Crack profiles and corner point singularities

Fatigue and Fracture of Engineering Materials and Structures

Volumn 23, Issue 2, 2000, Pages 141-150

  Pook, L P ^a  

^a UNIVERSITY COLLEGE LONDON   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

CRACKS; FAILURE (MECHANICAL); FINITE ELEMENT METHOD; FOAMED PLASTICS; MATHEMATICAL MODELS; STRESS INTENSITY FACTORS;

CORNER POINT SINGULARITIES; DISPLACEMENT FIELD EQUATIONS;

FRACTURE MECHANICS;

EID: 0034427702     PISSN: 8756758X     EISSN: None     Source Type: Journal    
DOI: 10.1046/j.1460-2695.2000.00249.x     Document Type: Article

References (31)

1. P. C. Paris and G. C. Sih (1965) Stress analysis of cracks. In: Fracture Toughness Testing and its Applications, ASTM STP 381, American Society for Testing and Materials, Philadelphia, PA, pp. 30-81.
2. F. Erdogan (1983) Stress intensity factors. J. Appl. Mech. 50, 992-1002.
3. L. P. Pook (1983) The Role of Crack Growth in Metal Fatigue, Metals Society, London.
4. Z. V. Parton (1992) Fracture Mechanics. From Theory to Practice, Gordon and Breach Science Publishers, Philadelphia, PA.
5. M. L. Williams (1957) On the stress distribution at the base of a stationary crack. J. Appl. Mech. 24(1), 109-114.
6. Y. Murakami (Ed.) (1987) Stress Intensity Factors Handbook, Vols. 1 and 2, Pergamon Press, Oxford.
7. Y. Murakami (Ed.) (1992) Stress Intensity Factors Handbook, Vol. 3, The Society of Materials Science, Japan.
8. S. P. Timoshenko and J. N. Goodier (1970) Theory of Elasticity, 3rd edition, McGraw-Hill, New York.
9. J. P. Benthem (1980) The quarter-infinite crack in a half-space; alternative and additional solutions. Int. J. Solids Structures 16, 119-130.
10. L. P. Pook (1994) Some implications of corner point singularities. Engng Fracture Mech. 48, 367-378.
11. Z. P. Bazant and L. F. Estenssoro (1979) Surface singularity and crack propagation. Int. J. Solids Structures 15, 405-426.
12. T. Nakamura and D. M. Parks (1989) Antisymmetrical 3-D stress field near the crack front of a thin elastic plate. Int. J. Solids Structures 25, 1411-1426.
13. G. Dhondt (1998) Analysis of the boundary layer at the free surface of a half circular crack. Engng Fracture Mech. 60, 273-290.
14. G. Dhondt (1998) On corner point singularities along a quarter circular crack subject to shear loading. Int. J. Fracture 89, L33-L38.
15. G. C. Sih and Y. D. Lee (1989) Review of triaxial crack border stress and energy behaviour. Theor. Appl. Fract. Mech. 12, 1-17.
16. L. Olaosebikan (1990) On trie variations of stress along the front of cracks and surface flaws. Engng Fracture Mech. 37, 221-235.
17. C. W. Smith, T. J. Theiss and M. Rezvani (1989) Intersection of surface flaws with free surfaces: an experimental study. In: Fracture Mechanics: Perspectives and Directions (Edited by R. P. Wei and R P. Gangloff), ASTM STP 1020, American Society for Testing and Materials, Philadelphia, PA, pp. 317-326.
18. L. P. Pook (1992) A note on corner point singularities. Int. J. Fracture 53, R3-R8.
19. K. N. Shivakumar and I. S. Raju (1990) Treatment of singularities in cracked bodies. Int. J. Fracture 45, 159-178.
20. L. P. Pook (1993) A finite element analysis of the angle crack specimen. In: Mixed-Mode Fracture and Fatigue (Edited by H. P. Rossmanith and K. J. Miller), ESIS 14, Mechanical Engineering Publications, London, pp. 285-302.
21. P. S. Theocaris and E. Gdoutos (1972) An optical method for determining opening-mode and edge sliding-mode stress-intensity factors. J. Appl. Mech. 39, 91-97.
22. M. L. Berens (Ed.) (1991) Plastics Engineering Handbook of the Society of the Plastics Industry, 5th edition, Prentice Hall, New York.
23. H. L. J. Pang (1993) Linear elastic fracture mechanics bench-marks: 2D finite element test cases. Engng Fracture Mech. 44, 741-751.
24. A. Bakker (1992) Three-dimensional constraint effects on stress intensity distributions in plate geometries with through-thickness cracks. Fatigue Fract. Engng Mater. Struct. 15, 1051-1069.
25. W. W. Sawyer (1943) Mathematician's Delight, Pelican Books, Harmondsworth.
26. R. Hirsch (1997) What is Mathematics Really? Jonathan Cape, London.
27. (1980) Guidance on some methods for the derivation of acceptance levels for defects in fusion welded joints. PD 6493: 1980, British Standards Institution, London.
28. S. Beretta and Y. Murakami (1998) The stress intensity factors for small cracks at micro-notches under torsion. In: Fracture from Defects (Edited by M. W. Brown, E. R. de los Rios and K. J. Miller), ECF 12, EMAS Publishing, Cradley Heath, West Midlands, Vol. I, pp. 55-60.
29. Z. Zhou and Y. C. Gao (1998) Asymptotic character of cracks in rubber-like materials. Theor. Appl. Fract. Mech. 30, 255-233.
30. III for semi-elliptical surface cracks in round bars. In: Fatigue '99: Proceedings of the Seventh International Fatigue Congress (Edited by X. R. Wu and Z. G. Wang), Higher Education Press, Beijing, Vol. 2/4, pp. 971-976.
31. H. L. J. Pang and C. W. Lee (1995) Three-dimensional finite element analysis of a tubular T-joint under combined axial and bending loading. Int. J. Fatigue 17, 313-320.