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IssuesArchive of Issues2002-1pp.149-159

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Yu. I. Butenko, "A modified method of asymptotic integration: application to the construction of the theory of orthotropic rods. Part 2," Mech. Solids. 37 (1), 149-159 (2002)
Year 2002 Volume 37 Number 1 Pages 149-159
Title A modified method of asymptotic integration: application to the construction of the theory of orthotropic rods. Part 2
Author(s) Yu. I. Butenko (Kazan)
Abstract A multi-term asymptotic theory was formulated in [1] for the internal problem of a rod of orthotropic material, with the order of accuracy being ε2. The present work continues these studies and is concerned with the boundary layer problem.
References
1.  Yu. I. Butenko, "A modified method of asymptotic integration: application to the construction of the theory of orthotropic rods. Part I," Izv. AN. MTT [Mechanics of Solids], No. 4, pp. 91-105, 2001.
2.  A. L. Goldenveizer, "Construction of an approximate theory of plate bending by the method of asymptotic integration of elasticity equations," PMM [Applied Mathematics and Mechanics], Vol. 26, No. 4, pp. 668-686, 1962.
3.  A. H. Nayfeh, Perturbation Methods [Russian translation], Mir, Moscow, 1976.
4.  L. A. Agalovyan, Asymptotic Theory of Anisotropic Plates and Shells [in Russian], Nauka, Moscow, 1997.
5.  V. V. Stepanov, A Course on Differential Equations [in Russian], Fizmatgiz, Moscow, 1958.
6.  M. I. Gusein-Zade, "On the necessary and sufficient conditions for the existence of decaying solutions of the elasticity problem for a strip," PMM [Applied Mathematics and Mechanics], Vol. 29, No. 4, pp. 752-760, 1965.
7.  L. A. Agalovyan and Sh. M. Khachatryan, "Generalized orthogonality in the sense of Papkovich and the conditions of existence of decaying solutions of the plane problem for an orthotropic strip," Doklady AN ArmSSR, Vol. 60, No. 3, pp. 157-163, 1975.
Received 05 February 1999
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