An analysis of dislocation nucleation near a free surface

International Journal of Solids and Structures

Volumn 44, Issue 6, 2007, Pages 1719-1732

  Liu, Yufu ^a   Van der Giessen, Erik ^b   Needleman, Alan ^c  

^a UNIVERSITY OF TOKYO   (Japan)

^b UNIVERSITY OF GRONINGEN   (Netherlands)

^c Brown University   (United States)

Author keywords

Dislocation nucleation; Free surface; Molecular dynamics; Plasticity; Pure bending; Size effect

Indexed keywords

DISLOCATIONS (CRYSTALS); MOLECULAR DYNAMICS; PLASTICITY; SHEAR STRESS; SURFACE STRUCTURE;

DISLOCATION NUCLEATION; PURE BENDING; SIZE EFFECTS;

NUCLEATION;

EID: 33846548561     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijsolstr.2006.07.017     Document Type: Article

References (32)

1. Acharya A. Driving forces and boundary conditions in continuum dislocation mechanics. Proceedings of the Royal Society of London, Series A-Mathematical Physical and Engineering Sciences 459 2034 (2003) 1343-1363
2. Allen M., and Tildesley D. Computer Simulation of Liquids (1987), Oxford University Press, New York pp. 46-49
3. Beltz G.E., and Rice J.R. Dislocation nucleation at metal ceramic interfaces. Acta Metallurgical et Materialia 40 (1992) S321-S331
4. Benzerga A.A., Bréchet Y., Needleman A., and Van der Giessen E. Incorporating three-dimensional mechanisms into two-dimensional dislocation dynamics. Modeling and Simulation in Materials Science and Engineering 12 1 (2004) 159-196
5. Brochard S., Beauchamp P., and Grilhé J. Simulation of dislocation nucleation from atomic size surface steps and grooves. Materials Science and Engineering A 309-310 (2001) 456-462
6. Christiansen J., Morgenstern K., Schiøtz J., K.W., Braun K.-F., Rieder K.-H., Lægsgaard E., and Besebbacger F. Atomic-scale structure of dislocations revealed by scanning tunneling microscopy and molecular dynamics. Physical Review Letters 88 20 (2002)
7. Daw M.S., and Baskes M.I. Embedded-atom method - derivation and application to impurities, surfaces and other defects in metals. Physical Review B 29 12 (1984) 6443-6453
8. Ercolessi F., and Adams J.B. Interatomic potentials from 1st-principles calculations - the force-matching method. Europhysics Letters 26 8 (1994) 583-588
9. Gao, Y.F., Yu, H.H., Kim, K.S., submitted for publication. Microplasticity of surface steps under adhesive contact. Part II. Multiple-dislocation mediated surface hardening.
10. Hess B., Thijsse B.J., and Van der Giessen E. Molecular dynamics study of dislocation nucleation from a crack tip. Physical Review B 71 (2005) 054111
11. Hill R. Acceleration waves in solids. Journal of the Mechanics and Physics of Solids 10 (1962) 1-16
12. Hirth J.P. Some current topics in dislocation theory. Acta Materialia 48 1 (2000) 93-104
13. Hoover W.G. Canonical dynamics: equilibrium phase-space distributions. Physical Review A 31 3 (1985) 1695-1697
14. Kelchner C.L., Plimpton S.L., and Hamilton J.C. Dislocation nucleation and defect structure during surface indentation. Physical Review B 58 17 (1998) 11085-11088
15. Kubin L., and Canova G. The modeling of dislocation patterns. Scripta Metallurgica et Materialia 27 8 (1992) 957-962
16. Li J., Vliet K.J.V., Zhu T., Yip S., and Suresh S. Atomistic mechanisms governing elastic limit and incipient plasticity in crystals. Nature 418 (2002) 307-310
17. Miller, R., 2002. Private communication.
18. Miller R., and Acharya A. A stress-gradient based criterion for dislocation nucleation in crystals. Journal of the Mechanics and Physics of Solids 52 7 (2004) 1507-1525
19. Nose S. A unified formulation of the constant temperature molecular dynamics methods. The Journal of Chemical Physics 81 1 (1984) 511-519
20. Rice J.R. The localization of plastic deformation. In: Koiter W.T. (Ed). Theoretical and Applied Mechanics (1976), North-Holland 207-219
21. Rice J.R., and Thomson R. Ductile versus brittle behavior of crystals. Philosophical Magazine 29 1 (1974) 73-97
22. Sayle R., and Milner-White E.J. RASMOL: biomolecular graphics for all. Trends in Biochemical Sciences 20 9 (1995) 374-376
23. Shan D., Yuan L., and Guo B. Multiscale simulation of surface step effects on nanoindentation. Materials Science and Engineering A 412 (2005) 264-270
24. Shenoy V.B., Phillips R., and Tadmor E.B. Nucleation of dislocations beneath a plane strain indenter. Journal of the Mechanics and Physics of Solids 48 4 (2000) 649-673
25. Van der Giessen E., and Needleman A. Discrete dislocation plasticity: a simple planar model. Modeling and Simulation in Materials Science and Engineering 3 5 (1995) 689-735
26. Van Vliet K.J., Li J., Zhu T., Yip S., and Suresh S. Quantifying the early stages of plasticity through nanoscale experiments and simulations. Physical Review B 67 10 (2003)
27. Weingarten, N.S., Selinger, R.L.B., 2006. Size effects and dislocation patterning in two-dimensional bending. Preprint cond-mat/0606789.
28. Xu G., Argon A.S., and Ortiz M. Nucleation of dislocations from crack tips under mixed-mode loading - implications for brittle against ductile behavior of crystals. Philosophical Magazine A - Physics of Condensed Matter Structure Defects and Mechanical Properties 72 2 (1995) 415-451
29. Yu, H.H., Shrotriya, P., Gao, Y.F., Kim, K.S., accepted for publication. Microplasticity of surface steps under adhesive contact. Part I. Surface yielding controlled by single-dislocation nucleation. Journal of the Mechanics and Physics of Solids.
30. Zbib H., Rhee M., and Hirth. On plastic deformation and the dynamics of 3D dislocations. International Journal of Mechanical Sciences 40 2-3 (1998) 113-127
31. Zhu T., Li J., Van Vliet K.J., Ogata S., Yip S., and Suresh S. Predictive modeling of nanoindentation-induced homogeneous dislocation nucleation in copper. Journal of the Mechanics and Physics of Solids 52 3 (2004) 691-724
32. Zimmerman J.A., Kelchner C.L., Klein P.A., Hamilton J.C., and Foiles S.M. Surface step effects on nanoindentation. Physical Review Letters 87 16 (2001)