Abstract
The main interest in this study is in the subcritical crack propagation and fracture of coated materials, specifically of cylindrical shells under repeated thermal shock. First it is shown that the circumferential crack problem in a cylindrical shell may be approximated by a plate on an elastic foundation under plane strain conditions. The thermal shock problem for a layered plate supported by an elastic foundation containing a crack in each layer of arbitrary sizes and locations is then considered. An additional factor studied is the influence of the cooling rate of the plate surface on the stress intensity factors at the crack tips. The problem is formulated in terms of a pair of singular integral equations which are solved for a number of typical crack geometries such as an edge crack, a crack terminating at the interface, an undercoat crack, and a crack crossing the interface. The main results of this paper are the stress intensity factors.
Similar content being viewed by others
References
E. Sternberg and J.G. Chakravorty, ASME Journal of Applied Mechanics 26 (1959) 503–508.
E. Sternberg and J.G. Chakravorty, Quarterly of Applied Mathematics 17 (1959) 205–220.
A.A. Rizk and F. Erdogan, Journal of Thermal Stresses 12 (1989) 125–168.
H.F. Nied and F. Erdogan, Journal of Thermal Stresses 6 (1984) 1–14.
H.F. Nied, Engineering Fracture Mechanics 20 (1984) 113–137.
R. Tang and F. Erdogan, Journal of Engineering, Gas Turbines and Power, Transactions ASME 107 (1985) 212–219.
H.S. Carslaw and J.C. Jaeger, Conduction of Heat in Solids, Oxford University Press (1950).
A.A. Rizk, ‘Cracking of a Layered Medium on an Elastic Foundation under Thermal Shock’, Ph.D. dissertation, Lehigh University, Bethlehem, Pennyslvania (1988).
N.I. Muskhelishvili, Singular Integral Equations, P. Noordhoff N.V., The Netherlands (1953).
F. Erdogan, in Mechanics Today, S. Nemat-Nasser (ed.), Vol. 4 (1978) 1–86.
A.C. Kaya and F. Erdogan, Quarterly of Applied Mathematics 45 (1987) 105–122.
A.C. Kaya and F. Erdogan, Quarterly of Applied Mathematics 45 (1987) 455–469.
F. Erdogan and V. Biricikoglu, International Journal of Engineering Science 11 (1973) 745–766.
H.F. Nied and F. Erdogan, International Journal of Fracture 22 (1983) 277–301.
G.D. Gupta and F. Erdogan, ASME Journal of Applied Mechanics 41 (1974) 1001–1006.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Erdogan, F., Rizk, A.A. Fracture of coated plates and shells under thermal shock. Int J Fract 53, 159–185 (1992). https://doi.org/10.1007/BF00034670
Received:
Accepted:
Issue Date:
DOI: https://doi.org/10.1007/BF00034670