int
main(int ac, char* av[])
{
KokkosGuard kokkos(ac, av);
typedef PHX::MDField<PHAL::AlbanyTraits::Residual::ScalarT>::size_type
size_type;
typedef PHAL::AlbanyTraits::Residual Residual;
typedef PHAL::AlbanyTraits::Residual::ScalarT ScalarT;
typedef PHAL::AlbanyTraits Traits;
std::cout.precision(15);
//
// Create a command line processor and parse command line options
//
Teuchos::CommandLineProcessor command_line_processor;
command_line_processor.setDocString(
"Material Point Simulator.\n"
"For testing material models in LCM.\n");
std::string input_file = "materials.xml";
command_line_processor.setOption("input", &input_file, "Input File Name");
std::string timing_file = "timing.csv";
command_line_processor.setOption("timing", &timing_file, "Timing File Name");
int workset_size = 1;
command_line_processor.setOption("wsize", &workset_size, "Workset Size");
int num_pts = 1;
command_line_processor.setOption(
"npoints", &num_pts, "Number of Gaussian Points");
size_t memlimit = 1024; // 1GB heap limit by default
command_line_processor.setOption(
"memlimit", &memlimit, "Heap memory limit in MB for CUDA kernels");
// Throw a warning and not error for unrecognized options
command_line_processor.recogniseAllOptions(true);
// Don't throw exceptions for errors
command_line_processor.throwExceptions(false);
// Parse command line
Teuchos::CommandLineProcessor::EParseCommandLineReturn parse_return =
command_line_processor.parse(ac, av);
std::ofstream tout(timing_file.c_str());
if (parse_return == Teuchos::CommandLineProcessor::PARSE_HELP_PRINTED) {
return 0;
}
if (parse_return != Teuchos::CommandLineProcessor::PARSE_SUCCESSFUL) {
return 1;
}
util::TimeMonitor& tmonitor =
util::PerformanceContext::instance().timeMonitor();
Teuchos::RCP<Teuchos::Time> total_time = tmonitor["MPS: Total Time"];
Teuchos::RCP<Teuchos::Time> compute_time = tmonitor["MPS: Compute Time"];
//
// Process material.xml file
// Read into materialDB and get material model name
//
// A mpi object must be instantiated before using the comm to read
// material file
Teuchos::GlobalMPISession mpi_session(&ac, &av);
Teuchos::RCP<const Teuchos_Comm> commT =
Albany::createTeuchosCommFromMpiComm(Albany_MPI_COMM_WORLD);
Teuchos::RCP<Albany::MaterialDatabase> material_db;
material_db = Teuchos::rcp(new Albany::MaterialDatabase(input_file, commT));
// Get the name of the material model to be used (and make sure there is one)
std::string element_block_name = "Block0";
std::string material_model_name;
material_model_name =
material_db->getElementBlockSublist(element_block_name, "Material Model")
.get<std::string>("Model Name");
TEUCHOS_TEST_FOR_EXCEPTION(
material_model_name.length() == 0,
std::logic_error,
"A material model must be defined for block: " + element_block_name);
//
// Preloading stage setup
// set up evaluators, create field and state managers
//
// Set up the data layout
// const int workset_size = 1;
const int num_dims = 3;
const int num_vertices = 8;
const int num_nodes = 8;
const Teuchos::RCP<Albany::Layouts> dl = Teuchos::rcp(new Albany::Layouts(
workset_size, num_vertices, num_nodes, num_pts, num_dims));
// create field name strings
LCM::FieldNameMap field_name_map(false);
Teuchos::RCP<std::map<std::string, std::string>> fnm =
field_name_map.getMap();
//---------------------------------------------------------------------------
// Deformation gradient
// initially set the deformation gradient to the identity
Teuchos::ArrayRCP<ScalarT> def_grad(workset_size * num_pts * 9);
for (int i = 0; i < workset_size; ++i) {
for (int j = 0; j < num_pts; ++j) {
int base = i * num_pts * 9 + j * 9;
for (int k = 0; k < 9; ++k) def_grad[base + k] = 0.0;
