Effect of friction and cavity depth on the elastic indentation of a cylindrical rod

Using finite element analysis, the elastic displacement of a rigid cylindrical rod pushed by an axial load into an existing cavity of the same diameter as the rod located in the surface of a half space was studied. It was found that such displacement is proportional to the applied load and decreases with increasing depth of the cavity. It is the largest for the slip condition over all the contact surfaces and the smallest for the stick condition over the same surfaces. Also for the same load, the maximum von Mises stress under the punch decreases with increasing depth of the cavity. If not glued to the punch, both the bottom and the lateral surfaces of the cavity are in contact with the punch during deformation.