Abstract
This paper presents a complete R-curve analysis for a single surface crack and an array of equally spaced parallel surface cracks in transformation toughened ceramics (TTC). The problem is reduced to the solution of a pair of singular integral equations in which the dislocation density function and the transformation zone boundary are the unknown functions. The form of the equations does not depend on the number of surface cracks being studied; only the weight functions are different. The singularities of the weight functions and of the dislocation density functions at the crack tip and at the intersection of the crack by the transformation zone wake are analytically isolated for accurate numerical integration of the integral equations.
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