Author(s)

J.R. Dydo & H.R. Busby

Abstract

Complete 3-D elasticity solutions in the half-space for constant and linearly varying pressure loads J.R. Dydo, H.R. Busby The Ohio State University, Columbus, Ohio ABSTRACT The 3-D elasticity solutions for the infinite half-space under point loading conditions form the basis of many currently used algorithms for contact stress analysis. Using standard techniques, the point solution, i.e. Green's functions, can be integrated over various contact areas and various loading profiles. For a rectangular contact area, the subsurface solutions for constant and linearly varying pressure loads had been unavailable because of the difficulty in obtaining the closed form integrals. This paper presents the complete solutions to the integrals for constant and linearly varying loads in both the normal and tangential directions. INTRODUCTION Love [1], [2] has given the solutions for contact in the elastic half-space for an arbitrary pressure profile in integral form. Johnson [3]

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