 | | 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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| A. V. Nalimov and Yu. V. Nemirovskii, "Closed system of limit equilibrium equations for axisymmetric shells," Mech. Solids. 43 (1), 75-85 (2008) |
| Year |
2008 |
Volume |
43 |
Number |
1 |
Pages |
75-85 |
| DOI |
10.3103/S002565440801007X |
| Title |
Closed system of limit equilibrium equations for axisymmetric shells |
| Author(s) |
A. V. Nalimov (Biysk Technological Institute, Polzunov Altai State Technical University, Trofimova 27, Biysk, Altaiskii kray, 659305, Russia, nalimov@bti.secna.ru)
Yu. V. Nemirovskii (Khristianovich Institute of Theoretical and Applied Mechanics, Siberian Branch of Russian Academy of Sciences, Institutskaya 4/1, Novosibirsk, 630090, Russia, shulgin@itam.nsc.ru) |
| Abstract |
We consider rigid-plastic axisymmetric shells and use methods of control theory to construct the carrying capacity loss condition for such shells in formalized form.
We show that solving limit equilibrium problems for such structures can be reduced to solving a multipoint boundary value problem for a system of nonlinear differential-algebraic equations with unknown matching boundaries between different plastic modes as well as between rigid and plastic domains.
We present a complete system of resolving equations for the problem on the carrying capacity of axisymmetric shells, including the matching conditions for domains in different states. |
| References |
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|
| Received |
27 January 2005 |
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