def_grad[base + 0] = 1.0;
def_grad[base + 4] = 1.0;
def_grad[base + 8] = 1.0;
}
}
// SetField evaluator, which will be used to manually assign a value
// to the def_grad field
Teuchos::ParameterList setDefGradP("SetFieldDefGrad");
setDefGradP.set<std::string>("Evaluated Field Name", "F");
setDefGradP.set<Teuchos::RCP<PHX::DataLayout>>(
"Evaluated Field Data Layout", dl->qp_tensor);
setDefGradP.set<Teuchos::ArrayRCP<ScalarT>>("Field Values", def_grad);
auto setFieldDefGrad =
Teuchos::rcp(new LCM::SetField<Residual, Traits>(setDefGradP));
//---------------------------------------------------------------------------
// Det(deformation gradient)
Teuchos::ArrayRCP<ScalarT> detdefgrad(workset_size * num_pts);
for (int i = 0; i < workset_size * num_pts; ++i) detdefgrad[i] = 1.0;
// SetField evaluator, which will be used to manually assign a value
// to the detdefgrad field
Teuchos::ParameterList setDetDefGradP("SetFieldDetDefGrad");
setDetDefGradP.set<std::string>("Evaluated Field Name", "J");
setDetDefGradP.set<Teuchos::RCP<PHX::DataLayout>>(
"Evaluated Field Data Layout", dl->qp_scalar);
setDetDefGradP.set<Teuchos::ArrayRCP<ScalarT>>("Field Values", detdefgrad);
auto setFieldDetDefGrad =
Teuchos::rcp(new LCM::SetField<Residual, Traits>(setDetDefGradP));
//---------------------------------------------------------------------------
// Small strain tensor
// initially set the strain tensor to zeros
Teuchos::ArrayRCP<ScalarT> strain(workset_size * num_pts * 9);
for (int i = 0; i < workset_size; ++i) {
for (int j = 0; j < num_pts; ++j) {
int base = i * num_pts * 9 + j * 9;
for (int k = 0; k < 9; ++k) strain[base + k] = 0.0;
}
}
// SetField evaluator, which will be used to manually assign a value
// to the strain field
Teuchos::ParameterList setStrainP("SetFieldStrain");
setStrainP.set<std::string>("Evaluated Field Name", "Strain");
setStrainP.set<Teuchos::RCP<PHX::DataLayout>>(
"Evaluated Field Data Layout", dl->qp_tensor);
setStrainP.set<Teuchos::ArrayRCP<ScalarT>>("Field Values", strain);
auto setFieldStrain =
Teuchos::rcp(new LCM::SetField<Residual, Traits>(setStrainP));
//---------------------------------------------------------------------------
// Instantiate a field manager
PHX::FieldManager<Traits> fieldManager;
// Instantiate a field manager for States
PHX::FieldManager<Traits> stateFieldManager;
// Register the evaluators with the field manager
fieldManager.registerEvaluator<Residual>(setFieldDefGrad);
fieldManager.registerEvaluator<Residual>(setFieldDetDefGrad);
fieldManager.registerEvaluator<Residual>(setFieldStrain);
// Register the evaluators with the state field manager
stateFieldManager.registerEvaluator<Residual>(setFieldDefGrad);
stateFieldManager.registerEvaluator<Residual>(setFieldDetDefGrad);
stateFieldManager.registerEvaluator<Residual>(setFieldStrain);
// Instantiate a state manager
Albany::StateManager stateMgr;
// extract the Material ParameterList for use below
std::string matName = material_db->getElementBlockParam<std::string>(
element_block_name, "material");
Teuchos::ParameterList& paramList =
material_db->getElementBlockSublist(element_block_name, matName);
Teuchos::ParameterList& mpsParams =
paramList.sublist("Material Point Simulator");
// Get loading parameters from .xml file
std::string load_case =
mpsParams.get<std::string>("Loading Case Name", "uniaxial");
int number_steps = mpsParams.get<int>("Number of Steps", 10);
double step_size = mpsParams.get<double>("Step Size", 1.0e-2);
std::cout << "Loading parameters:"
<< "\n number of steps: " << number_steps
<< "\n step_size : " << step_size << std::endl;
// determine if temperature is being used
