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material_viscoelastic_maxwell.cc
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/**
* @file material_viscoelastic_maxwell.hh
*
* @author Emil Gallyamov <emil.gallyamov@epfl.ch>
*
* @date creation: Tue May 08 2018
* @date last modification: Tue May 08 2018
*
* @brief Material Visco-elastic, based on Maxwell chain,
* see
* [] R. de Borst and A.H. van den Boogaard "Finite-element modeling of
* deformation and cracking in early-age concrete", J.Eng.Mech., 1994
* as well as
* [] Manual of DIANA FEA Theory manual v.10.2 Section 37.6
*
* @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 "material_viscoelastic_maxwell.hh"
#include "solid_mechanics_model.hh"
namespace akantu {
/* -------------------------------------------------------------------------- */
template <UInt spatial_dimension>
MaterialViscoelasticMaxwell<spatial_dimension>::MaterialViscoelasticMaxwell(
SolidMechanicsModel & model, const ID & id)
: MaterialElastic<spatial_dimension>(model, id),
C(voigt_h::size, voigt_h::size), D(voigt_h::size, voigt_h::size),
sigma_v("sigma_v", *this), epsilon_v("epsilon_v", *this),
dissipated_energy("dissipated_energy", *this),
mechanical_work("mechanical_work", *this) {
AKANTU_DEBUG_IN();
this->registerParam("Einf", Einf, Real(1.), _pat_parsable | _pat_modifiable,
"Stiffness of the elastic element");
this->registerParam("previous_dt", previous_dt, Real(0.), _pat_readable,
"Time step of previous solveStep");
this->registerParam("Eta", Eta, _pat_parsable | _pat_modifiable,
"Viscosity of a Maxwell element");
this->registerParam("Ev", Ev, _pat_parsable | _pat_modifiable,
"Stiffness of a Maxwell element");
this->update_variable_flag = true;
this->use_previous_stress = true;
this->use_previous_gradu = true;
this->use_previous_stress_thermal = true;
this->dissipated_energy.initialize(1);
this->mechanical_work.initialize(1);
AKANTU_DEBUG_OUT();
}
/* -------------------------------------------------------------------------- */
template <UInt spatial_dimension>
void MaterialViscoelasticMaxwell<spatial_dimension>::initMaterial() {
AKANTU_DEBUG_IN();
this->E = Einf + Ev.norm<L_1>();
// this->E = std::min(this->Einf, this->Ev(0));
MaterialElastic<spatial_dimension>::initMaterial();
AKANTU_DEBUG_ASSERT(this->Eta.size() == this->Ev.size(), "Eta and Ev have different dimensions! Please correct.");
AKANTU_DEBUG_ASSERT(!this->finite_deformation, "Current material works only in infinitesimal deformations.");
UInt stress_size = spatial_dimension * spatial_dimension;
this->sigma_v.initialize(stress_size * this->Ev.size());
this->epsilon_v.initialize(stress_size * this->Ev.size());
AKANTU_DEBUG_OUT();
}
/* -------------------------------------------------------------------------- */
template <UInt spatial_dimension>
void MaterialViscoelasticMaxwell<
spatial_dimension>::updateInternalParameters() {
MaterialElastic<spatial_dimension>::updateInternalParameters();
Real pre_mult = 1 / (1 + this->nu) / (1 - 2 * this->nu);
UInt n = voigt_h::size;
Real Miiii = pre_mult * (1 - this->nu);
Real Miijj = pre_mult * this->nu;
