Stress distribution caused by anti-phase periodical curving of two neighbouring fibers in a composite material

Abstract

Abstract In the present paper the stress distribution in an infinite elastic body containing two neighbouring fibers is studied. It is assumed that these fibers are located along two parallel lines and each of them has a periodical curving with the same period. Moreover, it is assumed that the curving of each fiber is out of phase with the other. At infinity uniformly distributed normal forces act in the direction of the fibers , location. The investigations are carried out in the framework of the piecewise homogeneous body model with the use of the exact three-dimensional linear theory of elasticity. The normal and shear self-equilibrated stresses arising as a result of the fiber curving are analysed. In particular, the influence of the interaction between the fibers on the distribution of these stresses is studied. A lot of numerical results related to this interaction are presented.