Application of the singularity function method to semi-infinite orthotropic rectangular plates on an elastic foundation

The singularity function method is applied to solve the structural problems of semi-infinite orthotropic rectangular plates on a Winker-type elastic foundation. Previous application by Selek et al. (Int. J. Mech. Sci., 25 (1983) 397) of the singularity function to plates on an elastic foundation was limited only to isotropic cases. Foundation-free orthotropic plate problems have been previously solved Adewale et al. (Int. J. Mech. Sci., 31 (1989) 853). In this paper, the singularity function method technique is extended to orthotropic rectangular plate on Winkler-type foundation. The isotropic rectangular plate results of Selek et al. (Int. J. Mech. Sci., 25 (1983) 397) and the foundation-free orthotropic rectangular plate results provided by Adewale et al. (Int. J. Mech. Sci., 31 (1989) 853) are recovered as special cases.