The plane-strain problem of a smooth, flat rigid indenter contacting a layered elastic half space is examined. It is mathematically formulated using integral transforms to derive a singular integral equation for the contact pressure, which is solved by expansion in orthogonal polynomials. The solution predicts complete contact between the indenter and the surface of the layered half space only for a restricted range of the material and geometrical parameters. Outside of this range, solutions exist with two or three contact regions. The parameter space divisions between the one, two or three contact region solutions depend on the material and geometrical parameters and they are found for both the one and two layer cases.
|Original language||English (US)|
|Number of pages||12|
|Journal||Journal of Applied Mechanics, Transactions ASME|
|State||Published - Jun 1989|
|Event||Joint ASCE/ASME Applied Mechanics, Biomechanics, and Fluids Engineering Conference - San Diego, CA, USA|
Duration: Jul 9 1989 → Jul 12 1989