“…Combining eqs , , and , the maximum contact pressure stress of the CrN coatings is decreased and the position of the maximum stress is simultaneously moved into the coating interface as the coating thickness increases, both of which have been identified by many researchers using the FEM simulation. ,, Also, according to the von Mises yield criterion , and combining eqs , , and , the stress (σ eq ) at any location on the depth directions ( z axis) can be expressed as follows It has been reported that ϑ for the CrN coating is 0.25. Hence, the maximum depth of contact stress is 19.35 μm under the load of 10 N, which is bigger than the thickness of CrN(5 h) coatings, but much smaller than the thickness of CrN(12 h) coatings.…”