Stress analysis of two kinds of dissimilar isotropic sectors

Anti-plane stress analysis of two different kinds of dissimilar sectors has been accomplished in our study. The first kind of dissimilar sectors consists of two isotropic sectors perfectly attached to each other along their circular edges. In the second kind, these isotropic sectors are joined perfectly in the radial interface. Solutions to the differential equations governing the dissimilar sector are found by utilizing finite Fourier cosine transform as well as the technique of the separation of variables. The closed-form solutions are obtained for the displacement and stress fields in each sector. Also the geometric and force singularities of the stress fields are studied and compared with those in the past research. In the special case, i.e. finite wedges, the results for the stress fields are in complete agreement with those in the literature.