Real Mijij = pre_mult * 0.5 * (1 - 2 * this->nu);
Real Diiii = 1;
Real Diijj = -this->nu;
Real Dijij = (2 + 2 * this->nu);
if (spatial_dimension == 1) {
C(0, 0) = 1;
D(0, 0) = 1;
} else {
C(0, 0) = Miiii;
D(0, 0) = Diiii;
}
if (spatial_dimension >= 2) {
C(1, 1) = Miiii;
C(0, 1) = Miijj;
C(1, 0) = Miijj;
C(n - 1, n - 1) = Mijij;
D(1, 1) = Diiii;
D(0, 1) = Diijj;
D(1, 0) = Diijj;
D(n - 1, n - 1) = Dijij;
}
if (spatial_dimension == 3) {
C(2, 2) = Miiii;
C(0, 2) = Miijj;
C(1, 2) = Miijj;
C(2, 0) = Miijj;
C(2, 1) = Miijj;
C(3, 3) = Mijij;
C(4, 4) = Mijij;
D(2, 2) = Diiii;
D(0, 2) = Diijj;
D(1, 2) = Diijj;
D(2, 0) = Diijj;
D(2, 1) = Diijj;
D(3, 3) = Dijij;
D(4, 4) = Dijij;
}
}
/* -------------------------------------------------------------------------- */
template <> void MaterialViscoelasticMaxwell<2>::updateInternalParameters() {
MaterialElastic<2>::updateInternalParameters();
Real pre_mult = 1 / (1 + this->nu) / (1 - 2 * this->nu);
UInt n = voigt_h::size;
Real Miiii = pre_mult * (1 - this->nu);
Real Miijj = pre_mult * this->nu;
Real Mijij = pre_mult * 0.5 * (1 - 2 * this->nu);
Real Diiii = 1;
Real Diijj = -this->nu;
Real Dijij = (2 + 2 * this->nu);
C(0, 0) = Miiii;
C(1, 1) = Miiii;
C(0, 1) = Miijj;
C(1, 0) = Miijj;
C(n - 1, n - 1) = Mijij;
D(0, 0) = Diiii;
D(1, 1) = Diiii;
D(0, 1) = Diijj;
D(1, 0) = Diijj;
D(n - 1, n - 1) = Dijij;
}
/* -------------------------------------------------------------------------- */
template <UInt spatial_dimension>
void MaterialViscoelasticMaxwell<spatial_dimension>::computeStress(
ElementType el_type, GhostType ghost_type) {
AKANTU_DEBUG_IN();
MaterialThermal<spatial_dimension>::computeStress(el_type, ghost_type);
auto sigma_th_it = this->sigma_th(el_type, ghost_type).begin();
auto previous_gradu_it = this->gradu.previous(el_type, ghost_type)
.begin(spatial_dimension, spatial_dimension);
auto previous_stress_it = this->stress.previous(el_type, ghost_type)
.begin(spatial_dimension, spatial_dimension);
auto sigma_v_it = this->sigma_v(el_type, ghost_type)
.begin(spatial_dimension, spatial_dimension, this->Eta.size());
MATERIAL_STRESS_QUADRATURE_POINT_LOOP_BEGIN(el_type, ghost_type);
computeStressOnQuad(grad_u, *previous_gradu_it, sigma, *sigma_v_it,
*sigma_th_it);
++sigma_th_it;
++previous_gradu_it;
++sigma_v_it;
MATERIAL_STRESS_QUADRATURE_POINT_LOOP_END;
AKANTU_DEBUG_OUT();
}
/* -------------------------------------------------------------------------- */
template <UInt spatial_dimension>
void MaterialViscoelasticMaxwell<spatial_dimension>::computeStressOnQuad(
const Matrix<Real> & grad_u, const Matrix<Real> & previous_grad_u,
Matrix<Real> & sigma, Tensor3<Real> & sigma_v, const Real & sigma_th) {
// Wikipedia convention:
// 2*eps_ij (i!=j) = voigt_eps_I
// http://en.wikipedia.org/wiki/Voigt_notation
Vector<Real> voigt_current_strain(voigt_h::size);
Vector<Real> voigt_previous_strain(voigt_h::size);
Vector<Real> voigt_stress(voigt_h::size);
Vector<Real> voigt_sigma_v(voigt_h::size);
for (UInt I = 0; I < voigt_h::size; ++I) {
Real voigt_factor = voigt_h::factors[I];
UInt i = voigt_h::vec[I][0];
UInt j = voigt_h::vec[I][1];
voigt_current_strain(I) =