bool have_temperature = mpsParams.get<bool>("Use Temperature", false);
std::cout << "have_temp: " << have_temperature << std::endl;
//---------------------------------------------------------------------------
// Temperature (optional)
if (have_temperature) {
Teuchos::ArrayRCP<ScalarT> temperature(workset_size);
ScalarT temp = mpsParams.get<double>("Temperature", 1.0);
for (int i = 0; i < workset_size * num_pts; ++i) temperature[0] = temp;
// SetField evaluator, which will be used to manually assign a value
// to the detdefgrad field
Teuchos::ParameterList setTempP("SetFieldTemperature");
setTempP.set<std::string>("Evaluated Field Name", "Temperature");
setTempP.set<Teuchos::RCP<PHX::DataLayout>>(
"Evaluated Field Data Layout", dl->qp_scalar);
setTempP.set<Teuchos::ArrayRCP<ScalarT>>("Field Values", temperature);
auto setFieldTemperature =
Teuchos::rcp(new LCM::SetField<Residual, Traits>(setTempP));
fieldManager.registerEvaluator<Residual>(setFieldTemperature);
stateFieldManager.registerEvaluator<Residual>(setFieldTemperature);
}
//---------------------------------------------------------------------------
// Time step
Teuchos::ArrayRCP<ScalarT> delta_time(1);
delta_time[0] = step_size;
Teuchos::ParameterList setDTP("SetFieldTimeStep");
setDTP.set<std::string>("Evaluated Field Name", "Delta Time");
setDTP.set<Teuchos::RCP<PHX::DataLayout>>(
"Evaluated Field Data Layout", dl->workset_scalar);
setDTP.set<Teuchos::ArrayRCP<ScalarT>>("Field Values", delta_time);
auto setFieldDT = Teuchos::rcp(new LCM::SetField<Residual, Traits>(setDTP));
fieldManager.registerEvaluator<Residual>(setFieldDT);
stateFieldManager.registerEvaluator<Residual>(setFieldDT);
// check if the material wants the tangent to be computed
bool check_stability;
check_stability = mpsParams.get<bool>("Check Stability", false);
paramList.set<bool>("Compute Tangent", check_stability);
std::cout << "Check stability = " << check_stability << std::endl;
//---------------------------------------------------------------------------
// std::cout << "// Constitutive Model Parameters"
//<< std::endl;
Teuchos::ParameterList cmpPL;
paramList.set<Teuchos::RCP<std::map<std::string, std::string>>>(
"Name Map", fnm);
cmpPL.set<Teuchos::ParameterList*>("Material Parameters", ¶mList);
if (have_temperature) {
cmpPL.set<std::string>("Temperature Name", "Temperature");
paramList.set<bool>("Have Temperature", true);
}
auto CMP = Teuchos::rcp(
new LCM::ConstitutiveModelParameters<Residual, Traits>(cmpPL, dl));
fieldManager.registerEvaluator<Residual>(CMP);
stateFieldManager.registerEvaluator<Residual>(CMP);
//---------------------------------------------------------------------------
// std::cout << "// Constitutive Model Interface Evaluator"
// << std::endl;
Teuchos::ParameterList cmiPL;
cmiPL.set<Teuchos::ParameterList*>("Material Parameters", ¶mList);
if (have_temperature) {
cmiPL.set<std::string>("Temperature Name", "Temperature");
}
Teuchos::RCP<LCM::ConstitutiveModelInterface<Residual, Traits>> CMI =
Teuchos::rcp(
new LCM::ConstitutiveModelInterface<Residual, Traits>(cmiPL, dl));
fieldManager.registerEvaluator<Residual>(CMI);
stateFieldManager.registerEvaluator<Residual>(CMI);
// Set the evaluated fields as required
for (std::vector<Teuchos::RCP<PHX::FieldTag>>::const_iterator it =
CMI->evaluatedFields().begin();
it != CMI->evaluatedFields().end();
++it) {
fieldManager.requireField<Residual>(**it);
}
// register state variables
Teuchos::RCP<Teuchos::ParameterList> p;
Teuchos::RCP<PHX::Evaluator<Traits>> ev;
for (int sv(0); sv < CMI->getNumStateVars(); ++sv) {
CMI->fillStateVariableStruct(sv);
p = stateMgr.registerStateVariable(
CMI->getName(),
CMI->getLayout(),
