Viscoelastic and viscoplastic properties of bulk metallic glasses

Gauthier, Catherine; Pelletier, Jean-Marc; Wang, Q.; Blandin, J.J.

doi:10.1016/j.jnoncrysol.2004.08.067

Cited by 10 publications

(17 citation statements)

References 14 publications

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“…In Sec. III we provide a more detailed analysis and additional support for the results announced in [14], where the frequency dependent modulus G(ω) was calculated and compared to the data of [2,9], who performed oscillatory experiments on a wide variety of both hard structural glasses and soft colloidal suspensions.…”

Section: Introductionmentioning

confidence: 69%

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Shear-transformation-zone theory of linear glassy dynamics

Bouchbinder

Langer²

2011

Phys. Rev. E

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We present a linearized shear-transformation-zone (STZ) theory of glassy dynamics in which the internal STZ transition rates are characterized by a broad distribution of activation barriers. For slowly aging or fully aged systems, the main features of the barrier-height distribution are determined by the effective temperature and other near-equilibrium properties of the configurational degrees of freedom. Our theory accounts for the wide range of relaxation rates observed in both structural glasses and soft glassy materials such as colloidal suspensions. We find that the frequency dependent loss modulus is not just a superposition of Maxwell modes. Rather, it exhibits an α peak that rises near the viscous relaxation rate and, for nearly jammed, glassy systems, extends to much higher frequencies in accord with experimental observations. We also use this theory to compute strain recovery following a period of large, persistent deformation and then abrupt unloading. We find that strain recovery is determined in part by the initial barrier-height distribution, but that true structural aging also occurs during this process and determines the system's response to subsequent perturbations. In particular, we find by comparison with experimental data that the initial deformation produces a highly disordered state with a large population of low activation barriers, and that this state relaxes quickly toward one in which the distribution is dominated by the high barriers predicted by the near-equilibrium analysis. The nonequilibrium dynamics of the barrier-height distribution is the most important of the issues raised and left unresolved in this paper.

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Section: Introductionmentioning

confidence: 69%

“…Our principal sources of information about the oscillatory responses of structural and metallic glasses are the papers by Gauthier et al, in particular [2]. These authors show that the functions G(ω), for a wide variety of noncrystalline materials at their glass temperatures, have very similar behaviors.…”

Section: Structural and Metallic Glassesmentioning

confidence: 99%

Shear-transformation-zone theory of linear glassy dynamics

Bouchbinder

Langer²

2011

Phys. Rev. E

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“…The most important way in which these papers differ from the earlier ones is in their introduction of multiple species of STZ's. In [6,7], Bouchbinder and I argued that the STZ's in well equilibrated, low-temperature systems predictably occur with a broad range of internal transition rates, and that the resulting multispecies theory accurately accounts for experimentally observed, frequency-dependent, viscoelastic response functions [19]. In Sec.II of this paper, I briefly summarize the linearized equations of motion for this class of STZ theories.…”

Section: Introductionmentioning

confidence: 99%

Shear-transformation-zone theory of viscosity, diffusion, and stretched exponential relaxation in amorphous solids

Langer

2012

Phys. Rev. E

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The shear-transformation-zone (STZ) theory has been remarkably successful in accounting for broadly peaked, frequency-dependent, viscoelastic responses of amorphous systems near their glass temperatures T_{g}. This success is based on the theory's first-principles prediction of a wide range of internal STZ transition rates. Here, I show that the STZ rate distribution causes the Newtonian viscosity to be strongly temperature dependent; and I propose that it is this temperature dependence, rather than any heterogeneity-induced enhancement of diffusion, that is at least in part responsible for Stokes-Einstein violations near T_{g}. I also show that stretched-exponential relaxation of density fluctuations emerges naturally from the same distribution of STZ transition rates that predicts the viscoelastic behavior. To be consistent with observations of Fickian diffusion near T_{g}, however, an STZ-based diffusion theory somehow must include the cascades of correlated displacement events that are seen in low-temperature numerical simulations.

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“…Our theoretical loss modulus G ′′ (ω) has a peak at the α relaxation rate, and a power law decay of the form ω −ζ for higher frequencies, in quantitative agreement with experimental data.Qualitatively different kinds of amorphous materials -e.g. structural, metallic and colloidal glasses -exhibit remarkable similarities in their linear rheological properties [1,2] despite their enormous range of internal dynamics and intrinsic time scales. In particular, their frequency dependent loss moduli G ′′ (ω) all have peaks that rise near a viscous relaxation rate and drop slowly over many decades of higher frequencies.…”

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confidence: 99%

Linear Response Theory for Hard and Soft Glassy Materials

Bouchbinder

Langer

2011

Phys. Rev. Lett.

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Despite qualitative differences in their underlying physics, both hard and soft glassy materials exhibit almost identical linear rheological behaviors. We show that these nearly universal properties emerge naturally in a shear-transformation-zone (STZ) theory of amorphous plasticity, extended to include a broad distribution of internal thermal-activation barriers. The principal features of this barrier distribution are predicted by nonequilibrium, effective-temperature thermodynamics. Our theoretical loss modulus G ′′ (ω) has a peak at the α relaxation rate, and a power law decay of the form ω −ζ for higher frequencies, in quantitative agreement with experimental data.

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Viscoelastic and viscoplastic properties of bulk metallic glasses

Cited by 10 publications

References 14 publications

Shear-transformation-zone theory of linear glassy dynamics

Shear-transformation-zone theory of linear glassy dynamics

Shear-transformation-zone theory of viscosity, diffusion, and stretched exponential relaxation in amorphous solids

Linear Response Theory for Hard and Soft Glassy Materials

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