A cohesive zone model based on the micromechanics of dislocations

Modelling and Simulation in Materials Science and Engineering

Volumn 16, Issue 6, 2008, Pages

  Brinckmann, Steffen ^a   Siegmund, Thomas ^a  

^a PURDUE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ABS RESINS; CONSTITUTIVE MODELS; CRACK DETECTION; CRACK PROPAGATION; CRACK TIPS; CRACKING (CHEMICAL); DEFORMATION; FATIGUE CRACK PROPAGATION; FATIGUE OF MATERIALS; FINITE ELEMENT METHOD; PLASTIC DEFORMATION; PLASTICS; SEPARATION; SINGLE CRYSTALS; STRAIN; STRESSES;

COHESIVE ZONE MODEL; FATIGUE CRACK GROWTH;

CRACKS;

EID: 51349158047     PISSN: 09650393     EISSN: 1361651X     Source Type: Journal    
DOI: 10.1088/0965-0393/16/6/065003     Document Type: Article

References (47)

1. Aifantis E C 1984 On the microstructural origin of certain inelastic models ASME J. Eng. Mater. Technol. 106 326-30
2. Aifantis K E and Willis J R 2005 The role of interfaces in enhancing the yield strength of composites and polycrystals J. Mech. Phys. Solids 53 1047-70
3. Bassani J L, Needleman A and van der Giessen E 2001 Plastic flow in a composite: a comparison of nonlocal continuum and discrete dislocation predictions Int. J. Solids Struct. 38 833-53
4. Bichler C and Pippan R 2007 Effect of single overloads in ductile metals: a reconsideration Eng. Fract. Mech. 74 1344-59
5. Brinckmann S, Siegmund T and Huang Y 2006 A dislocation density based strain gradient model Int. J. Plast. 22 1784-97
6. Brinckmann S and Siegmund T 2008 Computations of fatigue crack growth with strain gradient plasticity and an irreversible cohesive zone model Eng. Fract. Mech. 75 2276-94
7. Chen J Y, Wei Y, Huang Y, Hutchinson J W and Hwang K C 1999 The crack tip fields in strain gradient plasticity: the asymptotic and numerical analyses Eng. Fract. Mech. 64 625-48
8. Clayton J D, McDowell D L and Bammann D J 2004 A multiscale gradient theory for single crystalline elastoviscoplasticity Int. J. Eng. Sci. 42 427-57
9. Cleveringa H H M, van der Giessen E and Needleman A 2000 A discrete dislocation analysis of mode I crack growth J. Mech. Phys. Solids 48 1133-57
10. Deshpande V S, Needleman A and van der Giessen E 2001 A discrete dislocation analysis of near-threshold fatigue crack growth Acta Mater. 49 3189-203
11. Deshpande V S, Needleman A and van der Giessen E 2002 Discrete dislocation modeling of fatigue crack propagation Acta Mater. 50 831-46
12. Dillon O W and Kratochvil J 1970 A strain gradient theory of plasticity Int. J. Solid Struct. 6 1513-33
13. Dugdale D S 1960 Yielding of steel sheets containing slits J. Mech. Phys. Solids 8 100-4
14. Elber W 1971 The significance of fatigue crack closure, in Damage Tolerance in Aircraft Structures ASTM Special Tech. Publ. 486 230-42
15. Fleck N A and Hutchinson J W 1993 A phenomenological theory for strain gradient effects in plasticity J. Mech. Phys. Solids 41 1825-57
16. Gao H, Huang Y, Nix W D and Hutchinson J W 1999 Mechanism-based strain gradient plasticity: I. Theory J. Mech. Phys. Solids 47 1239-63
17. Garikipati K 2003 Couple stresses in crystalline solids: origins from plastic slip gradients, dislocation core distortions, and three-body interatomic potentials J. Mech. Phys. Solids 51 1189-214
18. Gurtin M E 2000 On the plasticity of single crystals: free energy, microforces, plastic-strain gradients J. Mech. Phys. Solids 48 989-1036
19. Gurtin M E 2002 A gradient theory of single-crystal viscoplasticity that accounts for geometrically necessary dislocations J. Mech. Phys. Solids 50 5-32
20. Gurtin M E 2004 On a framework for small-deformation viscoplasticity: free energy, microforces, strain gradients Int. J. Plast. 19 47-90
