 | | 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 59, Issue 3 / 2024 | Next article >> |
| D.V. Georgievskii, "Tensor Nonlinear Viscoelastic Models of the Maxwell Type: Vibration Creep and Ratcheting," Mech. Solids. 59 (3), 1195-1200 (2024) |
| Year |
2024 |
Volume |
59 |
Number |
3 |
Pages |
1195-1200 |
| DOI |
10.1134/S0025654423602185 |
| Title |
Tensor Nonlinear Viscoelastic Models of the Maxwell Type: Vibration Creep and Ratcheting |
| Author(s) |
D.V. Georgievskii (Lomonosov Moscow State University, Moscow, Moscow, 119991 Russia; Ishlinsky Institute for Problems in Mechanics, Russian Academy of Sciences, Moscow, 119526 Russia; Moscow Center for Fundamental and Applied Mathemati, Moscow, 119991Russia, georgiev@mech.math.msu.su) |
| Abstract |
Some effects of the stress-strain state, such as vibration creep, creep acceleration and ratcheting, observed and studied in the experimental mechanics of a deformable solid, are proposed to be
modeled on the basis of constitutive relations implemented in tensor nonlinear viscoelastic models of
the Maxwell type. The apparatus of isotropic tensor functions is used, depending on two symmetric
tensor arguments. Examples are given of a complex stress state in a tubular sample, when there is a significant disproportionate increase in time of the axial component of deformation under the combined
action of constant axial and oscillatory shear loads compared to the case of action of only axial load.
The concepts of generalized and combined ratcheting under complex stress conditions are introduced. |
| Keywords |
isotropic tensor function, invariant, material function, viscoelasticity, Maxwellian-type medium, vibration creep, ratcheting |
| Received |
18 October 2023 | Revised |
27 October 2023 | Accepted |
30 October 2023 |
| Link to Fulltext |
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