Plane Deformation of the Loaded Straight Edge of a Semi-Infinite Linearly Elastic Body Suspended on a Winkler Layer

A solution for an edge loaded, semi-infinite elastic solid on an elastic foundation is presented. This solution, arising in the development of a nonlinear atomic model for cleavage crack propagation, was obtained by the Fourier method. Example results are given for a uniform load on a finite interval and for a concentrated force, Fig. 1, in terms of the sine and cosine integral functions and their auxiliary forms.