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Recovery of orientation distribution function of MA2-1hp magnesium alloy exposed to equal-channel angular pressing

  • Study of Structure and Properties
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Inorganic Materials Aims and scope

Abstract

The problem of the recovery of the orientation distribution function (ODF) of a magnesium sample according to the approximation by circular normal distributions is considered. Initial data represent incomplete unnormalized X-ray pole figures (PFs). The choice of the procedure is related to its possible application for materials with the low symmetry of the sample, unique solution in the chosen class of functions, and measurement error stability of pole figures.

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References

  1. Matthies, S., On the reproducibility of the orientation distribution function of texture samples from pole figures (Ghost phenomena), Phys. Status Solidi B, 1979, vol. 92, pp. K135–K137.

    Article  Google Scholar 

  2. Volkov, N.G. and Savelova, T.I., An ill-posed problem of crystal physics, Zh. Vychislit. Mat., Mat. Fiz., 1983, vol. 23, pp. 922–928.

    Google Scholar 

  3. Savelova, T.I., Ivanova, T.M., and Sypchenko, M.V., Metody resheniya nekorrektnykh zadach teksturnogo analiza i ikh prilozheniya (Methods of the Solution of Ill- Posed Problems of Texture Analysis and Their Applications), Moscow: Mosk. Inzh.-Fiz. Inst., 2012.

    Google Scholar 

  4. Savelova, T.I. and Ivanova, T.M., Methods of recovery of orientation distribution function by pole figures (a review), Zavod. Lab., Diagn. Mater., 2008, vol. 74, no. 7, pp. 25–33.

    Google Scholar 

  5. Serebryanyi, V.N., Perezhogin, V.Yu., Raab, G.I., Kopylov, V.I., Tabachkova, N.Yu., Sirotinkin, V.P., and Dobatkin, S.V., Structure, texture, and mechanical properties of an MA2-1hp magnesium alloy after twostage equal-channel angular pressing and intermediate annealing, Russ. Metall., 2015, no. 1, pp. 36–43.

    Article  Google Scholar 

  6. Ivanova, T.M. and Savelova, T.I., Robust method of approximating the orientation distribution function by canonical normal distributions, Phys. Met. Metallogr., 2006, vol. 101, pp. 114–119.

    Article  Google Scholar 

  7. Bunge, H.J., Texture Analysis in Materials Sciences. Mathematical Methods, London: Butterworths, 1982.

    Google Scholar 

  8. Matthies, S., Wenk, H.R., and Vinel, G.W., Some basic concepts of a texture analysis and comparison of three methods to calculate orientation distributions from pole figures, J. Appl. Crystallogr., 1988, vol. 21, pp. 285–304.

    Article  Google Scholar 

  9. Serebryanyi, V.N., Kurtasov, S.F., and Litvinovich, M.A., Investigation of errors of ODF upon inverse of pole figures using statistical method of ridge estimates, Zavod. Lab., Diagn. Mater., 2007, vol. 73, no. 4, pp. 29–34.

    Google Scholar 

  10. Kahaner, D., Moler, C., and Nash, S., Numerical Methods and Software, New Jersey: Prentice Hall, 1989.

    Google Scholar 

  11. Brandt, S., Data Analysis. Statistical and Computational Methods for Scientists and Engineers, New York: Springer-Verlag, 1999.

    Google Scholar 

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Correspondence to V. N. Serebryanyi.

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Original Russian Text © T.M. Ivanova, V.N. Serebryanyi, 2015, published in Zavodskaya Laboratoriya, Diagnostika Materialov, 2015, Vol. 81, No. 7, pp. 28–33.

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Ivanova, T.M., Serebryanyi, V.N. Recovery of orientation distribution function of MA2-1hp magnesium alloy exposed to equal-channel angular pressing. Inorg Mater 52, 1472–1477 (2016). https://doi.org/10.1134/S0020168516150061

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  • DOI: https://doi.org/10.1134/S0020168516150061

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