An Approximate Study on Elastic Problem reducd by the Indentation of the Plane Surface of a Large Plate on Rigid Medium by a Rigid Flat-ended Cylinder (The continued report)

Abstract

In the previous paper, the author proved that approximate solution of elastic problem reduced by indentation of free surface of elastic boby on a rigid medium by a rigid flat-ended cylinder was given by suitably using a solution in the problem of semi-infinite solid, and it held for case in which thickness of elastic body on rigid medium was not so thin. In other words, if the thickness is not so thin, then solution is approximately equal to the result of problem of semi-infinite solid. However, it cannot hold when thickness is so thin. The present paper is to find that solution for the case when elastic body on a rigid medium is relatively thin, with the aid of the previous paper and experimental results as well. In the particular case when thickness is infinite, the results reduce to the semi-infinite solid problem.