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IssuesArchive of Issues2009-1pp.105-113

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Yu. I. Butenko, "Determination of boundary layers in the plane problem for three-layer strips. Part 2," Mech. Solids. 44 (1), 105-113 (2009)
Year 2009 Volume 44 Number 1 Pages 105-113
DOI 10.3103/S0025654409010117
Title Determination of boundary layers in the plane problem for three-layer strips. Part 2
Author(s) Yu. I. Butenko (Kazan State University of Architecture and Civil Engineering, Zelenaya 1, Kazan, 420043, Russia, ruten@list.ru)
Abstract In the first part of this paper, we considered the exact statement of the plane elasticity problem in displacements for strips made of various materials (problem A, an isotropic material; problem B, an orthotropic material with 2G12<√E1E2; problem C, an orthotropic material with 2G12>√E1E2). Further, we stated and solved the boundary layer problem (the problem on a solution decaying away from the boundary) for a sandwich strip of regular structure consisting of isotropic layers (problem AA). In the present paper, we use the solution of the plane problem to consider the problem for sandwich strips of regular structure with isotropic face layers and orthotropic filler (problem AB).
References
1.  Yu. I. Butenko, "Determining the Boundary Layers in the Plane Problem for Three-Layer Strips. Part 1," Izv. Akad. Nauk.Mekh. Tverd. Tela, No. 4, 58-76 (2008) [Mech. Solids (Engl. Transl.) 43 (4), 571-585 (2008)].
2.  L. A. Agalovyan, Asymptotic Theory of Anisotropic Plates and Shells (Nauka, Moscow, 1997) [inRussian].
3.  Yu. M. Artyukhin, N. G. Gur’yanov, and L.M. Kotlyar, System "Mathematica-4.0" and Its Applications in Mechanics (Izd-vo KamPI, Kazan, Naberezhnye Chelny, 2002) [in Russian].
Received 20 February 2006
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