21. Hirth J P and Lothe J 1968 Theory of Dislocations (New York: McGraw-Hill)
22. Hess B, Thijsse B J and van der Giessen E 2005 Molecular dynamics study of dislocation nucleation from a crack tip Phys. Rev. 71 054111
23. Huang Y, Chen J Y, Guo T F, Zhang L and Hwang K C 1999 Analytic and numerical studies on mode I and mode II fracture in elastic-plastic materials with strain gradient effects Int. J. Fract. 100 1-27
24. Huang Y, Qu S, Hwang K C, Li M and Gao H 2004 A conventional theory of mechanism-based strain gradient plasticity Int. J. Plast. 20 753-82
25. Huang Y, Zhang F, Hwang K C, Nix W D, Pharr G M and Feng G 2006 A model of size effects in nano-indentation J. Mech. Phys. Solids 54 1668-86
26. Jaubert A and Marigo J J 2006 Justification of Paris-type fatigue laws from cohesive forces model via a variational approach Continuum Mech. Thermodyn. 18 23-45
27. Maiti S and Geubelle P H 2005 A cohesive model for fatigue failure of polymers Eng. Fract. Mech. 72 691-708
28. Menzel A and Steinmann P 2000 On the continuum formulation of higher gradient plasticity for single and polycrystals J. Mech. Phys. Solids 48 1777-96
29. Mughrabi H 1983 Dislocation wall and cell structures and long-range internal stresses in deformed metal crystals Acta Metall. 31 1367-79
30. Mughrabi H 2004 On the current understanding of strain gradient plasticity Mater. Sci. Eng. A 387-389 209-13
31. Nguyen O, Repetto E A, Ortiz M and Radovitzky R A 2001 A cohesive model of fatigue crack growth Int. J. Fract. 110 351-69
32. Rice J R 1967 The mechanics of crack tip deformation and extension by fatigue ASTM Special Tech. Publ. 415 247-311
33. Riemelmoser F O and Pippan R 1997 Investigation of a growing fatigue crack by means of a discrete dislocation model Mater. Sci. Eng. A 234-236 135-6
34. Ritchie R O and Dauskardt R H 1991 Cyclic fatigue of ceramics: a fracture mechanics approach to subcritical crack growth and life prediction J. Ceram. Soc. Japan 99 1047-62
35. Roe K L and Siegmund T 2003 An irreversible cohesive zone model for interface fatigue crack growth simulation Eng. Fract. Mech. 70 209-32
36. Rose J H, Ferrante J and Smith J R 1981 Universal binding energy curves for metals and bimetallic interfaces Phys. Rev. Lett. 47 675-8
37. Shu J Y and Fleck N A 1998 The prediction of a size effect in microindentation Int. J. Solids Struct. 35 1363-83
38. Shu J Y and Fleck N A 1999 Strain gradient crystal plasticity: size-dependent deformation of bicrystals J. Mech. Phys. Solids 47 297-324
39. Siegmund T, Kolednik O and Pippan R 1990 Direct measurement of the cyclic crack-tip deformation Z. Metallk. 81 677-83 (in German)
40. Stolken J S and Evans A G 1998 A microbend test method for measuring the plasticity length scale Acta Mater. 46 5109-15
41. Suresh S 1998 Fatigue of Materials 2nd edn (Cambridge: Cambridge University Press)
42. Tvergaard V and Hutchinson J W 1996 Effect of strain-dependent cohesive zone model on predictions of crack growth resistance Int. J. Solids Struct. 33 3297-308
43. Wang B and Siegmund T 2005 A numerical analysis of constraint effects in fatigue crack growth by use of an irreversible cohesive zone model Int. J. Fract. 132 175-96
44. Wen J, Huang Y, Hwang K C, Liu C and Li M 2005 The modified Gurson model accounting for the void size effect Int. J. Plast. 21 381-95
45. Xu X P and Needleman A 1994 Numerical simulations of fast crack growth in brittle solids J. Mech. Phys. Solids 42 1397-434
46. Yang Q D, Shim D J and Spearing S M 2004 A cohesive zone model for low cycle fatigue life prediction of solder joints Microelectron. Eng. 75 85-95
47. Zbib H M and Diaz de la Rubia T 2002 A multiscale model of plasticity Int. J. Plast. 18 1133-63