Through a shrink-fit process, a rigid solid cylinder of radius r 1 + is to be inserted

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Through a shrink-fit process, a rigid solid cylinder of radius r1 +δ is to be inserted into the hollow cylinder of inner radius rand outer radius r2 (as shown in the following figure). This process creates a displacement boundary condition ur(r1) = δ. The outer surface of the hollow cylinder is to remain stress free. Assuming plane strain conditions, determine the resulting stress field within the cylinder (r1< r< r2).

2  Ur=8

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