 | | 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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| << Previous article | Volume 48, Issue 6 / 2013 | Next article >> |
| V.N. Hakobyan and A.A. Amirjanyan, "On the Load Transfer from Elastic Inclusions to an Infinite Elastic Orthotropic Plane with Cuts," Mech. Solids. 48 (6), 628-635 (2013) |
| Year |
2013 |
Volume |
48 |
Number |
6 |
Pages |
628-635 |
| DOI |
10.3103/S002565441306006X |
| Title |
On the Load Transfer from Elastic Inclusions to an Infinite Elastic Orthotropic Plane with Cuts |
| Author(s) |
V.N. Hakobyan (Institute of Mechanics, National Academy of Sciences of the Republic of Armenia, pr-t Marshala Bagramyana 24B, Erevan, 375019 Republic of Armenia, vhakobyan@sci.am)
A.A. Amirjanyan (Institute of Mechanics, National Academy of Sciences of the Republic of Armenia, pr-t Marshala Bagramyana 24B, Erevan, 375019 Republic of Armenia, amirjanyan@gmail.com) |
| Abstract |
The present paper deals with the problem of load transfer from elastic inclusions to an infinite elastic orthotropic plane with cuts located on one of the principal orthotropy directions. The constitutive system of equations of this problem is derived under the assumption that the inclusions are in a uniaxial stress state. The obtained system consists of a singular integro-differential equation and a singular integral equation for the jumps of the tangential stresses acting on the inclusion shores and for the derivative of the the cut opening function. The behavior of solutions of the system of constitutive equations at the endpoints of the inclusions and cuts is studied, and the solution of this system is constructed by the numerical-analytic discrete singularity method. |
| Keywords |
inclusion, cut, singular integro-differential equation, contact interaction |
| References |
| 1. | N. Kh. Arutyunyan and S. M. Mkhitaryan,
"To the Contact Problem of Two Half-Infinite Plates
Connected by a Half-Infinite Elastic Strap,"
in Mechanics of Deformable Bodies and Structures
(Mashinostroenie, Moscow, 1975),
pp. 44-51
[in Russian]. |
| 2. | V. M. Alexandrov and S. M. Mkhitaryan,
Contact Problems for Bodies with Thin Coatings and Interlayers
(Nauka, Moscow, 1983)
[in Russian]. |
| 3. | K. L. Agayan,
"On a Contact Problem for an infinite Cracked Plane Reinforces by Elastic Straps,"
Izv. Akad. Nauk Armyan. SSR. Mekh.
29 (4), 3-15 (1976). |
| 4. | A. G. Gorshkov and D. V. Tarlakovskii,
Dynamic Contact Problems with Moving Boundaries
(Nauka, Fizmatlit, Moscow, 1995)
[in Russian]. |
| 5. | V. N. Hakobyan,
Stress Concentration near Defects in Homogeneous and Compound Bodies
(LAP LAMBERT Academic Publishing, 2011). |
| 6. | N. I. Muskhelishvili,
Singular Integral Equations
(Nauka, Moscow, 1968)
[in Russian]. |
| 7. | A. V. Saakyan,
"Discrete Singularity Method Used to Solve Singular Integrodifferential Equations
with an Immovable Singularity,"
Izv. Nats. Akad. Nauk Arm. Ser. Mekh.
53 (3), 12-19 (2000). |
|
| Received |
20 August 2012 |
| Link to Fulltext |
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