Analytical modeling of fibrous composites with free edges

Abstract

A novel asymptotic approach to the problem of laminated fibrous composites with free edges is proposed in this article. Commonly, this type of composites is modeled on the assumption of homogenized individual plies. In the presence of free edges, the elastic fields in the individual plies need additional investigation. Our approach is based on the asymptotic splitting of the governing biharmonic problem into two harmonic problems. All solutions are obtained in the closed analytical form. In particular, the obtained results can be used in the analysis of fracture of composite materials as well as for the analytical modeling of the pull-out and push-out tests.