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Verfahren zur statistischen Analyse von gestörten Gitterstrukturen

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Mathematik Schlüsseltechnologie für die Zukunft

Abstract

This paper introduces a method for solving some special problems of determining the quality of directionally solidified matters. The method is developed for the quantitative characterization of the degree of regularity of planar quasi-lattice structures. It is particularly suitable for systems of objects distributed according to a disturbed lattice. The statistical analysis leads to a regularity plot and some regularity parameters. The application of the method to some metallic and nonmetallic examples is demonstrated. Finally, a simple model for such structures is discussed.

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Literatur

  1. Alberny, R., Serra, J. & Turpin M. Use of covariograms for dendrite arm spacing measurements Trans. TMS-AIME 245:55–59 (1969).

    Google Scholar 

  2. Berndt, S., Bretschneider J., Helm, H. & Stoyan D. Characterization of the degree of regularity of 2d-random quasi-lattice structures. Submitted to Mat. Ch. (1995).

    Google Scholar 

  3. Jacobi, H. & Schwerdtfeger, K. Dendrite morphology of steady state unidi rectional solidified steel. Metall. Trans. 7A:811–820 (1976).

    Google Scholar 

  4. Lorz, U. & Ohser, J. Quantitative Gefügeanalyse—Theoretische Grundlagen und Anwendung. Freiberger Forschungshefte, Deutscher Verlag für Grund stoffindustrie, Leipzig (1994).

    Google Scholar 

  5. Lux, B. Konstitutionelle Unterkühlung und Bildung eutektischer Subkörner in Fe-C-Si-Legierungen mit Lamellengraphit. Giesserei, techn.-wiss. Beihefte 18:219–229 (1966).

    Google Scholar 

  6. Sahm, P.R. Erstarrung metallischer Schmelzen, Vortragstexte eines Symposiums der Deutschen Gesellschaft für Metallkunde, Informationsgesellschaft Verlag, Oberursel (1988).

    Google Scholar 

  7. Saxl, I. Models and characteristics of spatial arrangement and their applications in fractography. Proceedings of the International Conference on Fractography 10–13 October 1994, Stará Lesná, Slovakia Inst. Mat. Research SAV, Košice pp. 37–46 (1994).

    Google Scholar 

  8. Schwerdtfeger, K. Metallurgie des Stranggießens-Gießen und Erstarren von Stahl. Stahleisen mbH, Düsseldorf (1992).

    Google Scholar 

  9. Schumann, H. Metallographie. Deutscher Verlag für Grundstoffindustrie, Leipzig (1989).

    Google Scholar 

  10. Stoyan, D. & Stoyan, H. Fractals, Random Shapes and Point Fields. Wiley & Sons, Chichester (1994).

    MATH  Google Scholar 

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© 1997 Springer-Verlag Berlin Heidelberg

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Stoyan, D., Berndt, S. (1997). Verfahren zur statistischen Analyse von gestörten Gitterstrukturen. In: Hoffmann, KH., Jäger, W., Lohmann, T., Schunck, H. (eds) Mathematik Schlüsseltechnologie für die Zukunft. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-60550-5_38

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  • DOI: https://doi.org/10.1007/978-3-642-60550-5_38

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-64453-5

  • Online ISBN: 978-3-642-60550-5

  • eBook Packages: Springer Book Archive

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