voigt_factor * (grad_u(i, j) + grad_u(j, i)) / 2.;
voigt_previous_strain(I) =
voigt_factor * (previous_grad_u(i, j) + previous_grad_u(j, i)) / 2.;
}
voigt_stress =
this->Einf * this->C * voigt_current_strain;
Real dt = this->model.getTimeStep();
for (UInt k = 0; k < Eta.size(); ++k) {
Real lambda = this->Eta(k) / this->Ev(k);
Real exp_dt_lambda = exp(-dt / lambda);
Real E_additional;
if (exp_dt_lambda == 1) {
E_additional = this->Ev(k);
} else {
E_additional = (1 - exp_dt_lambda) * this->Ev(k) * lambda / dt;
}
for (UInt I = 0; I < voigt_h::size; ++I) {
UInt i = voigt_h::vec[I][0];
UInt j = voigt_h::vec[I][1];
voigt_sigma_v(I) = sigma_v(i, j, k);
}
voigt_stress += E_additional * this->C *
(voigt_current_strain - voigt_previous_strain) +
exp_dt_lambda * voigt_sigma_v;
}
for (UInt I = 0; I < voigt_h::size; ++I) {
UInt i = voigt_h::vec[I][0];
UInt j = voigt_h::vec[I][1];
sigma(i, j) = sigma(j, i) =
voigt_stress(I) + (i == j) * sigma_th;
}
}
/* -------------------------------------------------------------------------- */
template <UInt spatial_dimension>
void MaterialViscoelasticMaxwell<spatial_dimension>::computePotentialEnergy(
ElementType el_type, GhostType ghost_type) {
AKANTU_DEBUG_IN();
MaterialThermal<spatial_dimension>::computePotentialEnergy(el_type,
ghost_type);
if (ghost_type != _not_ghost)
return;
auto epot = this->potential_energy(el_type, ghost_type).begin();
auto sigma_v_it = this->sigma_v(el_type, ghost_type)
.begin(spatial_dimension, spatial_dimension, this->Eta.size());
auto epsilon_v_it = this->epsilon_v(el_type, ghost_type)
.begin(spatial_dimension, spatial_dimension, this->Eta.size());
MATERIAL_STRESS_QUADRATURE_POINT_LOOP_BEGIN(el_type, ghost_type);
this->computePotentialEnergyOnQuad(grad_u, *epot, *sigma_v_it, *epsilon_v_it);
++epot;
++sigma_v_it;
++epsilon_v_it;
MATERIAL_STRESS_QUADRATURE_POINT_LOOP_END;
AKANTU_DEBUG_OUT();
}
/* -------------------------------------------------------------------------- */
template <UInt spatial_dimension>
void MaterialViscoelasticMaxwell<spatial_dimension>::computePotentialEnergyOnQuad(
const Matrix<Real> & grad_u, Real & epot,
Tensor3<Real> & sigma_v, Tensor3<Real> & epsilon_v) {
Vector<Real> voigt_strain(voigt_h::size);
Vector<Real> voigt_stress(voigt_h::size);
Vector<Real> voigt_sigma_v(voigt_h::size);
for (UInt I = 0; I < voigt_h::size; ++I) {
Real voigt_factor = voigt_h::factors[I];
UInt i = voigt_h::vec[I][0];
UInt j = voigt_h::vec[I][1];
voigt_strain(I) =
voigt_factor * (grad_u(i, j) + grad_u(j, i)) / 2.;
}
voigt_stress = this->Einf * this->C * voigt_strain;
epot = 0.5 * voigt_stress.dot(voigt_strain);
for (UInt k = 0; k < this->Eta.size(); ++k) {
Matrix<Real> stress_v = sigma_v(k);
Matrix<Real> strain_v = epsilon_v(k);
epot += 0.5 * stress_v.doubleDot(strain_v);
}
}
/* -------------------------------------------------------------------------- */
template <UInt spatial_dimension>
void MaterialViscoelasticMaxwell<spatial_dimension>::afterSolveStep() {
Material::afterSolveStep();
for (auto & el_type : this->element_filter.elementTypes(
_all_dimensions, _not_ghost, _ek_not_defined)) {
