 | | 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: | | 12804 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
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| In English (Mech. Solids): | | 4760 |
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| << Previous article | Volume 56, Issue 8 / 2021 | Next article >> |
| D.V. Georgievskii, "Sequential Triaxial Dynamic Compression of a Parallelepiped," Mech. Solids. 56 (8), 1651-1656 (2021) |
| Year |
2021 |
Volume |
56 |
Number |
8 |
Pages |
1651-1656 |
| DOI |
10.3103/S0025654421080082 |
| Title |
Sequential Triaxial Dynamic Compression of a Parallelepiped |
| Author(s) |
D.V. Georgievskii (Moscow State University, Moscow, 119991 Russia; Ishlinsky Institute for Problems in Mechanics, Russian Academy of Sciences, Moscow, 119526 Russia;Moscow Center for Fundamental and Applied Mathematics, Moscow, 119234 Russia, georgiev@mech.math.msu.su) |
| Abstract |
In this paper, we consider the inverse problem of continuum mechanics, in which, given the
kinematics of the flow of a homogeneous incompressible material in all three-dimensional space, it is
required to determine the force modes that provide such kinematics according to the equations of
motion and the chosen constitutive relations. The adopted law of motion of particles consists of three
time stages, each of which corresponds to compression in one direction and spreading of the medium
in two others. In this case, the planes parallel to the Cartesian coordinate planes before deformation
remain parallel to them at any time of the process. This allows the problem of sequential triaxial compression of a parallelepiped and its transfer from the initial position to a specified final one to be posed.
The possible kinematic and force modes for the implementation of this translation are found. |
| Keywords |
flow, tension, compression, triaxial dynamic compression, parallelepiped, law of motion, particle trajectories |
| Received |
14 December 2020 | Revised |
26 March 2021 | Accepted |
15 April 2021 |
| Link to Fulltext |
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