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STRESS DISTRIBUTION CAUSED BY OUT OF PLANE CO-PHASE PERIODICAL CURVING OF TWO NEIGHBORING FIBERS IN A COMPOSITE MATERIAL

In the present paper within the framework of the piecewise homogeneous body model with the use of the exact equations of the three-dimensional equations of the theory of elasticity for anisotropic body, the method proposed in references has been developed for the cophase periodical curving out of plane of two neighboring fibers in an infinite elastic body . It is assumed that these fibers are located along two parallel planes and each of them has a periodical curving. Moreover, it is assumed that the curving of each fiber is co-phase with the other. At infinity, uniformly distributed normal forces act in the direction of the fibers’ location. The numerical investigations have been made for the case where the materials of the fibers and matrix are both isotropic and homogeneous. The normal and shear self-balanced stresses arising as a result of the fiber curving are analyzed. In particular, the influence of the interaction between the fibers on the distribution of these stresses is studied.