• Proceedings of the KSME Conference
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• 2000.04a
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• pp.170-175
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• 2000

Bimaterial containing an in-plane or an out-of-plane singularity embedded in the inclusion or in the unbounded matrix is first analyzed by using analytic continuation. Next, the series forms of solutions for the trimaterial with two concentric circular inclusions having an identical singularity are found based on an alternating technique using the solution for the bimaterial case. The sum of the first three or four terms of solutions derived provides an excellent approximation for most of material combinations. By applying continuous distributions of dislocations, the trimaterial solution obtained in this study may be used to solve crack problems in the same material.