Arabian Journal for Science and Engineering

, Volume 44, Issue 2, pp 1221–1231 | Cite as

A New Approach to Modeling the Ductile Cast Iron Microstructure for a Finite Element Analysis

  • Jesus A. Basurto-Hurtado
  • G. I. Perez-Soto
  • Roque A. Osornio-Rios
  • Aurelio Dominguez-Gonzalez
  • L. A. Morales-HernandezEmail author
Research Article - Mechanical Engineering


In this article, a methodology for the generation of geometric models representing the microstructure of a ductile cast iron (DCI) is presented. This methodology is based on a series of image processing algorithms to extract the graphite nodules contours and the utilization of the Bezier curves to smooth the geometric models curves. For the contours obtained by the image processing stage and generated geometric models, the circularity is calculated using the circular shape factor index, in order to analyze the induced error through the discretization process by the image processing stage and the variation of the circularity as the design parameters of the geometric modeling change. On the other hand, the design parameters effect of the geometric models on the stress behavior in the microstructure, through a finite element analysis, is also analyzed. It is shown that as the Bezier curve degree increases, the circularity of the geometric models decreases, thus increasing the maximum stresses produced in the DCI microstructure. Further, it is also found that the number of interpolation points has a significant effect on the mechanical properties when the Bezier curves degrees are equal to 10 and 12 than for the lower degrees.


Bezier curves Geometric modeling Finite element analysis Circularity Ductile cast iron Image processing 


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The first author would like to thank CONACYT for the scholarship (CVU: 419770) given. The author is also grateful to the English Department of Engineer Faculty in San Juan del Rio, Qro. Mex., for proofreading this article.

Compliance with Ethical Standards

Conflict of interest

The authors declare that there is no conflict of interest regarding the publication of this paper.


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Copyright information

© King Fahd University of Petroleum & Minerals 2018

Authors and Affiliations

  1. 1.CA Mecatronica, Facultad de IngenieriaUniversidad Autonoma de Queretaro (UAQ)San Juan del RioMexico
  2. 2.Facultad de IngenieriaUniversidad Autonoma de Queretaro (UAQ)Santiago de QueretaroMexico

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