Abstract
In this paper, the elastic field in an infinite elastic body containing a polygonal inclusion with uniform eigenstrains is investigated. Exact solutions are obtained for the stress field inside and outside a fully general polygon, i.e., an arbitrary bounded region of two-dimensional space with a piecewise linear boundary. Numerical examples are presented for the stress field inside and outside a regular polygonal inclusion. Then the special properties of strain field in a regular polygonal inclusion reported in the previous paper (H. Nozaki and M. Taya, ASME J. Appl. Mech., 64 (1997), 495-502) are discussed in detail. Finally, scattering cross sections of a regular polygonal inhomogeneity and static average stress inside a regular polygonal inhomogeneity are calculated by BEM and these values are found to have a similar property with the strain field in a regular polygonal inclusion.
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