 | | 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
|
| In English (Mech. Solids): | | 4760 |
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| << Previous article | Volume 39, Issue 5 / 2004 | Next article >> |
| G. S. Kit, Ya. I. Kunets, and V. V. Mikhas'kiv, "Interaction of a stationary wave with a thin low stiffness penny-shaped inclusion in an elastic body," Mech. Solids. 39 (5), 64-70 (2004) |
| Year |
2004 |
Volume |
39 |
Number |
5 |
Pages |
64-70 |
| Title |
Interaction of a stationary wave with a thin low stiffness penny-shaped inclusion in an elastic body |
| Author(s) |
G. S. Kit (Lvov)
Ya. I. Kunets (Lvov)
V. V. Mikhas'kiv (Lvov) |
| Abstract |
Asymptotic expansion matching and boundary integral equation methods are utilized to investigate the stress-strain state of an elastic body that contains a penny-shaped inclusion and is subjected to a stationary elastic wave. The inclusion has full contact with the body. The behavior of the solution near the edges of the inclusion, where the boundary layer phenomenon is observed, is investigated. Previously, the asymptotic expansion matching method was utilized to solve 2D static [1, 2] and dynamic [3-5] problems related to the interaction of a thin elastic inclusion with a matrix and to bodies with thin cuts [6, 7]. The boundary integral equation technique was utilized to investigate the stress-strain state of elastic bodies with spatial cracks [8-10]. |
| References |
| 1. | A. B. Movchan and S. A. Nazarov, "Stress-strain state of a planar region with a thin elastic inclusion of finite dimensions," Izv. AN SSSR. MTT [Mechanics of Solids], No. 1, pp. 75-83, 1987. |
| 2. | S. K. Kanaun and V. M. Levin,
The Effective Field Method in Mechanics of Composite Materials
[in Russian], Petrozavodsk. Gos. Un-t,
Petrozavodsk, 1993. |
| 3. | E. Sanchez-Palencia, Nonhomogeneous Media and
Vibration Theory [Russian translation], Mir, Moscow, 1984. |
| 4. | H. S. Kit, Ya. I. Kunets, and V. F. Yemets,
"Elastodynamic scattering from a thin-walled inclusion
of low rigidity,"
Int. J. of Eng. Science, Vol. 37, pp. 331-345, 1999. |
| 5. | V. F. Emets, H. S. Kit, and Ya. I. Kunets,
"Interaction of time-harmonic SH-waves with a crack-like inclusion: edge region analysis," Int. J. of Fracture, Vol. 94, pp. 52-62, 1998. |
| 6. | I. S. Zorin and A. B. Movchan,
"Stress-strain state of an elastic space with a thin cavity,"
Vestnik LGU, Ser. 1, No. 3, pp. 63-68, 1986. |
| 7. | A. B. Movchan, "Brittle fracture of an elastic plane with a thin rectangular cut,"
Vestnik LGU, Ser. 1, No. 1, pp. 63-67, 1998. |
| 8. | H. S. Kit, M. V. Khaj, and V. V. Mykhas'kiv,
"Analysis of dynamic stress concentration in an infinite body with parallel penny-shaped cracks by BIEM,"
Eng. Fracture Mech., Vol. 55, No. 2, pp. 191-207, 1996. |
| 9. | R. V. Goldstein and A. V. Kaptsov,
"Tensile crack in an elastic medium subjected to harmonic waves,"
Izv. AN SSSR. MTT [Mechanics of Solids], No. 6, pp. 93-100, 1984. |
| 10. | E. V. Glushkov and N. V. Glushkova,
"Diffraction of elastic waves on spatial cracks of arbitrary shape,"
PMM [Applied mathematics and Mechanics], Vol. 60, No. 2, pp. 282-289,
1996. |
| 11. | V. A. Kupradze, The Potential Method in Elasticity
[in Russian], Fizmatgiz, Moscow, 1963. |
| 12. | V. G. Maz'ya, S. A. Nazarov, and B. A. Plamenevskii,
Asymptotic Behavior of Solutions of Elliptic Boundary-value Problems for Singularly Perturbed Domains
[in Russian], Tbilissk. Gos. Un-t,
Tbilisi, 1980. |
| 13. | G. S. Kit and M. V. Khai, The Potential Method in 3D Thermoelasticity Problems for Cracked Bodies,"
Naukova Dumka, Kiev, 1989. |
|
| Received |
10 September 2002 |
| << Previous article | Volume 39, Issue 5 / 2004 | Next article >> |
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