if (this->update_variable_flag) {
auto previous_gradu_it = this->gradu.previous(el_type, _not_ghost)
.begin(spatial_dimension, spatial_dimension);
auto sigma_v_it = this->sigma_v(el_type, _not_ghost)
.begin(spatial_dimension, spatial_dimension, this->Eta.size());
auto epsilon_v_it = this->epsilon_v(el_type, _not_ghost)
.begin(spatial_dimension, spatial_dimension, this->Eta.size());
MATERIAL_STRESS_QUADRATURE_POINT_LOOP_BEGIN(el_type, _not_ghost);
updateIntVarOnQuad(grad_u, *previous_gradu_it, *sigma_v_it, *epsilon_v_it);
++previous_gradu_it;
++sigma_v_it;
++epsilon_v_it;
MATERIAL_STRESS_QUADRATURE_POINT_LOOP_END;
}
this->updateDissipatedEnergy(el_type, _not_ghost);
}
}
/* -------------------------------------------------------------------------- */
template <UInt spatial_dimension>
void MaterialViscoelasticMaxwell<spatial_dimension>::updateIntVarOnQuad(
const Matrix<Real> & grad_u, const Matrix<Real> & previous_grad_u,
Tensor3<Real> & sigma_v, Tensor3<Real> & epsilon_v) {
Matrix<Real> grad_delta_u(grad_u);
grad_delta_u -= previous_grad_u;
Real dt = this->model.getTimeStep();
Vector<Real> voigt_delta_strain(voigt_h::size);
for (UInt I = 0; I < voigt_h::size; ++I) {
Real voigt_factor = voigt_h::factors[I];
UInt i = voigt_h::vec[I][0];
UInt j = voigt_h::vec[I][1];
voigt_delta_strain(I) =
voigt_factor * (grad_delta_u(i, j) + grad_delta_u(j, i)) / 2.;
}
for (UInt k = 0; k < this->Eta.size(); ++k) {
Real lambda = this->Eta(k) / this->Ev(k);
Real exp_dt_lambda = exp(-dt / lambda);
Real E_ef_v;
if (exp_dt_lambda == 1) {
E_ef_v = this->Ev(k);
} else {
E_ef_v = (1 - exp_dt_lambda) * this->Ev(k) * lambda / dt;
}
Vector<Real> voigt_sigma_v(voigt_h::size);
Vector<Real> voigt_epsilon_v(voigt_h::size);
for (UInt I = 0; I < voigt_h::size; ++I) {
UInt i = voigt_h::vec[I][0];
UInt j = voigt_h::vec[I][1];
voigt_sigma_v(I) = sigma_v(i, j, k);
}
voigt_sigma_v =
exp_dt_lambda * voigt_sigma_v + E_ef_v * this->C * voigt_delta_strain;
voigt_epsilon_v = 1/Ev(k) * this->D * voigt_sigma_v;
for (UInt I = 0; I < voigt_h::size; ++I) {
UInt i = voigt_h::vec[I][0];
UInt j = voigt_h::vec[I][1];
sigma_v(i, j, k) = sigma_v(j, i, k) = voigt_sigma_v(I);
epsilon_v(i, j, k) = epsilon_v(j, i, k) = voigt_epsilon_v(I);
}
}
}
/* -------------------------------------------------------------------------- */
template <UInt spatial_dimension>
void MaterialViscoelasticMaxwell<spatial_dimension>::computeTangentModuli(
const ElementType & el_type, Array<Real> & tangent_matrix,
GhostType ghost_type) {
AKANTU_DEBUG_IN();
Real dt = this->model.getTimeStep();
Real E_ef = this->Einf;
for (UInt k = 0; k < Eta.size(); ++k) {
Real lambda = this->Eta(k) / this->Ev(k);
Real exp_dt_lambda = exp(-dt / lambda);
if (exp_dt_lambda == 1) {
E_ef += this->Ev(k);
} else {
E_ef += (1 - exp_dt_lambda) * this->Ev(k) * lambda / dt;
}
}
this->previous_dt = dt;
MATERIAL_TANGENT_QUADRATURE_POINT_LOOP_BEGIN(tangent_matrix);
this->computeTangentModuliOnQuad(tangent);
MATERIAL_TANGENT_QUADRATURE_POINT_LOOP_END;
tangent_matrix *= E_ef;
this->was_stiffness_assembled = true;
AKANTU_DEBUG_OUT();
}
