On Cauchy singular integrals and stress intensity factors for 2D mode I cracks in an infinite solid

Mechanics Research Communications

Volumn 30, Issue 4, 2003, Pages 353-364

  Khraishi, T A ^a   Demir, I ^b  

^a University of New Mexico   (United States)

^b KING SAUD UNIVERSITY   (Saudi Arabia)

Author keywords

Crack stresses; Dislocation crack interaction; Modeling

Indexed keywords

BRITTLENESS; COMPUTER SIMULATION; PROBLEM SOLVING; STRESS INTENSITY FACTORS;

CRACK STRESSES;

CRACKS;

EID: 0037973327     PISSN: 00936413     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0093-6413(03)00032-6     Document Type: Review

References (22)

1. Abramowitz, M., Stegun, I.A., 1964. Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables. Dover, New York.
2. Carnahan, B., Luther, H.A., Wilkes, J.O., 1969. Applied Numerical Methods. Wiley, New York.
3. Chapra, S.C., Canale, R.P., 1998. Numerical Methods for Engineers. WCB/McGraw-Hill, Boston, MA.
4. Demir, I., Gulluoglu, A.N., 1999. JEMT 121, 151.
5. Demir, I., Zbib, H.M., 2001. Int. J. Engng. Sci. 39, 1597.
6. Demir, I., Hirth, J.P., Zbib, H.M., 1992. Int. J. Engng. Sci. 30, 829.
7. Elliott, D., 1983. J. Aust. Math. Soc. 25B, 261.
8. Erdogan, F., Gupta, G.D., 1972. Q. Appl. Math. 30, 525.
9. Erdogan, F., Gupta, G.D., Cook, T.S., 1973. In: Sih, G.C. (Ed.), Methods of Analysis and Solutions of Crack Problems. Noordhoff, Leyden, p. 368.
10. Gerasoulis, A., 1982. Comp. Math. Appl. 8, 15.
11. Gerasoulis, A., Srivastav, R.P., 1981. Int. J. Engng. Sci. 19, 1293.
12. Hills, D.A., Kelly, P.A., Dai, D.N., Korsunsky, A.M., 1996. Solution of Crack Problems: The Distributed Dislocation Technique. Kluwer, Dordrecht, The Netherlands.
13. Junghanns, P., Silbermann, B., 2000. J. Computat. Appl. Math. 125, 395.
14. Khraishi, T.A., 2000. The Treatment of Boundary Conditions in Three-Dimensional Dislocation Dynamics Analysis, Ph.D. Thesis, Washington State University, USA.
15. Krenk, S., 1975. Q. Appl. Math. 32, 479.
16. Kurtz, R.D., Farris, T.N., Sun, C.T., 1994. Int. J. Fracture 66, 139.
17. Monegato, G., Prössdorf, S., 1993. In: Agarval, A.C. (Ed.), Contributions to Numerical Mathematics. World Scientific, Singapore, p. 285.
18. Nazarenko, V.M., 1986. Sov. Appl. Mech. 22, 970.
19. Rathsfeld, A., 2000. J. Computat. Appl. Math. 125, 439.
20. Schmidt, G., 1986. Math. Nachr. 126, 183.
21. Tada, H., Paris, P.C., Irwin, G.R., 2000. The Stress Analysis of Cracks Handbook. ASME, New York.
22. Theocaris, P.S., Ioakimidis, N.I., 1977. Q. Appl. Math. 35, 173.