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DFG-SPP 1480: Thermomechanical distortion in drilling and milling complex components

Working Group:WG Industrial MathematicsWG Numerics of PDEs
Leadership: Prof. Dr. Alfred Schmidt ((0421) 218-63851, E-Mail: alfred.schmidt@uni-bremen.de )
Prof. Dr. Dr. h.c. Peter Maaß ((0421) 218-63801, E-Mail: pmaass@math.uni-bremen.de )
Processor: Dr.-Ing. Carsten Niebuhr
Dr.-Ing. Jost Vehmeyer
Funding: DFG
Project partner: Institut für Fertigungstechnik und Werkzeugmaschinen, Universität Hannover
Time period: 01.09.2010 - 28.02.2017
Bild des Projekts DFG-SPP 1480: Thermomechanische Verformung komplexer Werkstücke durch Bohr- und Fräsprozesse

The AG Numerik PDE and the AG Technomathematik collaborate within the DFG Priority Program SPP1480 „Modelling, Simulation and Compensation of Thermal Effects for Complex Machining Processes“. Togther with engineers from the Institute of Production Engineering and Machine Tools in Hanover they work on the developement of a model able to precisely predict the thermoelastic deformations appearing during cutting processes in complex structural components and their related geometric failures.

Dexelabtrag Dexelabtrag
AbtragssimulationRemoval Simulation
The simulation includes a model for the geometric changes of the components and the time dependent contacts between work piece and cutting tool. Additionally, a finite element model for the simulation of the thermal conduction and the component disortion is combined. The model should be valid for both the continuous (drilling) and the discontinuous (milling) cutting processes. Along wit the thermomechanical deformation, a special attention is given to the metal removal process.

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Website of the Priority Program SPP 1480:



  1. C. Niebuhr, A. Schmidt.
    Finite element methods for parabolic problems with time-dependent domains - application to a milling simulation.
    ENUMATH 2017.
    Lecture Notes in Computational Science and Engineering, 126:481-489, Springer Verlag, 2019.
  2. A. Schmidt, C. Niebuhr, J. Montalvo Urquizo, M. G. Villarreal-Marroquin.
    Simulation and multi-objective optimization of thermal distortions for milling processes.
    Springer Mathematics in Industry Vol. 30, 421-428 pages, Springer Verlag, 2019.
  3. J. Montalvo Urquizo, C. Niebuhr, A. Schmidt, M. G. Villarreal-Marroquin.
    Reducing deformation, stress and tool wear during milling processes using simulation-based multiobjective optimization.
    The International Journal of Advanced Manufacturing Technology, 96:1859-1873, 2018.
  4. A. Menzel, A. Schmidt.
    Optimization and Compensation Strategies.
    Thermal Effects in Complex Machining Processes - Final Report of the DFG Priority Program 1480, D. Biermann, F. Hollmann (Eds.), LNPE, pp. 23-27, Springer Verlag, 2017.
  5. C. Niebuhr.
    FE-CutS – Finite-Elemente-Modell für makroskopische Zerspanprozesse: Modellierung, Analyse und Simulation.
    Dissertationsschrift, Universität Bremen, 2017.

    online at: Elektronische Bibliothek der Universität Bremen

  6. A. Schmidt, C. Niebuhr, D. Niederwestberg, J. Vehmeyer.
    Modelling, simulation, and optimization of thermal deformations from milling processes.
    ECMI 2016.
    Mathematics in Industry, 26:337-343, Springer Verlag, 2017.
  7. A. Schmidt, E. Bänsch, M. Jahn, A. Luttmann, C. Niebuhr, J. Vehmeyer.
    Optimization of Engineering Processes Including Heating in Time-Dependent Domains.
    27th IFIP TC 7 Conference, CSMO 2015, 29.06.-03.07.2015.
    IFIP AICT Series , 494:452-461, Springer Verlag, 2017.
  8. A. Schmidt, E. Bänsch, M. Jahn, A. Luttmann, C. Niebuhr, J. Vehmeyer.
    Optimization of Engineering Processes Including Heating in Time-Dependent Domains.
    IFIP AICT Series Vol. 494, 452-461 pages, Springer Verlag, 2017.
  9. A. Schmidt, C. Niebuhr.
    (Ideas about) Adaptive FEM for problems with time-dependent domains.
    Oberwolfach Report 42/2016, 56-58 pages, Mathematisches Forschungsinstitut Oberwolfach (MFO), 2016.
  10. B. Denkena, A. Schmidt, P. Maaß, D. Niederwestberg, C. Niebuhr, J. Vehmeyer.
    Prediction of Temperature Induced Shape Deviations in dry Milling.
    15th CIRP Conference on Modelling Machining Operations (CIRP CMMO), 11.07.-12.07.2015, Karlsruhe, Germany.
    Procedia CIRP, 31:340-345, Elsevier, 2015.

    DOI: 10.1016/j.procir.2015.03.072
    online at: http://www.sciencedirect.com/science/article/pii/S221282711500387X

  11. B. Denkena, A. Schmidt, D. Niederwestberg, C. Niebuhr.
    Modeling a Thermomechanical NC-Simulation .
    14th CIRP Conference on Modeling of Machining Operations (CIRP CMMO), 13.06.-14.06.2013, Turin, Italy.

    online at: http://www.sciencedirect.com/science/article/pii/S2212827113003442