Tensile Strength Study of Stainless-Steel using Weibull Distribution

  • Md Shahnewaz Bhuiyan Ahsanullah University of Science and Technology (AUST), Dhaka, Bangladesh
  • Tanzida Anzum Cumilla Cantonment, Cumilla, Bangladesh
  • Forhad-Ul-Hasan Bogra Cantonment, Bogra, Bangladesh
  • M. Azizur Rahman Ahsanullah University of Science and Technology (AUST), Dhaka, Bangladesh
Keywords: Weibull Distribution, Tensile Strength, Stainless Steel, Reliability


In the present study, the distribution pattern of the ultimate tensile strength of 304-grade stainless steel was investigated using a two-parameter Weibull distribution function. During tensile testing, it was observed that the ultimate tensile strength varied from specimen to specimen (ranges from 878 to 1006 MPa). The results have revealed that the distribution pattern of the tensile strength can be described by the two-parameter Weibull distribution equation. Moreover, the fracture statistics of the stainless steel were examined by plotting the survival probability of the specimen against the applied stress to the specimen. It has been observed that the relationship between the survival probability and the applied stresses can be described by the Weibull model. It also provides design engineers with a tool that will help them to present the necessary mechanical properties with confidence.


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Aksel, H., & Eren, O. (2015). A Discussion on the Advantages of Steel Structures in the Context of Sustainable Construction. New Arch-International Journal of Contemporary Architecture, 2(3), 46–53. https://doi.org/10.14621/tna.20150405

ASTM standard 407-07. (2005). ASTM 407-07, Standard Practice for Microetching Metals and Alloys, ASTM International, West Conshohocken, PA, 2007, 1–21. https://doi.org/10.1520/E0407-07.2

ASTM E8/E8M-16ae1. (2013). Standard Test Methods for Tension Testing of Metallic Materials. ASTM International, 1–27. (Extracted on Dec. 02, 2020). Source: http://www.astm.org/Standards/E8.htm

Azeez, S., Mashinini, M., & Akinlabi, E. (2019). Road map to sustainability of friction stir welded Al-Si-Mg joints using bivariate weibull analysis. Procedia Manufacturing, 33, 35–42. https://doi.org/10.1016/j.promfg.2019.04.006

Bahrami, A., & Taheri, P. (2019). A Study on the Failure of AISI 304 Stainless Steel, 1–7.

Bedi, R., & Chandra, R. (2009). Fatigue-life distributions and failure probability for glass-fiber reinforced polymeric composites. Special Issue on the 12th European Conference on Composite Materials, ECCM 2006, 69(9), 1381–1387. https://doi.org/10.1016/j.compscitech.2008.09.016

Ben Fredj, N., Sidhom, H., & Braham, C. (2006). Ground surface improvement of the austenitic stainless steel AISI 304 using cryogenic cooling. Surface and Coatings Technology, 200(16–17), 4846–4860. https://doi.org/10.1016/j.surfcoat.2005.04.050

Bergman, B. (1984). On the estimation of the Weibull modulus. Journal of Materials Science Letters, 3(8), 689–692. https://doi.org/10.1007/BF00719924

Birbilis, N., Cavanaugh, M. K., & Buchheit, R. G. (2006). Electrochemical behavior and localized corrosion associated with Al7Cu2Fe particles in aluminum alloy 7075-T651. Corrosion Science, 48(12), 4202–4215. https://doi.org/10.1016/j.corsci.2006.02.007

Bony, S. Z., & Rahman, S. (2014). Practice of Real Estate Business in Bangladesh: Prospects & Problems of High-rise building. IOSR Journal of Business and Management, 16(7), 01–07. https://doi.org/10.9790/487x-16740107

Chakma, J. (2019). Steel industry booming on mega projects. (Extracted on Dec. 02, 2020). Source: https://www.thedailystar.net/business/news/steel-industry-booming-mega-projects-1735855

