The research on tribology and wear of the metals and composites has always been the topic of interest to understand the behavior and life of them. The wear of the materials with three-body contact has been of particular interest because the wear debris generated due to the wear and tear between the contact surfaces in constant motion will aggravate the wear rate of the contact surfaces. Hence it would be interesting to understand the stress distribution inside the materials with three-body contact. The current research presents the stress distribution within the materials which are in three-body contact modeling them as plain-strain problems with three different models viz., point force model, uniform pressure model and Hertzian Pressure model. The stress distribution of all the three cases are numerically computed and compared and the stress intensity factor is calculated in each case.