Cover Image

Variational statements of a statical problem of the elasticity theory under the preset external forces

The initial-value problem is considered for the equations of elastic equilibrium of moving bodies when stresses are specified on the surface of the body. Two variational problems that may be solved in unique fashion over the entire space are formulated for this problem, which is known to possess a u...

Full description

Saved in:

Bibliographic Details
Date:	2025
Main Authors:	Molchanov , I. N., Galba , E. F., Молчанов , И. Н., Галба , Е. Ф.
Format:	Article
Language:	Russian
Published:	Institute of Mathematics, NAS of Ukraine 2025
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/9350
Tags:	Add Tag No Tags, Be the first to tag this record!
Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
Download file:

Institution

Ukrains’kyi Matematychnyi Zhurnal

Similar Items

Variational statements and discretization of the boundary-value problem of the elasticity theory when tension on the boundary of the domain is known
by: N. A. Vareniuk, et al.
Published: (2020)

On the correct statement of free-phase variational problems
by: Yu. P. Topoliuk
Published: (2018)

Stability of Inhomogeneous Cylindrical Shells under Distributed External Pressure in the Spatial Statement
by: A. V. Podvornyj, et al.
Published: (2017)

On the variational statement of one boundary-value problem with free interface
by: Timokha, A., et al.
Published: (2023)

Limiting theorems for point random fields preset on the plane
by: Roitgarts , A. D., et al.
Published: (1991)

Linear Micropolar Elasticity Analysis of Stresses in Bones under Static Loads
by: Eremeyev, V.A., et al.
Published: (2017)

Sociological Comprehension of the Preset-Day Ukrainian Society Modernization
by: T. O. Petrushyna
Published: (2020)

Approximation by the Fourier operators of the functions preset on a real axis
by: Stepanets , A. I., et al.
Published: (1988)

The best approximations of the classes of functions preset by means of the continuity modulus
by: Babenko , V. F., et al.
Published: (1992)

Approximation of the functions preset on the real axis by the Valle Pussen operators
by: Rukasov , V. I., et al.
Published: (1992)

On variational problems of the theory of potential
by: Zoriy , N. V., et al.
Published: (1991)

The application of variational methods to some static contact problems for pliant shells of rotation
by: Trotsenko, V. A.
Published: (1999)

Discrete models on one-dimensional net with the preset Lie algebra of symmetries
by: Balinsky , A. I., et al.
Published: (1992)

Limiting distribution of time averages for the additive functionals preset on the semi-Markovian process
by: Eleiko, Ya. I., et al.
Published: (1990)

Homogeneous general solutions in a statical problem of the elastisity theory
by: Deev, V. M., et al.
Published: (1971)

Achievement the preset temperature of cast-iron due to the improvement drainage ability of furnace
by: V. N. Zakharchenko, et al.
Published: (2015)

Nonlinear Static Response of Elastic Ring with Flanges in Supports of Rotors
by: M. M. Tkachuk, et al.
Published: (2024)

An elastic half-space with a heterogeneous coating under tangential forces effect
by: R. Kulchytskyi-Zhyhailo, et al.
Published: (2010)

Methodological Approaches to Transformation of Financial Statements under IFRS
by: N. S. Akimova, et al.
Published: (2018)

Uncoupled quasi-static thermal elasticity problem for a two-layer thermosensitive cylinder under conditionsof convective heat exchange
by: Yu. Harmatii, et al.
Published: (2018)

Refined model of thermo-elastic-plastic bending of layered plates of regular structure. I. Problem statement
by: A. P. Jankovskij
Published: (2018)

Forced oscillations of systems with elastic bonds
by: A. V. Novikova
Published: (2013)

On Dirichlet’s problem for the elasticity theory operator
by: Bulavenko, E. V., et al.
Published: (1987)

The main statements of ontology theory and its implementation in the system of legal knowledge
by: S. O. Kosenko
Published: (2018)

The main statements of ontology theory and its implementation in the system of legal knowledge
by: Kosenko, S.O.
Published: (2018)

Some Aspects of the Dynamics of the Transient Rotary Operating Element Under the Influence of the Elastic Forces
by: E. F. Perlov
Published: (2016)

The use of the variational method of homogeneous solutions in an axisymmetric elasticity problem for a finite cylinder under its weight
by: V. F. Chekurin, et al.
Published: (2021)

Librarianship as the fundamental science (statement of the problem)
by: V. Leonov
Published: (1999)

Wars of Historical Memory (to the Statement of the Problem)
by: V. M. Tkachenko, et al.
Published: (2020)

Some Aspects of the Dynamic of the Transient Rotary Operating Element Under the Influence of the Elastic and Viscoelastic Forces
by: E. F. Perlov
Published: (2017)

A variational method of homogeneous solutions for axisymmetric elasticity problems for cylinder
by: V. F. Chekurin, et al.
Published: (2015)

A noncompact variational problem in the theory of riesz potentials. II
by: Zorii, N. V., et al.
Published: (1996)

Nonlinear deformation and branching of solutions of boundary value problem of the theory of shells with the delamination under external pressure
by: N. I. Obodan, et al.
Published: (2015)

Several statements for convex functions
by: Stepanets, O. I., et al.
Published: (1999)

Chaos in Duffing Oscillator with High- and Low-Frequency External Forcing
by: Vavriv, D. M., et al.
Published: (2013)

Agrarian law system issues: problem statement
by: M. M. Chabanenko
Published: (2013)

Spatial dynamic problem of elasticity theory for parallelepiped
by: S. O. Papkov
Published: (2014)

Variational method of homogeneous solutions in axisymmetric elasticity problems for semi-infinite cylinder
by: V. F. Chekurin, et al.
Published: (2013)

Variational method of homogeneous solutionsin axisymmetric elasticity problem for piecewise homogeneous cylinder
by: V. Chekurin, et al.
Published: (2016)

Asymptotic approach in dynamic problems of the elasticity theory for bodies with thin elastic inclusions
by: Ya. I. Kunets, et al.
Published: (2020)