Datsiou, K. C., & Overend, M. (2018). Weibull parameter estimation and goodness-of-fit for glass strength data. Structural Safety, 73, 29–41. https://doi.org/10.1016/j.strusafe.2018.02.002

Della-Rovere, C. A., Castro-Rebello, M., & Kuri, S. E. (2013). Corrosion behavior analysis of an austenitic stainless steel exposed to fire. Engineering Failure Analysis, 31, 40–47. https://doi.org/10.1016/j.engfailanal.2013.01.044

Evans, A. G. (1983). Statistical aspects of cleavage fracture in steel. Metallurgical Transactions A, 14(7), 1349–1355. https://doi.org/10.1007/BF02664818

Feng, Q. B., Li, Y. B., Carlson, B. E., & Lai, X. M. (2019). Study of resistance spot weldability of a new stainless steel. Science and Technology of Welding and Joining, 24(2), 101–111. https://doi.org/10.1080/13621718.2018.1491378

Fukui, Y., Yamanaka, N., & Enokida, Y. (1997). Bending strength of an Al-Al3Ni functionally graded material. Composites Part B: Engineering, 28(1–2), 37–43. https://doi.org/10.1016/s1359-8368(96)00018-2

Glaeser, A. M. (1997). The use of transient FGM interlayers for joining advanced ceramics. Composites Part B: Engineering, 28(1–2), 71–84. https://doi.org/10.1016/s1359-8368(97)00039-5

Gürbüz, H., Şeker, U., & Kafkas, F. (2017). Investigation of effects of cutting insert rake face forms on surface integrity. International Journal of Advanced Manufacturing Technology, 90(9–12), 3507–3522. https://doi.org/10.1007/s00170-016-9652-7

Hallinan, A. J. (1993). A Review of the Weibull Distribution. Journal of Quality Technology, 25(2), 85–93. https://doi.org/10.1080/00224065.1993.11979431

Islam, F. A. S., Alam, M. M.. I., & Barua, S. (2016). Investigation on the uses of steel as a sustainable construction material in Bangladesh., International Journal of Scientific Engineering and Applied Science (IJSEAS), 2(1), 41–52..

Islam, M. A. (2015). Corrosion behaviours of high strength TMT steel bars for reinforcing cement concrete structures. Procedia Engineering, 125, 623–630. https://doi.org/10.1016/j.proeng.2015.11.084

Khatak, H. S., Gnanamoorthy, J. B., & Rodriguez, P. (1996). Studies on the influence of metallurgical variables on the stress corrosion behavior of AISI 304 stainless steel in sodium chloride solution using the fracture mechanics approach. Metallurgical and Materials Transactions A: Physical Metallurgy and Materials Science, 27(5), 1313–1325. https://doi.org/10.1007/BF02649868

Király, M., Antók, D. M., Horváth, L., & Hózer, Z. (2018). Evaluation of axial and tangential ultimate tensile strength of zirconium cladding tubes. Nuclear Engineering and Technology, 50(3), 425–431. https://doi.org/10.1016/j.net.2018.01.002

Kumar, P. S., Acharyya, S. G., Rao, S. V. R., & Kapoor, K. (2017). Distinguishing effect of buffing vs. grinding, milling and turning operations on the chloride induced SCC susceptibility of 304L austenitic stainless steel. Materials Science and Engineering A, 687, 193–199. https://doi.org/10.1016/j.msea.2017.01.079

Kweon, H. D, Kim, J. W., Song, O., & Oh, D. (2020). Determination of true stress-strain curve of type 304 and 316 stainless steels using a typical tensile test and finite element analysis. Nuclear Engineering and Technology, (in press). https://doi.org/10.1016/j.net.2020.07.014

Ma, Y., Zhang, J., Feng, P., Yu, D., & Xu, C. (2018). Study on the evolution of residual stress in successive machining process. International Journal of Advanced Manufacturing Technology, 96, 1025–1034. https://doi.org/10.1007/s00170-017-1542-0

