The Theory of Block Structures in Problems on the Strength of Galleries and Constructions with Multiple Connections


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Abstract

It is shown that the boundary-value problem for a layered medium with parallel multiple cavities is reduced to the Riemann vector problem. To solve it, a factorization method is developed, which makes possible to construct the solution to be built in arbitrary approximations.

About the authors

V. A. Babeshko

Southern Research Center, Russian Academy of Sciences; Kuban State University

Author for correspondence.
Email: babeshko41@mail.ru
Russian Federation, Rostov-on-Don, 334006; Krasnodar, 350040

O. V. Evdokimova

Southern Research Center, Russian Academy of Sciences

Email: babeshko41@mail.ru
Russian Federation, Rostov-on-Don, 334006

O. M. Babeshko

Kuban State University

Email: babeshko41@mail.ru
Russian Federation, Krasnodar, 350040

A. V. Pavlova

Kuban State University

Email: babeshko41@mail.ru
Russian Federation, Krasnodar, 350040

I. S. Telyatnikov

Southern Research Center, Russian Academy of Sciences

Email: babeshko41@mail.ru
Russian Federation, Rostov-on-Don, 334006

A. G. Fedorenko

Southern Research Center, Russian Academy of Sciences

Email: babeshko41@mail.ru
Russian Federation, Rostov-on-Don, 334006

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