Fundamental solution of a circular rigid punch problem for a half plane
A fundamental solution (a Green's function) of a circular rigid punch problem is derived. The punch on a half plane contacts smoothly at both ends of the contact region and a concentrated force or a point dislocation apply at an arbitrary point. Two cases where the punch is kept vertically and the punch is inclined are considered. Complex stress functions and a mapping function are used and a closed form solution is derived. Some results of stress distribution, contact length and resultant moment on the contact region are shown in figures.
circular rigid punch problem green's function point dislocation complex stress function point force