Bond Stresses in Fiber Reinforced Composites Subjected to Uniform Tension

Abstract

Theoretical elasticity solutions are presented for determining the bond stresses between the fibers and matrix of reinforced com posites. The effects of fiber dimensions, spacing and Poisson's ratio are all studied in problems of plane stress. The first problem con sidered is a column of rigid, one-dimensional fibers equally spaced in an infinite, elastic sheet subjected to a uniform stress field parallel to the fibers. The bond stresses are calculated by Fourier integral and modified point-matching techniques. The effects on the bond stresses of varying the length/spacing ratio and Poisson's ratio for the matrix are investigated. The second problem investi gated is that of an elastic sheet containing regularly distributed rows and columns of rigid, one-dimensional fibers. The elastic sheet is again subjected to a uniform tension. Fourier series and modified point-matching techniques are used in this analysis. The effects on the bond stresses of varying the horizontal and vertical spacing are again investigated.