ANALYSIS OF THE STRESS STATE OF THREE-LAYERED ANISOTROPIC FOUNDATION

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Abstract

The results of calculations based on the equations of the plane problem of the theory of elasticity for determining stresses in a three-layer anisotropic base under the action of a static normal surface load are presented. It is considered a variant of the complete cohesion between the layers. The stress functions in each layer are written through the normal and tangential forces arising on the line of contact between the strip and the half-plane. The contact forces between the strip and the half-plane are determined from the system of two equations and conditions on the surface of the base. As a result, the stress functions in each layer are written through the surface load in the form of improper integrals. An analysis of the stress state is carried out according to the model of a three-layer iso- tropic base, depending on the elastic characteristics of the material of the layers. The influence of anisotropy of the material of layers in a three-layer soil mass is shown.

About the authors

SERGEY GENNADIEVICH KUDRYAVTSEV

Federal State Budgetary Educational Institution of Higher Professional Education "Volga State University of Technology"

Author for correspondence.
Email: KudryavcevSG@volgatech.net

candidate of technical sciences, docent. In 1974, he graduated from the mechanical faculty of the Mari Polytechnic Institute named after M. Gorky and the distribution of the strength of materials and theoretical mechanics in the post of assistant was left for work at the department. 1978-1980: postgraduate of the department of strength of materials and the theory of elasticity of the Moscow Institute of Civil Engineering named after V.V. Kuibyshev (scientific leader - Professor, doctor of technical Sciences Lucas P.A.). In 1987, he defended his thesis on specialty 05.23.17" Structural Mechanics". In 1991, he was elected to the post of docent of strength of materials. Honored Worker of Higher Professional Education of the Russian Federation, Honored Worker of Edu- cation of the Republic of Mari El. Research interests: linear and nonlinear problems in the theory of elasticity.

424000, Республика Марий Эл, г. Йошкар-Ола, пл. Ленина, дом 3, кафедра сопротивления материалов и прикладной механики ФГБОУ ВО «ПГТУ»

JULIA MIKHAILOVNA BULDAKOVA

Federal State Budgetary Educational Institution of Higher Professional Education "Volga State University of Technology"

Email: KudryavcevSG@volgatech.net

senior lecturer of chair of materials resistance and applied mechanics of the Volga State University of Technology. In 2010, she graduated from the faculty of civil engineering of Mari State Technical University with the award of the qualification the engineer. From 2010 to 2013, she was postgraduate student of chair of materials resistance and applied mechanics of Volga Tech. She is working at the Department since 2014. Research interests: linear theory of elasticity of anisotropic bodies.

424000, Республика Марий Эл, г. Йошкар-Ола, пл. Ленина, дом 3, кафедра сопротивления материалов и прикладной механики ФГБОУ ВО «ПГТУ»

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Copyright (c) 2017 KUDRYAVTSEV S.G., BULDAKOVA J.M.

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