Static stress analysis of an infinite nonlinear-elastic solid with an elastic inclusion is performed for the case of finite plane strains. It is assumed that the inclusion consists of two layers with different mechanical properties. These layers are the intrinsic circular region and the external region which assumes the shape of a circular ring. The problem is formulated and solved in the coordinates of a non-deformed state. Approximate analytical methods are used for the solution: the perturbation technique and the Kolosov-Muskhelishvili method. Some computational results are presented.
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