Metadata (abstracts and keywords) for the articles in the journal
Chernyshov D.A., Bondarev A.S., Kovalev A.V. On the Convergence of Functional Series Used in Solving Thermal Deformation Problems // Vestnik I. Yakovlev Chuvach State Pedagogical University. Series: Mechanics of a limit state . 2024. № 2(60). p. 51-59
Author(s):
Chernyshov D.A., Bondarev A.S., Kovalev A.V.
Index of UDK:
539.374, 539.389
DOI:
10.37972/chgpu.2024.60.2.004
Title:
On the Convergence of Functional Series Used in Solving Thermal Deformation Problems
In this paper, the uniform convergence of functional series with their partial derivatives is approved. These series are used in previous researches to determine of the stress-strain state of a solid sphere which is made of the elastoviscoplastic material with hardening and subjected to uniform heat exposure. The remainder term of the series is also estimated. This fact makes it possible to to determine the enough finitesimal number of terms to carry out a numerical analysis of the results.
The contact details of authors:
Danil A. Chernyshov, Academic of the Department of Mechanics and Computer Modeling; e-mail: chernyshov.danil@gmail.com; https://orcid.org/0000-0003-4460-6656; AuthorID: 1149996
Andrei S. Bondarev, PhD. Sci. Phys. & Math., Associate Professor of the Department of
Functional Analysis and Operation Equations; e-mail: bondarev@math.vsu.ru; AuthorID: 900361
Alexey V. Kovalev, Dr. Sci. Phys. & Math., Professor, Head of the Department of Mechanics and Computer Modeling; e-mail: kav-mail@mail.com; https://orcid.org/0000-0002-3730-9621; AuthorID: 11051
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