materialUtil.cpp

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/*
 * -------------------------------------------
 * Copyright (c) 2021 - 2024 Prashant K. Jha
 * -------------------------------------------
 * PeriDEM https://github.com/prashjha/PeriDEM
 *
 * Distributed under the Boost Software License, Version 1.0. (See accompanying
 * file LICENSE)
 */
 
#include "materialUtil.h"
#include "particle/baseParticle.h"
#include "util/function.h"
#include "util/parallelUtil.h"
#include <iostream>
#include <taskflow/taskflow/taskflow.hpp>
#include <taskflow/taskflow/algorithm/for_each.hpp>
 
namespace {
 
double computeStateMxI(size_t i, const std::vector<util::Point> &nodes,
                       const std::vector<double> &nodal_vol,
                       const std::vector<std::vector<size_t>> &neighbors,
                       const std::vector<std::vector<float>> &neighbors_sq_dist,
                       const double &mesh_size,
                       const material::Material *material) {
 
  double horizon = material->getHorizon();
  const auto &xi = nodes[i];
  double m = 0.;
 
  // upper and lower bound for volume correction
  auto check_up = horizon + 0.5 * mesh_size;
  auto check_low = horizon - 0.5 * mesh_size;
 
  size_t k = 0;
  for (size_t j : neighbors[i]) {
 
    const auto &xj = nodes[j];
    double rji = (xj - xi).length();
    //double rji = std::sqrt(neighbors_sq_dist[i][k]);
 
    if (util::isGreater(rji, horizon)) // or j == i) <-- check! For weighted volume, we don't want to skip the node itself
      continue;
 
    // get corrected volume of node j
    auto volj = nodal_vol[j];
 
    if (util::isGreater(rji, check_low))
      volj *= (check_up - rji) / mesh_size;
 
    m += std::pow(rji, 2) * material->getInfFn(rji) * volj;
 
    k++;
  }
 
  if (util::isLess(m, 1.0E-18)) {
    std::ostringstream oss;
    oss << "Error: Weighted nodal volume = " << m
              << " should not be too close to zero.\n";
 
    oss << "Mesh size = " << mesh_size << "\n";
    oss << "J = " << material->getInfFn(0.5 * horizon) << "\n";
    oss << "weighted volume (times 1.0e10) = " << m*1.e+10 << "\n";
    oss << "nodal coord = " << xi.printStr() << "\n";
    oss << material->printStr(0, 0);
 
    std::cout << oss.str();
 
    exit(1);
  }
  return m;
}
 
double computeStateThetaxI(size_t i, const std::vector<util::Point> &nodes,
                           const std::vector<util::Point> &nodes_disp,
                           const std::vector<double> &nodal_vol,
                           const std::vector<std::vector<size_t>> &neighbors,
                           const std::vector<std::vector<float>> &neighbors_sq_dist,
                           const double &mesh_size,
                           const material::Material *material,
                           const geometry::Fracture *fracture,
                           const std::vector<double> &mx) {
 
  double horizon = material->getHorizon();
  const auto &xi = nodes[i];
  const auto &ui = nodes_disp[i];
  double m = mx[i];
  double theta = 0.;
 
  // upper and lower bound for volume correction
  auto check_up = horizon + 0.5 * mesh_size;
  auto check_low = horizon - 0.5 * mesh_size;
 
  size_t k = 0;
  for (size_t j : neighbors[i]) {
 
    const auto &xj = nodes[j];
    const auto &uj = nodes_disp[j];
    double rji = (xj - xi).length();
    //double rji = std::sqrt(neighbors_sq_dist[i][k]); // distance in
                                                      // reference configuration
 
    if (util::isGreater(rji, horizon) or j == i)
      continue;
 
    // get corrected volume of node j
    auto volj = nodal_vol[j];
 
    if (util::isGreater(rji, check_low))
      volj *= (check_up - rji) / mesh_size;
 
    // get bond state
    double bond_state = fracture->getBondState(i, k) ? 0. : 1.;
 
