The Quantization of the Structure of Fisheyes via Homology Method

Abstract:

Martensitic high carbon high strength SAE 52100 bearing steel is one of the main alloys used for rolling contact applications where high wear resistance are required. Due to its high fatigue strength, SAE 52100 is recently being used not only for the production of bearings but also shafts. In this work, quenched SAE 52100 steel fatigue strength under rotating bending was investigated. Especially, we focus on “fisheye around inclusion” where the fatigue crack starts. Quantitative evaluation of its optical micrograph has not been enough carried out. In order to develop easy evaluation method for the fisheye area, we apply homology technique to the optical observation.

• Periodical: Applied Mechanics and Materials (Volume 307)
• Pages: 409-414
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.307.409
• Online since: February 2013
• Authors: Nakane Kazuaki, Koshiro Mizobe, Edson Costa Santos, Kida Katsuyuki
• Keywords: Fatigue, Homology Method, Inclusion, Refinement, Repeated Heat Treatment, SAE 52100 Steel

References

[1] A. F. Madayag. (1969) Metal Fatigue Theory and Desigen, John Wiley & Sons Inc., USA.

[2] W. D. Syniutaa, C. J. Corrowa. (1970) Scanning electron microscope studies of fracture mechanisms of SAE 52100 bearing steel, Wear, Vol. 15, No. 3, pp.171-186.

DOI: 10.1016/0043-1648(70)90192-4

[3] Y. Murakami, (2002) Effects of Small Defects and Nonmetallic Inclusions, Elsever Science Ltd., UK.

[4] T. Furukawa, S. Onuma and K. Hosogai. (1986) Effect of Core Hardness and Notch Shape on the Rotating Bending Fatigue Limit of Induction Surface Hardened S45C Steel, Tetsu- to- Hagane, Vol. 72, No. 1, pp.62-69, (in Japanese).

DOI: 10.2355/tetsutohagane1955.72.1_62

[5] K. Shiozawa, L. Tao and S. Ishihara. Subsurface Fatigue Crack Initiation Behavior and S-N Curve Characteristics in High Carbon-Chromium Bearing Steel(Special Issue on Fatigue), Journal of the Society of Materials Science, Japan, Vol. 48, No. 10 (1999).

DOI: 10.2472/jsms.48.1095

[6] N. Oguma, H. Harada and T. Sakai. (2003) Mechanism of Long Life Fatigue Fracture Induced by Interior Inclusion for Bearing Steel in Rotating Bending., Journal of the Society of Materials Science Japan, Vol. 52, No. 11, pp.1292-1297, (in Japanese).

DOI: 10.2472/jsms.52.1292

[7] M. Nakajima, N. Kajiyama, M. Itoga, K. Tokaji and H. Ko, Experimental Estimation of Subsurface Crack Initiation Lives and Intrinsic Fatigue Limit in a High Strength Steel, Transactions of the Japan Society of Mechanical Engineers. A Vol. 70, No. 699 (2004).

DOI: 10.1299/kikaia.70.1636

[8] H. Koike, E. C. Santos, K. Kida, T. Honda and J. Rozwadowska. Effect of Repeated Induction Heating on Fatigue Crack Propagation in SAE 52100 Bearing Steel, Advanced Material Reserch, Vols. 217-218(2011).

DOI: 10.4028/www.scientific.net/amr.217-218.1266

[9] Koshiro Mizobe, Edson Costa Santos, Takashi Honda, Hitonobu Koike, Katsuyuki Kida, Takuya Shibukawa, Observation of non-metallic inclusions on repeatedly quenched SAE 52100 bearing steel fracture surfaces, Int. J. of Materials and Product Technology, Vol. 44, No. 3/4(2012).

DOI: 10.1504/ijmpt.2012.050186

[10] M. Arkowitz, Introduction to Homotopy Theory (Universitext),. Springer Press (2011).

[11] 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

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