Emission of dislocations from nanovoids under combined loading

International Journal of Plasticity

Volumn 27, Issue 2, 2011, Pages 181-200

  Lubarda, Vlado A ^a,b  

^a UNIVERSITY OF CALIFORNIA   (United States)

^b Montenegrin Academy of Sciences and Arts   (Montenegro)

Author keywords

Core cut off; Critical stress; Dislocation emission; Nanovoid; Slip plane

Indexed keywords

CRITICAL STRESS; CUT-OFF; DISLOCATION EMISSIONS; NANOVOID; SLIP PLANE;

LOADING;

STRESS ANALYSIS;

EID: 78449293334     PISSN: 07496419     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijplas.2010.04.005     Document Type: Article

References (51)

1. Anderson, P.M., 1986. Ph.D. Thesis. Divison of Applied Sciences, Harvard University, Cambridge, MA.
2. U. Borg, C.F. Niordson, and J.W. Kysar Size effect on void growth in single crystals with distributed voids Int. J. Plast. 24 2008 688 701
3. Bringa, E.M., Traiviratana, S., Meyers, M.A., submitted for publication. Void initiation in an fcc metal: molecular dynamics. Acta Mater.
4. H.H.M. Cleveringa, E. Van der Giessen, and A. Needleman A discrete dislocation analysis of bending Int. J. Plast. 15 1999 837 868
5. A.M. Cuitiño, and M. Ortiz Ductile fracture by vacancy condensation in fcc crystals Acta Mater. 44 1996 427 436
6. L.P. Dávila, P. Erhart, E.M. Bringa, M.A. Meyers, V.A. Lubarda, M.S. Schneider, R. Becker, and M. Kumar Atomistic modeling of shock-induced void collapse in copper Appl. Phys. Lett. 86 2005 Article No. 161902
7. J. Dundurs, and T. Mura Interaction between an edge dislocation and a circular inclusion J. Mech. Phys. Solids 12 1964 177 189
8. L. Farrissey, M. Ludwig, P.E. McHugh, and S. Schmauder An atomistic study of void growth in single crystalline copper Comput. Mater. Sci. 18 2000 102 117
9. F.D. Fisher, and T. Antretter Deformation, stress state and thermodynamic force for a growing void in an elastic-plastic material Int. J. Plast. 25 2009 1819 1832
10. Y.X. Gan, J.W. Kysar, and T.L. Morse Cylindrical void in a rigid-ideally plastic single crystal II: experiments and simulations Int. J. Plast. 22 2006 39 72
11. J.P. Hirth, and J. Lothe Theory of Dislocations second ed. 1982 Wiley New York
12. Y. Huang, S. Qu, K.C. Hwang, M. Li, and H. Gao A conventional theory of mechanism-based strain gradient plasticity Int. J. Plast. 21 2004 753 782
13. M. Huang, Z. Li, and C. Wang Discrete dislocation dynamics modelling of microvoid growth and its intrinsic mechanism in single crystals Acta Mater. 55 2007 1387 1396
14. M. Hussein, U. Borg, C.F. Niordson, and V.S. Deshpande Plasticity size effects in voided crystals J. Mech. Phys. Solids 56 2008 114 131
15. J.W. Kysar, Y.X. Gan, and G. Mendez-Arzuza Cylindrical void in a rigid-ideally plastic single crystal. Part I: anisotropic slip line theory solution for face-centered cubic crystals Int. J. Plast. 21 2005 1481 1520
16. Z. Li, and P. Steinmann Rve-based studies on the coupled effects of void size and void shape on yield behavior and void growth at micron scales Int. J. Plast. 22 2006 1195 1216
17. K.M. Lin, H.C. Lin, and K.C. Chen Extended dislocations around a semi-infinite crack Eng. Fract. Mech. 54 1996 395 403
18. B. Liu, Y. Huang, M. Li, K.C. Hwang, and C. Liu A study of the void size effect based on the Taylor dislocation model Int. J. Plast. 21 2005 2107 2122 (Pubitemid 40972795)
19. B. Liu, X.M. Zhang, J.G. Tang, and Y.X. Du Simulation of void growth and coalescence behavior with 3D crystal plasticity Comput. Mater. Sci. 40 2007 130 139
20. V.A. Lubarda On the non-uniqueness of solution for screw dislocations in multiply connected regions J. Elasticity 52 1999 289 292
21. V.A. Lubarda Dislocation conditions revisited Int. J. Solids Struct. 43 2006 3444 3458
22. V.A. Lubarda, and X. Markenscoff The stress field for a screw dislocation near cavities and straight boundaries Mater. Sci. Eng. A 349 2003 327 334
23. V.A. Lubarda, and X. Markenscoff Variable core model and the Peierls stress for the mixed (screw-edge) dislocation Appl. Phys. Lett. 89 2006 151923-1 151923-3
