Stress Analysis of a Rigid Block Embedded in an Elastic Half Space.
AIR FORCE INST OF TECH WRIGHT-PATTERSON AFB OHIO
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This dissertation investigates the plane elasticity problem of a finite, rigid rectangular block partially embedded in, and perfectly bonded to an elastic half space. The bond thickness is assumed to be sufficiently thin, so that there is no discontinuity in the displacements of the bonded surfaces. The problem is formulated by superposition of the solutions to the problems of horizontal and vertical line inclusions beneath an elastic half space, which are derived from integral transform techniques. Substitution of these results into the boundary conditions appropriate for the embedded block problem leads to a system of six coupled singular integral equations, whose unknowns are the normal and shear stress discontinuities between the bonded surfaces.