 | | 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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| S.E. Aleksandrov and R.V. Goldstein, "Stress-Strain State in an Elastoplastic Cylindrical Tube with Free Ends. I. General Solution," Mech. Solids. 48 (5), 537-545 (2013) |
| Year |
2013 |
Volume |
48 |
Number |
5 |
Pages |
537-545 |
| DOI |
10.3103/S0025654413050099 |
| Title |
Stress-Strain State in an Elastoplastic Cylindrical Tube with Free Ends. I. General Solution |
| Author(s) |
S.E. Aleksandrov (Ishlinsky Institute for Problems in Mechanics, Russian Academy of Sciences, pr-t Vernadskogo 101, str. 1, Moscow, 119526 Russia, sergei_alexandrov@yahoo.com)
R.V. Goldstein (Ishlinsky Institute for Problems in Mechanics, Russian Academy of Sciences, pr-t Vernadskogo 101, str. 1, Moscow, 119526 Russia, goldst@ipmnet.ru) |
| Abstract |
We obtain a general solution for the stress-strain state in an elastoplastic tube whose ends are stress-free. The tube is subjected to internal and external pressures which can vary in time rather arbitrarily. But it is assumed that the radius of the elastoplastic boundary does not decrease during the entire deformation process. The tube material obeys a yield condition depending on the mean stress. The corresponding yield surface has the shape of a cone in the space of principal stresses. The theory of plastic flow is used. The plastic potential is taken in the form of the von Mises condition. Thus, the associated plastic flow law is not satisfied, and the material is plastically incompressible. Numerical methods are only needed for successively solving several transcendental equations and calculating ordinary integrals. |
| Keywords |
cylindrical tube, elastoplastic deformation, yield condition, mean stress |
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| 16. | S. E. Aleksandrov and R. V. Goldstein,
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|
| Received |
06 April 2013 |
| Link to Fulltext |
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