We consider a steady state thermal stress problem of a long hollow cylinder under thermal striping in this paper. The outer surface of the cylinder was adiabatically insulated, and the inner surface was heated axisymmetrically by a fluid with sinusoidal temperature fluctuations, whose temperature amplitude (ΔT) and angular velocity (ω) were constant. The heat transfer coefficient h was also assumed to be constant. The stress intensity factor (SIF) due to the thermal stress for a given cylinder configuration varies not only with these three parameters ΔT, ω and h, but also with time. It is in fact possible to calculate the transient SIF for a specific combination of cylinder configuration and the three parameters numerically. However, for a given cylinder configuration, we think it is of practical importance to know the maximum SIF for all possible combinations of ΔT, ω and h. This maximum SIF evaluation is time consuming. Thus in this paper, we present this maximum transient SIF for four type surface cracks inside a hollow cylinder for all possible combinations of ΔT, ω and h. Thin to thick-walled cylinders in the range of mean radius to wall thickness parameter rm/W = 10.5 ∼ 1 were considered. Crack configurations considered were 360 deg continuous circumferential, radial, semi-elliptical in circumferential and radial direction. Normalized crack depth for all cases was in the range of a/W = 0.1 ∼ 0.5. In case of semi-elliptical crack, the normalized crack length a/c was all in the range of 0.063 ∼ 1.

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