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TECHNICAL PAPERS

Analytical Approach to Crack Arrest Tendency Under Cyclic Thermal Stress for an Inner-Surface Circumferential Crack in a Finite-Length Cylinder

[+] Author and Article Information
Toshiyuki Meshii

Fukui University, Department of Mechanical Engineering, Fukui 910-8507, Japan   e-mail: meshii@mech.fukui-u.ac.jp

Katsuhiko Watanabe

University of Tokyo, 1st Division, Institute of Industrial Science, Tokyo 153-8505, Japane-mail: kwata@iis.u-tokyo.ac.jp

J. Pressure Vessel Technol 123(2), 220-225 (Oct 31, 2000) (6 pages) doi:10.1115/1.1358840 History: Received September 28, 2000; Revised October 31, 2000
Copyright © 2001 by ASME
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References

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.
Paris,  P. C., and Erdogan,  F., 1963, “A Critical Analysis of Crack Propagation Laws,” Trans. ASME Ser. D, 85, pp. 528–534.
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.
Nied,  H. F., and Erdogan,  F., 1983, “Transient Thermal Stress Problem for a Circumferential Cracked Hollow Cylinder,” J. Therm. Stresses, 6, pp. 1–14.
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.
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.
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.
Fung, Y. C., 1965, Foundations of Solid Mechanics, Prentice-Hall, Englewood Cliffs, NJ.
JSME, 1986, JSME Data Book: Heat Transfer (in Japanese), 4th Edition, Japan Society of Mechanical Engineers, Tokyo, Japan, pp. 35–36.
Taylor, D., 1989, Fatigue Thresholds, Butterworth & Co., London, UK, p. 43.
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.
Timoshenko, S. P., 1934, Strength of Materials, D. Van Nostrand Company, Princeton, NJ.
Tada, H., Paris, P. C., and Irwin, G. R., 1973, The Stress Analysis of Cracks Handbook, Del Research Corporation, Hellertown, PA.
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.

Figures

Grahic Jump Location
Circumferentially cracked cylinder under arbitrary radial temperature distribution
Grahic Jump Location
Effect of Rm/W on maximum transient SIF (H=π/β,ν=0.3, h=∞kW/(m2⋅K), Λ=12.7 W/(m⋅K), and κ=3.61 mm2/s)
Grahic Jump Location
Effect of cylinder length on maximum transient SIF (ν=0.3, h=∞ kW/(m2⋅K), Λ=12.7 W/(m⋅K), and κ=3.61 mm2/s)
Grahic Jump Location
Effect of heat transfer coefficient h on maximum transient SIF (Rm/W=1,H=π/β=24.4 mm, ν=0.3, Λ=12.7 W/(m⋅K), and κ=3.61 mm2/s)
Grahic Jump Location
Crack arrest length (Rm/W=1, H=π/β=24.4 mm, W=10 mm, E=198 GPa, α=16×10−6 1/K, ν=0.3, Λ=12.7 W/(m⋅K), κ=3.61 mm2/s,ΔKth=3 MPam1/2)
Grahic Jump Location
Crack arrest length (Rm/W=1,H=π/β=24.4 mm, ν=0.3, Λ=12.7 W/(m⋅K), and κ=3.61 mm2/s, ΔKth=3 MPam1/2)
Grahic Jump Location
Effect of SIF error (±10 percent) on crack arrest length (Rm/W=1,H=π/β=24.4 mm, ν=0.3, Λ=12.7 W/(m⋅K), and κ=3.61 mm2/s,ΔKth=3 MPam1/2,h=∞kW/(m2⋅K))
Grahic Jump Location
Replacement of axisymmetric bending problem of a cylinder by a beam on an elastic foundation

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