Abstract
A semi-infinite shear fracture initiated from notch roots and the other stress concentrators in unidirectional fiber-reinforced composites is considered on the basis of the two-dimensional theory of orthotropic elasticity. By use of the Wiener-Hopf technique, simultaneous Wiener-Hopf equations are derived for the semi-infinite shear fracture in an infinite strip of the composites under tensile loading at infinity. The stress intensity factors at the tip of the shear fracture are obtained through asymptotic properties of the equations with the aid of some numerical computations. As a consequence, it is revealed that the considerably large stress intensity factor for the opening mode appears in addition to the stress intensity factor for the in-plane-shear mode. Furthermore, when the results for the stress intensity factors is compared with one obtained by the well-known method of energy balance, it is found that the results do not coincide and the latter is inappropriate to estimate the stress intensity factors.
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