Analytical and numerical evaluation of crack-tip plasticity of an axisymmetrically loaded penny-shaped crack

Comptes Rendus - Mecanique

Volumn 336, Issue 1-2, 2008, Pages 54-68

  Chaiyat, Sumitra ^a   Jin, Xiaoqing ^b   Keer, Leon M ^b   Kiattikomol, Kraiwood ^a  

^a KING MONGKUT'S UNIVERSITY OF TECHNOLOGY THONBURI   (Thailand)

^b Northwestern University   (United States)

Author keywords

Crack tip plasticity; Dugdale approach; Penny shaped crack; Tresca criterion; Von Mises criterion

Indexed keywords

CRACKS; ELASTICITY; NUMERICAL METHODS; PLASTICITY; PROBLEM SOLVING;

ANALYTICAL METHOD; COMPARATIVE STUDY; CRACK; NUMERICAL METHOD; PLASTICITY;

EID: 38949192150     PISSN: 16310721     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.crme.2007.10.015     Document Type: Short Survey

References (24)

1. Coffin L.F. A note on low cycle fatigue laws. Journal of Materials 6 2 (1971) 388-402
2. Weertman J. Rate of growth of fatigue cracks calculated from theory of infinitesimal dislocations distributed on a plane. International Journal of Fracture Mechanics 2 2 (1966) 460-467
3. Fleck W.G., and Anderson R.B. A mechanical model of fatigue crack propagation. Proceedings of the Second International Conference on Fracture (1969), Chapman & Hall, Brighton 790-802
4. Barenblatt G.I. The mathematical theory of equilibrium cracks in brittle fracture. Advances in Applied Mechanics vol. 7 (1962), Academic Press 55-129
5. Dugdale D.S. Yielding of steel sheets containing slits. Journal of the Mechanics and Physics of Solids 8 2 (1960) 100-104
6. Sneddon I.N. The distribution of stress in the neighbourhood of a crack in an elastic solid. Proceedings of the Royal Society of London A 187 (1946) 229-260
7. Selvadurai A.P.S. The penny-shaped crack problem for a finitely deformed incompressible elastic solid. International Journal of Fracture 16 4 (1980) 327-333
8. Smith F.W., Kobayash A.S., and Emery A.F. Stress intensity factors for penny-shaped cracks, part I-infinite solid. Journal of Applied Mechanics 34 4 (1967) 947-952
9. Tsai Y.M. Penny-shaped crack in a transversely isotropic plate of finite thickness. International Journal of Fracture 20 2 (1982) 81-89
10. Wang X. Elastic t-stress solutions for penny-shaped cracks under tension and bending. Engineering Fracture Mechanics 71 16-17 (2004) 2283-2298
11. Korsunsky A.M., and Hills D.A. Solution of axisymmetric crack problems using distributed dislocation ring dipoles. Journal of Strain Analysis for Engineering Design 35 5 (2000) 373-382
12. Parihar K.S., and Rao J.V.S.K. Axisymmetrical stress-distribution in the vicinity of an external crack under general surface loadings. International Journal of Solids and Structures 30 18 (1993) 2567-2586
13. Green A.E., and Zerna W. Theoretical Elasticity (1954), Oxford, Clarendon Press
14. Collins W.D. Some axially symmetric stress distributions in elastic solids containing penny-shaped cracks. I. Cracks in an infinite solid and a thick plate. Proceedings of the Royal Society of London, Series A, Mathematical and Physical Sciences 266 1326 (1962) 359-386
15. Barber J.R. The solution of elasticity problems for the half-space by the method of Green and Collins. Applied Scientific Research 40 2 (1983) 135-157
16. Keer L.M. A class of non-symmetrical punch and crack problems. Quarterly Journal of Mechanics and Applied Mathematics 17 4 (1964) 423-436
17. Keer L.M. Stress distribution at the edge of an equilibrium crack. Journal of the Mechanics and Physics of Solids 12 3 (1964) 149-163
18. Keer L.M., and Mura T. Stationary crack and continuous distributions of dislocations. Proceedings of the First International Conference on Fracture, vol. 1 (1965), The Japanese Society for Strength and Fracture of Materials, Sendai, Japan 99-115
19. Kelly P.A., and Nowell D. Three-dimensional cracks with Dugdale-type plastic zones. International Journal of Fracture 106 4 (2000) 291-309
20. Becker W., and Gross D. About the penny-shaped Dugdale crack under shear and triaxial loading. ICF 7 (1988) 2289-2299
21. Chen W.R., and Keer L.M. Mixed-mode fatigue-crack propagation of penny-shaped cracks. Journal of Engineering Materials and Technology-Transactions of the ASME 115 4 (1993) 365-372
22. Wang G., and Li S.F. A penny-shaped cohesive crack model for material damage. Theoretical and Applied Fracture Mechanics 42 3 (2004) 303-316
23. Maugis D. Contact, Adhesion, and Rupture of Elastic Solids (2000), Springer, Berlin, New York
24. Jing P.H., and Khraishi T. Analytical solutions for crack tip plastic zone shape using the von Mises and Tresca yield criteria: Effects of crack mode and stress condition. Journal of Mechanics 20 3 (2004) 199-210