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diff --git a/docs/examples/DynamicsDiagonalPeriodic/laminate/eta=00.10__alpha=0.00/CMakeLists.txt b/docs/examples/DynamicsDiagonalPeriodic/laminate/eta=00.10__alpha=0.00/CMakeLists.txt
new file mode 100644
index 0000000..e69c369
--- /dev/null
+++ b/docs/examples/DynamicsDiagonalPeriodic/laminate/eta=00.10__alpha=0.00/CMakeLists.txt
@@ -0,0 +1,43 @@
+cmake_minimum_required(VERSION 3.1)
+
+# define a project name
+project(example)
+
+# set optimization level
+set(CMAKE_BUILD_TYPE Release)
+add_definitions(-DNDEBUG)
+
+# set C++ standard
+set(CMAKE_CXX_STANDARD 14)
+set(CMAKE_CXX_STANDARD_REQUIRED ON)
+set(CMAKE_CXX_EXTENSIONS OFF)
+
+# load pkg-config
+find_package(PkgConfig)
+
+# load HDF5
+find_package(HDF5 COMPONENTS CXX REQUIRED)
+include_directories(${HDF5_INCLUDE_DIRS})
+set(LINK_LIBS ${HDF5_LIBS} ${HDF5_LIBRARIES})
+
+# load header-only modules using pkg-config
+# - cppmat
+pkg_check_modules(CPPMAT REQUIRED cppmat)
+include_directories(${CPPMAT_INCLUDE_DIRS})
+# - GooseFEM
+pkg_check_modules(GOOSEFEM REQUIRED GooseFEM)
+include_directories(${GOOSEFEM_INCLUDE_DIRS})
+# - GooseMaterial
+pkg_check_modules(GOOSEMATERIAL REQUIRED GooseMaterial)
+include_directories(${GOOSEMATERIAL_INCLUDE_DIRS})
+# - eigen3
+pkg_check_modules(EIGEN3 REQUIRED eigen3)
+include_directories(${EIGEN3_INCLUDE_DIRS})
+# - HDF5pp
+pkg_check_modules(HDF5PP REQUIRED HDF5pp)
+include_directories(${HDF5PP_INCLUDE_DIRS})
+
+# create executable
+add_executable(${PROJECT_NAME} main.cpp)
+# link libraries
+target_link_libraries(${PROJECT_NAME} ${LINK_LIBS})
diff --git a/docs/examples/DynamicsDiagonalPeriodic/laminate/eta=00.10__alpha=0.00/example.svg b/docs/examples/DynamicsDiagonalPeriodic/laminate/eta=00.10__alpha=0.00/example.svg
new file mode 100644
index 0000000..f02d665
--- /dev/null
+++ b/docs/examples/DynamicsDiagonalPeriodic/laminate/eta=00.10__alpha=0.00/example.svg
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diff --git a/docs/examples/DynamicsDiagonalPeriodic/laminate/no_damping/velocityVerlet/main.cpp b/docs/examples/DynamicsDiagonalPeriodic/laminate/eta=00.10__alpha=0.00/main.cpp
similarity index 83%
copy from docs/examples/DynamicsDiagonalPeriodic/laminate/no_damping/velocityVerlet/main.cpp
copy to docs/examples/DynamicsDiagonalPeriodic/laminate/eta=00.10__alpha=0.00/main.cpp
index 6c25edb..8bc545f 100644
--- a/docs/examples/DynamicsDiagonalPeriodic/laminate/no_damping/velocityVerlet/main.cpp
+++ b/docs/examples/DynamicsDiagonalPeriodic/laminate/eta=00.10__alpha=0.00/main.cpp
@@ -1,162 +1,176 @@
#include <HDF5pp.h>
#include <Eigen/Eigen>
#include <cppmat/cppmat.h>
#include <GooseFEM/GooseFEM.h>
#include <GooseMaterial/AmorphousSolid/LinearStrain/Elastic/Cartesian2d.h>
// -------------------------------------------------------------------------------------------------
using MatS = GooseFEM::MatS;
using MatD = GooseFEM::MatD;
using ColD = GooseFEM::ColD;
using vec = cppmat::cartesian2d::vector <double>;
using T2 = cppmat::cartesian2d::tensor2 <double>;
using T2s = cppmat::cartesian2d::tensor2s<double>;
using T2d = cppmat::cartesian2d::tensor2d<double>;
namespace GM = GooseMaterial::AmorphousSolid::LinearStrain::Elastic::Cartesian2d;
// =================================================================================================
class Quadrature
{
public:
T2s eps, epsdot, sig;
size_t nhard;
- GM::Material hard, soft;
+ GM::Material hard, soft, rayleigh;
double Ebar, Vbar;
- Quadrature(size_t nhard);
+ Quadrature(size_t nhard, double eta);
double density (size_t elem, size_t k, double V);
void stressStrain (size_t elem, size_t k, double V);
void stressStrainRate (size_t elem, size_t k, double V);
void stressStrainPost (size_t elem, size_t k, double V);
