Stress state in laminar composite material with partial distortion in structure

Abstract

In [3, 4], an effective method was developed for investigating the stress-strain state of laminar and fibrous composite materials with distorted structures; the method is developed for the model of a piecewise-homogeneous medium using three-dimensional elasticitytheory equations. This method was used in [i, 2] and elsewhere to investigate a series of problems on the stress-strain state in laminar composite materials with distorted structures. It was assumed in these studies that all the layers of the composite were distorted. This is confirmed by direct observation of the cross sections of various composite materials. Note that cases in which not all the layers are distorted are often encountered in the course of the observations [13]. Some of these layers may be regarded as ideal, i.e., undistorted, with respect to the other distorted layers, at an acceptable level of accuracy. The investigation of various strength problems in composite material with partial structural distortion entails the study of the distribution of self-equilibrating stress in such composites using the methods of [3, 4]. Note that this was done in [5, 6] for laminar composites with an infinite number of alternating undistorted and synphase (antiphase) periodically distorted layers under the action of uniformly distributed normal forces "at infinity" in the direction of stacking of the layers. In the present work, the stress state in a composite material with one periodically distorted filler layer is considered, and a method of solving the problem of the stress-strain state in laminar composites with partial distortion in the structure is developed.