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Determining the boundary layers in the plane problem for three-layer strips. Part 1

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Abstract

We propose an exact solution of the problem on a boundary layer (a stress-strain state decreasing away from the boundary) for three-layer strips (rods) whose layers are made of different materials. We use the asymptotic integration method to obtain boundary eigenfunctions and a characteristic equation for the parameter describing the boundary layer decay rate. We study how the middle layer material affects the boundary layer extent.

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Authors and Affiliations

  1. Kazan State University of Architecture and Civil Engineering, Zelenaya 1, Kazan, 420043, Russia

    Yu. I. Butenko

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  1. Yu. I. Butenko
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Correspondence to Yu. I. Butenko.

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Original Russian Text © Yu.I. Butenko, 2008, published in Izvestiya Akademii Nauk. Mekhanika Tverdogo Tela, 2008, No. 4, pp. 58–76.

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Butenko, Y.I. Determining the boundary layers in the plane problem for three-layer strips. Part 1. Mech. Solids 43, 571–585 (2008). https://doi.org/10.3103/S0025654408040067

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  • DOI: https://doi.org/10.3103/S0025654408040067

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