Abstract:Analytical solutions are given for the stress fields, in both compression and far-field shear, in a twodimensional elastic body containing two interacting non-circular pores. The two complex potentials governing the solutions are found by using a conformal mapping from a pre-image annulus with those potentials expressed in terms of the SchottkyKlein prime function for the annulus. Solutions for a three-parameter family of elastic bodies with two equal symmetric pores are presented and the compressibility of a … Show more
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