NONLINEAR DEFORMATION OF A TWO-LAYER PLANE CURVILINEAR SYSTEM

Authors

N. I. Obodan, Oles Honchar Dnipro National University (72, Gagarin Ave., Dnipro, 49010, Ukraine), e-mail: kkt_fpm@ukr.net

N. A. Guk, Oles Honchar Dnipro National University (72, Gagarin Ave., Dnipro, 49010, Ukraine), e-mail: kkt_fpm@ukr.net

N. L. Kozakova, Oles Honchar Dnipro National University (72, Gagarin Ave., Dnipro, 49010, Ukraine), e-mail: kkt_fpm@ukr.net

Abstract

The article studies the nonlinear behavior of a two-layer curvilinear system loaded with a distributed surface load and perturbation in the form of a force applied to the lower layer. The task is formulated in a variation formulation. A numerical analysis of the nonlinear stress-strain state of a layer is performed, with  the state depending  on the height of the lower layer, angle of the model, friction coefficient, and relative stiffness of the layers. The possibility and features of the loss of stability of the lower layer and the entire system as a whole are established. Their relationship with the system parameters is investigated.

Keywords: plane contact problem, system stability, layer stability, layer separation, friction

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Received 25 May 2017

Published 30 September 2017