Strain localization and anisotropic correlations in a mesoscopic model of amorphous plasticity

Comptes Rendus - Mecanique

Volumn 340, Issue 4-5, 2012, Pages 275-288

  Talamali, Mehdi ^a   Petäjä, Viljo ^b   Vandembroucq, Damien ^a   Roux, Stéphane ^a  

^a CNRS   (France)

^b SAINT GOBAIN RECHERCHE   (France)

Author keywords

Amorphous plasticity; Mesoscopic model; Plastic deformation

Indexed keywords

ANISOTROPY; MECHANICAL PROPERTY; NUMERICAL MODEL; PLASTIC DEFORMATION; PLASTICITY; SLIP; STEADY-STATE EQUILIBRIUM; STRAIN ANALYSIS; STRESS ANALYSIS;

EID: 84860700811     PISSN: 16310721     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.crme.2012.02.010     Document Type: Short Survey

References (68)

1. Taylor E.W. Plastic deformation of optical glass. Nature 1949, 163:323.
2. Marsh D.M. Plastic flow in glass. Proc. Roy. Soc. A 1964, 279:420.
3. Ernsberger F.M. Role of densification in deformation of glasses under point loading. J. Am. Ceram. Soc. 1968, 51:545-547.
4. Peter K.W. Densification and flow phenomena of glass in indentation experiments. J. Non-Cryst. Sol. 1970, 5:103-115.
5. Schuh C.A., Hufnagel T.C., Ramamurty U. Mechanical behavior of amorphous alloys. Acta Mat. 2007, 55:4067-4109.
6. Zhang J., Aimedieu P., Hild F., Roux S., Zhang T. Complexity of shear localization in a Zr-based bulk metallic glass. Scripta Mat. 2009, 61:1145-1148.
7. Lewandowski J.J., Greer A.L. Temperature rise at shear bands in metallic glasses. Nat. Mater. 2006, 5:15-18.
8. Argon A.S. Plastic deformation in metallic glasses. Acta Metall. 1979, 27:47-58.
9. Falk M.L., Langer J.S. Dynamics of viscoplastic deformation of amorphous solids. Phys. Rev. E 1998, 57:7192.
10. Rodney D., Tanguy A., Vandembroucq D. Modeling the mechanics of amorphous solids at different length and time scales. Modell. Simul. Mater. Sci. Eng. 2011, 19:083001.
11. Baret J.-C., Vandembroucq D., Roux S. An extremal model of amorphous plasticity. Phys. Rev. Lett. 2002, 89:195506.
12. Eshelby J.D. The determination of the elastic field of an ellipsoidal inclusion, and related problems. Proc. Roy. Soc. A 1957, 241:376.
13. Leonforte F., Tanguy A., Wittmer J.P., Barrat J.-L. Continuum limit of amorphous elastic bodies I: A finite-size study of low-frequency harmonic vibrations. Phys. Rev. B 2002, 66:174205.
14. Varnik F., Bocquet L., Barrat J.-L., Berthier L. Shear localization in a model glass. Phys. Rev. Lett. 2003, 90:095702.
15. Maloney C.E., Lemaître A. Subextensive scaling in the athermal quasistatic limit of amorphous matter in plastic shear flow. Phys. Rev. Lett. 2004, 93:016001.
16. Maloney C.E., Lemaître A. Universal breakdown of elasticity at the onset of material failure. Phys. Rev. Lett. 2004, 93:195501.
17. Leonforte F., Tanguy A., Wittmer J.P., Barrat J.-L. Continuum limit of amorphous elastic bodies II: Linear response to a point source force. Phys. Rev. B 2004, 70:014203.
18. Shi Y.F., Falk M.L. Strain localization and percolation of stable structure in amorphous solids. Phys. Rev. Lett. 2005, 95:095502.
19. Leonforte F., Boissiere R., Tanguy A., Wittmer J.P., Barrat J.-L. Continuum limit of amorphous elastic bodies III: Three-dimensional systems. Phys. Rev. B 2005, 72:224206.
20. Maloney C.E., Lemaître A. Amorphous systems in athermal, quasistatic shear. Phys. Rev. E 2006, 74:016118.
21. Tanguy A., Leonforte F., Barrat J.-L. Plastic response of a 2D Lennard-Jones amorphous solid: Detailed analysis of the local rearrangements at very slow strain rate. Eur. Phys. J. E 2006, 20:355.