24. V.A. Lubarda, and X. Markenscoff Configurational force on a lattice dislocation and the Peierls stress Arch. Appl. Mech. 77 2007 147 154
25. V.A. Lubarda, J.A. Blume, and A. Needleman An analysis of equilibrium dislocation distributions Acta Metall. Mater. 41 1993 625 642
26. V.A. Lubarda, M.S. Schneider, D.H. Kalantar, B.R. Remington, and M.A. Meyers Void growth by dislocation emission Acta Mater. 52 2004 1397 1408
27. Lubarda, V.A., submitted for publication. Image force on a straight dislocation emitted from a circular void.
28. J. Marian, J. Knap, and M. Ortiz Nanovoid deformation in aluminum under simple shear Acta Mater. 53 2005 2893 2900
29. M.A. Meyers, S. Traiviratana, V.A. Lubarda, E.M. Bringa, and D.J. Benson The role of dislocations in the growth of nanosized voids in ductile failure of metals J. Mater. 61 2009 35 41
30. F.R.N. Nabarro Theoretical and experimental estimates of the Peierls stress Philos. Mag. A 75 1997 703 711
31. T. Ohashi Crystal plasticity analysis of dislocation emission from microvoids Int. J. Plast. 21 2005 2071 2088
32. D.A. Porter, and K.E. Easterling Phase Transformations in Metals and Alloys second ed. 2004 Taylor & Francis New York p. 113
33. G.P. Potirniche, J.L. Hearndon, M.F. Horstemeyer, and X.W. Ling Lattice orientation effects on void growth and coalescence in fcc single crystals Int. J. Plast. 22 2006 921 942
34. G.P. Potirniche, M.F. Horstemeyer, G.J. Wagner, and P.M. Gullett A molecular dynamics study of void growth and coalescence in single crystal nickel Int. J. Plast. 22 2006 257 278
35. D. Quinn, P. Connolly, M. Howe, and P. McHugh Simulation of void growth in WC-Co hardmetals using crystal plasticity theory Int. J. Mech. Sci. 39 1995 173 183
36. J.R. Rice Dislocation nucleation from a crack tip: an analysis based on the Peierls concept J. Mech. Phys. Solids 40 1992 239 271
37. J.R. Rice, and R. Thomson Ductile versus brittle behaviour of crystals Philos. Mag. A 29 1974 73 97
38. R.E. Rudd Void growth in bcc metals simulated with molecular dynamics using the Fennis-Sinclair potential Philos. Mag. 89 2009 3133 3161
39. R.E. Rudd, and J.F. Belak Void nucleation and associated plasticity in dynamic fracture of polycrystalline copper: an atomistic simulation Comput. Mater. Sci. 24 2002 148 153
40. R.E. Rudd, E.T. Seppälä, L.M. Dupuy, and J. Belak Void coalescence processes quantified through atomistic and multiscale simulation J. Comput-Aided Mater. Des. 14 2007 425 434
41. J. Segurado, and J. Llorca An analysis of the size effect on void growth in single crystals using discrete dislocation dynamics Acta Mater. 57 2009 1427 1436
42. J. Segurado, and J. Llorca Discrete dislocation dynamics analysis of the effect of lattice orientation on void growth in single crystals Int. J. Plasticity 26 2010 806 819
43. E.T. Seppälä, J. Belak, and R.E. Rudd Effect of stress triaxiality on void growth in dynamic fracture of metals: a molecular dynamics study Phys. Rev. B 69 2004 134101-1 134101-19
44. Z.-F. Song, W.-J. Zhu, X.-L. Deng, and H.-L. He Crystal-orientation dependent evolution of edge dislocations from a void in single crystal Cu Chin. Phys. Lett. 23 2006 3041 3044
45. S.P. Timoshenko, and J.N. Goodier Theory of Elasticity third ed. 1970 McGraw-Hill New York
46. S. Traiviratana, E.M. Bringa, D.H. Benson, and M.A. Meyers Void growth in metals: atomistic simulations Acta Mater. 56 2008 3874 3886
47. V. Tvergaard Material failure by void growth to coalescence Adv. Appl. Mech. 27 1990 83 151
48. V. Tvergaard, and C. Niordson Nonlocal plasticity effects on interaction of different size voids Int. J. Plast. 20 2004 107 120
49. J. Wen, Y. Huang, K.C. Hwang, C. Liu, and M. Li The modified Gurson model accounting for the void size effect Int. J. Plast. 21 2005 381 395
50. W.G. Wolfer, and W.J. Drugan Elastic interaction between a prismatic dislocation loop and a spherical cavity Philos. Mag. A 57 1988 923 937
51. W.-J. Zhu, Z.-F. Song, X.-L. Deng, H.-L. He, and X. Cheng The effect of lattice orientation on the nanovoid growth in copper under shock loading Phys. Rev. B 75 2007 024104-1 024104-5