void stressStrainRatePost(size_t elem, size_t k, double V);
};
// -------------------------------------------------------------------------------------------------
-Quadrature::Quadrature(size_t _nhard)
+Quadrature::Quadrature(size_t _nhard, double eta)
{
nhard = _nhard;
hard = GM::Material(100.,10.);
soft = GM::Material(100., 1.);
+ rayleigh = GM::Material(eta ,eta);
}
// -------------------------------------------------------------------------------------------------
double Quadrature::density(size_t elem, size_t k, double V)
{
return 1.0;
}
// -------------------------------------------------------------------------------------------------
void Quadrature::stressStrain(size_t elem, size_t k, double V)
{
if ( elem < nhard ) sig = hard.stress(eps);
else sig = soft.stress(eps);
}
// -------------------------------------------------------------------------------------------------
void Quadrature::stressStrainRate(size_t elem, size_t k, double V)
{
- sig.zeros();
+ sig = rayleigh.stress(epsdot);
}
// -------------------------------------------------------------------------------------------------
void Quadrature::stressStrainPost(size_t elem, size_t k, double V)
{
Vbar += V;
if ( elem < nhard ) Ebar += hard.energy(eps) * V;
else Ebar += soft.energy(eps) * V;
}
// -------------------------------------------------------------------------------------------------
void Quadrature::stressStrainRatePost(size_t elem, size_t k, double V)
{
}
// =================================================================================================
int main()
{
// set simulation parameters
- double T = 20. ; // total time
- double dt = 1.e-2; // time increment
+ double T = 5000.; // total time
+ double dt = 1.e-1; // time increment
size_t nx = 40 ; // number of elements in both directions
double gamma = .05 ; // displacement step
+ double eta = 0.1 ; // damping coefficient
+ double alpha = 0.0 ; // background damping
// class which provides the mesh
- GooseFEM::Mesh::Quad4::Regular mesh(nx,nx,static_cast<double>(nx),static_cast<double>(nx));
+ GooseFEM::Mesh::Quad4::Regular mesh(nx,nx,1.);
// reference node
size_t nodeOrigin = mesh.nodeOrigin();
// class which provides the constitutive response at each quadrature point
- auto quadrature = std::make_shared<Quadrature>(nx*nx/4);
+ auto quadrature = std::make_shared<Quadrature>(nx*nx/4,eta);
// class which provides the response of each element
using Elem = GooseFEM::Dynamics::Diagonal::LinearStrain::Quad4<Quadrature>;
auto elem = std::make_shared<Elem>(quadrature);
// class which provides the system and an increment
GooseFEM::Dynamics::Diagonal::Periodic<Elem> sim(
elem,
mesh.coor(),
mesh.conn(),
mesh.dofsPeriodic(),
dt,
- 0.0
+ alpha
);
// define update in macroscopic deformation gradient
T2 dFbar(0.);
dFbar(0,1) = gamma;
// update the displacement according to the macroscopic deformation gradient update
for ( size_t i = 0 ; i < sim.nnode ; ++i )
for ( size_t j = 0 ; j < sim.ndim ; ++j )
for ( size_t k = 0 ; k < sim.ndim ; ++k )
sim.u(i,j) += dFbar(j,k) * ( sim.x0(i,k) - sim.x0(nodeOrigin,k) );
+ // compute the externally applied strain energy
+ double Eext = std::pow(40.,2.) * (.25*100.+.75*1.) * std::pow(.5*gamma,2.);
+ size_t inc;
+
// output variables
ColD Epot(static_cast<int>(T/dt)); Epot.setZero(); // potential energy
ColD Ekin(static_cast<int>(T/dt)); Ekin.setZero();
ColD t (static_cast<int>(T/dt)); t .setZero();
// loop over increments
- for ( size_t inc = 0 ; inc < static_cast<size_t>(Epot.size()) ; ++inc )
+ for ( inc = 0 ; inc < static_cast<size_t>(Epot.size()) ; ++inc )
{
// - compute increment
sim.velocityVerlet();
// - post: energy based on nodes
// -- store time
t(inc) = sim.t;
// -- kinetic energy
for ( size_t i = 0 ; i < sim.ndof ; ++i )
Ekin(inc) += .5 / sim.Minv(i) * std::pow( sim.V(i) , 2. );
