Transversally isotropic elastic material applicable for permafrost rocks: а case study
https://doi.org/10.31242/2618-9712-2023-28-2-337-345
Abstract
In this paper we present the principles for a new method of quaternion factorization of the equilibrium equations for the transversally isotropic elasticity. Natural and artificial materials have anisotropy of physical properties. Many of them have transversal isotropy of elastic properties. Transversally isotropic materials are used in many technologies and industries, for example, in rock mechanics under permafrost conditions. Mathematical description of such materials involves the model of a transversally-isotropic material with 5 independent elastic constants. The equations of this model are more complicated than those for isotropic elasticity, and their analysis causes much more difficulties. One of the methods for analyzing such equations is factorization, i.e. reduction to the solution of simpler first-order equations.
Supporting agencies: This study was supported by the Russian Science Foundation (grant number 20-31-90065).
About the Authors
Yu. M. GRIGOR’EV
Ammosov North-Eastern Federal University; Academy of Sciences of the Republic of Sakha (Yakutia)
Russian Federation
Russian Federation
GRIGOR’EV, Yuri Mikhailovich, Dr. Sci (Phys. and Math.), Associate Professor, Deputy rector for international scientific and technical activities, Head of the Theoretical Physics Department; Leading Researcher
AuthorID: 14623701400, ReseacherID: K-8270-2016
Yakutsk
A. M. YAKOVLEV
LLC Mytona
Russian Federation
Russian Federation
YAKOVLEV, Andrey Mikhailovich, Machine Learning Specialist
Yakutsk
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Review
For citations:
GRIGOR’EV Yu.M., YAKOVLEV A.M. Transversally isotropic elastic material applicable for permafrost rocks: а case study. Arctic and Subarctic Natural Resources. 2023;28(2):337-345. (In Russ.) https://doi.org/10.31242/2618-9712-2023-28-2-337-345
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