Calculation of Third-Order Elastic Constants of the Crystals of a TiNi-Based Alloy with Shape Memory


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Abstract

The numerical relationships between third-order elastic constants cijk of the crystals of a TiNi-based alloy showing the shape memory effect are obtained for the first time. TiNi-based alloys are well known and widely used in engineering and medicine owing to their unique effects of superelasticity and thermomechanical shape memory. Equations connecting the numerical values of third-order elastic constants of the crystals of the TiNi–2% Fe alloy with shape memory are obtained on the basis of simplified formulas using original and published data. Approximate numerical values of elastic constants are calculated taking into account the Cauchy conditions.

About the authors

S. A. Muslov

Moscow State Medical Stomatological University

Author for correspondence.
Email: muslov@mail.ru
Russian Federation, Moscow, 127473

A. I. Lotkov

Institute of Strength Physics and Materials Science, Siberian Branch, Russian Academy of Sciences

Email: muslov@mail.ru
Russian Federation, Tomsk, 634055

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