    // get change in bond length
    auto yi = xi + ui;
    auto yj = xj + uj;
    double change_length = (yj - yi).length() - rji;
 
    theta += bond_state * rji * change_length *
             material->getInfFn(rji) * volj;
 
    k += 1;
  }
 
  return 3. * theta / m;
}
 
double computeHydrostaticStrainI(size_t i, const std::vector<util::Point> &nodes,
                           const std::vector<util::Point> &nodes_disp,
                           const std::vector<double> &nodal_vol,
                                 const std::vector<std::vector<size_t>> &neighbors,
                                 const std::vector<std::vector<float>> &neighbors_sq_dist,
                           const double &mesh_size,
                           const material::Material *material,
                           const geometry::Fracture *fracture,
                           size_t dim) {
 
  double horizon = material->getHorizon();
  const auto &xi = nodes[i];
  const auto &ui = nodes_disp[i];
  double theta = 0.;
 
  // upper and lower bound for volume correction
  auto check_up = horizon + 0.5 * mesh_size;
  auto check_low = horizon - 0.5 * mesh_size;
 
  // get volume of ball
  double vol_ball = std::pow(horizon, 2) * M_PI;
  if (dim == 3)
    vol_ball *= horizon * 4. / 3.;
 
  size_t k = 0;
  for (size_t j : neighbors[i]) {
 
    const auto &xj = nodes[j];
    const auto &uj = nodes_disp[j];
    double rji = (xj - xi).length();
    //double rji = std::sqrt(neighbors_sq_dist[i][k]);
 
    if (util::isGreater(rji, horizon) or j == i)
      continue;
 
    // get corrected volume of node j
    auto volj = nodal_vol[j];
 
    if (util::isGreater(rji, check_low))
      volj *= (check_up - rji) / mesh_size;
 
    // get bond state
    double bond_state = fracture->getBondState(i, k) ? 0. : 1.;
 
    // get bond strain
    double Sji = material->getS(xj - xi, uj - ui);
 
    theta += bond_state * rji * Sji *
             material->getInfFn(rji) * volj / vol_ball;
 
    k += 1;
  }
 
  return theta;
}
 
void updateBondFractureDataI(size_t i, const std::vector<util::Point> &nodes,
                             const std::vector<std::vector<size_t>> &neighbors,
                                 const std::vector<util::Point> &nodes_disp,
                                 const material::Material *material,
                                 geometry::Fracture *fracture) {
 
  size_t k = 0;
  for (size_t j : neighbors[i]) {
 
    double s = material->getS(nodes[j] - nodes[i], nodes_disp[j] -
    nodes_disp[i]);
    double sc = material->getSc((nodes[j] - nodes[i]).length());
 
    // get fracture state, modify, and set
    auto fs = fracture->getBondState(i, k);
    if (!fs && util::isGreater(std::abs(s), sc + 1.0e-10))
      fs = true;
    fracture->setBondState(i, k, fs);
 
    k += 1;
  }
}
 
} // anonymous namespace
 
void material::computeStateMx(model::ModelData *model, bool compute_in_parallel) {
 
  model->d_mX.resize(model->d_x.size());
  if (!compute_in_parallel) {
    for (size_t i = 0; i < model->d_x.size(); i++) {
      const auto &pti = model->getPtId(i);
      const auto &particle = model->getParticleFromAllList(pti);
      auto mx = computeStateMxI(i, model->d_xRef, model->d_vol,
                                model->d_neighPd, model->d_neighPdSqdDist,
                                particle->getMeshSize(),
                                particle->getMaterial());
 
      model->setMx(i, mx);
    }
  } else {
 
    tf::Executor executor(util::parallel::getNThreads());
    tf::Taskflow taskflow;
 
    taskflow.for_each_index(
      (std::size_t) 0, model->d_x.size(), (std::size_t) 1, [model](std::size_t i) {
        const auto &pti = model->getPtId(i);
        const auto &particle = model->getParticleFromAllList(pti);
        auto mx = computeStateMxI(i, model->d_xRef, model->d_vol,
                                  model->d_neighPd, model->d_neighPdSqdDist,
                                  particle->getMeshSize(),
                                  particle->getMaterial());
 
        model->setMx(i, mx);
      }
    ); // for_each
 
    executor.run(taskflow).get();
  }
}
 
void material::computeStateThetax(model::ModelData *model, bool compute_in_parallel) {
 