/* -------------------------------------------------------------------------- */
template <UInt spatial_dimension>
void MaterialViscoelasticMaxwell<spatial_dimension>::computeTangentModuliOnQuad(
Matrix<Real> & tangent) {
tangent.copy(C);
}
/* -------------------------------------------------------------------------- */
template <UInt spatial_dimension>
void MaterialViscoelasticMaxwell<spatial_dimension>::savePreviousState() {
for (auto & el_type : this->element_filter.elementTypes(
_all_dimensions, _not_ghost, _ek_not_defined)) {
auto sigma_th_it = this->sigma_th(el_type, _not_ghost).begin();
auto previous_sigma_th_it =
this->sigma_th.previous(el_type, _not_ghost).begin();
auto previous_gradu_it = this->gradu.previous(el_type, _not_ghost)
.begin(spatial_dimension, spatial_dimension);
auto previous_sigma_it = this->stress.previous(el_type, _not_ghost)
.begin(spatial_dimension, spatial_dimension);
auto sigma_v_it = this->sigma_v(el_type, _not_ghost)
.begin(spatial_dimension, spatial_dimension, this->Eta.size());
MATERIAL_STRESS_QUADRATURE_POINT_LOOP_BEGIN(el_type, _not_ghost);
auto & previous_grad_u = *previous_gradu_it;
auto & previous_sigma = *previous_sigma_it;
previous_grad_u.copy(grad_u);
previous_sigma.copy(sigma);
*previous_sigma_th_it = *sigma_th_it;
++previous_gradu_it, ++previous_sigma_it, ++previous_sigma_th_it,
++sigma_v_it, ++sigma_th_it;
MATERIAL_STRESS_QUADRATURE_POINT_LOOP_END;
}
}
/* -------------------------------------------------------------------------- */
template <UInt spatial_dimension>
void MaterialViscoelasticMaxwell<spatial_dimension>::updateIntVariables() {
for (auto & el_type : this->element_filter.elementTypes(
_all_dimensions, _not_ghost, _ek_not_defined)) {
auto previous_gradu_it = this->gradu.previous(el_type, _not_ghost)
.begin(spatial_dimension, spatial_dimension);
auto previous_sigma_it = this->stress.previous(el_type, _not_ghost)
.begin(spatial_dimension, spatial_dimension);
auto sigma_v_it = this->sigma_v(el_type, _not_ghost)
.begin(spatial_dimension, spatial_dimension, this->Eta.size());
auto epsilon_v_it = this->epsilon_v(el_type, _not_ghost)
.begin(spatial_dimension, spatial_dimension, this->Eta.size());
MATERIAL_STRESS_QUADRATURE_POINT_LOOP_BEGIN(el_type, _not_ghost);
updateIntVarOnQuad(grad_u, *previous_gradu_it, *sigma_v_it, *epsilon_v_it);
++previous_gradu_it;
++sigma_v_it;
++epsilon_v_it;
MATERIAL_STRESS_QUADRATURE_POINT_LOOP_END;
}
}
/* -------------------------------------------------------------------------- */
template <UInt spatial_dimension>
void MaterialViscoelasticMaxwell<spatial_dimension>::updateDissipatedEnergy(
ElementType el_type, GhostType ghost_type) {
AKANTU_DEBUG_IN();
if (ghost_type != _not_ghost)
return;
this->computePotentialEnergy(el_type, ghost_type);
auto epot = this->potential_energy(el_type, ghost_type).begin();
auto dis_energy = this->dissipated_energy(el_type, ghost_type).begin();
auto mech_work = this->mechanical_work(el_type, ghost_type).begin();
auto sigma_v_it = this->sigma_v(el_type, ghost_type)
.begin(spatial_dimension, spatial_dimension, this->Eta.size());
auto epsilon_v_it = this->epsilon_v(el_type, ghost_type)
