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IssuesArchive of Issues2009-3pp.456-462

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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
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