22. Shi Y.F., Katz M.B., Li H., Falk M.L. Evaluation of the disorder temperature and free volume formalisms via simulations of shear banding in amorphous solids. Phys. Rev. Lett. 2007, 98:185505.
23. Maloney C.E., Robbins M.O. Evolution of displacements and strains in sheared amorphous solids. J. Phys. Cond. Matt. 2008, 20:244128.
24. Tsamados M., Tanguy A., Leonforte F., Barrat J.-L. On the study of local stress rearrangements during quasistatic plastic shear of a model glass: do local stress components contain enough information?. Eur. Phys. J. E 2008, 26:283-293.
25. Tsamados M., Tanguy A., Goldenberg C., Barrat J.-L. Local elasticity map and plasticity in a model Lennard-Jones glass. Phys. Rev. E 2009, 80:026112.
26. Maloney C.E., Robbins M.O. Anisotropic power law strain correlations in sheared amorphous 2D solids. Phys. Rev. Lett. 2009, 102:225502.
27. Lemaître A., Caroli C. Rate-dependent avalanche size in athermally sheared amorphous solids. Phys. Rev. Lett. 2009, 103:065501.
28. Lerner E., Procaccia I. Scaling theory for steady-state plastic flows in amorphous solids. Phys. Rev. E 2009, 80:026128.
29. Varnik F., Bocquet L., Barrat J.-L. A study of the static yield stress in a binary Lennard-Jones glass. J. Chem. Phys. 2004, 120:2788-2801.
30. Shi Y.F., Falk M.L. Atomic scale simulations of strain localization in three-dimensional model amorphous solids. Phys. Rev. B 2006, 73:214201.
31. Lund A.C., Schuh C.A. Yield surface of a simulated metallic glass. Acta Mat. 2003, 51:5399-5411.
32. Demkowicz M., Argon A. High-density liquidlike component facilitates plastic flow in a model amorphous silicon system. Phys. Rev. Lett. 2004, 93:025505.
33. Demkowicz M.J., Argon A.S. Liquidlike atomic environments act as plasticity carriers in amorphous silicon. Phys. Rev. B 2005, 72:245205.
34. Demkowicz M.J., Argon A.S. Autocatalytic avalanches of unit inelastic shearing events are the mechanism of plastic deformation in amorphous silicon. Phys. Rev. B 2005, 72:245206.
35. Talati M., Albaret T., Tanguy A. Atomistic simulations of elastic and plastic properties in amorphous silicon. Europhys. Lett. 2009, 86:66005.
36. Rottler J., Robbins M.O. Yield conditions for deformation of amorphous polymer glasses. Phys. Rev. E 2001, 64:051801.
37. Rottler J., Robbins M.O. Shear yielding of amorphous glassy solids: Effect of temperature and strain rate. Phys. Rev. E 2003, 68:011507.
38. Leonforte F., Tanguy A., Barrat J.-L. Inhomogeneous elastic response of silica glass. Phys. Rev. Lett. 2006, 97:055501.
39. Rountree C.L., Vandembroucq D., Talamali M., Bouchaud E., Roux S. Plasticity-induced structural anisotropy of silica glass. Phys. Rev. Lett. 2009, 102:195501.
40. Delogu F. Identification and characterization of potential shear transformation zones in metallic glasses. Phys. Rev. Lett. 2008, 100:255901.
41. Rodney D., Schuh C.A. Distribution of thermally activated plastic events in a flowing glass. Phys. Rev. Lett. 2009, 102:235503.
42. Goldenberg C., Tanguy A., Barrat J.-L. Particle displacements in the elastic deformation of amorphous materials: Local fluctuations vs. non-affine field. Europhys. Lett. 2007, 80:16003.
43. Lerner E., Procaccia I. Locality and nonlocality in elastoplastic responses of amorphous solids. Phys. Rev. E 2009, 79:066109.
44. Bulatov V.V., Argon A.S. A stochastic model for continuum elasto-plastic behavior. I. Numerical approach and strain localization. Modell. Simul. Mater. Sci. Eng. 1994, 2:167.
