Abstract
The problem of a mode I surface or internal crack in a plate with residual stresses is examined. The emphasis in this study is in accounting for crack surface contact. The importance of such problems is realized in both crack detection and in the stress intensity factor calculations. The line spring model is used to iteratively determine the border of the closed portion of the crack and the stress intensity factors along the open portion. It is demonstrated that the model is very versatile for solving contact problems. Examples for both surface and internal cracks are given. It is shown that if crack contact is ignored, the stress intensity factor may be significantly underestimated.
Similar content being viewed by others
References
P.F. Joseph and F. Erdogan, International Journal of Fracture 41 (1989) 105–131.
M. Yang and K.S. Kim, Engineering Fracture Mechanics 44 (1993) 155–165.
S. Suresh, Fatigue of Materials, Cambridge University Press, Cambridge (1991) 223.
M.J. Comninou, Journal of Applied Mechanics 44 (1977) 631–636.
R.S. Alwar and K.N. Ramachandran Nambissan, Engineering Fracture Mechanics 17 (1983) 323–333.
R.D. Cordes and P.F. Joseph, International Journal of Fracture, submitted.
I.S. Raju and J.C. NewmanJr., Journal of Pressure Vessel Technology 104 (1982) 293–298.
M. Shiratori, Bulletin of the Faculty of Engineering, Yokohama National University, Yokohama, Japan 35 (1986) 1–25.
J.R. Rice and N. Levy, Journal of Applied Mechanics 39 (1972) 185–194.
F. Erdogan, in Computational Methods in the Mechanics of Fracture, S.N. Atluri (ed.), Elsevier, New York, Vol. 2 (1986) 289–309.
P.F. Joseph and F. Erdogan, International Journal of Solids and Structures 27 No. 6 (1991) 725–750.
D.M. Parks, Journal of Pressure Vessel Technology 103 (1981) 246–254.
C.Y. Yang, in Fracture Mechanics: Nineteenth Symposium, ASTM STP 969, T. Cruse (ed.) (1988).
F. Erdogan, Journal of Electronic Packaging 111, No. 1 (1989) 61–67.
P.F. Joseph and F. Erdogan, ‘Plates and Shells Containing a Surface Crack Under General Loading Conditions,’ NASA Contractor Report 178328, NASA Langley Research Center (July 1987).
E. Reissner, Quarterly of Applied Mathematics 5, No. 1 (1947) 55–68.
A.C. Kaya and F. Erdogan, Quarterly of Applied Mathematics 45, No. 1 (1987) 105–122.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Cordes, R.D., Joseph, P.F. Crack surface contact of surface and internal cracks in a plate with residual stresses. Int J Fract 66, 1–17 (1994). https://doi.org/10.1007/BF00012632
Received:
Accepted:
Issue Date:
DOI: https://doi.org/10.1007/BF00012632