Axially symmetric thermal stresses in the vicinity of a finite cylindrical crack in an elastic pipe are calculated. The surfaces of the crack are assumed to be insulated. The outer surface of the pipe is heated so as to maintain a constant temperature Td, and the inner surface of the pipe is cooled so as to maintain a constant temperature Tb. Expressions developed by Sharma are used to solve the problem. Stress intensity factors are defined and calculated numerically for several configurations of the pipe.

Issue Section:
Brief Notes
Keywords:
thermal stress cracking, thermal stresses, crack-edge stress field analysis, elasticity
Topics:
Fracture (Materials), Pipes, Stress, Thermal stresses, Temperature, Boundary-value problems
1.
Sharma
,
B.
,
1958
, “
Thermal Stresses in Transversely Isotropic Semi-Infinite Elastic Solid
,”
ASME J. Appl. Mech.
,
25
, pp.
86
–
88
.
2.
Morse, P. M., and Feshbach, H., 1958, Methods of Theoretical Physics 1, McGraw-Hill, New York, p. 926.
3.
Yau
,
W. F.
,
1967
, “
Axisymmetric Slipless Indentation of an Infinite Elastic Cylinder
,”
SIAM (Soc. Ind. Appl. Math.) J. Appl. Math.
,
15
, pp.
219
–
227
.
4.
Atsumi
,
A.
, and
Itou
,
S.
,
1973
, “
Stresses in a Transversely Isotropic Slab Having a Spherical Cavity
,”
ASME J. Appl. Mech.
,
40
, pp.
752
–
758
.
5.
Atsumi
,
A.
, and
Itou
,
S.
,
1974
, “
Stresses in a Transversely Isotropic Circular Cylinder Having a Spherical Cavity
,”
ASME J. Appl. Mech.
,
41
, pp.
507
–
511
.
6.
Atsumi
,
A.
, and
Itou
,
S.
,
1974
, “
Stresses in a Transversely Isotropic Half Space Having a Spherical Cavity
,”
ASME J. Appl. Mech.
,
41
, pp.
708
–
711
.
7.
Atsumi
,
A.
, and
Itou
,
S.
,
1976
, “
Axisymmetric Thermal Stresses in a Transversely Isotropic Circular Cylinder Having a Spherical Cavity
,”
ASME J. Appl. Mech.
,
43
, pp.
431
–
433
.
Copyright © 2003
 by ASME
You do not currently have access to this content.