 | | 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: | | 12854 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
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| In English (Mech. Solids): | | 4810 |
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| G. Z. Sharafutdinov and A. L. Shein, "Solution of the disk compression problem in the three-dimensional setting," Mech. Solids. 44 (3), 456-462 (2009) |
| Year |
2009 |
Volume |
44 |
Number |
3 |
Pages |
456-462 |
| DOI |
10.3103/S0025654409030145 |
| Title |
Solution of the disk compression problem in the three-dimensional setting |
| Author(s) |
G. Z. Sharafutdinov (Institute of Mechanics, Lomonosov Moscow State University, Michurinskii pr-t 1, Moscow, 119192 Russia, sharaf@imec.msu.ru)
A. L. Shein (Moscow State Industrial University, Avtozavodskaya 16, Moscow, 115280 Russia, shejn@msiu.ru) |
| Abstract |
We use three complex potentials to solve the compression problem for a thin circular plate loaded along the external contour. We present the solution in series form and compare the obtained solution with the classical solution. |
| References |
| 1. | N.I. Muskhelishvili,
Some Fundamental Problems of Mathematical Elasticity Theory
(Nauka, Moscow, 1966) [in Russian]. |
| 2. | G.Z. Sharafutdinov,
"Application of Functions of a Complex Variable
to Certain Three-Dimensional Problems of Elasticity Theory,"
Prikl. Mat. Mekh. 64 (4), 659-669 (2000)
[J. Appl. Math. Mech. (Engl. Transl.) 64 (4), 635-645 (2000)]. |
| 3. | G.Z. Sharafutdinov,
"Solution of the Kirsch Problem in Three-Dimensional Statement,"
Vestnik Moskov. Univ. Ser. I. Mat. Mekh., No. 4, 20-25 (2001)
[Moscow Univ. Math. Bull. (Engl. Transl.)]. |
| 4. | G.Z. Sharafutdinov,
"Stresses in an Infinite Plate with a Free Elliptic Hole,"
Izv. Akad. Nauk. Mekh. Tverd. Tela, No. 5, 108-119 (2002)
[Mech. Solids (Engl. Transl.) 37 (5), 90-99 (2002)]. |
| 5. | G.Z. Sharafutdinov,
"Stress and Concentrated Forces in Thin Annular Plates,"
Prikl. Mat. Mekh. 68 (1), 45-59 (2004)
[J. Appl. Math. Mech. (Engl. Transl.) 68 (1), 39-51 (2004)]. |
| 6. | Chi-Teh Wang,
Applied Elasticity
(McGraw-Hill, New York, 1953; Fizmatgiz, Moscow, 1959). |
| 7. | S.P. Timoshenko and J.N. Goodyear,
Theory of Elasticity
(McGraw-Hill, New York, 1951; Nauka, Moscow, 1975). |
| 8. | M.M. Frocht,
Photoelasticity, Vols. 1 and 2
(Wiley, New York, 1941; Gostekhizdat, Moscow-Leningrad, 1948, 1950). |
|
| Received |
29 June 2006 |
| Link to Fulltext |
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