This paper presents a study of the crack arrest tendency under cyclic thermal stress for an inner-surface circumferential crack in a finite-length cylinder with its edges rotation-restrained, when the inside of the cylinder is cooled from uniform temperature distribution. The effects of structural parameters and heat transfer condition on the maximum transient SIF for the problem were investigated with the formerly developed systematical evaluation methods. Then, a tentative value of threshold stress intensity range ΔKth being assumed as well as Paris law, the evaluation of crack length for crack arrest under cyclic thermal stresses was carried out. Finally, a map to find the crack arrest point for a cylinder with mean radius to wall thickness ratio Rm/W=1 and a specific length H under various heat transfer conditions could be originated. From the map, it was predicted that when the heat transfer coefficient and/or initial wall-coolant temperature differences become large enough, the nondimensional crack arrest length saturates to a specific value and is no longer affected by those conditions.

1.
Skelton
,
R. P.
, and
Nix
,
K. J.
,
1987
, “
Crack Growth Behaviour in Austenitic and Ferritic Steels During Thermal Quenching From 550 °C
,”
High Temperature Technology
,
5
, pp.
3
12
.
2.
Paris
,
P. C.
, and
Erdogan
,
F.
,
1963
, “
A Critical Analysis of Crack Propagation Laws
,”
Trans. ASME Ser. D
,
85
, pp.
528
534
.
3.
Meshii
,
T.
, and
Watanabe
,
K.
,
1998
, “
Closed Form Stress Intensity Factor for an Arbitrarily Located Inner-Surface Circumferential Crack in an Edge-Restraint Cylinder under Linear Radial Temperature Distribution
,”
Eng. Fract. Mech.
60
, pp.
519
527
.
4.
Nied
,
H. F.
, and
Erdogan
,
F.
,
1983
, “
Transient Thermal Stress Problem for a Circumferential Cracked Hollow Cylinder
,”
J. Therm. Stresses
,
6
, pp.
1
14
.
5.
Meshii
,
T.
, and
Watanabe
,
K.
,
1999
, “
Maximum Stress Intensity Factor for a Circumferential Crack in a Finite Length Thin-Walled Cylinder under Transient Radial Temperature Distribution
,”
Eng. Fract. Mech.
63
, pp.
23
38
.
6.
Meshii
,
T.
, and
Watanabe
,
K.
,
1998
, “
Stress Intensity Factor for a Circumferential Crack in a Finite Length Cylinder under Arbitrarily Distributed Stress on Crack Surface by Weight Function Method
” (in Japanese),
Trans. Jpn. Soc. Mech. Eng., Ser. A
64
, pp.
1192
1197
.
7.
Meshii
,
T.
,
Hattori
,
S.
, and
Watanabe
,
K.
,
2000
, “
Stress Intensity Factors for Inner Surface Circumferential Crack in Finite Length Cylinders
” (in Japanese),
J. Soc. Mater. Sci. Jpn.
49
, pp.
839
844
.
8.
Fung, Y. C., 1965, Foundations of Solid Mechanics, Prentice-Hall, Englewood Cliffs, NJ.
9.
JSME, 1986, JSME Data Book: Heat Transfer (in Japanese), 4th Edition, Japan Society of Mechanical Engineers, Tokyo, Japan, pp. 35–36.
10.
Taylor, D., 1989, Fatigue Thresholds, Butterworth & Co., London, UK, p. 43.
11.
Hertzberg
,
R.
,
Herman
,
W. A.
,
Clark
,
T.
, and
Jaccard
,
R.
,
1992
, “
Simulation of Short Crack and Other Low Closure Loading Conditions Utilizing Constant Kmax ΔK-Decreasing Fatigue Crack Growth Procedures
,”
ASTM Spec. Tech. Publ.
1149
, pp.
197
220
.
12.
Timoshenko, S. P., 1934, Strength of Materials, D. Van Nostrand Company, Princeton, NJ.
13.
Tada, H., Paris, P. C., and Irwin, G. R., 1973, The Stress Analysis of Cracks Handbook, Del Research Corporation, Hellertown, PA.
14.
Takahashi, J., 1991, “Research on Linear and Non-Linear Fracture Mechanics based on Energy Principle (in Japanese),” Ph.D. thesis, University of Tokyo, Tokyo, Japan.
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