 | | Mechanics of Solids
A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936 |
Archive of Issues
| Total articles in the database: | | 13362 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8178
|
| In English (Mech. Solids): | | 5184 |
|
| << Previous article | Volume 60, Issue 5 / 2025 | Next article >> |
| A.N. Sporykhin and Yu.D. Shcheglova, "Structural Model of the Earth and its Behavior under Dynamic Internal Influence," Mech. Solids. 60 (5), 3557-3565 (2025) |
| Year |
2025 |
Volume |
60 |
Number |
5 |
Pages |
3557-3565 |
| DOI |
10.1134/S002565442560312X |
| Title |
Structural Model of the Earth and its Behavior under Dynamic Internal Influence |
| Author(s) |
A.N. Sporykhin (Voronezh State University, Voronezh, 394018 Russia, anatoli.sporyhin@yandex.ru)
Yu.D. Shcheglova (Voronezh State University, Voronezh, 394018 Russia, scheglova@gmail.com) |
| Abstract |
Within framework of complex continuous media, the structure is modeled and the stress-strain state of a spherical object approximated to the Earth model under dynamic internal and constant
external influences is determined. The spherical body consists of four layers. The outer layer, modeling
the mantle, is represented by a hardening elastic-viscoplastic dilating medium. The core has three layers, the outer one is represented by the model of an incompressible ideally plastic von Mises body, the
second and third by the model of an incompressible elastic-viscoplastic body. The dynamic load is uniformly distributed along the inner surface of the third layer of the core, and the load of constant intensity is uniformly distributed along the outer surface of the spherical body. Within the framework of the
axisymmetric stress-strain state, an analytical solution to the problem is obtained. Relationships for
displacement and stress fields in plastic and elastic regions of layers are determined. A system of equations for determining the integration constants and radii of elastic-plastic boundaries is obtained. This
system of equations requires a numerical solution. The paper also presents the conditions for exhaustion of the bearing capacity of a spherical object. |
| Keywords |
complex continuous media, piecewise heterogeneity, elasticity, plasticity, viscosity, hardening, dilatancy, axisymmetric stress-strain state |
| Received |
12 June 2025 | Revised |
22 June 2025 | Accepted |
30 June 2025 |
| Link to Fulltext |
|
| << Previous article | Volume 60, Issue 5 / 2025 | Next article >> |
|
 If you find a misprint on a webpage, please help us correct it promptly - just highlight and press Ctrl+Enter
|
|
Russian 
English