// -- potential energy
quadrature->Ebar = 0.0;
quadrature->Vbar = 0.0;
sim.post();
Epot(inc) = quadrature->Ebar;
+
+ // check stopping criterion
+ if ( inc >= 10 ) if ( Ekin(inc)/Eext < 1.e-6 and Ekin(inc-10)/Eext < 1.e-6 ) break;
}
+ Epot.conservativeResize(inc);
+ Ekin.conservativeResize(inc);
+ t .conservativeResize(inc);
+
// write to output file
H5p::File f = H5p::File("example.hdf5");
f.write("/global/Epot",Epot );
f.write("/global/Ekin",Ekin );
f.write("/global/t" ,t );
f.write("/mesh/coor" ,mesh.coor());
f.write("/mesh/conn" ,mesh.conn());
f.write("/mesh/disp" ,sim.u );
return 0;
}
diff --git a/docs/examples/DynamicsDiagonalPeriodic/laminate/eta=00.10__alpha=0.00/plot.py b/docs/examples/DynamicsDiagonalPeriodic/laminate/eta=00.10__alpha=0.00/plot.py
new file mode 100644
index 0000000..c31473d
--- /dev/null
+++ b/docs/examples/DynamicsDiagonalPeriodic/laminate/eta=00.10__alpha=0.00/plot.py
@@ -0,0 +1,57 @@
+
+import sys,os,re
+import h5py
+import numpy as np
+import matplotlib.pyplot as plt
+import goosempl as gplt
+import matplotlib as mpl
+
+plt.style.use(['goose','goose-latex'])
+
+# --------------------------------------------------------------------------------------------------
+
+name = 'example.hdf5'
+f = h5py.File(name,'r')
+
+fig = plt.figure(figsize=(20,10))
+fig.set_tight_layout(True)
+
+# --------------------------------------------------------------------------------------------------
+
+ax = fig.add_subplot(1,2,1)
+
+t = f['/global/t' ][:]
+Epot = f['/global/Epot'][:]
+Ekin = f['/global/Ekin'][:]
+
+ax.plot(t,Epot+Ekin,color='k',label=r'$E_\mathrm{pot} + E_\mathrm{kin}$')
+ax.plot(t,Epot ,color='r',label=r'$E_\mathrm{pot}$')
+ax.plot(t,Ekin ,color='b',label=r'$E_\mathrm{kin}$')
+
+plt.legend(loc='lower right')
+
+plt.xlabel(r'$t$')
+plt.ylabel(r'$E$')
+
+# --------------------------------------------------------------------------------------------------
+
+ax = fig.add_subplot(1,2,2)
+
+coor = f['/mesh/coor'][:]
+conn = f['/mesh/conn'][:]
+u = f['/mesh/disp'][:]
+
+im = gplt.patch(coor=coor+u,conn=conn)
+
+Lx = np.max(coor[:,0])-np.min(coor[:,0])
+Ly = np.max(coor[:,1])-np.min(coor[:,1])
+
+plt.xlim([-0.1*Lx,1.3*Lx])
+plt.ylim([-0.1*Ly,1.3*Ly])
+
+ax.set_aspect('equal')
+
+plt.savefig(re.sub(r'(.*)(\.hdf5)',r'\1.svg',name))
+plt.show()
+
+
diff --git a/docs/examples/DynamicsDiagonalPeriodic/laminate/eta=00.10__alpha=0.20/CMakeLists.txt b/docs/examples/DynamicsDiagonalPeriodic/laminate/eta=00.10__alpha=0.20/CMakeLists.txt
new file mode 100644
index 0000000..e69c369
--- /dev/null
+++ b/docs/examples/DynamicsDiagonalPeriodic/laminate/eta=00.10__alpha=0.20/CMakeLists.txt
@@ -0,0 +1,43 @@
+cmake_minimum_required(VERSION 3.1)
+
+# define a project name
+project(example)
+
+# set optimization level
+set(CMAKE_BUILD_TYPE Release)
+add_definitions(-DNDEBUG)
+
+# set C++ standard
+set(CMAKE_CXX_STANDARD 14)
+set(CMAKE_CXX_STANDARD_REQUIRED ON)
+set(CMAKE_CXX_EXTENSIONS OFF)
+
+# load pkg-config
+find_package(PkgConfig)
+
+# load HDF5
+find_package(HDF5 COMPONENTS CXX REQUIRED)
+include_directories(${HDF5_INCLUDE_DIRS})
+set(LINK_LIBS ${HDF5_LIBS} ${HDF5_LIBRARIES})
+
+# load header-only modules using pkg-config
+# - cppmat
+pkg_check_modules(CPPMAT REQUIRED cppmat)
+include_directories(${CPPMAT_INCLUDE_DIRS})
+# - GooseFEM
+pkg_check_modules(GOOSEFEM REQUIRED GooseFEM)
+include_directories(${GOOSEFEM_INCLUDE_DIRS})
+# - GooseMaterial
+pkg_check_modules(GOOSEMATERIAL REQUIRED GooseMaterial)
+include_directories(${GOOSEMATERIAL_INCLUDE_DIRS})
+# - eigen3
+pkg_check_modules(EIGEN3 REQUIRED eigen3)
+include_directories(${EIGEN3_INCLUDE_DIRS})
+# - HDF5pp
+pkg_check_modules(HDF5PP REQUIRED HDF5pp)
+include_directories(${HDF5PP_INCLUDE_DIRS})
+
+# create executable
+add_executable(${PROJECT_NAME} main.cpp)
