials
*
* @section LICENSE
*
* Copyright (©) 2014 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_common.hh"
#include "aka_types.hh"
#include "solid_mechanics_model.hh"
#include "parsable.hh"
#include <cmath>
#if defined(AKANTU_DEBUG_TOOLS)
#include "aka_debug_tools.hh"
#include <string>
#endif
/* -------------------------------------------------------------------------- */
#include <vector>
#ifndef __AKANTU_WEIGHT_FUNCTION_HH__
#define __AKANTU_WEIGHT_FUNCTION_HH__
__BEGIN_AKANTU__
/* -------------------------------------------------------------------------- */
/* Normal weight function */
/* -------------------------------------------------------------------------- */
template<UInt spatial_dimension>
class BaseWeightFunction : public Parsable {
public:
BaseWeightFunction(Material & material, const std::string & type = "base") :
Parsable(_st_non_local, "weight_function:" + type), material(material), type(type) {
this->registerParam("radius" , R , 100.,
_pat_parsable | _pat_readable , "Non local radius");
this->registerParam("update_rate" , update_rate, 0U ,
_pat_parsmod, "Update frequency");
}
virtual ~BaseWeightFunction() {}
virtual void init() { R2 = R * R; };
virtual void updateInternals(__attribute__((unused)) const ElementTypeMapArray<Real> & quadrature_points_coordinates) {};
/* ------------------------------------------------------------------------ */
inline void setRadius(Real radius) { R = radius; R2 = R * R; }
/* ------------------------------------------------------------------------ */
inline void selectType(__attribute__((unused)) ElementType type1,
__attribute__((unused)) GhostType ghost_type1,
__attribute__((unused)) ElementType type2,
__attribute__((unused)) GhostType ghost_type2) {
}
/* ------------------------------------------------------------------------ */
inline Real operator()(Real r,
const __attribute__((unused)) QuadraturePoint & q1,
const __attribute__((unused)) QuadraturePoint & q2) {
Real w = 0;
if(r <= R) {
Real alpha = (1. - r*r / R2);
w = alpha * alpha;
// *weight = 1 - sqrt(r / radius);
}
return w;
}
void printself(std::ostream & stream, int indent) const {
std::string space;
for(Int i = 0; i < indent; i++, space += AKANTU_INDENT);
stream << space << "WeightFunction " << type << " [" << std::endl;
Parsable::printself(stream, indent);
stream << space << "]" << std::endl;
}
public:
Real getRadius() { return R; }
UInt getUpdateRate() { return update_rate; }
public:
virtual UInt getNbDataForElements(__attribute__((unused)) const Array<Element> & elements,
__attribute__((unused)) SynchronizationTag tag) const {
return 0;
}
virtual inline void packElementData(__attribute__((unused)) CommunicationBuffer & buffer,
__attribute__((unused)) const Array<Element> & elements,
__attribute__((unused)) SynchronizationTag tag) const {}
virtual inline void unpackElementData(__attribute__((unused)) CommunicationBuffer & buffer,
__attribute__((unused)) const Array<Element> & elements,
__attribute__((unused)) SynchronizationTag tag) {}
protected:
Material & material;
Real R;
Real R2;
UInt update_rate;
const std::string type;
};
/* -------------------------------------------------------------------------- */
/* Damage weight function */
/* -------------------------------------------------------------------------- */
template<UInt spatial_dimension>
class DamagedWeightFunction : public BaseWeightFunction<spatial_dimension> {
public:
DamagedWeightFunction(Material & material) : BaseWeightFunction<spatial_dimension>(material, "damaged") {}
inline void selectType(__attribute__((unused)) ElementType type1,
__attribute__((unused)) GhostType ghost_type1,
ElementType type2,
GhostType ghost_type2) {
selected_damage = &this->material.getArray("damage", type2, ghost_type2);
}
inline Real operator()(Real r,
const __attribute__((unused)) QuadraturePoint & q1,
const QuadraturePoint & q2) {
UInt quad = q2.global_num;
Real D = (*selected_damage)(quad);
Real Radius_t = 0;
Real Radius_init = this->R2;
// if(D <= 0.5)
// {
// Radius_t = 2*D*Radius_init;
// }
// else
// {
// Radius_t = 2*Radius_init*(1-D);
// }
//
Radius_t = Radius_init*(1-D);
Radius_init *= Radius_init;
Radius_t *= Radius_t;
if(Radius_t < Math::getTolerance()) {
Radius_t = 0.001*Radius_init;
}
Real expb = (2*std::log(0.51))/(std::log(1.0-0.49*Radius_t/Radius_init));
Int expb_floor=std::floor(expb);
Real b = expb_floor + expb_floor%2;
Real alpha = std::max(0., 1. - r*r / Radius_init);
Real w = std::pow(alpha,b);
return w;
}
private:
const Array<Real> * selected_damage;
};
/* -------------------------------------------------------------------------- */
/* Remove damaged weight function */
/* -------------------------------------------------------------------------- */
template<UInt spatial_dimension>
class RemoveDamagedWeightFunction : public BaseWeightFunction<spatial_dimension> {
public:
RemoveDamagedWeightFunction(Material & material) : BaseWeightFunction<spatial_dimension>(material, "remove_damaged") {
this->registerParam("damage_limit", this->damage_limit, 1., _pat_parsable, "Damage Threshold");
