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IssuesArchive of Issues2007-4pp.603-618

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Yu. I. Butenko, "Study of the boundary layer in a laminated plate," Mech. Solids. 42 (4), 603-618 (2007)
Year 2007 Volume 42 Number 4 Pages 603-618
Title Study of the boundary layer in a laminated plate
Author(s) Yu. I. Butenko (Kazan State University of Architecture and Civil Engineering, Zelenaya 1, Kazan, 420043, Russia)
Abstract The problem of determining the stress-strain state near the edges of single- and multilayer structures has been currently discussed in the literature [1–4]. For this, in addition to the solution of the internal problem, it is necessary to have the solution of the boundary layer problem for each layer, which is the goal of the present paper.
References
1.  A. L. Goldenveizer, "Derivation of an Approximate Theory of Bending of a Plate by the Method of Asymptotic Integration of the Equations of the Theory of Elasticity," Prikl. Mat. Mekh. 26 (4), 668-686 (1962) [J. Appl. Math. Mech. (Engl. Transl.)].
2.  L. A. Agalovyan, Asymptotic Theory of Anisotropic Plates and Shells (Nauka, Moscow, 1997) [in Russian].
3.  Yu. I. Butenko, Variational Asymptotic Methods for Construction of Nonclassical Methods for the Analysis of Rods and Plates (Novoe Znanie, Kazan, 2001) [in Russian].
4.  M. I. Gusein-Zade, "Stressed State of a Boundary Layer for Laminated Plates," in Proceedings of the Seventh All-Union Conference on Plates and Shells Theory (Nauka, Moscow, 1970), pp. 638-649 [in Russian].
5.  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 17 May 2004
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