Geodesic
Numerical simulation of experiments on determining the type of initial anisotropy of an elastic material
Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 163 (2021) no. 2, pp. 214-225

Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

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, program of experiments.
Mots-clés : identification 
@article{UZKU_2021_163_2_a7,
     author = {D. V. Khristich and D. A. Sukhorukov and M. Yu. Sokolova},
     title = {Numerical simulation of experiments on determining the type of initial anisotropy of an elastic material},
     journal = {U\v{c}\"enye zapiski Kazanskogo universiteta. Seri\^a Fiziko-matemati\v{c}eskie nauki},
     pages = {214--225},
     publisher = {mathdoc},
     volume = {163},
     number = {2},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/UZKU_2021_163_2_a7/}
}
TY  - JOUR
AU  - D. V. Khristich
AU  - D. A. Sukhorukov
AU  - M. Yu. Sokolova
TI  - Numerical simulation of experiments on determining the type of initial anisotropy of an elastic material
JO  - Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki
PY  - 2021
SP  - 214
EP  - 225
VL  - 163
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/UZKU_2021_163_2_a7/
LA  - ru
ID  - UZKU_2021_163_2_a7
ER  - 
%0 Journal Article
%A D. V. Khristich
%A D. A. Sukhorukov
%A M. Yu. Sokolova
%T Numerical simulation of experiments on determining the type of initial anisotropy of an elastic material
%J Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki
%D 2021
%P 214-225
%V 163
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/UZKU_2021_163_2_a7/
%G ru
%F UZKU_2021_163_2_a7
D. V. Khristich; D. A. Sukhorukov; M. Yu. Sokolova. Numerical simulation of experiments on determining the type of initial anisotropy of an elastic material. Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 163 (2021) no. 2, pp. 214-225. http://geodesic.mathdoc.fr/item/UZKU_2021_163_2_a7/