Skip to main content

Size and Spatial Distributions Characterization of Graphite Nodules Based on Connectivity by Dilations

  • Conference paper
Mathematical Morphology and Its Applications to Image and Signal Processing (ISMM 2011)

Abstract

Microstructure in graphite nodules plays a fundamental role in mechanical properties in cast iron. Traditional measures used to study spheroid graphite are nodules density, nodularity, volume fraction and mean size. However, sometimes these parameters do not permit a good characterization of the microstructure since they do not allow the discrimination of different regions. In fact, other measures such as size and spatial distributions enable a better understanding of mechanical properties that can be obtained either by altering certain processing variables or through various heat treatments. In the present paper a method to characterize graphite nodules microstructure based on the connectivity generated by dilations is introduced. This approach, which takes into account size and spatial distributions of graphite, permits to relate the microstructure of graphite nodules with the wear behavior.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Braga-Neto, U., Goutsias, J.: A Multiscale Approach to Connectivity. Computer Vision and Image Understanding 89, 70–107 (2003)

    Article  MATH  Google Scholar 

  2. Braga-Neto, U.: Multiscale Connected Operators. J. of Math Imaging and Vis. 22, 199–216 (2005)

    Article  MathSciNet  Google Scholar 

  3. Dommarco, R.C., Jaureguiberry, A.J., Sikora, J.A.: Rolling contact fatigue resistance of ductile iron with different nodules counts and matrix microstructures. Wear 261, 172–179 (2006)

    Article  Google Scholar 

  4. Heijmans, H.: Morphological image operators. Academic Press, USA (1994)

    MATH  Google Scholar 

  5. Heijmans, H.: Connected morphological operators for binary images. Computer Vision and Image Understanding 73(1), 99–120 (1999)

    Article  MathSciNet  MATH  Google Scholar 

  6. Imasogie, B.I., Wendt, U.: Characterization of graphite particle shape in spheroidal graphite iron using a computer-based image analyzer. Journal of Minerals and Materials Characterization and Engineering 3, 1–12 (2004)

    Article  Google Scholar 

  7. Karl-Fredrik, N., Vratko, V.: Analysis of ductile cast iron tensile ductility variation to casting defects and material microstructure. Materials Science and Engineering A 502, 54–63 (2009)

    Article  Google Scholar 

  8. Morales-Hernandez, L.A., Terol-Villalobos, I.R., Dominguez-Gonzalez, A., Manriquez-Guerrero, F., Herrera-Ruiz, G.: Spatial distribution and spheroidicity characterization of graphite nodules based on morphological tools. Journal of Materials Processing Technology 210(2), 335–342 (2010)

    Article  Google Scholar 

  9. Nabil, F., Aly, A., Moenes, S.: C, Si and Ni as alloying elements to vary carbon equivalent of austenitic ductile cast iron: microstructure and mechanical properties. Materials Science and Engineering A 504, 81–89 (2009)

    Article  Google Scholar 

  10. Ronse, R.: Set-theoretical algebraic approaches to connectivity in continuous or digital spaces. J. of Math Imaging and Vis. 8, 41–58 (1998)

    Article  MathSciNet  Google Scholar 

  11. Ronse, C., Serra, J.: Geodesy and connectivity in lattices. Fundadenta Informaticae 46, 349–395 (2001)

    MathSciNet  MATH  Google Scholar 

  12. Serra, J.: Image Analysis and Mathematical Morphology. Theoretical advances, vol. 2. Academic Press, New York (1988)

    Google Scholar 

  13. Serra, J.: Connectivity on complete lattices. J. of Math. Imaging and Vis. 9(3), 231–251 (1998)

    Article  MathSciNet  MATH  Google Scholar 

  14. Serra, J.: Connection for sets and functions. Fundamenta Informaticae 41, 147–186 (2000)

    MathSciNet  MATH  Google Scholar 

  15. Soille, P.: Morphological Image Analysis: Principles and Applications. Springer, Berlin (1999)

    Book  MATH  Google Scholar 

  16. Sosa, A.D., Echeverría, M.D., Moncada, O.J., Míngolo, N., Sikora, J.A.: Influence of nodule count on residual stresses and distortion in thin wall ductile iron plates of different matrices. Journal of Materials Processing Technology 209, 5545–5551 (2009)

    Article  Google Scholar 

  17. Tzafestas, C.S., Maragos, P.: Shape connectivity: multiscale analysis and application to generalized granulometries. J. of Math. Imaging and Vis. 17, 109–129 (2002)

    Article  MathSciNet  MATH  Google Scholar 

  18. Xin, T., Hong, Z., Lu-quan, R., Zhi-hui, Z., Ren-doing, C.: Effects of graphite shape on thermal fatigue resistance of cast iron with biomimetic non-smooth surface. International Journal of Fatigue 31, 668–677 (2009)

    Article  Google Scholar 

  19. Wilkinson, M.H.F., Ouzounis, G.K.: Advances in connectivity and connected attribute filters. In: Advances in Imaging and Electron Phisics, ch. 5, pp. 211–275 (2010)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2011 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Morales-Hernández, L.A., Herrera-Navarro, A.M., Manriquez-Guerrero, F., Peregrina-Barreto, H., Terol-Villalobos, I.R. (2011). Size and Spatial Distributions Characterization of Graphite Nodules Based on Connectivity by Dilations. In: Soille, P., Pesaresi, M., Ouzounis, G.K. (eds) Mathematical Morphology and Its Applications to Image and Signal Processing. ISMM 2011. Lecture Notes in Computer Science, vol 6671. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-21569-8_40

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-21569-8_40

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-21568-1

  • Online ISBN: 978-3-642-21569-8

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics