Abstract
This paper deals with numerical solutions of singular integral equations in the problem of an elastic cylindrical inclusion with ends in an infinite body under tension. The problem is formulated as a system of singular integral equations with Cauchy type or logarithmic type singularities, where unknown functions are densities of body forces distributed in infinite bodies having the same elastic constants as those of the matrix and inclusion. In the numerical analysis, the unknown functions of the body force densities are expressed as a linear combination of two types of fundamental density functions and power series, where the fundamental density functions are chosen to express the symmetric stress singularity of the form 1/r1-λ1 and the skew-symmetrics stress singularity of the form 1/r1-λ2. Then, the singular stress fields at one end of a cylindrical inclusion are discussed for various fiber lengths and elastic ratios. The results are also compared with ones for a rectangular inclusion.
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