An implicit finite element method for simulating inhomogeneous deformation and shear bands of amorphous alloys based on the free-volume model

Modelling and Simulation in Materials Science and Engineering

Volumn 14, Issue 8, 2006, Pages 1329-1345

  Gao, Y F ^a,b  

^a University of Tennessee   (United States)

^b OAK RIDGE NATIONAL LABORATORY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

FINITE ELEMENT METHOD; NONLINEAR EQUATIONS; PLASTIC DEFORMATION; PLASTIC FLOW; PLASTICITY; SHEAR DEFORMATION; VISCOSITY;

MATERIAL TANGENTS; NEWTON RAPHSON METHODS; PLASTIC FLOW EQUATIONS; SHEAR BANDS;

AMORPHOUS ALLOYS;

EID: 33846079620     PISSN: 09650393     EISSN: 1361651X     Source Type: Journal    
DOI: 10.1088/0965-0393/14/8/004     Document Type: Article

References (25)

1. Johnson W L 1999 Bulk glass-forming metallic alloys: science and technology MRS Bull. 24 42-56
2. Inoue A 2000 Stabilization of metallic supercooled liquid and bulk amorphous alloys Acta Mater. 48 279-306
3. 22.5 metallic glass matrix composites Acta Mater. 46 6089-102
4. Hays C C, Kim C P and Johnson W L 2000 Microstructure controlled shear band pattern formation and enhanced plasticity of bulk metallic glasses containing in situ formed ductile phase dendrite dispersions Phys. Rev. Lett. 84 2901-4
5. Fan C, Ott R T and Hufnagel T C 2002 Metallic glass matrix composite with precipitated ductile reinforcement Appl. Phys. Lett. 81 1020-2
6. Ott R T, Sansoz F, Molinari J F, Almer J, Ramesh K T and Hufnagel T C 2005 Micromechanics of deformation of metallic-glass-matrix composites from in situ synchrotron strain measurements and finite element modeling Acta Mater. 53 1883-93
7. Lee J-C, Kim Y-C, Ahn J P and Kim H S 2005 Enhanced plasticity in a bulk amorphous matrix composite: macroscopic and microscopic viewpoint studies Acta Mater. 53 129-39
8. Jiang W H and Atzmon M 2003 Rate dependence of serrated flow in a metallic glass J. Mater. Res. 18 755-7
9. Schuh C A, Argon A S, Nieh T G and Wadsworth J 2003 The transition from localized to homogeneous plasticity during nanoindentation of an amorphous metal Phil. Mag. 83 2585-97
10. Jiang W H, Fan G J, Liu F X, Wang G Y, Choo H and Liaw P K 2006 Rate dependence of shear banding and serrated flows in a bulk metallic glass J. Mater. Res. 21 2164-7
11. Yang B, Liaw P K, Wang G Y, Morrison M L, Liu C-T, Buchanan R A and Yokoyama Y 2004 In situ thermographic observation of mechanical damage in bulk-metallic glasses during fatigue and tensile experiments Intermetallics 12 1265-74
12. Cohen M H and Turnbull D 1959 Molecular transport in liquids and glasses J. Chem. Phys. 31 1164-9
13. Spaepen F 1977 A microscopic mechanism for steady state inhomogeneous flow in metallic glasses Acta Metall. 25 407-15
14. Argon A S 1979 Plastic deformation in metallic glass Acta Metall. 27 47-58
15. Steif P S, Spaepen F and Hutchinson J W 1982 Strain localization in amorphous metals Acta Metall. 30 447-55
16. Huang R, Suo Z, Prevost J H and Nix W D 2002 Inhomogeneous deformation in metallic glasses J. Mech. Phys. Solids 50 1011-27
17. ABAQUS 2002 V6.3 user's manual. ABAQUS Inc. Pawtucket, RI USA
18. Needleman A 1988 Material rate dependence and mesh sensitivity on localization problems Comput. Methods Appl. Mech. Eng. 67 69-86
19. Gao Y F and Bower A F 2004 A simple technique for avoiding convergence problems in finite element simulations of crack nucleation and growth on cohesive interfaces Modelling Simul. Mater. Sci. Eng. 12 453-63
20. Yang B, Riester L and Nieh T G 2006 Strain hardening and recovery in a bulk metallic glass under nanoindentation Scr. Mater. 54 1277-80
21. Anand L and Su C 2005 A theory for amorphous viscoplastic materials undergoing finite deformations, with application to metallic glasses J. Mech. Phys. Solids 53 1362-96
22. Steif P S 1983 Ductile versus brittle behavior of amorphous metals J. Mech. Phys. Solids 31 359-88
23. Yang B, Liu C T, Nieh T G, Morrison M L, Liaw P K and Buchanan R A 2006 Localized heating and fracture criterion for bulk metallic glasses J. Mater. Res. 21 915-22
24. Qu S, Huang Y, Jiang H, Liu C, Wu P D and Hwang K C 2004 Fracture analysis in the conventional theory of mechanism-based strain gradient (CMSG) plasticity Int. J. Fract. 129 199-220
25. Abu Al-Ru R K and Voyiadjis G Z 2005 A direct finite element implementation of the gradient-dependent theory Int. J. Numer. Meth. Eng. 63 603-29