 | | 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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| V. L. Dil'man and A. A. Ostsemin, "On the stress-strain state of a plastic layer with two axes of symmetry subjected to tension," Mech. Solids. 36 (6), 97-106 (2001) |
| Year |
2001 |
Volume |
36 |
Number |
6 |
Pages |
97-106 |
| Title |
On the stress-strain state of a plastic layer with two axes of symmetry subjected to tension |
| Author(s) |
V. L. Dil'man (Chelyabinsk)
A. A. Ostsemin (Chelyabinsk) |
| Abstract |
The stress-strain state (SSS) of a soft transverse layer
in a strip subjected to tension is analyzed in the
conditions of plane strain. The layer has two
orthogonal axes of symmetry (along and across the strip). It is
assumed that the layer is not a thin interlayer, i.e., the
so-called multiplicative hypothesis can be used for the deformation
of the Cartesian coordinate grid covering the section of the layer.
The components of the stress tensor are calculated. It is shown
that at the instant preceding fracture, the normal stresses are
maximal at the center of the layer and decrease when approaching
the free and contact surfaces. This means that fracture must
occur near the contact surfaces, which is in agreement with
available experimental data. The results obtained permit one to
calculate the load tolerable for a joint with a soft interlayer
(for example, a defect-free weld in a pipe of large
diameter) and describe the character of fracture. These results
can be used for the determination of the load-carrying capacity of
butt welds in structures, machines, and pipelines. They
can also be extended without essential changes to the solution
of problems related to upsetting of a strip in press forging. |
| References |
| 1. | V. A. Vinokurov, S. A. Kurkin, and G. A. Nikolaev,
Welded Structures. Fracture Mechanics and Operability Criteria
[in Russian], Mashinostroenie, Moscow, 1996. |
| 2. | L. M. Kachanov,"On the stress state of a plastic
interlayer," Izv. AN SSSR. OTN. Mekhanika i Mashinostroenie,
No. 5, pp. 63-67, 1962. |
| 3. | D. D. Ivlev, Theory of Ideal Plasticity [in Russian],
Nauka, Moscow, 1966. |
| 4. | V. P. Erofeev, Analysis of the influence of the geometry of
soft interlayers of welded joints on the stress-strain state and
strength of these interlayers. Ph.D. Theses [in Russian], Chelyabinsk,
1972. |
| 5. | V. V. Sokolovskii, Theory of Plasticity [in Russian],
Vysshaya Shkola, Moscow, 1969. |
| 6. | A. A. Ostsemin and V. L. Dil'man, "On the compression of a plastic
layer by two rough slabs," Problemy Prochnosti, No. 7, pp. 107-113, 1990. |
| 7. | V. L. Dil'man and A. A. Ostsemin, "Stress state and
strength of welded joints in pipes of large diameter,"
Khimicheskoe i Neftegazovoe Mashinostroenie, No. 4, pp. 16-20,
1998. |
| 8. | V. L. Dil'man and A. A. Ostsemin, "Stress state of a plastic
layer the strength of which varies across the thickness," Izv.
AN. MTT [Mechanics of Solids], No. 1, pp. 141-148, 2000. |
| 9. | B. I. Koval'chuk, "To the loss of stability in the plastic
deformation of shells," Problemy Prochnosti, No. 5, pp. 11-16,
1983. |
| 10. | A. A. Ostsemin, M. V. Shakhmatov, V. V. Erofeev,
and G. I. Saidov, "Determination of the microcleavage resistance
of materials by using plasticity diagrams,"
Problemy Prochnosti, No. 3, pp. 105-107, 1984. |
|
| Received |
24 October 1999 |
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