Numerical simulation of experiments on determining the type of initial anisotropy of an elastic material

D.V. Khristich ^∗ , D.A. Sukhorukov ^∗∗ , M.Yu. Sokolova ^∗∗∗

Tula State University, Tula, 300012 Russia

E-mail: ^∗dmitrykhristich@rambler.ru, ^∗∗kvantildim@mail.ru, ^∗∗∗m.u.sokolova@gmail.com

Received March 12, 2021

ORIGINAL ARTICLE

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DOI: 10.26907/2541-7746.2021.2.214-225

For citation: Khristich D.V., Sukhorukov D.A., Sokolova M.Yu. Numerical simulation of experiments on determining the type of initial anisotropy of an elastic material. Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 2021, vol. 163, no. 2, pp. 214–225. doi: 10.26907/2541-7746.2021.2.214-225. (In Russian)

Abstract

The concept of canonical axes of anisotropy of the material, in which the largest number of elements of the elastic compliance tensor is equal to zero, is introduced. A program of experiments that allows one to determine the type of an anisotropic material without finding all the components of the elastic compliance tensor in an arbitrary laboratory coordinate system and, simultaneously, to detect the position of the canonical axes of anisotropy in the material is developed. A program of mechanical experiments is proposed to identify the type of initial elastic anisotropy of a material based on the results of experiments in the canonical axes of anisotropy for the case when they coincide with the axes of the laboratory coordinate system. Computer numerical simulation of the experiments is performed. The influence of experimental measurement errors on the identification results is investigated. It is shown that the developed criteria for identifying the type of material are applicable in the presence of measurement errors.

Keywords: anisotropic materials, elastic properties, identification, program of experiments

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