 | | 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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| V. N. Paimushin, "Theory of stability for three-layer plates and shells: stages of development, state-of-the-art, and prospects," Mech. Solids. 36 (2), 127-137 (2001) |
| Year |
2001 |
Volume |
36 |
Number |
2 |
Pages |
127-137 |
| Title |
Theory of stability for three-layer plates and shells: stages of development, state-of-the-art, and prospects |
| Author(s) |
V. N. Paimushin (Kazan) |
| Abstract |
Basic stages in the development of the theory of stability of three-layer
plates and shells are examined with regard to specific properties of their
subcritical behavior and buckling, the mathematical description of these
properties, and the construction of the corresponding stability equations.
A refined classification of buckling modes is proposed for the structure as
a whole, its load-bearing layers, and its filler. The main factors
causing different types of buckling are identified. On the basis of
solutions of particular problems, the conclusions made in the article
are confirmed and future trends of the investigations are indicated. |
| References |
| 1. | A. Ya. Aleksandrov et al., Design of Three-Layer Panels [in Russian],
Oborongiz, Moscow, 1960. |
| 2. | A. Ya. Aleksandrov and L. M. Kurshin, "Multi-layer plates and
shells," in Proceedings of the 7th All-Union Conference on Shells and
Plates [in Russian], pp. 714-721, Nauka, Moscow, 1970. |
| 3. | E. I. Grigolyuk and F. A. Kogan, "Theory of multi-layer shells:
state-of-the-art," Prikladnaya Mekhanika, Vol. 8, No. 6, pp. 3-17, 1972. |
| 4. | A. A. Dubchenko, S. A. Lur'e, and I. F. Obraztsov, "Anisotropic
multi-layer plates and shells," in Advances in Science and Technology,
Ser. Mechanics of Solids. Volume 15 [in Russian], pp. 3-68, VINITI, Moscow, 1983. |
| 5. | V. N. Paimushin, "A refined nonlinear theory of mean bending of
three-layer plates with transversely soft filler subjected to thermal
loads," Izv. Vuzov. Aviatsionnaya Tekhnika, No. 4, pp. 8-12, 1989. |
| 6. | V. A. Ivanov and V. N. Paimushin, "A refined theory of stability
of three-layer structures (nonlinear equations of the subcritical
equilibrium of shells with transversely soft filler)," Izv. Vuzov.
Matematika, No. 11, pp. 29-42, 1994. |
| 7. | V. A. Ivanov, V. N. Paimushin, and T. V. Polyakova, "A refined
stability theory for three-layer structures (linearized equations of the
neutral equilibrium and simple one-dimensional problems)," Izv. Vuzov,
Matematika, No. 3, pp. 15-24, 1995. |
| 8. | M. K. Galimov, V. A. Ivanov, and V. N. Paimushin, "Three-layer
plates and shells: stability of the moment equilibrium and modeling
the filler in a perturbed state," in Proceedings of the Conference on the
Theory of Shells and Plates. Kazan. Volume 1 [in Russian], pp. 16-23, Izd-vo
Kazan. Un-ta, 1996. |
| 9. | V. N. Paimushin and A. I. Mushtari, "Refined theory of stability
of three-layer shells with a transversely rigid filler: 3. Simple
one-dimensional problems," Mekh. Komposit. Mater., Vol. 34, No. 1,
pp. 57-65, 1998. |
| 10. | V. V. Bolotin, "Strength, stability, and vibrations of
multi-layer plates," Raschety na Prochnost, No. 11, pp. 31-63, 1965. |
| 11. | V. V. Bolotin, Yu. N. Novichkov, Mechanics of Multi-Layer
Structures [in Russian], Mashinostroenie, Moscow, 1980. |
| 12. | V. N. Paimushin and N. K. Galimov, "On the stability of
three-layer shells with a low dendity filler under bending," in
Proceedings of the Seminar on the Theory of Shells [in Russian], No. 5,
pp. 35-42, Izd-vo Kazansk. Fiz. Tekh. In-ta AN SSSR, Kazan, 1974. |
| 13. | V. N. Paimushin and N. K. Galimov, "Axially symmetric bending
and stability of three-layer circular plates with a low density filler
under complex loading," in Research on Nonlinear Problems for Shells and
Plates [in Russian], pp. 94-102, Izd-vo Saratov. Gos. Un-ta, 1974. |
| 14. | V. N. Paimushin and S. N. Bobrov, "On buckling modes of
three-layer plates and shells with homogeneous and reinforced outer
layers," Mekh. Kompozit. Mater., No. 1, pp. 79-86, 1985. |
| 15. | V. N. Paimushin and S. N. Bobrov, "On the stability of a
three-layer infinitely wide plate under axial compression of one layer,"
Mekh. Kompozit. Mater., No. 2, pp. 284-291, 1985. |
| 16. | V. A. Ivanov and V. N. Paimushin, "Refined statements of
dynamical problems for three-layer shells with a transversely soft filler
and a numerical-analytical method for their solution," Zh. Prikl. Mekh. i
Tekhn. Fiziki, Vol. 36, No. 4, pp. 137-151, 1995. |
| 17. | A. I. Golovanov, V. A. Ivanov, and V. N. Paimushin, "Three-layer
shells: a numerical-analytical method for the investigation of local mixed
buckling modes of the load-bearing layers," Mekh. Kompozit. Mater.,
Vol. 31, No. 1, pp. 88-100, 1995. |
| 18. | A. C. Vol'mir, Stability of Deformable Systems [in Russian], Nauka,
Moscow, 1967. |
| 19. | A. K. Norr, W. S. Burton, and Ch. W. Bert, "Computational models
for sandwich panels and shells," Appl. Mech. Rev., Vol. 49, No. 3,
pp. 155-199, 1996. |
| 20. | A. I. Golovanov and V. N. Paimushin, "Stress-strain state and
stability of three-layer shells of composite materials with a zone of
separation of the filler from the load-bearing layer," Mekh. Komposit.
Mater., Vol. 29, No. 5, pp. 640-652, 1993. |
|
| Received |
05 May 1999 |
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