A numerical study of crack tip constraint in ductile single crystals

Journal of the Mechanics and Physics of Solids

Volumn 56, Issue 6, 2008, Pages 2265-2286

  Patil, Swapnil D ^a   Narasimhan, R ^a   Mishra, R K ^b  

^a INDIAN INSTITUTE OF SCIENCE   (India)

^b GENERAL MOTORS CORPORATION   (United States)

Author keywords

Constraint effects; Crack tip fields; Finite elements; Modified boundary layer analysis; Single crystal

Indexed keywords

BOUNDARY LAYERS; DUCTILITY; FINITE ELEMENT METHOD; PARAMETER ESTIMATION; SHEAR BANDS;

MODIFIED BOUNDARY LAYER ANALYSIS; NEGLECTING ELASTIC ANISOTROPY;

SINGLE CRYSTALS;

EID: 42649137881     PISSN: 00225096     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jmps.2008.01.002     Document Type: Article

References (30)

1. Asaro R.J. Crystal plasticity. J. Appl. Mech. 50 (1983) 921-934
2. Basu S., and Narasimhan R. A numerical investigation of loss of crack tip constraint in dynamically loaded ductile specimen. J. Mech. Phys. Solids 48 (2000) 1967-1985
3. Betegon C., and Hancock J.W. Two-parameter characterization of elastic-plastic crack tip fields. J. Appl. Mech. 58 (1991) 104-110
4. Crone W.C., and Shield T.W. Experimental study of the deformation near a notch tip in copper and copper-beryllium single crystals. J. Mech. Phys. Solids 49 (2001) 2819-2838
5. Cuitino A.M., and Ortiz M. Computational modeling of single crystals. Model. Simul. Mater. Sci. Eng. 1 (1992) 125
6. Cuitino A.M., and Ortiz M. Three-dimensional crack-tip fields in four point bending copper single crystal specimens. J. Mech. Phys. Solids 44 (1996) 863-904
7. Drugan W.J. Asymptotic solutions for tensile crack tip fields without kink-type shear bands in elastic-ideally plastic single crystals. J. Mech. Phys. Solids 49 (2001) 2155-2176
8. Flouriot S., Forest S., Cailletaud G., Koster A., Remy L., Burgardt B., Gros V., Mosset S., and Delautre J. Strain localization at the crack tip in single crystal CT specimens under monotonous loading: 3D finite element analysis and application to nickel-based superalloys. Int. J. Fract. 124 (2003) 43-77
9. Garrett G., and Knott J. Crystallographic fatigue crack growth in aluminum alloys. Acta Metall. 23 (1975) 841-848
10. Hosford W.F.J., Fleischer R.L., and Backofen W.A. Tensile deformation of aluminum single crystals at low temperatures. Acta Metall. 8 (1960) 187-199
11. Hughes T.J.R. Generalization of selective integration procedures to anisotropic and non-linear media. Int. J. Numer. Methods Eng. 15 (1980) 1413-1418
12. Jayadevan K.R., Narasimhan R., Ramamurthy T.S., and Dattaguru B. A numerical study of T-stress in dynamically loaded fracture specimens. Int. J. Solids Struct. 38 (2001) 4987-5005
13. Kysar J., and Briant C. Crack tip deformation fields in ductile single crystals. Acta Mat. 50 9 (2002) 1367-2380
14. McMeeking, R.M., Parks, D.M., 1979. On criteria for J-dominance of crack-tip fields in large-scale yielding. In: Landes, J.D., Begley, J.A., Clarke, G.A. (Eds.), Elastic-plastic fracture ASTM STP 668. American Society for Testing and Materials, pp. 175-194.
15. Miehe C., and Schotte J. Crystal plasticity and evolution of polycrystalline microstructure. In: Erwin S., Rene D.B., and Hughes T.J.R. (Eds). Encyclopedia of Computational Mechanics, Solids and Structures vol. 2 (2004), Wiley, New York 51-83
16. Mohan R., Ortiz M., and Shih C.F. An analysis of cracks in ductile single crystals: Part II-mode-I loading. J. Mech. Phys. Solids 40 (1992) 315
17. Moran B., Ortiz M., and Shih C.F. Formulation of implicit finite element methods for multiplicative finite deformation plasticity. Int. J. Numer. Methods Eng. 29 (1990) 483-514
18. Neumann P. New experiments concerning the slip processes at propagating fatigue cracks-I. Acta Metall. 22 (1974) 1155
19. Neumann P. The geometry of slip processes at propagating fatigue cracks-II. Acta Metall. 22 (1974) 1167
20. O'Dowd N.P., and Shih C.F. Family of crack tip fields characterized by a triaxiality parameter-I, structure of fields. J. Mech. Phys. Solids 39 (1991) 989-1015
21. Patil, S.D., Narasimhan, R., Biswas, P., Mishra, R.K., 2007. A combined experimental and numerical study of crack tip fields in aluminum single crystal SEN(T) specimens. ASME J. Eng. Mater., accepted for publication.
22. Peirce D., Asaro R.J., and Needleman A. Material rate dependence and localized deformation in crystalline solids. Acta Metall. 31 (1983) 1951-1976
23. Rice J.R. Tensile crack tip fields in elastic-ideally plastic crystals. Mech. Mater. 6 (1987) 317
24. Rice J.R., Hawk D., and Asaro R.J. Crack tip fields in ductile single crystals. Int. J. Fract. 42 (1990) 301-321
25. Saeedvafa M., and Rice J.R. Crach tip singular fields in ductile single crystals with taylor power-law hardening II: Plane strain. J. Mech. Phys. Solids 37 (1989) 673-691
26. Sharma S.M., and Aravas N.A. J. Mech. Phys. Solids 39 8 (1991) 1043-1072
27. Shield T.W. Experimental study of the plastic strain fields near a notch tip in a copper single crystal during loading. Acta Mater. 44 (1996) 1547-1561
28. Shield T.W., and Kim K.S. Experimental measurement of the near tip strain field in an iron-silicon single crystal. J. Mech. Phys. Solids 42 (1994) 845-873
29. Williams M.L. On the stress distribution at the base of a stationary crack. J. Appl. Mech. 24 (1957) 111-114
30. Zienkiewicz O.C., and Taylor R.L. The Finite Element Method (1989), McGraw-Hill Publishing, New York