 | | 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. A. Zadoyan, "Strength of joints of compound plates," Mech. Solids. 38 (1), 91-100 (2003) |
| Year |
2003 |
Volume |
38 |
Number |
1 |
Pages |
91-100 |
| Title |
Strength of joints of compound plates |
| Author(s) |
M. A. Zadoyan (Erevan) |
| Abstract |
We analyze the stress state on the edge of contact surfaces
of compound plates made of materials subject to power law hardening,
with transverse shear taken into account. We find a family of
limit surfaces of finite moments (stresses) separating stress-free
regions from those of strong stress concentration.
The formulas obtained for moments and shear forces, with transverse
shear and material hardening taken into account,
are compared with similar expressions obtained in the classical theory of
bending of plates. It is shown that the degree of stress concentration
is the same, but the shear forces in the neighborhood under consideration
remain bounded and tend to zero at corner points, in contrast to
the classical theory (valid for linearly elastic materials). |
| References |
| 1. | K. S. Chobanyan, Stresses in Compound Elastic Bodies [in Russian],
Izd-vo AN ArmSSR, Erevan, 1987. |
| 2. | M. A. Zadoyan,
Spatial Problems in the Theory of Plasticity [in Russian], Nauka, Moscow, 1992. |
| | |
| 3. | M. A. Zadoyan,
"On low-stress conditions for compound plates,"
Doklady AN, Vol. 332, No. 3, pp. 319-321, 1993. |
| 4. | M. A. Zadoyan, "A problem of low-stress in compound plates,"
Izv. NAN RA. Mekhanika, Vol. 51, No. 1, pp. 21-25, 1998. |
| 5. | B. G. Galerkin,
Selected Works. Volume 2 [in Russian], Izd-vo AN SSSR, Moscow, 1953. |
| 6. | E. J. Reissner,
"On the theory of bending of elastic plates,"
Math. and Phys., Vol. 23, No. 4, pp. 184-191, 1944. |
| 7. | S. A. Ambartsumyan,
Theory of Anisotropic Plates [in Russian], Nauka, Moscow, 1987. |
| 8. | V. V. Vasil'ev,
"On the theory of thin plates," Izv. AN. MTT [Mechanics of Solids],
No. 3, pp. 26-47, 1992. |
| 9. | V. M. Belubekyan and M. V. Belubekyan,
"On boundary conditions in the theory of plates,"
Izv. NAN RA. Mekhanika, Vol. 52, No. 2, pp. 11-21, 1999. |
| 10. | K. Washizu,
Variational Methods in Elasticity and Plasticity [Russian translation],
Mir, Moscow, 1987. |
| 11. | M. A. Zadoyan,
"Stresses near a corner point of a plate,"
Doklady NAN RA, Vol. 97, No. 4, pp. 25-31, 1997. |
| 12. | M. A. Zadoyan,
"A condition of low-stress for a wedge composed of
nonlinearly elastic materials," PMM [Applied Mathematics and Mechanics], Vol. 64, No. 3, pp. 444-453, 2000. |
| 13. | W. S. Burton and G. B. Sinclair,
"On the singularities in Reissner's theory for the bending of
elastic plates," Trans. ASME J. Appl. Mech., Vol. 53, No. 1,
pp. 220-232, 1986. |
| 14. | R. J. Hartford and G. J. Sih,
"Effect of plate thickness on the bending stress distribution around
through cracks," Math. and Phys., Vol. 47, No. 3, pp. 276-291, 1968. |
| 15. | E. V. Belubekyan,
"Bending of a transversely isotropic rectangular plate with a symmetric
crack," Doklady AN ArmSSR, Vol. 49, No. 5, pp. 225-232, 1968. |
|
| Received |
18 September 2000 |
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