EVALUATION OF THE COEFFICIENT OF TRANSVERSE DEFORMATION AT THE AXIAL-SYMMETRIC DEFORMATION OF CONTINUOUS MEDIUM

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Abstract

The article is devoted to the question of theoretical estimation of the value of the coefficient of transverse deformation in continuous medium under the conditions of axial-symmetric deformation. It is shown that the value of the coefficient of transverse strain essentially depends both on the mechanical characteristics of the material of the half-space, the level of development of the stress-strain state at considering point, and on the type of the mathematical model of the continuous medium (geometrically linear or geometrically nonlinear) and may exceed the limit value for linear- elastic body, equal to 0,5.

About the authors

SERGEY VASILEVICH BAKUSHEV

The Penza State University of Architecture and Construction, Penza, Russia

Author for correspondence.
Email: bakuchsv@mail.ru

BAKUSHEV SERGEY VASILEVICH is the DSc (in Technical Sciences), Professor, professor of Department of Mechanics, the Penza State University of Architecture and Construction. Scientific interests: geometrical and physic non-linear mechanics of continuous mediums

440071, г. Пенза, ул. Лядова, дом 30, кв. 84

References

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  2. Novozhilov, V.V. (1958). Theory of Elasticity. Sudpromgiz, 370 p. (in Russian)
  3. Bakushev, S.V. (2013). Geometrical and Physic Non-Linear Mechanics of Continuous Mediums: Plane Problem. Moscow: Knizhniy dom "LIBROCOM", 312 p. (in Russian).
  4. Bakushev, S.V. (1996). Some problems about Central and axisymmetric deformation of geometrically nonlinear medium. Izvestiya VUZov. Stroitel'stvo. No 8, 35—31 (in Russian)
  5. Varvak, P.M., Varvak, L.P. (1977). The Grid Method in the Analysis of the Problems of Building Structures. Moscow, Stroyizdat Publ., 154 p. (in Russian).
  6. Bakushev, S.V. (2016). To the problem of the possibility of forming cylindrical shock waves in continuous medium (Part 1). Stroitelnaya Mekhanika i Raschet Sooruzheniy, No 6, 30—35 (in Russian).

Copyright (c) 2017 BAKUSHEV S.V.

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