 | | 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
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| In English (Mech. Solids): | | 3212 |
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| Yu. I. Butenko, "A modified method of asymptotic integration: application to the construction of the theory of orthotropic rods. Part 2," Mech. Solids. 37 (1), 149-159 (2002) |
| Year |
2002 |
Volume |
37 |
Number |
1 |
Pages |
149-159 |
| Title |
A modified method of asymptotic integration: application to the construction of the theory of orthotropic rods. Part 2 |
| Author(s) |
Yu. I. Butenko (Kazan) |
| Abstract |
A multi-term asymptotic theory was formulated in [1] for the
internal problem of a rod of orthotropic material, with the order
of accuracy being ε2. The present work continues these
studies and is concerned with the boundary layer problem. |
| References |
| 1. | Yu. I. Butenko, "A modified method of asymptotic integration:
application to the construction of the theory of orthotropic rods.
Part I," Izv. AN. MTT [Mechanics of Solids], No. 4, pp. 91-105, 2001. |
| 2. | A. L. Goldenveizer, "Construction of an approximate theory of
plate bending by the method of asymptotic integration of elasticity
equations," PMM [Applied Mathematics and Mechanics], Vol. 26, No. 4,
pp. 668-686, 1962. |
| 3. | A. H. Nayfeh, Perturbation Methods [Russian translation], Mir, Moscow, 1976. |
| 4. | L. A. Agalovyan,
Asymptotic Theory of Anisotropic Plates and Shells [in Russian], Nauka, Moscow,
1997. |
| 5. | V. V. Stepanov, A Course on Differential Equations [in Russian],
Fizmatgiz, Moscow, 1958. |
| 6. | M. I. Gusein-Zade, "On the necessary and sufficient conditions for
the existence of decaying solutions of the elasticity problem for
a strip," PMM [Applied Mathematics and Mechanics], Vol. 29, No. 4,
pp. 752-760, 1965. |
| 7. | L. A. Agalovyan and Sh. M. Khachatryan,
"Generalized orthogonality in the sense of Papkovich and
the conditions of existence of decaying solutions of the plane problem for
an orthotropic strip," Doklady AN ArmSSR, Vol. 60, No. 3, pp. 157-163,
1975. |
|
| Received |
05 February 1999 |
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