 | | 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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| M. F. Mekhtiev, N. A. Sardarova, and N. I. Fomina, "Asymptotic behavior of the solution of an axially symmetric elasticity problem for a transversely isotropic hollow cone," Mech. Solids. 38 (2), 49-56 (2003) |
| Year |
2003 |
Volume |
38 |
Number |
2 |
Pages |
49-56 |
| Title |
Asymptotic behavior of the solution of an axially symmetric elasticity problem for a transversely isotropic hollow cone |
| Author(s) |
M. F. Mekhtiev (Baku)
N. A. Sardarova (Baku)
N. I. Fomina (Baku) |
| Abstract |
An asymptotic method based on solutions of the equations of
anisotropic elasticity is used for the investigation of
solutions of axially symmetric problems for conical shells.
The behavior of the solutions is
examined both in the interior of the shell and
near its edges. An asymptotic expansion is obtained for homogeneous solutions
describing a transversely isotropic conical shell of variable thickness with
various types of boundary conditions on the edges of the cone.
On the basis of qualitative analysis, the character of the stress-strain state is
explained. |
| References |
| 1. | S. G. Lekhnitskii,
Theory of Elasticity for Anisotropic Bodies [in Russian], Nauka, Moscow, 1977. |
| 2. | M. F. Mekhtiev,
"Construction of refined applied theories for a truncated hollow cone of
variable thickness," Izv. AN AzSSR. Ser. Fiz. Tekhn. i Mat. Nauk, No.
4, pp. 17-21, 1972. |
| 3. | N. K. Akhmedov and M. F. Mekhtiev,
"Analysis of the three-dimensional elasticity problem for
an inhomogeneous cone," PMM [Applied Mathematics and Mechanics], Vol. 57, No. 5, pp. 113-119, 1993. |
| 4. | M. F. Mekhtiev and Yu. A. Ustinov,
"Asymptotic behavior of the solution of the axially symmetric elasticity
problem for a hollow cone," in Seventh All-Union Conference on
the Theory of Shells and Plates [in Russian], pp. 425-427, Nauka, Moscow, 1970. |
| 5. | M. F. Mekhtiev and Yu. A. Ustinov,
"Asymptotic investigation of solutions of an elasticity problem for
a hollow cone," PMM [Applied Mathematics and Mechanics], Vol. 35, No. 6, pp. 1108-1115, 1971. |
| 6. | M. A. Shlenev,
"On the roots of the characteristic equation in the theory of transversely
isotropic plates," in Plates and Shells [in Russian], pp. 282-290, Rostov-on-Don,
1975. |
| 7. | S. A. Kosmodamianskii and V. A. Shaldyrvan,
Thick Multiply-connected Plates [in Russian],
Naukova Dumka, Kiev, 1978. |
| 8. | V. B. Lidskii and V. A. Sadovnichii,
"Asymptotic formulas for the roots of a class of entire functions,"
Matem. Sbornik, Vol. 75, No. 4, pp. 556-566, 1968. |
| 9. | I. I. Vorovich,
"Some results and problems in the asymptotic theory of plates and shells,"
in The First All-Union Workshop on the Theory and Numerical Methods
in the Design of Plates and Shells [in Russian], pp. 51-149, Tbilisi, 1975. |
| 10. | S. A. Ambartsumyan,
General Theory of Anisotropic Shells [in Russian], Nauka, Moscow, 1974. |
|
| Received |
03 August 2000 |
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