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Stress analysis is carried out in an orthotropic strip containing a Volterra-type screw dislocation. The distributed dislocation technique is employed to obtain integral equations for a strip weakened by cracks and cavities under antiplane traction. These equations are of Cauchy singular kind, which are solved numerically by generalizing a numerical method available in the literature. Several examples are solved to demonstrate the validity and applicability of the procedure.

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The basic chain-of-bundles probability model is modified so that any unidirectional intraply hybrid composite consisting of two types of fibers can be modeled. The method of analysis is the Monte Carlo simulation technique which allows for many dif ferent types of hybrids to be analyzed. The effect of the volume ratio of the consti tuents and the degree of dispersion of the types of fibers is considered. The existence of the "hybrid effect" for strain is shown along with its sensitivity to volume ratio and dispersion. The Weibull distribution function is shown to be a good representation for the hybrid breaking strain.

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The stress fields are obtained for a functionally graded strip containing a Volterra screw dislocation. The elastic shear modulus of the medium is considered to vary exponentially. The stress components exhibit Cauchy as well as logarithmic singularities at the dislocation location. The dislocation solution is utilized to formulate integral equations for the strip weakened by multiple smooth cracks under anti-plane deformation. Several examples are solved and stress intensity factors are obtained.

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