  model->d_thetaX.resize(model->d_x.size());
  if (!compute_in_parallel) {
    for (size_t i = 0; i < model->d_x.size(); i++) {
      const auto &pti = model->getPtId(i);
      const auto &particle = model->getParticleFromAllList(pti);
 
      auto thetax = computeStateThetaxI(i, model->d_xRef, model->d_u,
                                        model->d_vol,
                                        model->d_neighPd, model->d_neighPdSqdDist,
                                        particle->getMeshSize(),
                                      particle->getMaterial(),
                                        model->d_fracture_p.get(),
                                        model->d_mX);
 
      model->setThetax(i, thetax);
 
    }
 
  } else {
 
    tf::Executor executor(util::parallel::getNThreads());
    tf::Taskflow taskflow;
 
    taskflow.for_each_index(
      (std::size_t) 0, model->d_x.size(), (std::size_t) 1, [model](std::size_t i) {
        const auto &pti = model->getPtId(i);
        const auto &particle = model->getParticleFromAllList(pti);
 
        auto thetax = computeStateThetaxI(i, model->d_xRef, model->d_u,
                                          model->d_vol,
                                          model->d_neighPd, model->d_neighPdSqdDist,
                                          particle->getMeshSize(),
                                          particle->getMaterial(),
                                          model->d_fracture_p.get(),
                                          model->d_mX);
 
        model->setThetax(i, thetax);
      }
    ); // for_each
 
    executor.run(taskflow).get();
  }
}
 
void material::computeHydrostaticStrain(model::ModelData *model, bool compute_in_parallel) {
 
  model->d_thetaX.resize(model->d_x.size());
  if (!compute_in_parallel) {
    for (size_t i = 0; i < model->d_x.size(); i++) {
      const auto &pti = model->getPtId(i);
      const auto &particle = model->getParticleFromAllList(pti);
 
      auto thetax = computeHydrostaticStrainI(i, model->d_xRef, model->d_u,
                                        model->d_vol,
                                        model->d_neighPd, model->d_neighPdSqdDist,
                                        particle->getMeshSize(),
                                        particle->getMaterial(),
                                        model->d_fracture_p.get(),
                                        particle->getDimension());
 
      model->setThetax(i, thetax);
    }
  } else {
 
    tf::Executor executor(util::parallel::getNThreads());
    tf::Taskflow taskflow;
 
    taskflow.for_each_index(
      (std::size_t) 0, model->d_x.size(), (std::size_t) 1, [model](std::size_t i) {
        const auto &pti = model->getPtId(i);
        const auto &particle = model->getParticleFromAllList(pti);
 
        auto thetax = computeHydrostaticStrainI(i, 
          model->d_xRef, 
          model->d_u,
          model->d_vol,
          model->d_neighPd, model->d_neighPdSqdDist,
          particle->getMeshSize(),
          particle->getMaterial(),
          model->d_fracture_p.get(),
          particle->getDimension());
 
        model->setThetax(i, thetax);
      }
    ); // for_each
 
    executor.run(taskflow).get();
  }
 
}
 
void material::updateBondFractureData(model::ModelData *model, bool compute_in_parallel) {
 
  if (!compute_in_parallel) {
    for (size_t i = 0; i < model->d_x.size(); i++) {
      const auto &pti = model->getPtId(i);
      const auto &particle = model->getParticleFromAllList(pti);
 
      updateBondFractureDataI(i, model->d_xRef, model->d_neighPd, model->d_u,
                              particle->getMaterial(),
                                              model->d_fracture_p.get());
    }
  } else {
 
    tf::Executor executor(util::parallel::getNThreads());
    tf::Taskflow taskflow;
 
    taskflow.for_each_index(
      (std::size_t) 0, model->d_x.size(), (std::size_t) 1, [model](std::size_t i) {
        const auto &pti = model->getPtId(i);
        const auto &particle = model->getParticleFromAllList(pti);
 
        updateBondFractureDataI(i, 
          model->d_xRef, 
          model->d_neighPd, 
          model->d_u,
          particle->getMaterial(),
          model->d_fracture_p.get());
      }
    ); // for_each
 
    executor.run(taskflow).get();
  }
}