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@PHDTHESIS{Heinigk:994844,
      author       = {Heinigk, Christian},
      othercontributors = {Schulz, Wolfgang and Abel, Dirk and Herty, Michael},
      title        = {{A}pplication of port-hamiltonian systems for modeling and
                      simulation of laser manufacturing processes; 1. {A}uflage},
      school       = {RWTH Aachen University},
      type         = {Dissertation},
      address      = {Aachen},
      publisher    = {Apprimus Verlag},
      reportid     = {RWTH-2024-09583},
      isbn         = {978-3-98555-237-5},
      series       = {Ergebnisse aus der Lasertechnik},
      pages        = {1 Online-Ressource : Illustrationen},
      year         = {2024},
      note         = {Druckausgabe: 2024. - Auch veröffentlicht auf dem
                      Publikationsserver der RWTH Aachen University. - Weitere
                      Reihe: Edition Wissenschaft Apprimus; Dissertation, RWTH
                      Aachen University, 2024},
      abstract     = {Laser manufacturing processes are complex and
                      multi-physical. Modeling such aprocess requires a
                      subdivision into simpler tasks which can then be
                      simulatedand analyzed separately. However, in the end it is
                      paramount to combine thesimpler simulations in order to
                      analyze the actual process. Often, thiscombination is
                      non-trivial, especially when heterogeneous modeling and
                      simulation techniques are employed. Hence, unifying
                      approaches which simplifythe development and analysis of
                      such co-simulations are of interest. One approach that
                      gained a lot of momentum in the past years is
                      calledport-Hamiltonian systems. In this monograph, the
                      author combines the port-Hamiltonian systems modeling heat
                      conduction and elasto-dynamics with a plastic material
                      constitutive law. Hereby, the models are derived from first
                      principles. Additionally, the modelsare scaled and reported
                      in their dimensionless form. The discretization inspace is
                      performed using a mixed Finite Element Method and the
                      Crank-Nicolsonscheme is implemented to discretize the time
                      domain. In addition to theCrank-Nicolson scheme, three
                      explicit time integration methods are used to discretize the
                      elasto-dynamics equations in time. Subsequently,
                      thesub-simulations are validated and analyzed in numerical
                      experiments. Finally, the combined model is applied to
                      simulate thermally-induced deformations of a cubic metallic
                      solid heated by a laser. The accuracy of the sub-simulations
                      match the reported precision of the original authors. The
                      slightly different implementation of the plastic material
                      model needs less plastic iterations to reach the same
                      accuracy published in the benchmark. The explicit time
                      integration schemes require at least three times more
                      iterations compared to the Crank-Nicolson and run up to ten
                      times longer. The co-simulation can simulate
                      thermally-induced deformations in a metallic solid due to a
                      laser to satisfactory precision. Additionally, the
                      simulation shows the importance to choose the right plastic
                      behavior as the resulting stresses and deformation deviate
                      up to 20 percent. It remains to be shown how well the
                      co-simulation predicts experiments.},
      cin          = {418710 / 080067},
      ddc          = {620},
      cid          = {$I:(DE-82)418710_20140620$ / $I:(DE-82)080067_20181221$},
      pnm          = {WS-C.II - Enablers and Tools (X080067-WS-C.II) / DFG
                      project G:(GEPRIS)390621612 - EXC 2023: Internet of
                      Production (IoP) (390621612)},
      pid          = {G:(DE-82)X080067-WS-C.II / G:(GEPRIS)390621612},
      typ          = {PUB:(DE-HGF)11 / PUB:(DE-HGF)3},
      doi          = {10.18154/RWTH-2024-09583},
      url          = {https://publications.rwth-aachen.de/record/994844},
}