 | | 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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| V. N. Akopyan and A. V. Saakyan, "Stress state of an elastic half-plane containing a thin rigid inclusion," Mech. Solids. 37 (6), 64-69 (2002) |
| Year |
2002 |
Volume |
37 |
Number |
6 |
Pages |
64-69 |
| Title |
Stress state of an elastic half-plane containing a thin rigid inclusion |
| Author(s) |
V. N. Akopyan (Erevan)
A. V. Saakyan (Erevan) |
| Abstract |
Various aspects of contact
interaction of thin rigid or elastic inclusions (internal or/and boundary)
with an elastic half-plane have been addressed in numerous
publications [1-5]. In the present paper, we consider the stress state of
a homogeneous elastic half-plane with a thin rigid
boundary inclusion of finite length, one side of this
inclusion being detached from the matrix. Mathematically,
the problem is stated in the form of two singular
integral equations of the second kind with
fixed singularity and solved by the numerical-analytical
discrete singularity method. |
| References |
| 1. | B. L. Abramyan, "On one contact problem for a half-plane,"
Izv. AN SSSR. MTT [Mechanics of Solids], No. 5, pp. 4-10, 1972. |
| 2. | E. Kh. Grigoryan, "Solution of the problem
of an elastic finite boundary inclusion in a half-plane,"
Uchenye Zapiski EGY. Estestvennye Nauki, No. 3, pp. 32-43, 1981. |
| 3. | V. M. Alexandrov and S. M. Mkhitaryan,
Contact Problems for Bodies with Thin Coatings and Interlayers
[in Russian], Nauka, Moscow, 1983. |
| 4. | V. N. Akopyan, "Stress-strain state of a combined wedge
reinforced by a thin inclusion," in Mechanics of Solids
[in Russian], pp. 63-78, Izd-vo NAN RA, Erevan, 1993. |
| 5. | V. N. Akopyan and A. V. Saakyan, "On one mixed problem
for an elastic wedge weakened by a crack,"
Izv. AN. MTT [Mechanics of Solids], No. 6, pp. 66-78, 1999. |
| 6. | N. I. Muskhelishvili, Some Basic Problems of Mathematical
Theory of Elasticity [in Russian], Nauka, Moscow, 1966. |
| 7. | Ya. S. Uflyand, Integral Transforms in Problems of
Elasticity [in Russian], Izd-vo AN SSSR, Moscow, Leningrad, 1963. |
| 8. | F. Erdogan, G. D. Gupta, and T. S. Cook,
"Numerical solution of singular integral equations,"
in G. C. Sih (Editor), Mechanics of Fracture. Volume 1, pp. 368-425,
Noordoff, Leyden, 1983. |
| 9. | V. Z. Parton and P. I. Perlin, Integral Equations
of the Theory of Elasticity [in Russian], Nauka, Moscow, 1977. |
| 10. | A. V. Saakyan, "Discrete singularity method for
solving singular integral equations with a fixed singularity,"
Izv. NAN RA. Mekhanika, No. 3, pp. 12-19, 2000. |
|
| Received |
29 May 2000 |
| << Previous article | Volume 37, Issue 6 / 2002 | Next article >> |
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