 | | 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: | | 11223 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8011
|
| In English (Mech. Solids): | | 3212 |
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| M. U. Nikabadze, "To a version of the theory of multilayer structures," Mech. Solids. 36 (1), 119-129 (2001) |
| Year |
2001 |
Volume |
36 |
Number |
1 |
Pages |
119-129 |
| Title |
To a version of the theory of multilayer structures |
| Author(s) |
M. U. Nikabadze (Moscow) |
| Abstract |
The parametrization of the domain occupied by a shell in the
three-dimensional Euclidean space by using several base surfaces permits
one to describe more accurately the variation of the stress-strain state of
the shell structure across thickness. For this reason, this
parametrization has an advantage over the classical one for describing
multilayer shell structures, including thick shells. In analyzing
multilayer shell structures, one can use the face surfaces of the layers as
the base surfaces, which takes into account more adequately the nature of
contacts between the layers. In what follows, the general analysis of the
parametrization suggested is presented. We also consider the construction
of the theory of multilayer structures which is generated by this
parametrization. |
| References |
| 1. | I. N. Vekua, Fundamentals of Tensor Analysis and Theory of
Covariants [in Russian], Nauka, Moscow, 1978. |
| 2. | A. I. Lur'e, Nonlinear Theory of Elasticity [in Russian],
Nauka, Moscow, 1980. |
| 3. | B. E. Pobedrya, Lectures on Tensor Analysis [in Russian],
Izd-vo MGU, Moscow, 1986. |
| 4. | A. A. Il'yushin, Continuum Mechanics [in Russian],
Izd-vo MGU, Moscow, 1990. |
| 5. | K. F. Chernykh, Nonlinear Theory of Elasticity in
Machine Design [in Russian], Mashinostroenie, Leningrad, 1986. |
| 6. | M. U. Nikabadze, "A new kinematic hypothesis and new
equations of motion and equilibrium in the theory of shells and planar
curvilinear rods," Vestn. MGU. Ser. Matematika. Mekhanika, No. 6,
pp. 54-61, 1991. |
|
| Received |
19 September 2000 |
| << Previous article | Volume 36, Issue 1 / 2001 | Next article >> |
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