Mohd, S., Bhuiyan, M. S., Nie, D., Otsuka, Y., & Mutoh, Y. (2015). Fatigue strength scatter characteristics of JIS SUS630 stainless steel with duplex S-N curve. International Journal of Fatigue, 82, 371–378. https://doi.org/10.1016/j.ijfatigue.2015.08.006

Monrrabal, G., Bautista, A., Guzman, S., Gutierrez, C., & Velasco, F. (2019). Influence of the cold working induced martensite on the electrochemical behavior of AISI 304 stainless steel surfaces. Journal of Materials Research and Technology, 8(1), 1335–1346. https://doi.org/10.1016/j.jmrt.2018.10.004

Monteiro, S. N., Nascimento, L. F. C., Lima, É. P., Luz, F. S. da, Lima, E. S., & Braga, F. de O. (2017). Strengthening of stainless steel weldment by high temperature precipitation. Journal of Materials Research and Technology, 6(4), 385–389. https://doi.org/10.1016/j.jmrt.2017.09.001

Nur, S. A. (2016). Steel structures gaining popularity in cities. (Extracted on Dec. 02, 2020). Source: https://dailyasianage.com/news/28068/steel-structures-gaining-popularity-in-cities

Rahman, M. (2019). Curbing air pollution. The Finincia Express. (Extracted on Dec. 02, 2020). Source: https://thefinancialexpress.com.bd/views/views/curbing-air-pollution-1577111648

Sanaullah, M., Rahman, J., Ibrahim, I., & Rahman, M. S. (2019). Behavior of Concrete Filled Stainless Steel Tubular Column Under Axial Loads, MIST Journal of Science and Technology, 7(1), 9–18.

Sungho, P., Noseok, P., & Jaehoon, K. (2010). A statistical study on tensile characteristics of stainless steel at elevated temperatures. Journal of Physics: Conference Series, 240. https://doi.org/10.1088/1742-6596/240/1/012083

Sutanto, H. (2007). Residual stresses on high-speed milling of hardened steel using CBN cutting tool. Journal Tecknolgi of Media Teknika, 7(2), 1-7.

Tiryakioǧlu, M., Hudak, D., & Ökten, G. (2009). On evaluating Weibull fits to mechanical testing data. Materials Science and Engineering A, 527, 397–399. https://doi.org/10.1016/j.msea.2009.08.014

United Nations (2020). World Economic Situation and Prospects 2020. (Extracted on Dec. 02, 2020). Source: https://www.un.org/development/desa/dpad/publication/world-economic-situation-and-prospects-2020

Wang, H., Shi, Z., Yaer, X., Tong, Z., & Du, Z. (2019). High mechanical performance of AISI304 stainless steel plate by surface nanocrystallization and microstructural evolution during the explosive impact treatment. Journal of Materials Research and Technology, 8(1), 609–614. https://doi.org/10.1016/j.jmrt.2018.05.010

Wang, Q. G., Apelian, D., & Lados, D. A. (2001). Fatigue behavior of A356-T6 aluminum cast alloys. Part I. Effect of casting defects. Journal of Light Metals, 1(1), 73–84. https://doi.org/10.1016/S1471-5317(00)00008-0

Weibull, W. (1951). A Statistical Distribution Function of Wide Applicability. Journal of Applied Mechanics, 18, 293–297.

Zeng, H. H., Yan, R., Peng, F. Y., Zhou, L., & Deng, B. (2017). An investigation of residual stresses in micro-end-milling considering sequential cuts effect. International Journal of Advanced Manufacturing Technology, 91, 3619–3634. https://doi.org/10.1007/s00170-017-0088-5

How to Cite
Bhuiyan, M. S., Anzum, T., Forhad-Ul-Hasan, & Rahman, M. A. (2020). Tensile Strength Study of Stainless-Steel using Weibull Distribution. MIST INTERNATIONAL JOURNAL OF SCIENCE AND TECHNOLOGY, 8(2), 01-06. https://doi.org/10.47981/j.mijst.08(02)2020.197(01-06)