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material_cohesive_linear.hh
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rAKA akantu
material_cohesive_linear.hh
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/**
* @file material_cohesive_linear.hh
*
* @author Mauro Corrado <mauro.corrado@epfl.ch>
* @author Nicolas Richart <nicolas.richart@epfl.ch>
* @author Marco Vocialta <marco.vocialta@epfl.ch>
*
* @date creation: Fri Jun 18 2010
* @date last modification: Wed Feb 21 2018
*
* @brief Linear irreversible cohesive law of mixed mode loading with
* random stress definition for extrinsic type
*
*
* 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 "material_cohesive.hh"
/* -------------------------------------------------------------------------- */
#ifndef AKANTU_MATERIAL_COHESIVE_LINEAR_HH_
#define AKANTU_MATERIAL_COHESIVE_LINEAR_HH_
namespace
akantu
{
/**
* Cohesive material linear damage for extrinsic case
*
* parameters in the material files :
* - sigma_c : critical stress sigma_c (default: 0)
* - beta : weighting parameter for sliding and normal opening (default:
* 0)
* - G_cI : fracture energy for mode I (default: 0)
* - G_cII : fracture energy for mode II (default: 0)
* - penalty : stiffness in compression to prevent penetration
*/
template
<
UInt
spatial_dimension
>
class
MaterialCohesiveLinear
:
public
MaterialCohesive
{
/* ------------------------------------------------------------------------ */
/* Constructors/Destructors */
/* ------------------------------------------------------------------------ */
public
:
MaterialCohesiveLinear
(
SolidMechanicsModel
&
model
,
const
ID
&
id
=
""
);
/* ------------------------------------------------------------------------ */
/* Methods */
/* ------------------------------------------------------------------------ */
public
:
/// initialize the material parameters
void
initMaterial
()
override
;
void
updateInternalParameters
()
override
;
/// check stress for cohesive elements' insertion
void
checkInsertion
(
bool
check_only
=
false
)
override
;
/// compute effective stress norm for insertion check
Real
computeEffectiveNorm
(
const
Matrix
<
Real
>
&
stress
,
const
Vector
<
Real
>
&
normal
,
const
Vector
<
Real
>
&
tangent
,
Vector
<
Real
>
&
normal_traction
)
const
;
protected
:
/// constitutive law
void
computeTraction
(
const
Array
<
Real
>
&
normal
,
ElementType
el_type
,
GhostType
ghost_type
=
_not_ghost
)
override
;
/// compute tangent stiffness matrix
void
computeTangentTraction
(
ElementType
el_type
,
Array
<
Real
>
&
tangent_matrix
,
const
Array
<
Real
>
&
normal
,
GhostType
ghost_type
)
override
;
/**
* Scale insertion traction sigma_c according to the volume of the
* two elements surrounding a facet
*
* see the article: F. Zhou and J. F. Molinari "Dynamic crack
* propagation with cohesive elements: a methodology to address mesh
* dependency" International Journal for Numerical Methods in
* Engineering (2004)
*/
void
scaleInsertionTraction
();
/// compute the traction for a given quadrature point
inline
void
computeTractionOnQuad
(
Vector
<
Real
>
&
traction
,
Vector
<
Real
>
&
opening
,
const
Vector
<
Real
>
&
normal
,
Real
&
delta_max
,
const
Real
&
delta_c
,
const
Vector
<
Real
>
&
insertion_stress
,
const
Real
&
sigma_c
,
Vector
<
Real
>
&
normal_opening
,
Vector
<
Real
>
&
tangential_opening
,
Real
&
normal_opening_norm
,
Real
&
tangential_opening_norm
,
Real
&
damage
,
bool
&
penetration
,
Vector
<
Real
>
&
contact_traction
,
Vector
<
Real
>
&
contact_opening
);
inline
void
computeTangentTractionOnQuad
(
Matrix
<
Real
>
&
tangent
,
Real
&
delta_max
,
const
Real
&
delta_c
,
const
Real
&
sigma_c
,
Vector
<
Real
>
&
opening
,
const
Vector
<
Real
>
&
normal
,
Vector
<
Real
>
&
normal_opening
,
Vector
<
Real
>
&
tangential_opening
,
Real
&
normal_opening_norm
,
Real
&
tangential_opening_norm
,
Real
&
damage
,
bool
&
penetration
,
Vector
<
Real
>
&
contact_opening
);
/* ------------------------------------------------------------------------ */
/* Accessors */
/* ------------------------------------------------------------------------ */
public
:
/// get sigma_c_eff
AKANTU_GET_MACRO_BY_ELEMENT_TYPE_CONST
(
InsertionTraction
,
sigma_c_eff
,
Real
);
/* ------------------------------------------------------------------------ */
/* Class Members */
/* ------------------------------------------------------------------------ */
protected
:
/// beta parameter
Real
beta
;
/// beta square inverse to compute effective norm
Real
beta2_inv
;
/// mode I fracture energy
Real
G_c
;
/// kappa parameter
Real
kappa
;
/// constitutive law scalar to compute delta
Real
beta2_kappa2
;
/// constitutive law scalar to compute traction
Real
beta2_kappa
;
/// penalty coefficient
Real
penalty
;
/// reference volume used to scale sigma_c
Real
volume_s
;
/// weibull exponent used to scale sigma_c
Real
m_s
;
/// variable defining if we are recomputing the last loading step
/// after load_reduction
bool
recompute
;
/// critical effective stress
RandomInternalField
<
Real
,
CohesiveInternalField
>
sigma_c_eff
;
/// effective critical displacement (each element can have a
/// different value)
CohesiveInternalField
<
Real
>
delta_c_eff
;
/// stress at insertion
CohesiveInternalField
<
Real
>
insertion_stress
;
/// variable saying if there should be penalty contact also after
/// breaking the cohesive elements
bool
contact_after_breaking
;
/// insertion of cohesive element when stress is high enough just on
/// one quadrature point
bool
max_quad_stress_insertion
;
};
/* -------------------------------------------------------------------------- */
/* inline functions */
/* -------------------------------------------------------------------------- */
}
// namespace akantu
#include "material_cohesive_linear_inline_impl.hh"
#endif
/* AKANTU_MATERIAL_COHESIVE_LINEAR_HH_ */
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