 | | 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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| Yu. I. Butenko, "A modified method of asymptotic integration: application to the construction of the theory of orthotropic rods. Part 4," Mech. Solids. 37 (3), 164-179 (2002) |
| Year |
2002 |
Volume |
37 |
Number |
3 |
Pages |
164-179 |
| Title |
A modified method of asymptotic integration: application to the construction of the theory of orthotropic rods. Part 4 |
| Author(s) |
Yu. I. Butenko (Kazan) |
| Abstract |
In [1-3], we applied the asymptotic method to
the construction of a theory of orthotropic rods with an
error of ε2. We formulated the internal problem and the
boundary layer problems, obtained the conditions of the existence of
decaying solutions of the boundary layer problem
and on that basis, indicated how the boundary
conditions of these problems can be separated.
In the present paper, we suggest a unified method to show that
the variational approach to the statement of the problem
makes it possible to separate the boundary conditions without
having resort to the conditions of the existence of boundary layer
solutions. |
| References |
| 1. | Yu. I. Butenko,
"A modified method of asymptotic integration: application
to the construction of the theory of orthotropic rods. Part 1,"
Izv. AN. MTT [Mechanics of Solids], No. 4, pp. 91-105, 2001. |
| 2. | Yu. I. Butenko,
"A modified method of asymptotic integration: application
to the construction of the theory of orthotropic rods. Part 2,"
Izv. AN. MTT [Mechanics of Solids], No. 1, pp. 177-188, 2002. |
| 3. | Yu. I. Butenko,
"A modified method of asymptotic integration: application
to the construction of the theory of orthotropic rods. Part 3,"
Izv. AN. MTT [Mechanics of Solids], No. 2, pp. 163-177, 2002. |
| 4. | L. A. Agalovyan, Asymptotic Theory of Anisotropic Plates and Shells
[in Russian], Nauka, Moscow, 1977. |
| 5. | M. I. Gusein-Zade, "On necessary and sufficient conditions of the
existence of decaying solutions of the plane elasticity problem for
half-strip", PMM [Applied Mathematics and Mechanics], Vol. 29, No. 4,
pp. 752-760, 1965. |
| 6. | Yu. I. Butenko, "A variational-asymptotic method for costructing
of the theory of rods,"No. 3227-B-86, KISI, Moscow, VINITI, 1986. |
| 7. | S. P. Timoshenko and G. Goodier, Theory of Elasticity [Russian translation],
Nauka, Moscow, 1975. |
|
| Received |
05 February 1999 |
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