Adaptive through-thickness integration strategy for shell elements

I.A. Burchitz, T. Meinders, J. Huetink

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

    Abstract

    Reliable numerical prediction of springback in sheet metal forming is essential for the automotive industry. Thereare numerous factors that influence the accuracy of springback prediction by using the finite element method. One of thereasons is the through-thickness numerical integration of shell elements. It is known that even for simple problems thetraditional integration schemes may require up to 50 integration points to achieve a high accuracy of springback analysis.An adaptive through-thickness integration strategy can be a good alternative. The strategy defines abscissas and weightsdepending on the integrand's properties and, thus, can adapt itself to improve the accuracy of integration. A concept of theadaptive through-thickness integration strategy for shell elements is presented. It is tested using a simple problem of bendingof a beam under tension. Results show that for a similar set of material and process parameters the adaptive Simpson's rulewith 7 integration points performs better than the traditional trapezoidal rule with 50 points. The adaptive through-thicknessintegration strategy for shell elements can improve the accuracy of springback prediction at minimal costs
    Original languageEnglish
    Title of host publicationMaterials processing and design: modeling, simulation and applications
    Subtitle of host publicationNUMIFORM '07 : proceedings of the 9th International Conference on Numerical Methods in Industrial Forming Processes, Porto, Portugal, 17-21 June, 2007
    EditorsJ.M.A. César de Sá, Abel D. Santos
    Place of PublicationMelville, NY
    PublisherAmerican Institute of Physics
    Pages699-704
    ISBN (Print)978-0-7354-0415-1
    DOIs
    Publication statusPublished - 2007
    Event9th International Conference on Numerical Methods in Industrial Forming Processes, NUMIFORM 2007 - Porto, Portugal
    Duration: 17 Jun 200721 Jun 2007
    Conference number: 9

    Publication series

    NameAIP Conference Proceedings
    PublisherAIP
    Number1
    Volume908
    ISSN (Print)0094-243X

    Conference

    Conference9th International Conference on Numerical Methods in Industrial Forming Processes, NUMIFORM 2007
    Abbreviated titleNUMIFORM
    CountryPortugal
    CityPorto
    Period17/06/0721/06/07

    Keywords

    • Sheet metal forming
    • Springback
    • Adaptive quadrature
    • Shell element
    • Implicit scheme

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  • Cite this

    Burchitz, I. A., Meinders, T., & Huetink, J. (2007). Adaptive through-thickness integration strategy for shell elements. In J. M. A. César de Sá, & A. D. Santos (Eds.), Materials processing and design: modeling, simulation and applications: NUMIFORM '07 : proceedings of the 9th International Conference on Numerical Methods in Industrial Forming Processes, Porto, Portugal, 17-21 June, 2007 (pp. 699-704). (AIP Conference Proceedings; Vol. 908, No. 1). Melville, NY: American Institute of Physics. https://doi.org/10.1063/1.2740892