 | | 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: | | 12977 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8096
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| In English (Mech. Solids): | | 4881 |
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| V.V. Chekhov, "Application of the Non-Incremental Approach to Axisymmetric FEM Analysis of Large Strain in Tensor-Based Matrix Form," Mech. Solids. 59 (5), 2763-2775 (2024) |
| Year |
2024 |
Volume |
59 |
Number |
5 |
Pages |
2763-2775 |
| DOI |
10.1134/S002565442460377X |
| Title |
Application of the Non-Incremental Approach to Axisymmetric FEM Analysis of Large Strain in Tensor-Based Matrix Form |
| Author(s) |
V.V. Chekhov (Vernadsky Crimean Federal University, Simferopol, Republic of Crimea, 295007 Russia, chekhovvv@cfuv.ru) |
| Abstract |
For the tensor-matrix FEM system of equations describing the final state of large deformations of an incompressible elastic body, a development to solve axisymmetric problems is obtained.
Also, analytical expressions for the components of the partial derivatives matrix of the system are
obtained. Examples of calculating the everted state of a circular cylinder, as well as analysis of sealing rings are described. |
| Keywords |
FEM equation, tensor-block matrices, large strain, static analysis, positional formulation, axisymmetric state, Finger strain measure, incompressible material, Mooney–Rivlin material |
| Received |
27 January 2024 | Revised |
26 March 2024 | Accepted |
08 May 2024 |
| Link to Fulltext |
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