 | | 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: | | 12854 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
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| In English (Mech. Solids): | | 4810 |
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| V. N. Kukudzhanov and A. L. Levitin, "Rheological instability and localization of strains in plane elastoplastic specimens under extension," Mech. Solids. 40 (6), 69-80 (2005) |
| Year |
2005 |
Volume |
40 |
Number |
6 |
Pages |
69-80 |
| Title |
Rheological instability and localization of strains in plane elastoplastic specimens under extension |
| Author(s) |
V. N. Kukudzhanov (Moscow)
A. L. Levitin (Moscow) |
| Abstract |
We study buckling of plated specimens under extension for elastoplastic
materials with various forms of stress-strain curves and plasticity
conditions. Buckling of elastoplastic specimens in a supercritical state
for material models taking into account damageability is accompanied by
strain localization along shear bands and by necking. If damageability is
not taken into account, then localization of extension prevails in
specimens. We study the influence of the geometry of specimens and the
physical properties of the material on the plastic strain localization
process and on the character of fracture of specimens. It is shown that the
factors determining the character of strain localization and of the
subsequent fracture include, on the one hand, weakening and plastic
compressibility of the material, which arise owing to the nucleation and
growth of microdefects (primarily, microvoids), and, on the other hand, the
geometric constraint condition on the plastic flow.
Our analysis enables a more realistic approach to the construction of
medium models adequately describing experimental data on the falling
section of the stress-strain curve as well as the character of strain
localization and fracture of specimens under extension. |
| References |
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|
| Received |
12 May 2005 |
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