 | | 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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| L.A. Gasanova, P.M. Gasanova, and L.Kh. Talybly, "Solution of a Viscoelastic Boundary-Value Problem on the Action of a Concentrated Force in an Infinite Plane," Mech. Solids. 46 (5), 772-778 (2011) |
| Year |
2011 |
Volume |
46 |
Number |
5 |
Pages |
772-778 |
| DOI |
10.3103/S0025654411050116 |
| Title |
Solution of a Viscoelastic Boundary-Value Problem on the Action of a Concentrated Force in an Infinite Plane |
| Author(s) |
L.A. Gasanova (Institute of Mathematics and Mechanics, Azerbaijan National Academy of Sciences, F. Agayev 9, Baku, AZ1141 Azerbaijan)
P.M. Gasanova (Institute of Mathematics and Mechanics, Azerbaijan National Academy of Sciences, F. Agayev 9, Baku, AZ1141 Azerbaijan)
L.Kh. Talybly (Institute of Mathematics and Mechanics, Azerbaijan National Academy of Sciences, F. Agayev 9, Baku, AZ1141 Azerbaijan, ltalybly@yahoo.com) |
| Abstract |
We formulate a theorem containing the solution of a boundary-value problem of isotropic linear viscoelasticity on the action of a concentrated force in an infinite plane. The two creep functions that are used in the constitutive relations and correspond to the shear and bulk expansion states and assumed to be independent; the general forms of these functions are not specified. Formulas are presented for the stress, strain, and displacement components. |
| Keywords |
viscoelasticity, concentrated force, creep function |
| References |
| 1. | S. P. Timoshenko and J. N. Goodyear,
Theory of Elasticity
(McGraw-Hill, New York, 1970; Nauka, Moscow, 1975). |
| 2. | H. G. Hahn,
Elastizitätstheorie
(Teubner, Stuttgart, 1985; Mir, Moscow, 1988). |
| 3. | R. M. Christensen,
Theory of Viscoelasticity. An Introduction
(Acad. Press, New York, 1971; Mir, Moscow, 1974). |
| 4. | L. K. Talybly,
"Boussinesq's Viscoelastic Problems on Normal Concentrated Force on a Half-Space Surface,"
Mech. Time-Dep. Mater.
14 (3), 253-259 (2010). |
| 5. | F. G. Tricomi,
Integral Equations
(Interscience Publ., New York, 1957; Izd-vo Inostr. Lit., Moscow, 1960). |
| 6. | A. A. Il'yushin,
"Experimental Method of Solving an Integral Equation of the Theory of Viscoelasticity,"
Mekh. Polim.,
No. 4, 584-587 (1969)
[Polimer Mech. (Engl. Transl.)
5 (4), 506-509 (1969)]. |
| 7. | A. A. Il'yushin and B. E. Pobedrya,
Foundations of the Mathematical Theory of Thermoviscoelasticity
(Nauka, Moscow, 1970)
[in Russian]. |
|
| Received |
30 June 2009 |
| Link to Fulltext |
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