Micromechanical analysis of unidirectional polymeric composites material with triangular fibers

Abstract

The purpose of this study is to investigate the mechanism of load transfer in unidirectional polymeric composites material with triangular fibers in the presence of broken fibers. It is assumed that all fibers with triangle-cross section lie in a same direction while loaded by a load at infinity. In previous studies, the behavior of polymeric matrix is assumed elastic, while the behavior of most polymeric matrix is elastic-perfect plastic. For this purpose, equilibrium equations by use of shear-lag theory have been derived and by proper using boundary and boundness conditions, displacement field and stress distribution were computed. Finally, the results of stress concentrations and di shear stress, at neighbor of broken fibers for carbon-epoxy composite material were extracted and compared with composite materials with circular fibers. The analytical results are compared to the detailed finite element values. A close match is observed between the two methods.