dl->dummy,
element_block_name,
CMI->getInitType(),
CMI->getInitValue(),
CMI->getStateFlag(),
CMI->getOutputFlag());
ev = Teuchos::rcp(new PHAL::SaveStateField<Residual, Traits>(*p));
fieldManager.registerEvaluator<Residual>(ev);
stateFieldManager.registerEvaluator<Residual>(ev);
}
//---------------------------------------------------------------------------
if (check_stability) {
std::string parametrization_type =
mpsParams.get<std::string>("Parametrization Type", "Spherical");
double parametrization_interval =
mpsParams.get<double>("Parametrization Interval", 0.05);
std::cout << "Bifurcation Check in Material Point Simulator:" << std::endl;
std::cout << "Parametrization Type: " << parametrization_type << std::endl;
Teuchos::ParameterList bcPL;
bcPL.set<Teuchos::ParameterList*>("Material Parameters", ¶mList);
bcPL.set<std::string>("Parametrization Type Name", parametrization_type);
bcPL.set<double>("Parametrization Interval Name", parametrization_interval);
bcPL.set<std::string>("Material Tangent Name", "Material Tangent");
bcPL.set<std::string>("Ellipticity Flag Name", "Ellipticity_Flag");
bcPL.set<std::string>("Bifurcation Direction Name", "Direction");
bcPL.set<std::string>("Min detA Name", "Min detA");
Teuchos::RCP<LCM::BifurcationCheck<Residual, Traits>> BC =
Teuchos::rcp(new LCM::BifurcationCheck<Residual, Traits>(bcPL, dl));
fieldManager.registerEvaluator<Residual>(BC);
stateFieldManager.registerEvaluator<Residual>(BC);
// register the ellipticity flag
p = stateMgr.registerStateVariable(
"Ellipticity_Flag",
dl->qp_scalar,
dl->dummy,
element_block_name,
"scalar",
0.0,
false,
true);
ev = Teuchos::rcp(new PHAL::SaveStateField<Residual, Traits>(*p));
fieldManager.registerEvaluator<Residual>(ev);
stateFieldManager.registerEvaluator<Residual>(ev);
// register the direction
p = stateMgr.registerStateVariable(
"Direction",
dl->qp_vector,
dl->dummy,
element_block_name,
"scalar",
0.0,
false,
true);
ev = Teuchos::rcp(new PHAL::SaveStateField<Residual, Traits>(*p));
fieldManager.registerEvaluator<Residual>(ev);
stateFieldManager.registerEvaluator<Residual>(ev);
// register min(det(A))
p = stateMgr.registerStateVariable(
"Min detA",
dl->qp_scalar,
dl->dummy,
element_block_name,
"scalar",
0.0,
false,
true);
ev = Teuchos::rcp(new PHAL::SaveStateField<Residual, Traits>(*p));
fieldManager.registerEvaluator<Residual>(ev);
stateFieldManager.registerEvaluator<Residual>(ev);
}
//---------------------------------------------------------------------------
// std::cout << "// register deformation gradient"
// << std::endl;
p = stateMgr.registerStateVariable(
"F",
dl->qp_tensor,
dl->dummy,
element_block_name,
"identity",
1.0,
true,
true);
ev = Teuchos::rcp(new PHAL::SaveStateField<Residual, Traits>(*p));
fieldManager.registerEvaluator<Residual>(ev);
stateFieldManager.registerEvaluator<Residual>(ev);
//---------------------------------------------------------------------------
// std::cout << "// register small strain tensor"
// << std::endl;
p = stateMgr.registerStateVariable(
"Strain",
dl->qp_tensor,
dl->dummy,
element_block_name,
"scalar",
0.0,
false,
true);
ev = Teuchos::rcp(new PHAL::SaveStateField<Residual, Traits>(*p));
fieldManager.registerEvaluator<Residual>(ev);
stateFieldManager.registerEvaluator<Residual>(ev);
//---------------------------------------------------------------------------
//
Traits::SetupData setupData = "Test String";
// std::cout << "Calling postRegistrationSetup" << std::endl;
fieldManager.postRegistrationSetup(setupData);
// std::cout << "// set the required fields for the state manager"
//<< std::endl;
Teuchos::RCP<PHX::DataLayout> dummy =
Teuchos::rcp(new PHX::MDALayout<Dummy>(0));
