Nonlinear deformation of a two-layered planar curvilinear system
Keywords:
contact problem, system’s stability, layer’s stability, layer’s separation, frictionAbstract
Nonlinear behavior of a two-layer curved system is investigated. The system of layers is exposed distributed load on surface and disturbances force. The force is applied to the lower layer. At the boundary where the layers are separated, in the contact zone, boundary conditions corresponding to the clutch area slipping and separation are possible. The method of solution is based on the variation formulation of the boundary value problem using characteristic functions. For the solving of the problem the finite element approximation is used. Numerical analysis of non-linear stress-strain state and stability of the upper layer depending on the height of the bottom layer, the angle model, the coefficient of friction and the relative stiffness of the layers, was produced. Analysis of the behavior of a two-layer system showed that at a certain ratio of the thickness of the layers and the values of the existing load, the deformation in the presence of slip, contact, and separation zones is possible. Moreover, the existence of this behavior depends on the system parameters and can be found in series calculations with load change from zero to the final value. Possibility and characteristics the loss of stability of the layer and the entire system have been found, their relationship with parameters of the system are investigated.References
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