 | | 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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| K.L. Agayan, E.Kh. Grigoryan, and K.G. Gulyan, "Diffraction of a Shear Plane Wave in a Compound Elastic Space with a Half-Infinite Crack Parallel to the Inhomogeneity Line," Mech. Solids. 48 (2), 203-209 (2013) |
| Year |
2013 |
Volume |
48 |
Number |
2 |
Pages |
203-209 |
| DOI |
10.3103/S002565441302012X |
| Title |
Diffraction of a Shear Plane Wave in a Compound Elastic Space with a Half-Infinite Crack Parallel to the Inhomogeneity Line |
| Author(s) |
K.L. Agayan (Institute of Mechanics, National Academy of Sciences of Republic of Armenia, Marshal Baghramian ave., 24B, Erevan, 375019 Republic of Armenia, karo.aghayan@gmaiil.com)
E.Kh. Grigoryan (Institute of Mechanics, National Academy of Sciences of Republic of Armenia, Marshal Baghramian ave., 24B, Erevan, 375019 Republic of Armenia)
K.G. Gulyan (Institute of Mechanics, National Academy of Sciences of Republic of Armenia, Marshal Baghramian ave., 24B, Erevan, 375019 Republic of Armenia) |
| Abstract |
Problems of stress wave propagation and diffraction in elastic inhomogeneous media are undoubtedly of interest to scientists from the viewpoint of investigation of fundamental laws of dynamic processes and of the use of the results in technical and technological applications. The paper deals with the dynamic contact problem of shear plane wave diffraction at the edge of a semi-infinite crack in a compound space consisting of two elastic half-spaces. The questions related to the onset of surface waves and the wave field behavior in far-field regions are also considered. |
| Keywords |
wave field, diffraction, functional equation, factorization, asymptotic formulas |
| References |
| 1. | N. Kh. Arutyunyan,
"Contact Problem for a Half-Plane with Elastic Reinforcement,"
Prikl. Mat. Mekh.
32 (4), 632-646 (1968)
[J. Appl. Math. Mech. (Engl. Transl.)
32 (4), 652-665 (1968)]. |
| 2. | K. L. Agayan, E. Kh. Grigoryan, and S. A. Dzhilavyan,
"Diffraction of Shear Plane Wave in Elastic Space with a Semiinfinite Elastic Inclusion,"
Izv. Nats. Akad. Nauk Armenii. Mekh.
56 (4), 3-17 (2003). |
| 3. | E. Kh. Grigoryan and K. L. Agayan,
"Radiation of Plane Shear Wave from an Elastic Waveguider into a Compound Elastic Space,"
Izv. Nats. Akad. Nauk Armenii. Mekh.
60 (3), 23-37 (2007). |
| 4. | K. L. Agayan,
"Diffraction of Shear Plane Wave at the Edge of an Elastic Layer in a Compound Space,"
in Proc. 14th Int. Conf. "Contemporary Problems of Continuum Mechanics", Vol. 1
(Izd-vo YUFU, Rostov-on-Don, 2010),
pp. 16-20
[in Russian]. |
| 5. | A. R. Voskanyan and E. Kh. Grigoryan,
"Diffraction of Shear Plane Wave in Elastic Space with a Piecewise Homogeneous Infinite Elastic Inclusion,"
Izv. Nats. Akad. Nauk Armenii. Mekh.
60 (2), 3-20 (2007). |
| 6. | E. Kh. Grigoryan and L. V. Sarkisyan,
"Diffraction of Shear Electroelastic Surface Waves at the Edge of an Electroconducting Elastic Layer,"
Izv. Nats. Akad. Nauk Armenii. Mekh.
52 (1), 30-39 (1999). |
| 7. | E. Kh. Grigoryan and S. A. Dzhilavyan,
"Diffraction of Shear Plane Wave at a Semiinfinite Crack in Piezoelectric Space,"
Izv. Nats. Akad. Nauk Armenii. Mekh.
58 (1), 38-50 (2005). |
| 8. | E. Kh. Grigoryan and A. S. Mekumyan,
"Diffraction of Shear Plane Wave in Piezoelectric Space at the Edges of Semiinfinite Metallic Layers,"
Izv. Nats. Akad. Nauk Armenii. Mekh.
58 (3), 16-28 (2005). |
| 9. | S. A. Dzhilavyan and G. A. Shakhbazyan,
"Diffraction of Shear Plane Wave at a Semiinfinite Crack in Piezoelectric Space
with an Infinite Metallic Thin Layer,"
in Proc. 2nd Int. Conf. "Actual Problems of Continuum Mechanics"
(Izdat. EGUAS, Erevan, 2010),
pp. 232-235
[in Russian]. |
| 10. | K. L. Agayan and E. Kh. Grigoryan,
"Diffraction of Shear Plane Electroelastic Wave at Semiinfinite Electrode in Piezoelectric Space with a Slot,"
Izv. Nats. Akad. Nauk Armenii. Mekh.
63 (1), 50-69 (2010). |
| 11. | K. L. Agayan,
"Diffraction of Electroelastic Shear Plane Waves at the Edges of Semiinfinite Electrodes
in Piezoelectric Space with a Slit,"
Ekolog. Vestnik Nauchn. Tsentrov Chernomorsk. Ekon. Sotrudn.,
No. 1, 13-18 (2011). |
| 12. | E. Kh. Grigoryan and K. L. Agayan,
"On a New Method for Determining Asymptotic Formulas in Problems of Wave Diffraction,"
Dokl. Nats. Akad. Nauk Armenii,
No. 3, 261-271 (2010). |
| 13. | W. Nowacki,
Theory of Elasticity
(PWN, Warsaw, 1970; Mir, Moscow, 1975). |
| 14. | B. Noble,
Methods Based on the Wiener-Hopf Technique
for the Solution of Partial Differential Equations
(Pergamon Press, London etc., 1958; Mir, Moscow, 1962). |
| 15. | V. T. Grinchenko and V. V. Meleshko,
Harmonic Vibrations and Waves in Elastic Bodies
(Naukova Dumka, Kiev, 1981)
[in Russian]. |
|
| Received |
20 July 2012 |
| Link to Fulltext |
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