.begin(spatial_dimension, spatial_dimension, this->Eta.size());
auto previous_gradu_it = this->gradu.previous(el_type, ghost_type)
.begin(spatial_dimension, spatial_dimension);
auto previous_sigma_it = this->stress.previous(el_type, ghost_type)
.begin(spatial_dimension, spatial_dimension);
/// Loop on all quadrature points
MATERIAL_STRESS_QUADRATURE_POINT_LOOP_BEGIN(el_type, ghost_type);
updateDissipatedEnergyOnQuad(grad_u, *previous_gradu_it, sigma,
*previous_sigma_it, *dis_energy, *mech_work, *epot);
++previous_gradu_it;
++previous_sigma_it;
++dis_energy;
++mech_work;
++epot;
MATERIAL_STRESS_QUADRATURE_POINT_LOOP_END;
AKANTU_DEBUG_OUT();
}
/* -------------------------------------------------------------------------- */
template <UInt spatial_dimension>
void MaterialViscoelasticMaxwell<spatial_dimension>::updateDissipatedEnergyOnQuad(
const Matrix<Real> & grad_u, const Matrix<Real> & previous_grad_u,
const Matrix<Real> & sigma, const Matrix<Real> & previous_sigma,
Real & dis_energy, Real & mech_work, const Real & pot_energy) {
Real dt = this->model.getTimeStep();
Matrix<Real> strain_rate = grad_u;
strain_rate -= previous_grad_u;
strain_rate /= dt;
Matrix<Real> av_stress = sigma;
av_stress += previous_sigma;
av_stress /= 2;
mech_work += av_stress.doubleDot(strain_rate) * dt;
dis_energy = mech_work - pot_energy;
}
/* -------------------------------------------------------------------------- */
template <UInt spatial_dimension>
Real MaterialViscoelasticMaxwell<spatial_dimension>::getDissipatedEnergy()
const {
AKANTU_DEBUG_IN();
Real de = 0.;
/// integrate the dissipated energy for each type of elements
for (auto & type :
this->element_filter.elementTypes(spatial_dimension, _not_ghost)) {
de +=
this->fem.integrate(this->dissipated_energy(type, _not_ghost), type,
_not_ghost, this->element_filter(type, _not_ghost));
}
AKANTU_DEBUG_OUT();
return de;
}
/* -------------------------------------------------------------------------- */
template <UInt spatial_dimension>
Real MaterialViscoelasticMaxwell<spatial_dimension>::getDissipatedEnergy(
ElementType type, UInt index) const {
AKANTU_DEBUG_IN();
UInt nb_quadrature_points = this->fem.getNbIntegrationPoints(type);
auto it =
this->dissipated_energy(type, _not_ghost).begin(nb_quadrature_points);
UInt gindex = (this->element_filter(type, _not_ghost))(index);
AKANTU_DEBUG_OUT();
return this->fem.integrate(it[index], type, gindex);
}
/* -------------------------------------------------------------------------- */
template <UInt spatial_dimension>
Real MaterialViscoelasticMaxwell<spatial_dimension>::getMechanicalWork()
const {
AKANTU_DEBUG_IN();
Real mw = 0.;
/// integrate the dissipated energy for each type of elements
for (auto & type :
this->element_filter.elementTypes(spatial_dimension, _not_ghost)) {
mw +=
this->fem.integrate(this->mechanical_work(type, _not_ghost), type,
_not_ghost, this->element_filter(type, _not_ghost));
}
AKANTU_DEBUG_OUT();
return mw;
}
/* -------------------------------------------------------------------------- */
template <UInt spatial_dimension>
Real MaterialViscoelasticMaxwell<spatial_dimension>::getMechanicalWork(
