Homology Applied to Characterization of Welded Grain Structures in Low Carbon Steel

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Abstract:

In the present work, organization of grains within the weld zone in SS400 low carbon steel is investigated. A classification method based on the concept of topological quantity is proposed to investigate the heat affected zone (HAZ) and the center of the weld metal zone (WMZ). The image of each area includes various grains. By using the conventional image analysis techniques, we can analyze the distribution of its size. However, it is difficult to capture the structure of each. In addition, analyzing each grain does not mean the elucidation of the whole. By calculating the average amount of homology of the grains, we make a distinction in these areas quantitatively.

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399-405

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September 2012

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© 2012 Trans Tech Publications Ltd. All Rights Reserved

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[2] K. Kida, T. Honda, E. C. Santos, K. Saruwatari, M. Uryu, K. Houri and K. Kanemasu, Advanced Materials Research, Vol. 255 - 260 (2011), pp.4186-4192. Doi: 10. 4028/www. scientific. net/AMR. 255-260. 4186.

DOI: 10.4028/www.scientific.net/amr.255-260.4186

Google Scholar

[3] A. Martin, Introduction to Homotopy Theory (Universitext),. Springer Press (2011).

Google Scholar

[4] http: /chomp. rutgers. edu.

Google Scholar

[5] Kazuaki Nakane and Yasunari Tsuchihashi, A Simple Mathematical Model Utilizing a Topological Invariant for Automatic Detection of Tumor Areas in Digital Tissue Images, preprint.

DOI: 10.1186/1746-1596-8-s1-s27

Google Scholar