Abstract
The paper is devoted to the mathematical study of elastic states and deformations of multilayer road surfaces under the force of water. The filtration coefficient in the multilayer strip is piecewise constant. Young’s modulus and Poisson’s ratio are given in each band. The problem is reduced to a planar boundary value problem for a system of partial differential equations. A method of constructing solutions to this problem in the form of almost-periodic Bohr functions is investigated. A computational experiment was carried out. Graphs of the required mechanical parameters are constructed, their convergence to the boundary values is shown. The Maple software package was used to build the solutions. The constructed algorithm can be used in solving problems in continuum mechanics.
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