Field of residual stresses in a coating with crack

We consider an object with coating deposited on its plane surface. The coating is subjected to the action of known uniform uniaxial tensile residual stresses. We analyze the field of residual stresses formed in the coating as a result of the formation of a long flat crack perpendicular both to the direction of action of tensile stresses and to the surface of the coating. The problem is studied in the two-dimensional statement. The stress field is investigated in the sections perpendicular both to the crack plane and to the surface of the coating. Two cases are analyzed, namely, the case of a through crack (through the entire thickness of the coating) and the case of a nonthrough crack with plastic zone on its continuation. The performed numerical analysis enables us to estimate the possibility of subsequent fracture of the coating after crack initiation. __________ Translated from Fizyko-Khimichna Mekhanika Materialiv, Vol. 42, No. 2, pp. 80–88, March–April, 2006.