Abstract
A model of the stress-strain state of a unidirectional fiber composite is proposed. A cylindrical sample of an elastic material whose fibers are cylindrical inclusions is considered. The generatrix of inclusions is parallel to the axis of the sample. The distribution of fibers in the sample is modeled with sixteen inclusions forming a tetragonal structure. It is assumed that the sample is subjected to a piecewise constant normal load and the fibers are in a perfect contact with the matrix. The boundary conditions of the problem are satisfied exactly with the help of the generalized Fourier method. The problem is reduced to an infinite system of linear algebraic equations, which is solved numerically by the method of reduction. An analysis of stress distribution in the areas of their highest concentration is given.
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