Abstract
The problem solved in this paper is an elastic infinite plane containing two arbitrarily shaped holes, each of which is symmetrical about their common axis. Uniform stress at infinity is applied on the plane, and the boundaries of the two holes are subjected to uniform surface traction. The stress solution is derived using the complex variable method. The general form of the mapping function that conformally maps the discussed region into an annulus is proposed. An infinite plane bounded by two round holes or elliptical holes is the particular case of this paper. An example of an infinite plane with two rectangles is investigated using the presented solution. The solution of the ANSYS finite element method is compared with the new solution.
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