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rAKA akantu
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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