Identification of the additional exposure zone for ensuring a complete contact of the two-layered system

Authors

DOI:

https://doi.org/10.15587/1729-4061.2017.109674

Keywords:

plane contact problem, one-way communication, identification of exposure, inverse problem method

Abstract

The problem of identification of the magnitude and zone of exposure on the upper layer of the two-layered structure under the action of a normally distributed load and its own weight for ensuring a complete contact is solved. To solve a direct problem, we use a variational formulation for the corresponding nonlinear boundary value problem with constraints. The possibility of applying the inverse problem method implemented with the recession vector method is investigated. A numerical analysis of the convergence of the model deformation elimination process depending on mechanical and geometric parameters of the system is made. It is found that the pressing zone is separated from the loading zone, the parameters of the zone being dependent on the properties of the layers, the height of the upper layer, the loading magnitude and the value of the coefficient of friction. As a result of the research, an algorithm that allows determining the state of the contact zone and the corresponding stress-strain state of the two-layered system under consideration was developed. The algorithm uses the finite element method and determines the values of characteristic functions on the basis of the values of variational inequalities. The effect of physical and geometric properties of the system on the parameters of the additional impact, ensuring the absence of a separation zone is investigated. It is shown that the account of friction small influences on the parameters of influence, a large role is rendered by geometrical parameters and level of basic ladening.

The developed algorithms and conducted research will allow increasing the design reliability of airfield pavements, layered structures of industrial buildings, hydraulic structures, foundations of massive structures, wells in rocks, as well as machine parts

Author Biographies

Natalya Obodan, Oles Honchar Dnipro National University Haharina str., 72, Dnipro, Ukraine, 49010

Doctor of Technical Sciences, Professor

Department of Computational Mathematics and Mathematical Cybernetics

Natalya Guk, Oles Honchar Dnipro National University Haharina str., 72, Dnipro, Ukraine, 49010

Doctor of Physical and Mathematical Sciences, Professor, Head of Department 

Department of Computer Science

Natalya Kozakova, Oles Honchar Dnipro National University Haharina str., 72, Dnipro, Ukraine, 49010

Senior Lecturer

Department of Computational Mathematics and Mathematical Cybernetics

References

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Published

2017-10-24

How to Cite

Obodan, N., Guk, N., & Kozakova, N. (2017). Identification of the additional exposure zone for ensuring a complete contact of the two-layered system. Eastern-European Journal of Enterprise Technologies, 5(7 (89), 23–29. https://doi.org/10.15587/1729-4061.2017.109674

Issue

Vol. 5 No. 7 (89) (2017): Applied mechanics

Section

Applied mechanics

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Copyright (c) 2017 Natalya Obodan, Natalya Guk, Natalya Kozakova

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