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High Throughput Determination of Creep Parameters Using Cantilever Bending: Part I - Steady-State

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Abstract

Variation of stress across the length and thickness of a cantilever during creep allows obtaining multiple pairs of strain rates and stress under steady-state condition. This work applies digital image correlation (DIC) and conjugate analytical models to obtain several such “strain rate–stress” pairs during steady-state creep by testing a single cantilever at a constant applied load. Furthermore, these strain rate–stress pairs are used to accurately determine the stress exponent of the material (e.g., Al and Pb). In addition, an empirical observation of plotting strain rate as a function of stress at fixed strain during primary creep for estimating stress exponent is extended to bending creep, wherein strain rates of the points in the cantilever lying on an iso-strain contour were plotted against the moment at the point to determine stress exponent. This study, thereby, proves that the “bending creep–DIC” combination is a high throughput test methodology for studying steady-state creep.

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References

  1. J-P. Poirier: Creep of Crystals (Cambridge University Press, Cambridge, U.K., 1985).

    Book  Google Scholar 

  2. ASTM E139-11(2018), Standard Test Methods for Conducting Creep, Creep-Rupture, and Stress-Rupture Tests of Metallic Materials (2018).

  3. S.I.A. Jalali, P. Kumar, and V. Jayaram: Creep of metallic materials in bending. JOM 71, 3563 (2019).

    Article  Google Scholar 

  4. H.J. Tapsell and A.E. Johnson: An investigation of the nature of creep under stresses produced by pure flexure. Mon. J. Inst. Met. 58, 387 (1935).

    Google Scholar 

  5. E.P. Popov: Bending of beams with creep. J. Appl. Phys. 20, 251 (1949).

    Article  Google Scholar 

  6. G.W. Hollenberg, G.R. Terwilliger, and R.S. Gordon: Calculation of stresses and strains in four-point bending creep tests. J. Am. Ceram. Soc. 54, 196 (1971).

    Article  CAS  Google Scholar 

  7. F.K. Zhuang, S.T. Tu, G.Y. Zhou, and Q.Q. Wang: A small cantilever beam test for determination of creep properties of materials. Fatigue Fract. Eng. Mater. Struct. 38, 257 (2015).

    Article  Google Scholar 

  8. G.T. Harris and H.C. Child: Creep testing by a cantilever-bending method. J. Iron Steel Inst. 165, 139 (1950).

    CAS  Google Scholar 

  9. A.R.A.F. Ragab and S.E.A. Bayoumi: Engineering Solid Mechanics: Fundamentals and Applications (CRC Press, Washington, D.C., 2018).

    Book  Google Scholar 

  10. J. Weertman: Creep of indium, lead, and some of their alloys with various metals. Trans. Metall. Soc. 218, 207 (1960).

    CAS  Google Scholar 

  11. S.I.A. Jalali, P. Kumar, and V. Jayaram: “ High Throughput Determination of Creep Parameters Using Cantilever Bending: Part II - Primary and Steady-State through Uniaxial Equivalency ”. J. Mater. Res. (2020).

  12. S. Straub and W. Blum: Does the “natural” third power, law of steady state creep hold for pure aluminum? Scr. Mater. 24, 1837 (1990).

    Article  CAS  Google Scholar 

  13. J. Weertman: Creep of aluminum single crystals. J. Appl. Phys. 27, 832 (1956).

    Article  CAS  Google Scholar 

  14. M.E. Kassner, P. Kumar, and W. Blum: Harper-Dorn creep. Int. J. Plast. 23, 980 (2007).

    Article  CAS  Google Scholar 

  15. D.A. Woodford: Measurement and interpretation of the stress dependence of creep at low stresses. Mater. Sci. Eng. 4, 146 (1969).

    Article  CAS  Google Scholar 

  16. S.I.A. Jalali, P. Kumar, and V. Jayaram: A System and Method for Determination of Power Law Creep Parameters from a Single Bending Test Indian Patent Application No. 201941028031, 2019.

  17. M.A. Sutton, J. Orteu, and H.W. Schreier: Image Correlation for Shape, Motion and Deformation Measurements (Springer, New York, 2009).

    Google Scholar 

  18. M.E. Kassner: Fundamentals of Creep in Metals and Alloys (Butterworth-Heinemann, Elsevier, Boston, Massachusetts, 2015).

    Google Scholar 

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Acknowledgments

The authors would like to thank the Aeronautical Research and Development Board, India (ARDB 0242), and Ministries of Human Resource Development and Power, Government of India (IMPRINT 0009), for financially supporting this work.

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Correspondence to Syed Idrees Afzal Jalali, Praveen Kumar or Vikram Jayaram.

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Jalali, S.I.A., Kumar, P. & Jayaram, V. High Throughput Determination of Creep Parameters Using Cantilever Bending: Part I - Steady-State. Journal of Materials Research 35, 353–361 (2020). https://doi.org/10.1557/jmr.2020.36

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  • DOI: https://doi.org/10.1557/jmr.2020.36

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