std::vector<std::string> responseIDs =
stateMgr.getResidResponseIDsToRequire(element_block_name);
std::vector<std::string>::const_iterator it;
for (it = responseIDs.begin(); it != responseIDs.end(); it++) {
const std::string& responseID = *it;
PHX::Tag<PHAL::AlbanyTraits::Residual::ScalarT> res_response_tag(
responseID, dummy);
stateFieldManager.requireField<PHAL::AlbanyTraits::Residual>(
res_response_tag);
}
stateFieldManager.postRegistrationSetup("");
// std::cout << "Process using 'dot -Tpng -O <name>'\n";
fieldManager.writeGraphvizFile<Residual>("FM", true, true);
stateFieldManager.writeGraphvizFile<Residual>("SFM", true, true);
//---------------------------------------------------------------------------
// grab the output file name
//
std::string output_file =
mpsParams.get<std::string>("Output File Name", "output.exo");
//---------------------------------------------------------------------------
// Create discretization, as required by the StateManager
//
Teuchos::RCP<Teuchos::ParameterList> discretizationParameterList =
Teuchos::rcp(new Teuchos::ParameterList("Discretization"));
discretizationParameterList->set<int>("1D Elements", workset_size);
discretizationParameterList->set<int>("2D Elements", 1);
discretizationParameterList->set<int>("3D Elements", 1);
discretizationParameterList->set<std::string>("Method", "STK3D");
discretizationParameterList->set<int>("Number Of Time Derivatives", 0);
discretizationParameterList->set<std::string>(
"Exodus Output File Name", output_file);
discretizationParameterList->set<int>("Workset Size", workset_size);
Teuchos::RCP<Tpetra_Map> mapT = Teuchos::rcp(new Tpetra_Map(
workset_size * num_dims * num_nodes,
0,
commT,
Tpetra::LocallyReplicated));
Teuchos::RCP<Tpetra_Vector> solution_vectorT =
Teuchos::rcp(new Tpetra_Vector(mapT));
int numberOfEquations = 3;
Albany::AbstractFieldContainer::FieldContainerRequirements req;
Teuchos::RCP<Albany::AbstractSTKMeshStruct> stkMeshStruct =
Teuchos::rcp(new Albany::TmplSTKMeshStruct<3>(
discretizationParameterList, Teuchos::null, commT));
stkMeshStruct->setFieldAndBulkData(
commT,
discretizationParameterList,
numberOfEquations,
req,
stateMgr.getStateInfoStruct(),
stkMeshStruct->getMeshSpecs()[0]->worksetSize);
Teuchos::RCP<Albany::AbstractDiscretization> discretization =
Teuchos::rcp(new Albany::STKDiscretization(
discretizationParameterList, stkMeshStruct, commT));
//---------------------------------------------------------------------------
// Associate the discretization with the StateManager
//
stateMgr.setupStateArrays(discretization);
//---------------------------------------------------------------------------
// Create a workset
//
PHAL::Workset workset;
workset.numCells = workset_size;
workset.stateArrayPtr =
&stateMgr.getStateArray(Albany::StateManager::ELEM, 0);
// create MDFields
PHX::MDField<ScalarT, Cell, QuadPoint, Dim, Dim> stressField(
"Cauchy_Stress", dl->qp_tensor);
// construct the final deformation gradient based on the loading case
std::vector<ScalarT> F_vector(9, 0.0);
if (load_case == "uniaxial") {
F_vector[0] = 1.0 + number_steps * step_size;
F_vector[4] = 1.0;
F_vector[8] = 1.0;
} else if (load_case == "simple-shear") {
F_vector[0] = 1.0;
F_vector[1] = number_steps * step_size;
F_vector[4] = 1.0;
F_vector[8] = 1.0;
} else if (load_case == "hydrostatic") {
F_vector[0] = 1.0 + number_steps * step_size;
F_vector[4] = 1.0 + number_steps * step_size;
F_vector[8] = 1.0 + number_steps * step_size;
} else if (load_case == "general") {
F_vector =
mpsParams.get<Teuchos::Array<double>>("Deformation Gradient Components")
.toVector();
} else {
TEUCHOS_TEST_FOR_EXCEPTION(
true,
