Simulation of Steady Laser Hardening by an Arbitrary Lagrangian Eulerian Method

H.J.M. Geijselaers, J. Huetink

    Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

    Abstract

    One of the most practical methods for simulation of steady state thermal processing is the Arbitrary Lagrangian‐Eulerian method. Each calculation step is split into two phases. In the first phase, the Lagrangian phase, the element mesh remains attached to the material. The evolution of the state variables is monitored and the state at the end of the phase is calculated. In the second phase, the Eulerian phase, the mesh is, broadly speaking, restored to its original position with respect to a window attached to the moving heat source. The mesh is not restored to its exact original position, but some allowance is made perpendicular to the flow direction in order to capture movement of the free surfaces. In this paper a finite element model for Lagrangian simulation of thermo‐mechanical processes with phase transformations is combined with a second order discontinuous Galerkin method for modeling of Eulerian advection.
    Original languageEnglish
    Title of host publicationMaterials processing and design : modeling, simulation and applications
    Subtitle of host publicationNUMIFORM 2004 : proceedings of the 8th International Conference on Numerical Methods in Industrial Forming Processes
    EditorsSomnath Ghosh, Jose M. Castro, June K. Lee
    Place of PublicationMelville, NY
    PublisherAmerican Institute of Physics
    Pages1514-1519
    ISBN (Electronic)0-7354-0189-6
    ISBN (Print)0-7354-0188-8
    DOIs
    Publication statusPublished - 13 Jun 2004
    Event8th International Conference on Numerical Methods in Industrial Forming Processes, NUMIFORM 2004 - Columbus, United States
    Duration: 13 Jun 200417 Jun 2004
    Conference number: 8

    Publication series

    NameAIP Conference Proceedings
    PublisherAIP
    Volume712
    ISSN (Print)0094-243X

    Conference

    Conference8th International Conference on Numerical Methods in Industrial Forming Processes, NUMIFORM 2004
    Abbreviated titleNUMIFORM
    CountryUnited States
    CityColumbus
    Period13/06/0417/06/04

    Fingerprint

    Advection
    Galerkin methods
    Hardening
    Phase transitions
    Lasers
    Hot Temperature

    Cite this

    Geijselaers, H. J. M., & Huetink, J. (2004). Simulation of Steady Laser Hardening by an Arbitrary Lagrangian Eulerian Method. In S. Ghosh, J. M. Castro, & J. K. Lee (Eds.), Materials processing and design : modeling, simulation and applications: NUMIFORM 2004 : proceedings of the 8th International Conference on Numerical Methods in Industrial Forming Processes (pp. 1514-1519). (AIP Conference Proceedings; Vol. 712). Melville, NY: American Institute of Physics. https://doi.org/10.1063/1.1766743
    Geijselaers, H.J.M. ; Huetink, J. / Simulation of Steady Laser Hardening by an Arbitrary Lagrangian Eulerian Method. Materials processing and design : modeling, simulation and applications: NUMIFORM 2004 : proceedings of the 8th International Conference on Numerical Methods in Industrial Forming Processes. editor / Somnath Ghosh ; Jose M. Castro ; June K. Lee. Melville, NY : American Institute of Physics, 2004. pp. 1514-1519 (AIP Conference Proceedings).
    @inproceedings{6a08595064f44a5fa3163a42f30132e6,
    title = "Simulation of Steady Laser Hardening by an Arbitrary Lagrangian Eulerian Method",
    abstract = "One of the most practical methods for simulation of steady state thermal processing is the Arbitrary Lagrangian‐Eulerian method. Each calculation step is split into two phases. In the first phase, the Lagrangian phase, the element mesh remains attached to the material. The evolution of the state variables is monitored and the state at the end of the phase is calculated. In the second phase, the Eulerian phase, the mesh is, broadly speaking, restored to its original position with respect to a window attached to the moving heat source. The mesh is not restored to its exact original position, but some allowance is made perpendicular to the flow direction in order to capture movement of the free surfaces. In this paper a finite element model for Lagrangian simulation of thermo‐mechanical processes with phase transformations is combined with a second order discontinuous Galerkin method for modeling of Eulerian advection.",
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    Geijselaers, HJM & Huetink, J 2004, Simulation of Steady Laser Hardening by an Arbitrary Lagrangian Eulerian Method. in S Ghosh, JM Castro & JK Lee (eds), Materials processing and design : modeling, simulation and applications: NUMIFORM 2004 : proceedings of the 8th International Conference on Numerical Methods in Industrial Forming Processes. AIP Conference Proceedings, vol. 712, American Institute of Physics, Melville, NY, pp. 1514-1519, 8th International Conference on Numerical Methods in Industrial Forming Processes, NUMIFORM 2004, Columbus, United States, 13/06/04. https://doi.org/10.1063/1.1766743

    Simulation of Steady Laser Hardening by an Arbitrary Lagrangian Eulerian Method. / Geijselaers, H.J.M.; Huetink, J.

    Materials processing and design : modeling, simulation and applications: NUMIFORM 2004 : proceedings of the 8th International Conference on Numerical Methods in Industrial Forming Processes. ed. / Somnath Ghosh; Jose M. Castro; June K. Lee. Melville, NY : American Institute of Physics, 2004. p. 1514-1519 (AIP Conference Proceedings; Vol. 712).

    Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

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    AB - One of the most practical methods for simulation of steady state thermal processing is the Arbitrary Lagrangian‐Eulerian method. Each calculation step is split into two phases. In the first phase, the Lagrangian phase, the element mesh remains attached to the material. The evolution of the state variables is monitored and the state at the end of the phase is calculated. In the second phase, the Eulerian phase, the mesh is, broadly speaking, restored to its original position with respect to a window attached to the moving heat source. The mesh is not restored to its exact original position, but some allowance is made perpendicular to the flow direction in order to capture movement of the free surfaces. In this paper a finite element model for Lagrangian simulation of thermo‐mechanical processes with phase transformations is combined with a second order discontinuous Galerkin method for modeling of Eulerian advection.

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    Geijselaers HJM, Huetink J. Simulation of Steady Laser Hardening by an Arbitrary Lagrangian Eulerian Method. In Ghosh S, Castro JM, Lee JK, editors, Materials processing and design : modeling, simulation and applications: NUMIFORM 2004 : proceedings of the 8th International Conference on Numerical Methods in Industrial Forming Processes. Melville, NY: American Institute of Physics. 2004. p. 1514-1519. (AIP Conference Proceedings). https://doi.org/10.1063/1.1766743