The effect of a holnomeneous cvlindrical inlay Oll cracks in the doubly-periodic complete. 1ane strain (CPS)problenl is investigated in this paper By employing the solutions of doubly quasi-periodic and doubly-l：eriodic Rielllann boundary value problelllS for analytic thnctions we obtain the general solution in closed f01T11 And apl：rroximate analytical expression of the stress intensity factors which are identical with the known results are obtained when there are no holes or gaskets in the periodic parallelogram and e3=0，Fk=0，Tk=0，k-1,2 with constantload al：r01ied atthe edges ofthe crack