+# link libraries
+target_link_libraries(${PROJECT_NAME} ${LINK_LIBS})
diff --git a/docs/examples/DynamicsDiagonalPeriodic/laminate/eta=00.10__alpha=0.20/example.svg b/docs/examples/DynamicsDiagonalPeriodic/laminate/eta=00.10__alpha=0.20/example.svg
new file mode 100644
index 0000000..5b31f32
--- /dev/null
+++ b/docs/examples/DynamicsDiagonalPeriodic/laminate/eta=00.10__alpha=0.20/example.svg
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diff --git a/docs/examples/DynamicsDiagonalPeriodic/laminate/no_damping/velocityVerlet/main.cpp b/docs/examples/DynamicsDiagonalPeriodic/laminate/eta=00.10__alpha=0.20/main.cpp
similarity index 79%
copy from docs/examples/DynamicsDiagonalPeriodic/laminate/no_damping/velocityVerlet/main.cpp
copy to docs/examples/DynamicsDiagonalPeriodic/laminate/eta=00.10__alpha=0.20/main.cpp
index 6c25edb..d976896 100644
--- a/docs/examples/DynamicsDiagonalPeriodic/laminate/no_damping/velocityVerlet/main.cpp
+++ b/docs/examples/DynamicsDiagonalPeriodic/laminate/eta=00.10__alpha=0.20/main.cpp
@@ -1,162 +1,184 @@
+#define _USE_MATH_DEFINES // to use "M_PI" from "math.h"
+
+#include <math.h>
#include <HDF5pp.h>
#include <Eigen/Eigen>
#include <cppmat/cppmat.h>
#include <GooseFEM/GooseFEM.h>
#include <GooseMaterial/AmorphousSolid/LinearStrain/Elastic/Cartesian2d.h>
// -------------------------------------------------------------------------------------------------
using MatS = GooseFEM::MatS;
using MatD = GooseFEM::MatD;
using ColD = GooseFEM::ColD;
using vec = cppmat::cartesian2d::vector <double>;
using T2 = cppmat::cartesian2d::tensor2 <double>;
using T2s = cppmat::cartesian2d::tensor2s<double>;
using T2d = cppmat::cartesian2d::tensor2d<double>;
namespace GM = GooseMaterial::AmorphousSolid::LinearStrain::Elastic::Cartesian2d;
// =================================================================================================
class Quadrature
{
public:
T2s eps, epsdot, sig;
size_t nhard;
- GM::Material hard, soft;
+ GM::Material hard, soft, rayleigh;
double Ebar, Vbar;
- Quadrature(size_t nhard);
+ Quadrature(size_t nhard, double eta);
double density (size_t elem, size_t k, double V);
void stressStrain (size_t elem, size_t k, double V);
void stressStrainRate (size_t elem, size_t k, double V);
void stressStrainPost (size_t elem, size_t k, double V);
void stressStrainRatePost(size_t elem, size_t k, double V);
};
// -------------------------------------------------------------------------------------------------
-Quadrature::Quadrature(size_t _nhard)
+Quadrature::Quadrature(size_t _nhard, double eta)
{
nhard = _nhard;
hard = GM::Material(100.,10.);
soft = GM::Material(100., 1.);
+ rayleigh = GM::Material(eta ,eta);
}
// -------------------------------------------------------------------------------------------------
double Quadrature::density(size_t elem, size_t k, double V)
{
return 1.0;
}
// -------------------------------------------------------------------------------------------------
void Quadrature::stressStrain(size_t elem, size_t k, double V)
{
if ( elem < nhard ) sig = hard.stress(eps);
else sig = soft.stress(eps);
}
// -------------------------------------------------------------------------------------------------
void Quadrature::stressStrainRate(size_t elem, size_t k, double V)
{
- sig.zeros();
+ sig = rayleigh.stress(epsdot);
}
// -------------------------------------------------------------------------------------------------
void Quadrature::stressStrainPost(size_t elem, size_t k, double V)
{
Vbar += V;
if ( elem < nhard ) Ebar += hard.energy(eps) * V;
else Ebar += soft.energy(eps) * V;
}
// -------------------------------------------------------------------------------------------------
void Quadrature::stressStrainRatePost(size_t elem, size_t k, double V)
{
}