std::runtime_error,
"Improper Loading Case in Material Point Simulator block");
}
minitensor::Tensor<ScalarT> F_tensor(3, &F_vector[0]);
minitensor::Tensor<ScalarT> log_F_tensor = minitensor::log(F_tensor);
std::cout << "F\n" << F_tensor << std::endl;
// std::cout << "log F\n" << log_F_tensor << std::endl;
//
// Setup loading scenario and instantiate evaluatFields
//
PHX::MDField<ScalarT, Cell, QuadPoint> minDetA("Min detA", dl->qp_scalar);
PHX::MDField<ScalarT, Cell, QuadPoint, Dim> direction(
"Direction", dl->qp_vector);
// Bifurcation check parameters
double mu_0 = 0;
double mu_k = 0;
int bifurcationTime_rough = number_steps;
bool bifurcation_flag = false;
for (int istep(0); istep <= number_steps; ++istep) {
util::TimeGuard total_time_guard(total_time);
// std::cout << "****** in MPS step " << istep << " ****** " << std::endl;
// alpha \in [0,1]
double alpha = double(istep) / number_steps;
// std::cout << "alpha: " << alpha << std::endl;
minitensor::Tensor<ScalarT> scaled_log_F_tensor = alpha * log_F_tensor;
minitensor::Tensor<ScalarT> current_F =
minitensor::exp(scaled_log_F_tensor);
// std::cout << "scaled log F\n" << scaled_log_F_tensor << std::endl;
// std::cout << "current F\n" << current_F << std::endl;
for (int i = 0; i < 3; ++i) {
for (int j = 0; j < 3; ++j) { def_grad[3 * i + j] = current_F(i, j); }
}
// jacobian
detdefgrad[0] = minitensor::det(current_F);
// small strain tensor
minitensor::Tensor<ScalarT> current_strain;
current_strain = 0.5 * (current_F + minitensor::transpose(current_F)) -
minitensor::eye<ScalarT>(3);
for (int i = 0; i < 3; ++i) {
for (int j = 0; j < 3; ++j) { strain[3 * i + j] = current_strain(i, j); }
}
// std::cout << "current strain\n" << current_strain << std::endl;
// Call the evaluators, evaluateFields() is the function that
// computes stress based on deformation gradient
compute_time->start();
fieldManager.preEvaluate<Residual>(workset);
fieldManager.evaluateFields<Residual>(workset);
fieldManager.postEvaluate<Residual>(workset);
compute_time->stop();
stateFieldManager.getFieldData<Residual>(stressField);
// Call the state field manager
// std::cout << "+++ calling the stateFieldManager\n";
compute_time->start();
stateFieldManager.preEvaluate<Residual>(workset);
stateFieldManager.evaluateFields<Residual>(workset);
stateFieldManager.postEvaluate<Residual>(workset);
compute_time->stop();
stateMgr.updateStates();
// output to the exodus file
// Don't include this in timing data...
total_time->stop();
discretization->writeSolutionT(
*solution_vectorT, Teuchos::as<double>(istep));
// if check for bifurcation, adaptive step
total_time->start();
if (check_stability) {
// get current minDet(A)
stateFieldManager.getFieldData<Residual>(minDetA);
if (istep == 0) { mu_0 = minDetA(0, 0); }
if (minDetA(0, 0) <= 0 && !bifurcation_flag) {
mu_k = minDetA(0, 0);
bifurcationTime_rough = istep;
bifurcation_flag = true;
// adaptive step begin
std::cout << "\nAdaptive step begin - step " << istep << std::endl;
// initialization for adaptive step
double tol = 1E-8;
double alpha_local = 1.0;
double alpha_local_step = 0.5;
int k = 1;
int maxIteration = 50;
// small strain tensor
minitensor::Tensor<ScalarT> current_strain;
// iteration begin
while (((mu_k <= 0) || (std::abs(mu_k / mu_0) > tol))) {
alpha =
double(bifurcationTime_rough - 1 + alpha_local) / number_steps;
minitensor::Tensor<ScalarT> scaled_log_F_tensor =
alpha * log_F_tensor;
minitensor::Tensor<ScalarT> current_F =
minitensor::exp(scaled_log_F_tensor);
for (int i = 0; i < 3; ++i) {
for (int j = 0; j < 3; ++j) {
def_grad[3 * i + j] = current_F(i, j);
}
}
// jacobian
detdefgrad[0] = minitensor::det(current_F);