ElementType type, UInt index) const {
AKANTU_DEBUG_IN();
UInt nb_quadrature_points = this->fem.getNbIntegrationPoints(type);
auto it =
this->mechanical_work(type, _not_ghost).begin(nb_quadrature_points);
UInt gindex = (this->element_filter(type, _not_ghost))(index);
AKANTU_DEBUG_OUT();
return this->fem.integrate(it[index], type, gindex);
}
/* -------------------------------------------------------------------------- */
template <UInt spatial_dimension>
Real MaterialViscoelasticMaxwell<spatial_dimension>::getPotentialEnergy()
const {
AKANTU_DEBUG_IN();
Real epot = 0.;
/// integrate the dissipated energy for each type of elements
for (auto & type :
this->element_filter.elementTypes(spatial_dimension, _not_ghost)) {
epot +=
this->fem.integrate(this->potential_energy(type, _not_ghost), type,
_not_ghost, this->element_filter(type, _not_ghost));
}
AKANTU_DEBUG_OUT();
return epot;
}
/* -------------------------------------------------------------------------- */
template <UInt spatial_dimension>
Real MaterialViscoelasticMaxwell<spatial_dimension>::getPotentialEnergy(
ElementType type, UInt index) const {
AKANTU_DEBUG_IN();
UInt nb_quadrature_points = this->fem.getNbIntegrationPoints(type);
auto it =
this->potential_energy(type, _not_ghost).begin(nb_quadrature_points);
UInt gindex = (this->element_filter(type, _not_ghost))(index);
AKANTU_DEBUG_OUT();
return this->fem.integrate(it[index], type, gindex);
}
/* -------------------------------------------------------------------------- */
template <UInt spatial_dimension>
Real MaterialViscoelasticMaxwell<spatial_dimension>::getEnergy(
const std::string & type) {
if (type == "dissipated")
return getDissipatedEnergy();
else if (type == "potential")
return getPotentialEnergy();
else if (type == "work")
return getMechanicalWork();
else
return MaterialElastic<spatial_dimension>::getEnergy(type);
}
/* -------------------------------------------------------------------------- */
template <UInt spatial_dimension>
Real MaterialViscoelasticMaxwell<spatial_dimension>::getEnergy(
const std::string & energy_id, ElementType type, UInt index) {
if (energy_id == "dissipated")
return getDissipatedEnergy(type, index);
else if (energy_id == "potential")
return getPotentialEnergy(type, index);
else if (energy_id == "work")
return getMechanicalWork(type, index);
else
return MaterialElastic<spatial_dimension>::getEnergy(energy_id, type,
index);
}
/* -------------------------------------------------------------------------- */
template <UInt spatial_dimension>
void MaterialViscoelasticMaxwell<spatial_dimension>::forceUpdateVariable() {
update_variable_flag = true;
}
/* -------------------------------------------------------------------------- */
template <UInt spatial_dimension>
void MaterialViscoelasticMaxwell<spatial_dimension>::forceNotUpdateVariable() {
update_variable_flag = false;
}
/* -------------------------------------------------------------------------- */
INSTANTIATE_MATERIAL(viscoelastic_maxwell, MaterialViscoelasticMaxwell);
} // namespace akantu
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