}
inline void selectType(__attribute__((unused)) ElementType type1,
__attribute__((unused)) GhostType ghost_type1,
ElementType type2,
GhostType ghost_type2) {
selected_damage = &this->material.getArray("damage", type2, ghost_type2);
}
inline Real operator()(Real r,
const __attribute__((unused)) QuadraturePoint & q1,
const QuadraturePoint & q2) {
UInt quad = q2.global_num;
if(q1 == q2) return 1.;
Real D = (*selected_damage)(quad);
Real w = 0.;
if(D < damage_limit) {
Real alpha = std::max(0., 1. - r*r / this->R2);
w = alpha * alpha;
}
return w;
}
virtual UInt getNbDataForElements(const Array<Element> & elements,
SynchronizationTag tag) const {
if(tag == _gst_mnl_weight)
return this->material.getModel().getNbQuadraturePoints(elements) * sizeof(Real);
return 0;
}
virtual inline void packElementData(CommunicationBuffer & buffer,
const Array<Element> & elements,
SynchronizationTag tag) const {
if(tag == _gst_mnl_weight) {
ElementTypeMapArray<Real> & damage = this->material.getInternal("damage");
this->material.packElementDataHelper(damage,
buffer,
elements);
}
}
virtual inline void unpackElementData(CommunicationBuffer & buffer,
const Array<Element> & elements,
SynchronizationTag tag) {
if(tag == _gst_mnl_weight) {
ElementTypeMapArray<Real> & damage = this->material.getInternal("damage");
this->material.unpackElementDataHelper(damage,
buffer,
elements);
}
}
private:
/// limit at which a point is considered as complitely broken
Real damage_limit;
/// internal pointer to the current damage vector
const Array<Real> * selected_damage;
};
/* -------------------------------------------------------------------------- */
/* Remove damaged with damage rate weight function */
/* -------------------------------------------------------------------------- */
template<UInt spatial_dimension>
class RemoveDamagedWithDamageRateWeightFunction : public BaseWeightFunction<spatial_dimension> {
public:
RemoveDamagedWithDamageRateWeightFunction(Material & material) : BaseWeightFunction<spatial_dimension>(material, "remove_damage_with_damage_rate") {
this->registerParam("damage_limit", this->damage_limit_with_damage_rate, 1, _pat_parsable, "Damage Threshold");
}
inline void selectType(__attribute__((unused)) ElementType type1,
__attribute__((unused)) GhostType ghost_type1,
ElementType type2,
GhostType ghost_type2) {
selected_damage_with_damage_rate = &(this->material.getArray("damage",type2, ghost_type2));
selected_damage_rate_with_damage_rate = &(this->material.getArray("damage-rate",type2, ghost_type2));
}
inline Real operator()(Real r,
const __attribute__((unused)) QuadraturePoint & q1,
const QuadraturePoint & q2) {
UInt quad = q2.global_num;
if(q1.global_num == quad) return 1.;
Real D = (*selected_damage_with_damage_rate)(quad);
Real w = 0.;
Real alphaexp = 1.;
Real betaexp = 2.;
if(D < damage_limit_with_damage_rate) {
Real alpha = std::max(0., 1. - pow((r*r / this->R2),alphaexp));
w = pow(alpha, betaexp);
}
return w;
}
private:
/// limit at which a point is considered as complitely broken
Real damage_limit_with_damage_rate;
/// internal pointer to the current damage vector
const Array<Real> * selected_damage_with_damage_rate;
/// internal pointer to the current damage rate vector
const Array<Real> * selected_damage_rate_with_damage_rate;
};
/* -------------------------------------------------------------------------- */
/* Stress Based Weight */
/* -------------------------------------------------------------------------- */
template<UInt spatial_dimension>
class StressBasedWeightFunction : public BaseWeightFunction<spatial_dimension> {
public:
StressBasedWeightFunction(Material & material);
void init();
virtual void updateInternals(__attribute__((unused)) const ElementTypeMapArray<Real> & quadrature_points_coordinates) {
updatePrincipalStress(_not_ghost);
updatePrincipalStress(_ghost);
};
void updatePrincipalStress(GhostType ghost_type);
inline void updateQuadraturePointsCoordinates(ElementTypeMapArray<Real> & quadrature_points_coordinates);
inline void selectType(ElementType type1, GhostType ghost_type1,
ElementType type2, GhostType ghost_type2);
inline Real operator()(Real r,
const QuadraturePoint & q1,
const QuadraturePoint & q2);
inline Real computeRhoSquare(Real r,
Vector<Real> & eigs,
Matrix<Real> & eigenvects,
Vector<Real> & x_s);
private:
Real ft;
InternalField<Real> stress_diag;
Array<Real> * selected_stress_diag;
InternalField<Real> stress_base;
Array<Real> * selected_stress_base;
// InternalField<Real> quadrature_points_coordinates;
Array<Real> * selected_position_1;
Array<Real> * selected_position_2;
InternalField<Real> characteristic_size;
Array<Real> * selected_characteristic_size;
};
template<UInt spatial_dimension>
inline std::ostream & operator <<(std::ostream & stream,
const BaseWeightFunction<spatial_dimension> & _this)
{
_this.printself(stream);
return stream;
}
#include "weight_function_tmpl.hh"
__END_AKANTU__
#endif /* __AKANTU_WEIGHT_FUNCTION_HH__ */

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