Stress Concentration in Filamentary Composites with Broken Fibers.
PRINCETON UNIV N J DEPT OF AEROSPACE AND MECHANICAL SCIENCES
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By means of a dual integral equation technique, the stress distribution is determined in a filamentary composite with some broken fibers in various geometrical configurations. The formulation is made by assuming that fibers carry the tensile load and the matrix the transverse normal load and the shear. The ensuing difference- differential equations are solved for various cases of broken fibers modelling one or two colinear cracks when the composite is subjected to a uniform tensile load along the fibers at infinity. The stress concentration is found to be finite and increases without bound with the number of broken fibers. When m fibers are broken, the stress concentration is found to be greater than the square root of m for m equals 1,2. It is almost equal to the square root of m for m equals 3 to 8, and lower than square root of m when m is greater than 9. Author-PL
- Laminates and Composite Materials