A pothole in a pavement is filled with some new material subjected to vehicle tra!c. The aim of this exercise is to analyze stresses and
strength compatibility of this repair solution. To this end, we model the pothole as a cube of same side O (see figure below). The surrounding pavement
(old material) is so old that it can be considered as rigid compared to the
new material filling the cubic pothole. The load to which the pot hole is subjected is the tire pressure s. We neglect body forces (i.e. deadweight), and all
surfaces between the new material in the pothole and the rigid material surrounding it, are frictionless. The entire problem will be solved in a Cartesian
coordinate system.