 | | 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
|
| In English (Mech. Solids): | | 4760 |
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| M. U. Nikabadze, "A version of the theory of multilayer curvilinear rods," Mech. Solids. 40 (6), 107-116 (2005) |
| Year |
2005 |
Volume |
40 |
Number |
6 |
Pages |
107-116 |
| Title |
A version of the theory of multilayer curvilinear rods |
| Author(s) |
M. U. Nikabadze (Moscow) |
| Abstract |
We consider a parametrization of each layer in a multilayer plane
curvilinear rod domain on the basis of two reference curves by analogy with
the paper [1]. The use of several reference curves in the parametrization
permits one to describe the variation of the stress-strain state in this
domain along the thickness more precisely. Moreover, if, when considering
multilayer flat curvilinear rod structures, the face curves of the layers
are used as reference curves, then one can take into account the character
of interlaminar contacts more realistically.
We state a kinematic hypothesis giving rise to a theory of multilayer plane
curvilinear rods. From the resulting virtual work principle, the equations
of motion and equilibrium and the corresponding boundary conditions are
derived, and also interlaminar contact conditions are written out for the
full contact of the layers. Furthermore, concise forms of the equations and
the boundary conditions are given. |
| References |
| 1. | M. U. Nikabadze, Plane Curvilinear Rods [in Russian], No. 4509-B90,
VINITI, Moscow, 1990. |
| 2. | A. I. Lur'e, Nonlinear Elasticity [in Russian], Nauka, Moscow,
1980. |
| 3. | B. E. Pobedrya, Lectures on Tensor Analysis [in Russian], Izd-vo
MGU, Moscow, 1986. |
| 4. | I. N. Vekua, Fundamentals of Tensor Analysis and Covariant Theory
[in Russian], Nauka, Moscow, 1978. |
| 5. | M. U. Nikabadze, "To a version of the theory of multilayer
structures," Izv. RAN. MTT [Mechanics of Solids], No. 1, pp. 143-158,
2001. |
| 6. | K. F. Chernykh, Nonlinear Elasticity in Engineering Design [in
Russian], Mashinostroenie, Leningrad, 1986. |
| 7. | M. U. Nikabadze, "Equations of motion and boundary conditions of a
version of the theory of multilayer plane curvilinear rods," Vestn. MGU.
Ser. Mat. Mekh., No. 6, pp. 41-46, 2002. |
|
| Received |
17 May 2004 |
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