current_strain =
0.5 * (current_F + minitensor::transpose(current_F)) -
minitensor::eye<ScalarT>(3);
for (int i = 0; i < 3; ++i) {
for (int j = 0; j < 3; ++j) {
strain[3 * i + j] = current_strain(i, j);
}
}
// Call the evaluators, evaluateFields() is the function that
// computes stress based on deformation gradient
fieldManager.preEvaluate<Residual>(workset);
fieldManager.evaluateFields<Residual>(workset);
fieldManager.postEvaluate<Residual>(workset);
// Call the state field manager
// std::cout << "+++ calling the stateFieldManager\n";
stateFieldManager.preEvaluate<Residual>(workset);
stateFieldManager.evaluateFields<Residual>(workset);
stateFieldManager.postEvaluate<Residual>(workset);
stateFieldManager.getFieldData<Residual>(minDetA);
stateFieldManager.getFieldData<Residual>(direction);
mu_k = minDetA(0, 0);
if (mu_k > 0) {
alpha_local += alpha_local_step;
} else {
alpha_local -= alpha_local_step;
}
alpha_local_step /= 2;
k = k + 1;
if (k >= maxIteration) {
std::cout
<< "Adaptive step for bifurcation check not converging after "
<< k << " iterations" << std::endl;
break;
}
} // adaptive step iteration end
} // end adaptive step
} // end check bifurcation
stateMgr.updateStates();
//
if (bifurcation_flag) {
// break the loading step after adaptive time step loop
break;
}
//
} // end loading steps
// Summarize with AlbanyUtil performance monitors
if (tout) {
util::PerformanceContext::instance().timeMonitor().summarize(tout);
tout.close();
}
}
void AnisotropicHyperelasticDamageModel<EvalT, Traits>::
computeState(typename Traits::EvalData workset,
std::map<std::string, Teuchos::RCP<PHX::MDField<ScalarT> > > dep_fields,
std::map<std::string, Teuchos::RCP<PHX::MDField<ScalarT> > > eval_fields)
{
bool print = false;
//if (typeid(ScalarT) == typeid(RealType)) print = true;
//cout.precision(15);
// extract dependent MDFields
PHX::MDField<ScalarT> def_grad = *dep_fields["F"];
PHX::MDField<ScalarT> J = *dep_fields["J"];
PHX::MDField<ScalarT> poissons_ratio = *dep_fields["Poissons Ratio"];
PHX::MDField<ScalarT> elastic_modulus = *dep_fields["Elastic Modulus"];
// retrive appropriate field name strings
std::string cauchy_string = (*field_name_map_)["Cauchy_Stress"];
std::string matrix_energy_string = (*field_name_map_)["Matrix_Energy"];
std::string f1_energy_string = (*field_name_map_)["F1_Energy"];
std::string f2_energy_string = (*field_name_map_)["F2_Energy"];
std::string matrix_damage_string = (*field_name_map_)["Matrix_Damage"];
std::string f1_damage_string = (*field_name_map_)["F1_Damage"];
std::string f2_damage_string = (*field_name_map_)["F2_Damage"];
// extract evaluated MDFields
PHX::MDField<ScalarT> stress = *eval_fields[cauchy_string];
PHX::MDField<ScalarT> energy_m = *eval_fields[matrix_energy_string];
PHX::MDField<ScalarT> energy_f1 = *eval_fields[f1_energy_string];
PHX::MDField<ScalarT> energy_f2 = *eval_fields[f2_energy_string];
PHX::MDField<ScalarT> damage_m = *eval_fields[matrix_damage_string];
PHX::MDField<ScalarT> damage_f1 = *eval_fields[f1_damage_string];
PHX::MDField<ScalarT> damage_f2 = *eval_fields[f2_damage_string];
// previous state
Albany::MDArray energy_m_old =
(*workset.stateArrayPtr)[matrix_energy_string + "_old"];
Albany::MDArray energy_f1_old =
(*workset.stateArrayPtr)[f1_energy_string + "_old"];
Albany::MDArray energy_f2_old =
(*workset.stateArrayPtr)[f2_energy_string + "_old"];
ScalarT kappa, mu, Jm53, Jm23, p, I4_f1, I4_f2;
ScalarT alpha_f1, alpha_f2, alpha_m;
// Define some tensors for use
Intrepid::Tensor<ScalarT> I(Intrepid::eye<ScalarT>(num_dims_));
Intrepid::Tensor<ScalarT> F(num_dims_), s(num_dims_), b(num_dims_), C(
num_dims_);
