Metadata (abstracts and keywords) for the articles in the journal
M. A. Lavrentieva, L. V. Levina, V. B. Penkov An effective approach for analyzing thermoelastostatic states of 3d-objects // Vestnik I. Yakovlev Chuvach State Pedagogical University. Series: Mechanics of a limit state . 2023. № 4(58). p. 36-46
Author(s):
M. A. Lavrentieva, L. V. Levina, V. B. Penkov
Index of UDK:
539.3
DOI:
10.37972/chgpu.2023.58.4.004
Title:
An effective approach for analyzing thermoelastostatic states of 3d-objects
Keywords:
boundary state method, BSM, internal state of the body, boundary state, thermoelasticity, thermoelastostatics.
Abstracts:
The state of a homogeneous, heat-conducting, linearly elastic, isotropic equilibrium medium is described by the equations of heat conduction, Cauchy, equilibrium, and the DuhamelNeumann law. Sets of characteristics that constitute the internal and boundary state of the body are identified. Scalar products defining the spaces of internal and boundary states as Hilbert spaces have been introduced. Their isomorphism is established. Universal algorithms for forming the bases of spaces have been assigned, allowing the application of the boundary state method in the settings of boundary value problems, the solution of which may not allow decomposition. The problem of the ’sausage’ has been formulated and solved, in which a body enclosed in a shell experiences a stressed state due to the difference in temperature deformations of fibers of coupled media. Illustration and commentary of the results of the calculation have been performed.
The contact details of authors:
Lavrentyeva Maria Alekseevna
e-mail: masy1997@gmail.com, Student, Department of Applied Mathematics, Lipetsk State Technical University, Lipetsk, Russia. Levina Lyubov Vladimirovna e-mail: satalkina_lyubov@mail.ru, PhD in Physics and Mathematics, Associate Professor, Department of Applied Mathematics, Lipetsk State Technical University, Lipetsk, Russia.
Penkov Viktor Borisovich
e-mail: vbpenkov@mail.ru, Doctor of Physical and Mathematical Sciences, Professor, Department of General Mechanics, Lipetsk State Technical University, Lipetsk, Russia.
Russian
English