// =================================================================================================
int main()
{
// set simulation parameters
- double T = 20. ; // total time
- double dt = 1.e-2; // time increment
+ double T = 5000.; // total time
+ double dt = 1.e-1; // time increment
size_t nx = 40 ; // number of elements in both directions
double gamma = .05 ; // displacement step
+ double eta = 0.1 ; // damping coefficient
+ double Gbar = 1.0 ; // equivalent shear modulus
+ double rho = 1.0 ; // density
+ // background damping
+ double alpha = std::pow(2.,.5)*2.*M_PI/static_cast<double>(nx)*std::pow(Gbar/rho,.5)*rho;
+ std::cout << alpha << std::endl;
// class which provides the mesh
- GooseFEM::Mesh::Quad4::Regular mesh(nx,nx,static_cast<double>(nx),static_cast<double>(nx));
+ GooseFEM::Mesh::Quad4::Regular mesh(nx,nx,1.);
// reference node
size_t nodeOrigin = mesh.nodeOrigin();
// class which provides the constitutive response at each quadrature point
- auto quadrature = std::make_shared<Quadrature>(nx*nx/4);
+ auto quadrature = std::make_shared<Quadrature>(nx*nx/4,eta);
// class which provides the response of each element
using Elem = GooseFEM::Dynamics::Diagonal::LinearStrain::Quad4<Quadrature>;
auto elem = std::make_shared<Elem>(quadrature);
// class which provides the system and an increment
GooseFEM::Dynamics::Diagonal::Periodic<Elem> sim(
elem,
mesh.coor(),
mesh.conn(),
mesh.dofsPeriodic(),
dt,
- 0.0
+ alpha
);
// define update in macroscopic deformation gradient
T2 dFbar(0.);
dFbar(0,1) = gamma;
// update the displacement according to the macroscopic deformation gradient update
for ( size_t i = 0 ; i < sim.nnode ; ++i )
for ( size_t j = 0 ; j < sim.ndim ; ++j )
for ( size_t k = 0 ; k < sim.ndim ; ++k )
sim.u(i,j) += dFbar(j,k) * ( sim.x0(i,k) - sim.x0(nodeOrigin,k) );
+ // compute the externally applied strain energy
+ double Eext = std::pow(40.,2.) * (.25*100.+.75*1.) * std::pow(.5*gamma,2.);
+ size_t inc;
+
// output variables
ColD Epot(static_cast<int>(T/dt)); Epot.setZero(); // potential energy
ColD Ekin(static_cast<int>(T/dt)); Ekin.setZero();
ColD t (static_cast<int>(T/dt)); t .setZero();
// loop over increments
- for ( size_t inc = 0 ; inc < static_cast<size_t>(Epot.size()) ; ++inc )
+ for ( inc = 0 ; inc < static_cast<size_t>(Epot.size()) ; ++inc )
{
// - compute increment
sim.velocityVerlet();
// - post: energy based on nodes
// -- store time
t(inc) = sim.t;
// -- kinetic energy
for ( size_t i = 0 ; i < sim.ndof ; ++i )
Ekin(inc) += .5 / sim.Minv(i) * std::pow( sim.V(i) , 2. );
// -- potential energy
quadrature->Ebar = 0.0;
quadrature->Vbar = 0.0;
sim.post();
Epot(inc) = quadrature->Ebar;
+
+ // check stopping criterion
+ if ( inc >= 10 ) if ( Ekin(inc)/Eext < 1.e-6 and Ekin(inc-10)/Eext < 1.e-6 ) break;
}
+ // truncate to simulation size
+ Epot.conservativeResize(inc);
+ Ekin.conservativeResize(inc);
+ t .conservativeResize(inc);
+
// write to output file
H5p::File f = H5p::File("example.hdf5");
f.write("/global/Epot",Epot );
f.write("/global/Ekin",Ekin );
f.write("/global/t" ,t );
f.write("/mesh/coor" ,mesh.coor());
f.write("/mesh/conn" ,mesh.conn());
f.write("/mesh/disp" ,sim.u );
return 0;
}
diff --git a/docs/examples/DynamicsDiagonalPeriodic/laminate/eta=00.10__alpha=0.20/plot.py b/docs/examples/DynamicsDiagonalPeriodic/laminate/eta=00.10__alpha=0.20/plot.py
new file mode 100644
index 0000000..c31473d
--- /dev/null
+++ b/docs/examples/DynamicsDiagonalPeriodic/laminate/eta=00.10__alpha=0.20/plot.py
@@ -0,0 +1,57 @@
+
+import sys,os,re
+import h5py
+import numpy as np
+import matplotlib.pyplot as plt
+import goosempl as gplt
+import matplotlib as mpl
+
+plt.style.use(['goose','goose-latex'])
+
+# --------------------------------------------------------------------------------------------------
