Modelling of growth of three-dimensional cracks by a continuous distribution of dislocation loops

Computational Mechanics

Volumn 19, Issue 6, 1997, Pages 538-544

  Dai, D N ^a   Hills, D A ^a   Nowell, D ^a  

^a UNIVERSITY OF OXFORD   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; COMPUTER SIMULATION; FATIGUE OF MATERIALS; INTEGRAL EQUATIONS; NUMERICAL METHODS;

CRACK SHAPE EVOLUTION; INFINITESIMAL DISLOCATION LOOPS; PARIS LAW;

CRACK PROPAGATION;

EID: 0031143011     PISSN: 01787675     EISSN: None     Source Type: Journal    
DOI: 10.1007/s004660050206     Document Type: Article

References (19)

1. Dai, D. N.; Hills, D. A. (1995): A Layered Half-Space Subject to a Point Force or Containing an Infinitesimal Dislocation Loop. OUEL Report 2082/95, Department of Engineering Science, University of Oxford
2. Dai, D. N.; Hills, D. A. (1996): A fundamental dislocation solution for an infinite plate with application to related crack problems. Int. J. Sol. Struct. (under review)
3. Dai, D. N.; Nowell, D.; Hills, D. A. (1993): Eigenstrain methods in three-dimensional crack problems: an alternative integration procedure. J. Mech. Phys. Solids 41, 1003-1017
4. Dai, D. N.; Hills, D. A.; Nowell, D. (1996): Formulation and implementation of the eigenstrain method employing higher order elements. Int. J. Sol. Struct. 33 (3), 331-342
5. Eshelby, J. D. (1961): Elastic inclusions and inhomogeneities. In: Sneddon I.N; Hill, R. (eds.): Progress in Solid Mechanics. North-Holland, Amsterdam, Vol. 2, 89-140
6. Guiggiani, M.; Casalini, P. (1987): Direct computation of Cauchy principle value integrals in advanced boundary elements. Int. J. Num. Meth. Eng. 24, 1711-1720
7. Hills, D. A.; Kelly, P. A.; Dai, D. N.; Korsunski, A. M. (1996): Solution of Crack Problems: The Distributed Dislocation Technique. Kluwer Academic Publishers, The Netherlands
8. Ioakimidis, N. I.; Pitta, M. S. (1988): Remarks on the gaussian quadrature rule for finite part integrals with a second-order singularity. Comp. Meth. Appl. Mech. Eng. 69, 325-343
9. Krishnasamay, G.; Schmerr, L. W.; Rudolphi, T. J.; Rizzo, F. J. (1990): Hypersingular boundary integral equations: some appli-cations in acoustic and elastic wave scattering. J. Appl. Mech. ASME 57, 404-414
10. Kutt, H. R. (1975): The numerical evaluation of principal value integrals by finite-part integration. Num. Math. 24, 200-210
11. Lachat, J. G.; Watson, J. O. (1976): Effective numerical treatment of boundary integral equations: A formulation for three-dimensional elastostatics. Int. J. Num. Meth. Eng. 10, 991-1005
12. Lee, J. G.; Farris, T. N.; Keer, L. M. (1987): Stress intensity factors for cracks of arbitrary shape near an interfacial boundary. Eng. Fract. Mech. 27, 27-41
13. Love, A. E. H. (1927): A Treatise on the Mathematical Theory of Elasticity. Cambridge University Press
14. Mindlin, R. D. (1936): Force at a point in the interior of a semi-infinite solid. Physics 7, 195-202
15. Movchan, A. B.; Willis, J. R. (1995): An asymptotic procedure and numerical study for the analysis of an elastic body with a thin sub-surface crack. Euro J. Appl. Math. 6, 1-23
16. Mura, T. (1981): Micromechanics of Defects in Solids. Martinus Nijhoff Publishers, Dordrecht
17. Murakami, Y.; Nemat-Nasser, S. (1982): Interacting dissimilar semi-elliptical surface flaws under tension and bending. Eng. Fract. Mech. 16, 373-386
18. Newman, J. C.; Raju, I. S. (1981): An empirical stress intensity factor equation for the surface crack. Eng. Fract. Mech. 15, 185-192
19. Rongved, L. (1955): Force interior to one of two joined semi-infinite solids. Proceedings, Second Midwestern Conference on Solid Mechanics, 1-13