Indentation depth for sphere/limited elastic half-space

Hello,

 My problem is the following:

In clasical Hertz theory I was able to locate indentation depth for the case of sphere/elastic half space, which I will denote as d0. I am interested if there is a relatively simple solution for obtaining indentation depth (d1) if this half-space is limited, that is a sphere in contact with either of these three cases:

1. Semi-infinite cylinder of diameter W (sphere is in contact with the upper cylinder side)

2. Semi-infinite prism of side W (sphere is in contact with the upper prism side)