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IssuesArchive of Issues2002-5pp.82-89

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N. V. Banichuk, "Optimal design of quasi-brittle membrane shells subjected to constant or cyclic loads," Mech. Solids. 37 (5), 82-89 (2002)
Year 2002 Volume 37 Number 5 Pages 82-89
Title Optimal design of quasi-brittle membrane shells subjected to constant or cyclic loads
Author(s) N. V. Banichuk (Moscow)
Abstract Issues considered in this paper pertain to the design of shells made of quasi-brittle materials and having minimal weight. The problems under investigation involve the determination of an optimal thickness distribution taking into account the possibility of crack formation. Such problems are characterized by incomplete data as regards the initial dimensions, position, and orientation of cracks. We formulate some basic problems of optimal shell design based on a guaranteed approach and describe some results of analytic investigations.
References
1.  S. P. Timoshenko and S. Woynowsky-Krieger, Plates and Shells [Russian translation], Nauka, Moscow, 1966.
2.  V. V. Novozhilov, K. F. Chernykh, and E. I. Mikhailovskii, The Linear Theory of Thin Shells [in Russian], Politekhnika, Leningrad, 1991.
3.  M. F. Kanninen and C. H. Popelar, Advanced Fracture Mechanics, Oxford Univ. Press, New York, 1985.
4.  E. S. Folias, "Failure of pressurized vessels," in Fracture: a Topical Encyclopedia of Current Knowledge, pp. 275-288, Krieger Publ. Co., Malabar, 1998.
5.  N. V. Banichuk, "Problems of optimal design on the basis of mechanics of quasi-brittle fracture," Doklady AN, Vol. 358, No. 1, pp. 40-43, 1998.
6.  N. V. Banichuk, "Optimal design of quasi-brittle elastic bodies with cracks," Mech. Struct. and Mach., Vol. 26, No. 4, pp. 365-376, 1998.
7.  K. Hellia, Introduction to Fracture Mechanics [Russian translation], Mir, Moscow, 1988.
8.  R. N. Smith, Basic Fracture Mechanics: Including an Introduction to Fatigue, Butterworth-Heinemann Ltd., Oxford, 1999.
Received 07 February 2002
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