| | 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
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In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
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In English (Mech. Solids): | | 4760 |
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V. L. Dil'man, "Plastic instability of thin-walled cylindrical shells," Mech. Solids. 40 (4), 113-121 (2005) |
Year |
2005 |
Volume |
40 |
Number |
4 |
Pages |
113-121 |
Title |
Plastic instability of thin-walled cylindrical shells |
Author(s) |
V. L. Dil'man (Chelyabinsk) |
Abstract |
Conditions for the loss of load-carrying capacity, as well as for local
instability of thin-walled cylindrical shells made from a homogeneous hardening
material and subjected to the internal pressure and axial loads are obtained on
the basis of the flow theory taking into account the non-proportional loading
due to the variation of strained shell sizes. The corresponding critical
strains are obtained as functions of the ratio of the pressure to the axial
load and the shell material hardening parameters. Conditions for the
longitudinal and circumferential neck formation are established depending on
the same quantities.
The results obtained can be applied to studying the strength properties of
thin-walled pressure vessels and other shell structures, for example, trunk
pipelines. These results can be used also when preparing normative documents. |
References |
1. | B. I. Koval'chuk, "On the loss of stability of plastic deformation
of shells," Problemy Prochnosti, No. 5, pp. 11-17, 1983. |
2. | G. S. Pisarenko, and A. A. Lebedev,
Deformation of Materials in Complex Strain State, [in Russian],
Naukova Dumka, Kiev, 1976. |
3. | V. L. Dil'man, and A. A. Ostsemin, "Influence of the biaxial
loading on the bearing capacity of pipes of gas and oil supply
pipelines," Izv. AN. MTT [Mechanics of Solids], No. 5, pp. 179-185, 2000. |
4. | V. L. Dil'man, "On the loss of plastic strain stability of pipelines,"
[in Russian], Izv. Chelyabin. Nauch. Centr, No.2, pp. 4-7, 2000. |
5. | A. Nadai, Plasticity and Fracture of Solids [Russian translation],
Izd-vo Inostr. Lit-ry, Moscow, 1954. |
6. | E. A. Davies, "Stress growth with strain variation,", In: Plasticity Theory [Russian
translation], pp. 102-113, Izd-vo Inostr. Lit-ry, Moscow, 1948. |
7. | V. V. Novozhilov, Continuum Mechanics, [in Russian], Sudostroenie, Leningrad, 1989. |
8. | V. L. Dil'man, and A. A. Ostsemin, "On the loss of plastic stability of
thin-walled cylindrical shells," Problemy Mashinostr. i Nadezhnosti Mashin,
No. 5, pp. 50-57, 2002. |
|
Received |
08 July 2003 |
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