 | | 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: | | 11223 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8011
|
| In English (Mech. Solids): | | 3212 |
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| << Previous article | Volume 40, Issue 6 / 2005 | Next article >> |
| V. E. Apet'yan and D. L. Bykov, "Structure-energy analysis of a uniaxial stressed state under compression and unloading of a viscoelastic material," Mech. Solids. 40 (6), 42-52 (2005) |
| Year |
2005 |
Volume |
40 |
Number |
6 |
Pages |
42-52 |
| Title |
Structure-energy analysis of a uniaxial stressed state under compression and unloading of a viscoelastic material |
| Author(s) |
V. E. Apet'yan (Korolev)
D. L. Bykov (Korolev) |
| Abstract |
We consider the results of experiments with specimens made of a
viscoelastic material at constant compressive and unloading strain rates.
The unloading was started at various levels of compressive strain. We
present the dependences of conventional and true stresses on linear
measures of strains. Using the Nonlinear endochronous theory of aging
viscoelastic materials [1] and replacing the conventional stresses by true
stresses, we carried out a structure-power analysis of stressed states
under active loadings and unloadings. By comparing the values of structure
components of the specific work of internal forces computed with the use of
conventional and true stresses, we show that those where true stresses are
introduced are physically more meaningful.
A good coincidence of the theoretical and experimental dependences of
stresses on the linear measures of strains of the order of 50% showed that
medium finite strains can be described with the use of linear measures of
strains if one appropriately takes into account the physical nonlinearity
of the materials. One should have this in mind when carrying out
computations with the use of various measures of finite strains. It was
simultaneously established that the initial modulus of unloading of
viscoelastic materials depends on the level of strains at the time where
the unloading begins, which should be taken into account, for example, when
computing the Karman modulus for determining the critical stress of the
compressed rod. |
| References |
| 1. | D. L. Bykov and D. N. Konovalov, "A nonlinear endochronous theory
of aging viscoelastic materials," Izv. RAN. MTT [Mechanics of Solids],
2002, No. 4, pp. 63-76. |
| 2. | V. E. Apet'yan and D. L. Bykov, "Determination of nonlinear
viscoelastic characteristics of charged polymeric materials," Kosmonavtika
i Raketostoenie, No. 3 (28), pp. 202-214, 2002. |
| 3. | E. Polak, Optimization: Algorithms and Consistent Approximations,
Springer-Verlag, New York, 1997. |
| 4. | D. L. Bykov, "Utilization of structural components of specific work of
internal forces for the description of strength of
viscoelastic materials," Izv. RAN. MTT [Mechanics of Solids], No. 3, pp. 99-111, 2003. |
| 5. | V. E. Apet'yan and D. L. Bykov, "Analysis of non-monotonic stress-strain
relationships in viscoelastic materials," Izv. RAN. MTT [Mechanics of Solids],
No. 4, pp. 106-115, 2004. |
| 6. | A. A. Il'yushin, Plasticity [in Russian], GITTL, Moscow, 1948. |
|
| Received |
12 June 2005 |
| << Previous article | Volume 40, Issue 6 / 2005 | Next article >> |
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