An infinite isotropic sheet contains a perfectly bonded, rigid inclusion of radius a and is under uniform

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An infinite isotropic sheet contains a perfectly bonded, rigid inclusion of radius a and is under uniform tension T in the x-direction as shown. Show that this problem is solved by the following potentials:

T (2) -(-).. = = (2) f (+-)

Note that because of the problem symmetry, the inclusion will not move. In solving this problem, you should verify boundary conditions on r = a and at r→∞, and the appropriateness of the potential forms as per Section 10.4.

X Inclusion

Data from section 10.4

It has been shown that the solution to plane elasticity problems involves determination of two complex

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