+
+name = 'example.hdf5'
+f = h5py.File(name,'r')
+
+fig = plt.figure(figsize=(20,10))
+fig.set_tight_layout(True)
+
+# --------------------------------------------------------------------------------------------------
+
+ax = fig.add_subplot(1,2,1)
+
+t = f['/global/t' ][:]
+Epot = f['/global/Epot'][:]
+Ekin = f['/global/Ekin'][:]
+
+ax.plot(t,Epot+Ekin,color='k',label=r'$E_\mathrm{pot} + E_\mathrm{kin}$')
+ax.plot(t,Epot ,color='r',label=r'$E_\mathrm{pot}$')
+ax.plot(t,Ekin ,color='b',label=r'$E_\mathrm{kin}$')
+
+plt.legend(loc='lower right')
+
+plt.xlabel(r'$t$')
+plt.ylabel(r'$E$')
+
+# --------------------------------------------------------------------------------------------------
+
+ax = fig.add_subplot(1,2,2)
+
+coor = f['/mesh/coor'][:]
+conn = f['/mesh/conn'][:]
+u = f['/mesh/disp'][:]
+
+im = gplt.patch(coor=coor+u,conn=conn)
+
+Lx = np.max(coor[:,0])-np.min(coor[:,0])
+Ly = np.max(coor[:,1])-np.min(coor[:,1])
+
+plt.xlim([-0.1*Lx,1.3*Lx])
+plt.ylim([-0.1*Ly,1.3*Ly])
+
+ax.set_aspect('equal')
+
+plt.savefig(re.sub(r'(.*)(\.hdf5)',r'\1.svg',name))
+plt.show()
+
+
diff --git a/docs/examples/DynamicsDiagonalPeriodic/laminate/no_damping/Verlet/main.cpp b/docs/examples/DynamicsDiagonalPeriodic/laminate/no_damping/Verlet/main.cpp
index de16930..133f187 100644
--- a/docs/examples/DynamicsDiagonalPeriodic/laminate/no_damping/Verlet/main.cpp
+++ b/docs/examples/DynamicsDiagonalPeriodic/laminate/no_damping/Verlet/main.cpp
@@ -1,161 +1,161 @@
#include <HDF5pp.h>
#include <Eigen/Eigen>
#include <cppmat/cppmat.h>
#include <GooseFEM/GooseFEM.h>
#include <GooseMaterial/AmorphousSolid/LinearStrain/Elastic/Cartesian2d.h>
// -------------------------------------------------------------------------------------------------
using MatS = GooseFEM::MatS;
using MatD = GooseFEM::MatD;
using ColD = GooseFEM::ColD;
using vec = cppmat::cartesian2d::vector <double>;
using T2 = cppmat::cartesian2d::tensor2 <double>;
using T2s = cppmat::cartesian2d::tensor2s<double>;
using T2d = cppmat::cartesian2d::tensor2d<double>;
namespace GM = GooseMaterial::AmorphousSolid::LinearStrain::Elastic::Cartesian2d;
// =================================================================================================
class Quadrature
{
public:
T2s eps, epsdot, sig;
size_t nhard;
GM::Material hard, soft;
double Ebar, Vbar;
Quadrature(size_t nhard);
double density (size_t elem, size_t k, double V);
void stressStrain (size_t elem, size_t k, double V);
void stressStrainRate (size_t elem, size_t k, double V);
void stressStrainPost (size_t elem, size_t k, double V);
void stressStrainRatePost(size_t elem, size_t k, double V);
};
// -------------------------------------------------------------------------------------------------
Quadrature::Quadrature(size_t _nhard)
{
nhard = _nhard;
hard = GM::Material(100.,10.);
soft = GM::Material(100., 1.);
}
// -------------------------------------------------------------------------------------------------
double Quadrature::density(size_t elem, size_t k, double V)
{
return 1.0;
}
// -------------------------------------------------------------------------------------------------
void Quadrature::stressStrain(size_t elem, size_t k, double V)
{
if ( elem < nhard ) sig = hard.stress(eps);
else sig = soft.stress(eps);
}
// -------------------------------------------------------------------------------------------------
void Quadrature::stressStrainRate(size_t elem, size_t k, double V)
{
}
// -------------------------------------------------------------------------------------------------
void Quadrature::stressStrainPost(size_t elem, size_t k, double V)
{
Vbar += V;
if ( elem < nhard ) Ebar += hard.energy(eps) * V;
else Ebar += soft.energy(eps) * V;
}
// -------------------------------------------------------------------------------------------------
