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JOURNALS // Meždunarodnyj naučno-issledovatel'skij žurnal // Archive

Meždunar. nauč.-issled. žurn., 2018 Issue 10(76), Pages 15–21 (Mi irj282)

PHYSICS AND MATHEMATICS

Visualization of matrix of elastic properties of crystals using specialized graphic packets

S. A. Muslov, A. A. Korneev, A. A. Sinitsyn, N. V. Zaitseva, I. L. Samosadnaya, I. V. Gavrilenkova, S. S. Pertsov

State-Financed Educational Institution of the Higher Professional Education Moscow State Medical Stomatological University (MSMSU) named after A.I.Evdokimov of the Ministry of Health of the Russian Federation

Abstract: A review of the means of visualizing elastic properties of cubic crystals by the matrix of elastic constants is performed. As an example, the measurement data for cij cubic TiNi single crystals is used. It is known for its martensitic transformations, shape memory effects and super-elasticity, as well as TiFe crystals isomorphic to nickelide titanum. The matrix of elastic constants of crystals was visualized using the program of computer algebra Mathcad, ELATE calculation and graphics programs: Elastic tensor analysis and SC-EMA: Self-Consistent Elasticity of Multi-phase Aggregates. The characteristic surfaces of Young’s modulus, the shift, and the Poisson’s ratio are obtained.

Keywords: cubic crystals, elastic properties, constants, modules, Poisson's ratio, specialized graphics packages.

Received: 17.10.2018

DOI: 10.23670/IRJ.2018.76.10.002


 English version:
DOI: 10.23670/IRJ.2018.76.10.002


© Steklov Math. Inst. of RAS, 2024