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Poisson Ratio of TiNi

  • PHYSICOCHEMICAL FUNDAMENTALS OF CREATING MATERIALS AND TECHNOLOGIES
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Inorganic Materials: Applied Research Aims and scope

Abstract

A review of the published data and methods for calculating the Poisson ratio of the TiNi intermetallic compound in the poly- and single-crystal state is performed. The results of our own research are also presented. Significant variability of the presented data is noted, which is due to differences in the thermomechanical processing of the alloys and the measurement and calculation methods used. By averaging the matrices of elastic constants and compliance coefficients using the Voigt, Reuss, and Hill approximations, we obtained the values of the parameters of the effective elastic properties of TiNi polycrystals and calculated the Poisson ratio. Using analytical expressions to calculate the values of the extreme values, the extrema of the Poisson ratio of cubic TiNi crystals are determined for standard orientations. On the basis of a number of data, TiNi crystals are auxetics (materials having negative Poisson ratio values); on the basis of other data, they are not. We found that TiNi crystals belong to the so-called partial auxetics; in this case, the signs of the inequalities (s12 < 0, s = s11 + s12 – s44/2 > 0 or s12 > 0, s = s11 + s12 – s44/2 < 0) are opposite. The values of the Poisson ratio TiNi averaged over the transverse directions of deformation are analyzed. Isosurfaces of the Poisson ratio and their sections are presented using the ELATE computer graphics package and the M-ATHCAD computer algebra program. Aspects of TiNi elastic anisotropy, its parameters, and their relationship to martensitic transformations in TiNi and alloys based on it are discussed.

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Funding

This work was supported by the State Assignment of the Institute of Strength Physics and Materials Science of Siberian Branch of the Russian Academy of Sciences (project no. FWRW-2021-0004).

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Authors and Affiliations

  1. Moscow State University of Medicine and Dentistry, Ministry of Healthcare of the Russian Federation, 127473, Moscow, Russia

    S. A. Muslov

  2. Institute of Strength Physics and Materials Science, Siberian Branch, Russian Academy of Sciences, 634055, Tomsk, Russia

    A. I. Lotkov & V. N. Timkin

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  1. S. A. Muslov
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Correspondence to S. A. Muslov, A. I. Lotkov or V. N. Timkin.

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Translated by A. Muravev

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Muslov, S.A., Lotkov, A.I. & Timkin, V.N. Poisson Ratio of TiNi. Inorg. Mater. Appl. Res. 13, 306–317 (2022). https://doi.org/10.1134/S2075113322020307

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