void Quadrature::stressStrainRatePost(size_t elem, size_t k, double V)
{
}
// =================================================================================================
int main()
{
// set simulation parameters
double T = 20. ; // total time
double dt = 1.e-2; // time increment
size_t nx = 40 ; // number of elements in both directions
double gamma = .05 ; // displacement step
// class which provides the mesh
- GooseFEM::Mesh::Quad4::Regular mesh(nx,nx,static_cast<double>(nx),static_cast<double>(nx));
+ GooseFEM::Mesh::Quad4::Regular mesh(nx,nx,1.);
// reference node
size_t nodeOrigin = mesh.nodeOrigin();
// class which provides the constitutive response at each quadrature point
auto quadrature = std::make_shared<Quadrature>(nx*nx/4);
// class which provides the response of each element
using Elem = GooseFEM::Dynamics::Diagonal::LinearStrain::Quad4<Quadrature>;
auto elem = std::make_shared<Elem>(quadrature);
// class which provides the system and an increment
GooseFEM::Dynamics::Diagonal::Periodic<Elem> sim(
elem,
mesh.coor(),
mesh.conn(),
mesh.dofsPeriodic(),
dt,
0.0
);
// define update in macroscopic deformation gradient
T2 dFbar(0.);
dFbar(0,1) = gamma;
// update the displacement according to the macroscopic deformation gradient update
for ( size_t i = 0 ; i < sim.nnode ; ++i )
for ( size_t j = 0 ; j < sim.ndim ; ++j )
for ( size_t k = 0 ; k < sim.ndim ; ++k )
sim.u(i,j) += dFbar(j,k) * ( sim.x0(i,k) - sim.x0(nodeOrigin,k) );
// output variables
ColD Epot(static_cast<int>(T/dt)); Epot.setZero(); // potential energy
ColD Ekin(static_cast<int>(T/dt)); Ekin.setZero();
ColD t (static_cast<int>(T/dt)); t .setZero();
// loop over increments
for ( size_t inc = 0 ; inc < static_cast<size_t>(Epot.size()) ; ++inc )
{
// - compute increment
sim.Verlet();
// - post: energy based on nodes
// -- store time
t(inc) = sim.t;
// -- kinetic energy
for ( size_t i = 0 ; i < sim.ndof ; ++i )
Ekin(inc) += .5 / sim.Minv(i) * std::pow( sim.V(i) , 2. );
// -- potential energy
quadrature->Ebar = 0.0;
quadrature->Vbar = 0.0;
sim.post();
Epot(inc) = quadrature->Ebar;
}
// write to output file
H5p::File f = H5p::File("example.hdf5");
f.write("/global/Epot",Epot );
f.write("/global/Ekin",Ekin );
f.write("/global/t" ,t );
f.write("/mesh/coor" ,mesh.coor());
f.write("/mesh/conn" ,mesh.conn());
f.write("/mesh/disp" ,sim.u );
return 0;
}
diff --git a/docs/examples/DynamicsDiagonalPeriodic/laminate/no_damping/velocityVerlet/main.cpp b/docs/examples/DynamicsDiagonalPeriodic/laminate/no_damping/velocityVerlet/main.cpp
index 6c25edb..681bb6f 100644
--- a/docs/examples/DynamicsDiagonalPeriodic/laminate/no_damping/velocityVerlet/main.cpp
+++ b/docs/examples/DynamicsDiagonalPeriodic/laminate/no_damping/velocityVerlet/main.cpp
@@ -1,162 +1,162 @@
#include <HDF5pp.h>
#include <Eigen/Eigen>
#include <cppmat/cppmat.h>
#include <GooseFEM/GooseFEM.h>
#include <GooseMaterial/AmorphousSolid/LinearStrain/Elastic/Cartesian2d.h>
// -------------------------------------------------------------------------------------------------
using MatS = GooseFEM::MatS;
using MatD = GooseFEM::MatD;
using ColD = GooseFEM::ColD;
using vec = cppmat::cartesian2d::vector <double>;
using T2 = cppmat::cartesian2d::tensor2 <double>;
using T2s = cppmat::cartesian2d::tensor2s<double>;
using T2d = cppmat::cartesian2d::tensor2d<double>;
namespace GM = GooseMaterial::AmorphousSolid::LinearStrain::Elastic::Cartesian2d;
// =================================================================================================
class Quadrature
{
public:
T2s eps, epsdot, sig;
size_t nhard;
GM::Material hard, soft;
double Ebar, Vbar;
Quadrature(size_t nhard);
double density (size_t elem, size_t k, double V);
void stressStrain (size_t elem, size_t k, double V);
