Strain concentration factors for fibers and matrix in unidirectional composites

Stress concentrations near a fiber break in unidirectional composites with interfacial slip and matrix yielding

“…Let us ignore the axial normal stress in matrix in conformity with the standard shear lag concept, though it was taken into account by Ochiai et al (1991) and . This allows us to assume that the opposed surfaces of the ith and i þ 1th nearest-neighbor fibers, which have been regarded as the hexagonal bars, have the same magnitude of shear stress, which will be denoted as s i=iþ1 .…”

Fibre Break Failure Processes in Unidirectional Composites. Part 1: Failure and Critical Damage State Induced by Increasing Tensile Loading

“…The following, non exclusive studies, should be cited: Rosen [48], Cox [21], Zweben [67], Hedgepeth [30], Ochiai et al [42], Curtin [22,23], Curtin and Ibnabdeljalil [24], Goree and Gross [27], Harlow and Phoenix [28,29], Scop and Argon [49,50], Kong [34], Batdorf [4,5], Nedele and Wisnom [40,41], Hedgepeth and Van Dyke [31], Baxevanakis [6], Landis et al [36,37], Phoenix et al [39,[44][45][46], Wisnom [64], Van Den Heuvel et al [62,63], Lipschitz and Rotem [38], Lagoudas et al [35], Beyerlein et al [8].…”

The control of the residual lifetimes of carbon fibre-reinforced composite pressure vessels

“…Zweben showed that the failure of a fibre embedded in a matrix resulted in the closest intact fibres neighbouring the break being overloaded, whilst intact fibres, even in the same plane as the break but removed at two or three fibre distances, were unaffected by the breaks. The effect of stress concentrations around fibre breaks was further examined by Hedgepeth (1961) and others (Ochiai, Schulte, & Peters, 1991;Goree & Gross, 1980). A number of authors recognised that the stochastic nature of fibre strength and the effect of individual fibre beaks on intact neighbouring fibres would significantly affect the failure of unidirectional composites (Batdorf, 1982;Berger & Jeulin, 2003;Harlow & Phoenix, 1978, 1981Kong, 1979;Scop & Argon, 1969).…”