Intrepid::Tensor<ScalarT> sigma_m(num_dims_), sigma_f1(num_dims_), sigma_f2(
num_dims_);
Intrepid::Tensor<ScalarT> M1dyadM1(num_dims_), M2dyadM2(num_dims_);
Intrepid::Tensor<ScalarT> S0_f1(num_dims_), S0_f2(num_dims_);
Intrepid::Vector<ScalarT> M1(num_dims_), M2(num_dims_);
for (std::size_t cell = 0; cell < workset.numCells; ++cell) {
for (std::size_t pt = 0; pt < num_pts_; ++pt) {
// local parameters
kappa = elastic_modulus(cell, pt)
/ (3. * (1. - 2. * poissons_ratio(cell, pt)));
mu = elastic_modulus(cell, pt) / (2. * (1. + poissons_ratio(cell, pt)));
Jm53 = std::pow(J(cell, pt), -5. / 3.);
Jm23 = std::pow(J(cell, pt), -2. / 3.);
F.fill(&def_grad(cell, pt, 0, 0));
// compute deviatoric stress
b = F * Intrepid::transpose(F);
s = mu * Jm53 * Intrepid::dev(b);
// compute pressure
p = 0.5 * kappa * (J(cell, pt) - 1. / (J(cell, pt)));
sigma_m = s + p * I;
// compute energy for M
energy_m(cell, pt) = 0.5 * kappa
* (0.5 * (J(cell, pt) * J(cell, pt) - 1.0) - std::log(J(cell, pt)))
+ 0.5 * mu * (Jm23 * Intrepid::trace(b) - 3.0);
// damage term in M
alpha_m = energy_m_old(cell, pt);
if (energy_m(cell, pt) > alpha_m) alpha_m = energy_m(cell, pt);
damage_m(cell, pt) = max_damage_m_
* (1 - std::exp(-alpha_m / saturation_m_));
//-----------compute stress in Fibers
// Right Cauchy-Green Tensor C = F^{T} * F
C = Intrepid::transpose(F) * F;
// Fiber orientation vectors
//
// fiber 1
for (std::size_t i = 0; i < num_dims_; ++i) {
M1(i) = direction_f1_[i];
}
M1 = M1 / norm(M1);
// fiber 2
for (std::size_t i = 0; i < num_dims_; ++i) {
M2(i) = direction_f2_[i];
}
M2 = M2 / norm(M2);
// Anisotropic invariants I4 = M_{i} * C * M_{i}
I4_f1 = Intrepid::dot(M1, Intrepid::dot(C, M1));
I4_f2 = Intrepid::dot(M2, Intrepid::dot(C, M2));
M1dyadM1 = Intrepid::dyad(M1, M1);
M2dyadM2 = Intrepid::dyad(M2, M2);
// undamaged stress (2nd PK stress)
S0_f1 = (4.0 * k_f1_ * (I4_f1 - 1.0)
* std::exp(q_f1_ * (I4_f1 - 1) * (I4_f1 - 1))) * M1dyadM1;
S0_f2 = (4.0 * k_f2_ * (I4_f2 - 1.0)
* std::exp(q_f2_ * (I4_f2 - 1) * (I4_f2 - 1))) * M2dyadM2;
// compute energy for fibers
energy_f1(cell, pt) = k_f1_
* (std::exp(q_f1_ * (I4_f1 - 1) * (I4_f1 - 1)) - 1) / q_f1_;
energy_f2(cell, pt) = k_f2_
* (std::exp(q_f2_ * (I4_f2 - 1) * (I4_f2 - 1)) - 1) / q_f2_;
// Fiber Cauchy stress
sigma_f1 = (1.0 / J(cell, pt))
* Intrepid::dot(F, Intrepid::dot(S0_f1, Intrepid::transpose(F)));
sigma_f2 = (1.0 / J(cell, pt))
* Intrepid::dot(F, Intrepid::dot(S0_f2, Intrepid::transpose(F)));
// maximum thermodynamic forces
alpha_f1 = energy_f1_old(cell, pt);
alpha_f2 = energy_f2_old(cell, pt);
if (energy_f1(cell, pt) > alpha_f1) alpha_f1 = energy_f1(cell, pt);
if (energy_f2(cell, pt) > alpha_f2) alpha_f2 = energy_f2(cell, pt);
// damage term in fibers
damage_f1(cell, pt) = max_damage_f1_
* (1 - std::exp(-alpha_f1 / saturation_f1_));
damage_f2(cell, pt) = max_damage_f2_
* (1 - std::exp(-alpha_f2 / saturation_f2_));
// total Cauchy stress (M, Fibers)
for (std::size_t i(0); i < num_dims_; ++i) {
for (std::size_t j(0); j < num_dims_; ++j) {
stress(cell, pt, i, j) =
volume_fraction_m_ * (1 - damage_m(cell, pt)) * sigma_m(i, j)
+ volume_fraction_f1_ * (1 - damage_f1(cell, pt))
* sigma_f1(i, j)
+ volume_fraction_f2_ * (1 - damage_f2(cell, pt))
* sigma_f2(i, j);
}
}
if (print) {
std::cout << " matrix damage: " << damage_m(cell, pt) << std::endl;
std::cout << " matrix energy: " << energy_m(cell, pt) << std::endl;
std::cout << " fiber1 damage: " << damage_f1(cell, pt) << std::endl;
std::cout << " fiber1 energy: " << energy_f1(cell, pt) << std::endl;
std::cout << " fiber2 damage: " << damage_f2(cell, pt) << std::endl;
std::cout << " fiber2 energy: " << energy_f2(cell, pt) << std::endl;
}
} // pt
} // cell
}
