A continuum plasticity model that accounts for hardening and size effects in thin films

Modelling and Simulation in Materials Science and Engineering

Volumn 18, Issue 4, 2010, Pages

  Hunter, Abigail ^a   Kavuri, H ^a   Koslowski, Marisol ^a  

^a PURDUE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CONTINUUM PLASTICITY; CRYSTAL PLASTICITY MODELS; DISLOCATION DYNAMICS SIMULATION; DISLOCATION LAYERS; DISLOCATION STRUCTURES; EXPERIMENTAL OBSERVATION; HIGH DENSITY; MECHANICAL RESPONSE; SINGLE CRYSTAL COPPER; SIZE EFFECTS; THREE DIMENSIONAL FINITE ELEMENTS;

DISLOCATIONS (CRYSTALS); FINITE ELEMENT METHOD; MAGNETIC FILMS; PASSIVATION; PLASTICITY; SINGLE CRYSTALS; STRAIN HARDENING; THIN FILMS;

THREE DIMENSIONAL;

EID: 77951642536     PISSN: 09650393     EISSN: 1361651X     Source Type: Journal    
DOI: 10.1088/0965-0393/18/4/045012     Document Type: Article

References (31)

1. Hall E O 1951 The deformation and ageing of mild steel Proc. Phys. Soc. Lond. 64 747-53
2. Petch N J 1953 Cleavage strength of polycrystals J. Iron Steel Inst. 174 25-28
3. Espinosa H D, Prorok B C and Peng B 2004 Plasticity size effects in free-standing submicron polycrystalline fcc films subjected to pure tension J. Mech. Phys. Solids 52 667-89
4. Xiang Y, Tsui T Y and Vlassak J J 2006 The mechanical properties of freestanding electroplated cu thin films J. Mater. Res. 21 1607-18 (Pubitemid 44080958)
5. Venkaltraman R and Bravman C 1992 Separation of film thickness and grain boundary strengthening in Al thin films on Si J. Mater. Res. 7 2040-8
6. Gruber B A, Bohm J, Onuseit F, Wanner A, Spolenak R and Arzt E 2008 Size effects on yield strength and strain hardening fro ultra-thin cu films with and without passivation: a study by synchrotron and bulge test techniques Acta Metall. 56 2318-35
7. Baker S P 2001 Plastic deformation and strength of materials in small dimensions Mater. Sci. Eng. A 319-321 16-23
8. Hemker K J and Sharpe W N 2007 Microscale characterization of mechanical properties Annu. Rev. Mater. Sci. 37 93-126
9. Matthews J W, Mader S and Light T B 1970 Accomodation of misfit across the interface between crystals of semiconducting element compounds J. Appl. Phys. 41 3800-4
10. Freund L B 1990 A criterion for arrest of a threading dislocation in a strained epitaxial layer due to an interface misfit dislocation in its path J. Appl. Phys. 68 2073-80
11. Nix W D 1998 Yielding and strain hardening of thin metal films on substrates Scr. Mater. 39 545-54
12. Nicola L, Needleman A and Van der Giessen E 2003 Discrete dislocation analysis of size effects in thin films J. Appl. Phys. 93 5920-8
13. Arsenlis A, Parks D M, Becker R and Bulatov V V 2004 On the evolution of crystallographic dislocation density in non-homogeneously deforming crystals J. Mech. Phys. Solids 52 1213-46
14. Koslowski M 2007 Scaling laws in plastic deformation Phil. Mag. 87 1175-84 (Pubitemid 46278897)
15. Hunter A and Koslowski M 2008 Direct calculation of material parameters for gradient plasticity J. Mech. Phys. Solids 56 3181-90
16. Minor A M, Lilleoden E T, Stach E A and Morris J W Jr 2004 Direct observation of incipient plasticity during indentation of Al J. Mater. Res. 19 176-82
17. Wang L and Prorok B C 2008 Characterization of the strain rate dependent behavior of nanocrystalline gold films J. Mater. Res. 23 55-65 (Pubitemid 351167413)
18. Chasiotis I, Bateson C, Timpano K, McCarthy A S, Barker N S and Stanec J R 2007 Strain rate effects on the mechanical behavior of nanocrystalline Au films Thin Solid Films 515 3183-9 (Pubitemid 46137985)
19. Asaro R J 1983 Micromechanics of crystals and polycrystals Adv. Appl. Mech. 23 1-115
20. Cuitino A M and Ortiz M 1993 Computational modeling of single crystals Modelling Simul. Mater. Sci. Eng. 1 255-63
21. Nix W D and Gao H 1997 Indentation size effects in crystalline materials: A law for strain gradient plasticity J. Mech. Phys. Solids 46 422-5 (Pubitemid 128394207)
22. Fleck N A and Hutchinson J W 1997 Strain gradient plasticity Adv. Appl. Mech. 33 296-358
23. Stolken J S and Evans A G 1998 Microbend test method for measuring the plasticity length scale Acta Mater. 46 5109-15
24. Acharya A and Bassani J L 2000 Lattice incompatibility and a gradient theory of crystal plasticity J. Mech. Phys. Solids 48 1565-95
25. Gurtin M E 2002 A gradient theory of single-crystal viscoplasticity that accounts for geometrically necessary dislocations J. Mech. Phys. Solids 50 5-32
26. Franciosi P and Zaoui A 1982 Multislip in f.c.c. crystals: A theoretical approach compared with experimental data Acta Metall. 30 1627 (Pubitemid 12564487)
27. Koslowski M, Cuitĩo A and Ortiz M 2002 A phase-field theory of dislocations dynamics, strain hardening and hysteresis in ductile single crystals J. Mech. Phys. Solids 50 2597-635 (Pubitemid 35152374)
28. Garroni A and Muller S 2006 A variational model for dislocations in the line tension limit Arch. Ration. Mech. Anal. 181 535-78 (Pubitemid 43992634)
29. Focardo M and Garroni A 2007 A 1D macroscopic phase field model for dislocations and second order γ-limit Multiscale Modeling Simul. 6 1098-124
30. Lee J and Sauter Mack A 1998 Finite element simulation of a stress history during the manufactering process of thin film stacks in VLSI structures IEEE Trans. Semicond. Manuf. 11 458-64 (Pubitemid 128742384)
31. Hirth J P and Lothe J 1968 Theory of Dislocations (New York: McGraw-Hill)