Metadata (abstracts and keywords) for the articles in the journal
Senashov S.I., Gomonova O.V. Solving of boundary value problem of the theory of elasticity in displacements using conservation laws // Vestnik I. Yakovlev Chuvach State Pedagogical University. Series: Mechanics of a limit state . 2024. № 1(59). p. 130-134
Author(s):
Senashov S.I., Gomonova O.V.
Index of UDK:
539.374
DOI:
10.37972/chgpu.2024.59.1.011
Title:
Solving of boundary value problem of the theory of elasticity in displacements using conservation laws
Keywords:
boundary value problem, theory of elasticity, conservation laws.
Abstracts:
New conservation laws are constructed for the equations of the linear theory of elasticity in the three-dimensional case. Using these laws, for the first time, a boundary value problem in displacements was solved in the general case for an arbitrary body of finite dimensions. The solution is obtained in quadratures along the outer boundary of the body. It is shown that three fixed harmonic functions are sufficient to solve considered problem.
The contact details of authors:
Sergei I. Senashov, Dr. Sci. Phys. & Math., Professor; e-mail: sen@sibsau.ru; https: //orcid.org/0000-0001-5542-4781; AuthorID: 214483
Olga V. Gomonova, PhD. Sci. Phys. & Math.; Assoc. Prof. e-mail: savostyanova@sibsau.ru; AuthorID: 501126
Russian
English