Abstract
In the conventional boundary element technique, all the boundaries of the body including those of inclusions must be discretized even when the inclusions are comparatively small. Therefore the size of the coefficient matrix of the resulting system of linear algebraic equations becomes quite large for a problem with many small inclusions. The authors have previously proposed an approach to circumvent the discretization of the boundaries of small inclusions for two-dimensional potential problems. In that approach the distribution of the potential over circular inclusions is approximated with a simple harmonic function with a small number of freedoms. In the present paper, this approach is extended to the small circular inclusions in two-dimensional elastostatic fields. The effectiveness of the present formulation is illustrated in several numerical examples.
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