Thermo‐Mechanical Analysis with Phase Transformations

H.J.M. Geijselaers, J. Huetink

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

    Abstract

    Constitutive equations for simulations of thermo‐mechanical processes, involving solid‐solid phase transformations are derived. The rate of phase transformation is assumed to depend on temperature as well as stress state. The constitutive equations comprise latent heat of transformation, transformation dilatation and transformation induced plasticity. Consistent moduli are derived for finite time steps. The constitutive equations are implemented in a finite element model, which has displacements and heat flows as primary variables. The temperatures, phase fractions, stresses and equivalent strains are treated as state variables and are evaluated in element integration points. The model is demonstrated on simulations of laser hardening.
    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
    Pages1508-1513
    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

    Constitutive equations
    Phase transitions
    Latent heat
    Plasticity
    Hardening
    Heat transfer
    Temperature
    Lasers

    Cite this

    Geijselaers, H. J. M., & Huetink, J. (2004). Thermo‐Mechanical Analysis with Phase Transformations. 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. 1508-1513). (AIP Conference Proceedings; Vol. 712). Melville, NY: American Institute of Physics. https://doi.org/10.1063/1.1766742
    Geijselaers, H.J.M. ; Huetink, J. / Thermo‐Mechanical Analysis with Phase Transformations. 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. 1508-1513 (AIP Conference Proceedings).
    @inproceedings{f0cedeb4293147339b5ce259ab4d0f27,
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    abstract = "Constitutive equations for simulations of thermo‐mechanical processes, involving solid‐solid phase transformations are derived. The rate of phase transformation is assumed to depend on temperature as well as stress state. The constitutive equations comprise latent heat of transformation, transformation dilatation and transformation induced plasticity. Consistent moduli are derived for finite time steps. The constitutive equations are implemented in a finite element model, which has displacements and heat flows as primary variables. The temperatures, phase fractions, stresses and equivalent strains are treated as state variables and are evaluated in element integration points. The model is demonstrated on simulations of laser hardening.",
    author = "H.J.M. Geijselaers and J. Huetink",
    year = "2004",
    month = "6",
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    series = "AIP Conference Proceedings",
    publisher = "American Institute of Physics",
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    Geijselaers, HJM & Huetink, J 2004, Thermo‐Mechanical Analysis with Phase Transformations. 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. 1508-1513, 8th International Conference on Numerical Methods in Industrial Forming Processes, NUMIFORM 2004, Columbus, United States, 13/06/04. https://doi.org/10.1063/1.1766742

    Thermo‐Mechanical Analysis with Phase Transformations. / 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. 1508-1513 (AIP Conference Proceedings; Vol. 712).

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

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    AB - Constitutive equations for simulations of thermo‐mechanical processes, involving solid‐solid phase transformations are derived. The rate of phase transformation is assumed to depend on temperature as well as stress state. The constitutive equations comprise latent heat of transformation, transformation dilatation and transformation induced plasticity. Consistent moduli are derived for finite time steps. The constitutive equations are implemented in a finite element model, which has displacements and heat flows as primary variables. The temperatures, phase fractions, stresses and equivalent strains are treated as state variables and are evaluated in element integration points. The model is demonstrated on simulations of laser hardening.

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    Geijselaers HJM, Huetink J. Thermo‐Mechanical Analysis with Phase Transformations. 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. 1508-1513. (AIP Conference Proceedings). https://doi.org/10.1063/1.1766742