Thermally induced elastic fracture around a localized energy source on a pressurized cylindrical vessel is studied in this work. Analytical solutions are obtained via the method of dual integral transform, with emphasis on the identification of the dominating parameters in thermal cracking. Directions for crack extension from the heat source are examined by the stress and strain-energy-based criteria, including the effects of internal pressure and axial stress. Special features include the intrinsic transition between the thermally driven and the mechanically driven fracture patterns. The physical parameters governing such transition are determined.

1.
Abramowitz, M., and Stegun, I. A., 1965, Handbook of Mathematical Functions, Dover, New York, NY.
2.
Anderson, R. B., and Sullivan, T. L., 1966, “Fracture Mechanics of Through-Cracked Cylindrical Pressure Vessels,” NACA Technical Report, TN D-3252.
3.
Arfken, G., 1970, Mathematical Methods for Physicists, Academic Press, New York, NY.
4.
Boley, B. A., and Weiner, J. H., 1960, Theory of Thermal Stresses, Wiley, New York, NY.
5.
Carnahan, B., Luther, H. A., and Wilkes, J. O., 1969, Applied Numerical Methods, Wiley, New York, NY.
6.
Carslaw, H. S., and Jaeger, J. C., 1959, Conduction of Heat in Solids, 2nd Edition, Oxford University Press, Oxford, U.K.
7.
Crichlow, W. J., and Wells, R. H., 1967, “Crack Propagation and Residual Static Strength of Fatigue-Cracked Titanium and Steel Cylinders,” ASTM STP No. 415, p. 25.
8.
Duffy, A. R., 1965, “Studies of Hydrostatic Test Levels and Defect Behavior,” Symposium on Line Pipe Research, American Gas Association, New York, NY.
9.
Erdogan
 
F.
, and
Sih
 
G. C.
,
1963
, “
On the Crack Extension in Plates Under Plane Loading and Transverse Shear
,”
ASME Journal of Basic Engineering
, Vol.
85
, pp.
519
527
.
10.
Folias
 
E. S.
,
1965
, “
An Axial Crack in a Pressurized Cylindrical Shell
,”
International Journal of Fracture Mechanics
, Vol.
1
, pp.
104
113
.
11.
Getz, D. L., Pierce, W. S., and Calvert, H., 1964, Correlation of Uniaxial Notch Tensile Data With Pressure-Vessel Fracture Characteristics, ASME Press, New York, NY.
12.
Goodier
 
J. N.
,
1937
, “
Integration of Thermoelastic Equations
,”
Philosophical Magazines
, Vol.
23
, pp.
1017
1024
.
13.
Hahn
 
G. T.
,
Sarrate
 
M.
, and
Rosenfield
 
A. R.
,
1969
, “
Criteria For Crack Extension In Cylindrical Pressure Vessels
,”
International Journal of Fracture Mechanics
, Vol.
5
, pp.
187
210
.
14.
Matczynski, M., and Sih, G. C., 1983, “Prediction of Damage Sites Ahead of a Moving Heat Source,” Defects, Fracture, and Fatigue, G. C. Sih, and J. W. Provan, eds., Martinus Nijhoff, The Hague, the Netherlands, pp. 211–222.
15.
Peters, R. W. and Kuhn, P., 1957, “Bursting Strength of Unstiffened Pressure Cylinders With Slits 1957,” NACA Technical Report, TN 3993.
16.
Sih, G. C., 1973, “A Special Criterion for Crack Propagation,” Methods of Analysis and Solutions of Crack Problems, G. C. Sih, ed., Vol. 1, Noordhoff, Leyden, the Netherlands, pp. xxi–xiv.
17.
Tzou
 
D. Y.
,
1989
, “
The Effects of Thermal Shock Waves on the Crack Initiation Around a Moving Heat Source
,”
Journal of Engineering Fracture Mechanics
, Vol.
34
, pp.
1109
1118
.
18.
Tzou, D. Y., 1992a, “Thermal Shock Phenomena in Solids Under High-Rate Response,” Annual Review of Heat Transfer, Tien, C. L. ed., Vol. IV, Chap. 3, Hemisphere, Washington, DC, pp. 111–185.
19.
Tzou
 
D. Y.
,
1992
b, “
Fracture Path Emanating From a Rapidly Moving Heat Source—The Effects of Thermal Shock Waves Under High Rate Response
,”
Journal of Engineering Fracture Mechanics
, Vol.
41
, pp.
111
125
.
20.
Tzou, D. Y., 1997, Macro-to Microscale Heat Transfer: The Lagging Behavior, Taylor & Francis, Washington, DC.
21.
Tzou, D. R., Beraun, J. E., and Chen, J. K., 1997, “Thermomechanical Failure on a Pressurized Cylindrical Vessel Induced by Laser Heating,” AFRL/DEPE Technical Report, PL-TR-97-1132.
22.
Ugural, A. C., and Fenster, S. K., 1995, Advanced Strength and Applied Elasticity, 3rd Edition, Prentice Hall, Englewood Cliffs, NJ.
This content is only available via PDF.
You do not currently have access to this content.