45. Bulatov V.V., Argon A.S. A stochastic model for continuum elasto-plastic behavior. II. A study of the glass transition and structural relaxation. Modell. Simul. Mater. Sci. Eng. 1994, 2:185.
46. Bulatov V.V., Argon A.S. A stochastic model for continuum elasto-plastic behavior. III. Plasticity in ordered versus disordered solids. Modell. Simul. Mater. Sci. Eng. 1994, 2:203.
47. Homer E.R., Schuh C.A. Mesoscale modeling of amorphous metals by shear transformation zone dynamics. Acta Mat. 2009, 57:2823-2833.
48. Chen K., Bak P., Obukhov S.P. Self-organized criticality in a crack-propagation model of earthquakes. Phys. Rev. A 1991, 43:625-630.
49. Ben-Zion Y., Rice J.R. Earthquake failure sequences along a cellular fault zone in a three-dimensional elastic solid containing asperity and nonasperity regions. J. Geophys. Res. 1993, 98:14109-14131.
50. Narayan O., Fisher D.S. Threshold critical dynamics of driven interfaces in random media. Phys. Rev. B 1993, 48:7030-7042.
51. Kardar M. Nonequilibrium dynamics of interfaces and lines. Phys. Rep. 1998, 301:85-112.
52. Picard G., Ajdari A., Lequeux F., Bocquet L. Slow flows of yield stress fluids: complex spatio-temporal behaviour within a simple elasto-plastic model. Phys. Rev. E 2005, 71:010501(R).
53. Bocquet L., Ajdari A. Kinetic theory of plastic flow in soft glassy materials. Phys. Rev. Lett. 2009, 103:036001.
54. Lemaître A., Caroli C. Dynamical noise and avalanches in quasi-static flow of amorphous materials arxiv:cond-mat/0609689.
55. Sollich P., Lequeux F., Hébraud P., Cates M.E. Rheology of soft glassy materials. Phys. Rev. Lett. 1997, 78:2020-2023.
56. Jagla E.A. Strain localization driven by structural relaxation in sheared amorphous solids. Phys. Rev. E 2007, 76:046119.
57. Takeshi O., Sekimoto K. Internal stress in a model elastoplastic fluid. Phys. Rev. Lett. 2005, 95:108301.
58. Zaiser M., Moretti P. Fluctuation phenomena in crystal plasticity - a continuum model. J. Stat. Mech. 2005, P08004:79-97.
59. Dahmen K.A., Ben-Zion Y., Uhl J.T. Micromechanical model for deformation in solids with universal predictions for stress-strain curves and slip avalanches. Phys. Rev. Lett. 2009, 102:175501.
60. Berveiller M., Zaoui A. Modeling of the plastic behavior of inhomogeneous media. J. Eng. Mater. Tech. 1984, 106:295-298.
61. Zaoui A. Continuum micromechanics: Survey. J. Eng. Mech. 2002, 128:808-816.
62. MacNeill D., Rottler J. From macroscopic yield criteria to atomic stresses in polymer glasses. Phys. Rev. E 2010, 81:011804.
63. Talamali M., Petäjä V., Vandembroucq D., Roux S. Path independent integrals to identify two-dimensional localized plastic events. Phys. Rev. E 2008, 78:016109.
64. Vandembroucq D., Deschamps T., Coussa C., Perriot A., Barthel E., Champagnon B., Martinet C. Density hardening plasticity and mechanical aging of silica glass under pressure: A Raman spectroscopic study. J. Phys. Cond. Mat. 2008, 20:485221.
65. Packard C.E., Witmer L.M., Schuh C.A. Hardening of a metallic glass during cyclic loading in the elastic range. Appl. Phys. Lett. 2008, 92:171911.
66. Kardar M., Zhang Y.C. Scaling of directed polymers in random media. Phys. Rev. Lett. 1987, 58:2087-2090.
67. Talamali M., Petäjä V., Vandembroucq D., Roux S. Avalanches, precursors and finite size fluctuations in a mesoscopic model of amorphous plasticity. Phys. Rev. E 2011, 84:016115.
68. Vandembroucq D., Roux S. Mechanical noise dependent aging and shear-banding behavior in a mesoscopic model of amorphous plasticity. Phys. Rev. B 2011, 84:134210.