Abstract:
The paper considers a plane isotropic contact problem of interaction between an elastic body and a piecewise homogeneous elastic structure lying on a Winkler foundation. The piecewise homogeneous structure is a combination of an elastic rectangle whose lower boundary rests without friction on a number of identical elastic rectangles of a smaller size lying on the Winkler foundation. The rectangles are located at the same distance from each other. It is assumed that the stamp base has the shape of a circle, and there is no friction in the contact zones. The finite element method is used to solve contact problems. The contact stresses in the interaction areas of the elastic bodies of the structure and the relative deformation of the entire structure are studied. A comparative analysis of the studied quantities is carried out for different values of the parameters of the piecewise homogeneous structure, with varying of the coefficient of subgrade resistance and load value. The numerical results are presented in the form of tables. The results of the research can be used in calculating of the interaction of wheels and railway rails supported by sleepers lying on soil foundations of various types.
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