Journal of the Korean Ceramic Society (한국세라믹학회지)

The Korean Ceramic Society (한국세라믹학회)
권호 표지
DOI QR코드

DOI QR Code

A Stochastic Model for Virtual Data Generation of Crack Patterns in the Ceramics Manufacturing Process

  • Park, Youngho (Virtual Engineering Center, Korea Institute of Ceramic Engineering and Technology) ;
  • Hyun, Sangil (Virtual Engineering Center, Korea Institute of Ceramic Engineering and Technology) ;
  • Hong, Youn-Woo (Virtual Engineering Center, Korea Institute of Ceramic Engineering and Technology)
  • Received : 2019.09.30
  • Accepted : 2019.11.05
  • Published : 2019.11.30
Download PDF
⟨ Previous Next ⟩

Abstract

Artificial intelligence with a sufficient amount of realistic big data in certain applications has been demonstrated to play an important role in designing new materials or in manufacturing high-quality products. To reduce cracks in ceramic products using machine learning, it is desirable to utilize big data in recently developed data-driven optimization schemes. However, there is insufficient big data for ceramic processes. Therefore, we developed a numerical algorithm to make "virtual" manufacturing data sets using indirect methods such as computer simulations and image processing. In this study, a numerical algorithm based on the random walk was demonstrated to generate images of cracks by adjusting the conditions of the random walk process such as the number of steps, changes in direction, and the number of cracks.

Keywords

References

  1. K. Schwab, The Fourth Industrial Revolution; Crown Publishing Group, New York, 2017.
  2. A. Samuel, "Some Studies in Machine Learning Using the Game of Checkers," IBM J. Res. Dev., 3 [3] 210-29 (1959). https://doi.org/10.1147/rd.33.0210
  3. J. Schmidhuber, "Deep Learning in Neural Networks: An Overview," Neural Networks, 61 85-117 (2015). https://doi.org/10.1016/j.neunet.2014.09.003
  4. J. G. Lee, "Trends in Computational Materials Science Based on Density Functional Theory," J. Korean Ceram. Soc., 53 [2] 184-93 (2016). https://doi.org/10.4191/kcers.2016.53.2.184
  5. M. Swain, "Materials Science and Technology: Structure and Properties of Ceramics," Ed. by R.W. Cahn, P. Haasen, and E. J. Kramer, Wiley-VCH, 1993.
  6. W. J. Clegg, "Controlling Cracks in Ceramics," Science, 286 1097-99 (1999). https://doi.org/10.1126/science.286.5442.1097
  7. K. Bavelis, E. Gjonaj, and T. Weiland, "Modeling of Electrical Transport in Zinc Oxide Varistors," Adv. Radio Sci., 12 29-34 (2014). https://doi.org/10.5194/ars-12-29-2014
  8. Y. W. Hong, H. S. Shin, D. H. Yeo, and J. H. Kim, "Varistor Application of Cr-doped ZnO-$Sb_2O_3$ Ceramics," J. KIEEME, 23 354-58 (2010).
  9. R. Feynman, "The Brownian Movement," pp. 41-5 in The Feynman Lectures of Physics, Vol. I, 1964.
  10. M. Kac, "Random Walk and the Theory of Brownian Motion," Am. Math. Mon., 54 [7] 369-91 (1947). https://doi.org/10.2307/2304386
  11. B. Mandelbrot, "How Long is the coast of Britain? Statistical Self-Similarity and Fractional Dimension," Science, 156 636-38 (1967). https://doi.org/10.1126/science.156.3775.636
  12. S. Hyun, L. Pei, J.-F. Molinari, and M. O. Robbins, "Finite-Element Analysis of Contact between Elastic Self-Affine Surfaces," Phys. Rev. E: Stat., Nonlinear, Soft Matter Phys., 70 [2] 026117 (2004). https://doi.org/10.1103/PhysRevE.70.026117
  13. F. Aurenhammer, "Voronoi Diagrams - A Survey of a Fundamental Geometric Data Structure," ACM Comput. Surv., 23 [3] 345-405 (1991). https://doi.org/10.1145/116873.116880
  14. Y. Park and S. Hyun, "Effects of Grain Size Distribution on the Mechanical Properties of Polycrystalline Graphene," J. Korean Ceram. Soc. 54 [6] 506-10 (2017). https://doi.org/10.4191/kcers.2017.54.6.10
  15. G. W. Horgan and I. M. Young, "An Empirical Stochastic Model for the Geometry of Two-Dimensional Crack Growth in Soil," Geoderm, 96 [4] 263-76 (2000). https://doi.org/10.1016/S0016-7061(00)00015-X