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IssuesArchive of Issues2011-3pp.380-386

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Total articles in the database: 9179
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N.K. Galimov, N.M. Yakupov, and S.N. Yakupov, "Experimental-Theoretical Method for Determining Mechanical Characteristics of Spherical Films and Membranes of Complex Structure," Mech. Solids. 46 (3), 380-386 (2011)
Year 2011 Volume 46 Number 3 Pages 380-386
DOI 10.3103/S0025654411030058
Title Experimental-Theoretical Method for Determining Mechanical Characteristics of Spherical Films and Membranes of Complex Structure
Author(s) N.K. Galimov (Institute of Mechanics and Engineering, Kazan Science Center, Russian Academy of Sciences, Lobachevskogo 2/31, Kazan, 420111 Russia)
N.M. Yakupov (Institute of Mechanics and Engineering, Kazan Science Center, Russian Academy of Sciences, Lobachevskogo 2/31, Kazan, 420111 Russia, yzsrr@kfti.knc.ru)
S.N. Yakupov (Institute of Mechanics and Engineering, Kazan Science Center, Russian Academy of Sciences, Lobachevskogo 2/31, Kazan, 420111 Russia, yakupov.samat@yandex.ru)
Abstract There are known methods for determining the mechanical characteristics of films and membranes with plane initial geometry. But the films and membranes can have nonplanar initial shape (shell compositions of material-structure type) and complex structure. It is impossible to determine mechanical characteristics of such objects by the standard uniaxial tension method. There are few papers dealing with mechanical characteristics of shell material-structures with defects.

We indicate two approaches to estimating the strength of shell films and membranes of complex structure. An efficient experimental-theoretical approach to studying integral (reduced) mechanical characteristics of shell films and membranes of spherical shape and complex structure is presented. Several examples of determining mechanical characteristics for linearly and nonlinearly elastic as well as plastic spherical shells, including shells of complex structure, are considered.
Keywords film, membrane, shell composition, complex structure, defect, elastic and plastic materials, mechanical characteristic
References
1.  N. M. Yakupov, N. K. Galimov, and A. A. Leontiev, "Experimental-Theoretical Method for Studying the Strength of Polymer Films," Mekh. Komp. Mater. Konstr. 6 (2), 238-243 (2000) [J. Comp. Mech. Design (Engl. Transl.)].
2.  N. M. Yakupov and S. N. Yakupov, Methods for Analysis of Structural Film Elements (KGASU, Kazan, 2007) [in Russian].
3.  T. Y. Tsui, C. A. Ross, and G. M. Pharr, "Monoindentation Hardness of Soft Films on Hard Substrates: Effect of the Substrate," Mater. Res. Soc. Symp. Proc. 493, 57-62 (1997).
4.  A. R. Shugurov, A. V. Panin, and K. V. Oskomov, "Specific Features of the Determination of the Mechanical Characteristics of Thin Films by the Nanoindentation Technique," Fiz. Tverd. Tela 50 (6), 1007-1012 (2008) [Phys. Solid State (Engl. Transl.) 50 (6), 1050-1055 (2008)].
5.  Kh. M. Mushtari and K. Z. Galimov, Nonlinear Theory of Thin Elastic Shells (Tatknigoizdat, Kazan, 1957; Program for Scientific Translations, Israel, 1961).
6.  K. Z. Galimov, "To the General Theory of Plates and Shells under Finite Displacement and Strains," Prikl. Mat. Mekh. 15 (6), 723-742 (1951) [J. Appl. Math. Mech. (Engl. Transl.)].
7.  F. Otto and R. Trostel, Tensile Structures; Design, Structure, and Calculation of Buildings of Cables, Nets, and Membranes (Stroiizdat, Moscow, 1967) [in Russian].
8.  A. A. Il'yushin, Plasticity (Gostechizdat, Moscow, 1948) [in Russian].
9.  S. P. Timoshenko and S. Woinowsky-Krieger, Theory of Plates and Shells (McGraw-Hill, New York, 1959; Fizmatgiz, Moscow, 1963).
10.  V. S. Chernina, Statics of Thin-Walled Shells of Rotation (Nauka, Moscow, 1968) [in Russian].
11.  V. A. Kabanov, M. S. Akutin, and N. F. Bakeev (Editors), Encyclopedia of Polymers, Vol. 3 (Izd-vo "Sovetskaya Entsiklopediya," Moscow, 1972) [in Russian].
Received 24 March 2009
Link to Fulltext http://www.springerlink.com/content/c38h163561471n01/
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