 | | 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: | | 12882 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8071
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| In English (Mech. Solids): | | 4811 |
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| << Previous article | Volume 47, Issue 6 / 2012 | Next article >> |
| S.M. Mkhitaryan, "Solution of the First Boundary Value Problem of Nonlinear Theory of Steady-State Creep for a Half-Space in Antiplane Deformation," Mech. Solids. 47 (6), 646-653 (2012) |
| Year |
2012 |
Volume |
47 |
Number |
6 |
Pages |
646-653 |
| DOI |
10.3103/S0025654412060064 |
| Title |
Solution of the First Boundary Value Problem of Nonlinear Theory of Steady-State Creep for a Half-Space in Antiplane Deformation |
| Author(s) |
S.M. Mkhitaryan (Institute of Mechanics, National Academy of Sciences of Republic of Armenia, 24b Marshal Baghramian ave., Erevan, 0019, Republic of Armenia, smkhitaryan@mechins.sci.am) |
| Abstract |
The first boundary value problem of nonlinear theory of steady-state creep with power-law relationship between the stresses and the strain rates is considered for a half-space under conditions of antiplane (out-of-plane) deformation when tangential distributed forces are given on the half-space boundary. By using the introduced harmonic pseudostress function, we reduce solving this problem to solving a nonlinear singular integral equation admitting an exact solution. |
| Keywords |
antiplane (out-of-plane) deformation, creep, power-law dependence, pseudostress function, nonlinear integral equation |
| References |
| 1. | N. Kh. Arutyunyan,
"The Plane Contact Problem of the Theory of Creep,"
Prikl. Mat. Mekh.
23 (5), 901-924 (1959)
[J. Appl. Math. Mech. (Engl. Transl.)
23 (5), 1283-1313 (1959)]. |
| 2. | N. Kh. Arutyunyan,
"Plane Contact Problem of Creeping with Power-Law Strengthening of the Material,"
Izv. Akad. Armyan. SSR. Ser. Fiz.-Mat. Nauk
12 (2), 77-105 (1959)
[Sov. J. Contemporary Math. Anal. (Engl. Transl.)] |
| 3. | V. M. Alexandrov and S. R. Brudnyi,
"On the Method of Generalized Superposition in Contact Problem
of Antiplane Shear,"
Izv. Akad. Nauk SSSR. Mekh. Tverd. Tela,
No. 4, 71-78 (1986)
[Mech. Solids (Engl. Transl.)]. |
| 4. | J. R. Rice,
Mathematical Analysis in the Mechanics of Fracture. Fracture, Vol. 2
(Mir, Moscow, 1975), pp. 204-335
[in Russian]. |
| 5. | Y. S. Lee and H. Gong,
"Application of Complex Variables and Pseudostress Function
to Power-Law Materials and Stress Analysis of Single Rigid Inclusion
in Power-Law Materials to Simple Tension and Pure Shear,"
Int. J. Mech. Sci.
29 (10/11), 669-694 (1987). |
| 6. | N. Kh. Arutyunyan and A. V. Manzhirov,
Contact Problems of the Theory of Creep
(Izd-vo Inst. Mekaniki NAN RA, Erevan, 1999)
[in Russian]. |
| 7. | L. M. Kachanov,
Theory of Creep
(Fizmatgiz, Moscow, 1960)
[in Russian]. |
| 8. | L. M. Kachanov,
Foundations of Fracture Mechanics
(Nauka, Moscow, 1974)
[in Russian]. |
| 9. | N. I. Muskhelishvili,
Several Fundamental Problems of Mathematical Theory of Elasticity
(Nauka, Moscow, 1966)
[in Russian]. |
| 10. | Yu. A. Brychkov and A. P. Prudnikov,
Integral Transformations of Generalized Functions
(Nauka, Moscow, 1977)
[in Russian]. |
| 11. | H. Bateman and A. Erdelyi,
Tables of Integral Transforms
(McGraw-Hill, 1954; Nauka, Moscow, 1969). |
|
| Received |
27 July 2012 |
| Link to Fulltext |
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