void stressStrainRate (size_t elem, size_t k, double V);
void stressStrainPost (size_t elem, size_t k, double V);
void stressStrainRatePost(size_t elem, size_t k, double V);
};
// -------------------------------------------------------------------------------------------------
Quadrature::Quadrature(size_t _nhard)
{
nhard = _nhard;
hard = GM::Material(100.,10.);
soft = GM::Material(100., 1.);
}
// -------------------------------------------------------------------------------------------------
double Quadrature::density(size_t elem, size_t k, double V)
{
return 1.0;
}
// -------------------------------------------------------------------------------------------------
void Quadrature::stressStrain(size_t elem, size_t k, double V)
{
if ( elem < nhard ) sig = hard.stress(eps);
else sig = soft.stress(eps);
}
// -------------------------------------------------------------------------------------------------
void Quadrature::stressStrainRate(size_t elem, size_t k, double V)
{
sig.zeros();
}
// -------------------------------------------------------------------------------------------------
void Quadrature::stressStrainPost(size_t elem, size_t k, double V)
{
Vbar += V;
if ( elem < nhard ) Ebar += hard.energy(eps) * V;
else Ebar += soft.energy(eps) * V;
}
// -------------------------------------------------------------------------------------------------
void Quadrature::stressStrainRatePost(size_t elem, size_t k, double V)
{
}
// =================================================================================================
int main()
{
// set simulation parameters
double T = 20. ; // total time
double dt = 1.e-2; // time increment
size_t nx = 40 ; // number of elements in both directions
double gamma = .05 ; // displacement step
// class which provides the mesh
- GooseFEM::Mesh::Quad4::Regular mesh(nx,nx,static_cast<double>(nx),static_cast<double>(nx));
+ GooseFEM::Mesh::Quad4::Regular mesh(nx,nx,1.);
// reference node
size_t nodeOrigin = mesh.nodeOrigin();
// class which provides the constitutive response at each quadrature point
auto quadrature = std::make_shared<Quadrature>(nx*nx/4);
// class which provides the response of each element
using Elem = GooseFEM::Dynamics::Diagonal::LinearStrain::Quad4<Quadrature>;
auto elem = std::make_shared<Elem>(quadrature);
// class which provides the system and an increment
GooseFEM::Dynamics::Diagonal::Periodic<Elem> sim(
elem,
mesh.coor(),
mesh.conn(),
mesh.dofsPeriodic(),
dt,
0.0
);
// define update in macroscopic deformation gradient
T2 dFbar(0.);
dFbar(0,1) = gamma;
// update the displacement according to the macroscopic deformation gradient update
for ( size_t i = 0 ; i < sim.nnode ; ++i )
for ( size_t j = 0 ; j < sim.ndim ; ++j )
for ( size_t k = 0 ; k < sim.ndim ; ++k )
sim.u(i,j) += dFbar(j,k) * ( sim.x0(i,k) - sim.x0(nodeOrigin,k) );
// output variables
ColD Epot(static_cast<int>(T/dt)); Epot.setZero(); // potential energy
ColD Ekin(static_cast<int>(T/dt)); Ekin.setZero();
ColD t (static_cast<int>(T/dt)); t .setZero();
// loop over increments
for ( size_t inc = 0 ; inc < static_cast<size_t>(Epot.size()) ; ++inc )
{
// - compute increment
sim.velocityVerlet();
// - post: energy based on nodes
// -- store time
t(inc) = sim.t;
// -- kinetic energy
for ( size_t i = 0 ; i < sim.ndof ; ++i )
Ekin(inc) += .5 / sim.Minv(i) * std::pow( sim.V(i) , 2. );
// -- potential energy
quadrature->Ebar = 0.0;
quadrature->Vbar = 0.0;
sim.post();
Epot(inc) = quadrature->Ebar;
}
// write to output file
H5p::File f = H5p::File("example.hdf5");
f.write("/global/Epot",Epot );
f.write("/global/Ekin",Ekin );
f.write("/global/t" ,t );
f.write("/mesh/coor" ,mesh.coor());
f.write("/mesh/conn" ,mesh.conn());
f.write("/mesh/disp" ,sim.u );
return 0;
}

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