R. Kosker

On a stress analysis in the infinite elastic body with two neighbouring curved fibres

In this paper, we attempt to develop a method for the stress analyses in an infinite elastic body containing two neighbouring fibres which are located along two parallel lines, each of them having a periodical curving which is of opposite phase according to the other. The stress distribution is studied when the body is loaded at infinity by uniformly distributed normal forces with intensity p acting in the direction of fibres. The investigation is carried out in the framework of the piecewise homogeneous body model with the use of the three-dimensional geometrically non-linear exact equations of the theory of elasticity. Consequently, in the present investigation the effect of the geometrical non-linearity on the considered stress distribution is also taken into account. The numerous numerical results related to the considered stress distribution and to the influence of the problem parameters on this distribution are given.

Influence of the Interaction Between Fibers Periodically Located in a Composite Material on the Distribution of Stresses in It

Within the framework of a piecewise homogeneous body model, with the use of exact equations of the threedimensional geometrically nonlinear elasticity theory, the stress distributions in a unidirectional fibrous composite containing a row of periodically curved fibers is investigated. The midlines of the fibers are located in different parallel planes, and the curvatures of these lines are periodic and cophasal. The body is loaded at infinity by uniformly distributed normal forces in the direction of fiber location, and the stress distribution in it is investigated. The self-balanced normal and shear stresses arising as a result of fiber curvature are analyzed, and the effects of interaction between the fibers and of geometrical nonlinearity on their distribution are studied. The corresponding numerical results are presented and discussed.