Plane-Strain State in Periodically Curved Composites

Abstract

It is evident that any continuum approach is an approximate one and the most accurate information on the stress distribution in the curved composites can be obtained only in the framework of the piecewise-homogeneous body model with the use of the exact equations of deformable solid body mechanics. Therefore, from now on, we begin study the problems of curved composites in the framework of the piecewise homogeneous body model. In this chapter we consider plane strain problems of periodically plane-curved composites. First, the method for investigation of the stress distribution in these composites is presented. Then this method is developed for cases in which the materials of the layers are: l)viscoelastic; 2)rectilinearly anisotropic; 3) curvilinearly anisotropic. Many numerical results and their analyses are given for stress distributions in such composites.