A finite, element method for calculating the effect of lubricating of trapped in cracks was presented. The specimen with a crack was divided by the elastic elements and the lubricating oil was divided by the viscous elements. The behavior of the lubricating oil under compressive stress was calculated The lubricating oil is trapped in the crack and moves to the crack tip. The crack opens near the tip and hence the stress intensity factor increases. These results agree with the results calculated by the method presented in the former paper. In the case of a three-dimensional through crack, the lubricating oil is not trapped completely and flows from the sides of the specimen.