Edge Effect in a Two-layer Orthotropic Strip


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Abstract

The article discusses the edge effect (boundary layer, Saint-Venant effect) of a two-layer strip of orthotropic materials. Two methods are used to solve the problem of plane elasticity (solution in stresses and displacements). Both methods are constructed in such a way that they can describe the edge effect. This allows us to construct a theory for calculating the edge effects of single-layer strips based on which we manage to solve the problem of calculating the edge effect of two-layer strips analytically accurately. In fact, the problem can be summarized by saying that it is calculation of a single-layer strip. The obtained numerical results show that both methods of solution lead to the completely coinciding results.

About the authors

Yu. I. Butenko

Kazan State University of Architecture and Engineering Institute of Building

Email: faritbox@mail.ru
Russian Federation, ul. Zelenaya 1, Kazan, 420043

R. A. Kayumov

Kazan State University of Architecture and Engineering Institute of Building; Institute of Aviation, Land Vehicles and Energetics

Author for correspondence.
Email: kayumov@rambler.ru
Russian Federation, ul. Zelenaya 1, Kazan, 420043; ul. K. Marksa 10, Kazan, 420111

F. R. Shakirzyanov

Kazan State University of Architecture and Engineering Institute of Building

Author for correspondence.
Email: faritbox@mail.ru
Russian Federation, ul. Zelenaya 1, Kazan, 420043

B. F. Tazyukov

Institute of Computational Mathematics and Information Technologies

Email: faritbox@mail.ru
Russian Federation, ul. Kremlyovskaya 35, Kazan, 420008

I. Z. Mukhamedova

Kazan State University of Architecture and Engineering Institute of Building

Email: faritbox@mail.ru
Russian Federation, ul. Zelenaya 1, Kazan, 420043


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