Wall effects on spatial correlations of non-affine strain in a 3D model glass

Hassani, Muhammad; Engels, P.; Varnik, Fathollah

doi:10.1209/0295-5075/121/18005

Cited by 6 publications

(13 citation statements)

References 47 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…This adds a correction to Eq. ( 18) for the elastic propagator, which can be calculated via a method of images (Nicolas and Barrat, 2013a), and leads to a faster local relaxation for plastic events near walls [also see (Hassani et al, 2018)]. Combined with appropriate dynamical rules, the model semi-quantitatively reproduces the shear rate fluctuations δ γ(r) observed by Jop et al (2012) in the plug as well as the moderate deviations of the velocity profiles from the bulk predictions witnessed with smooth walls, provided that the EPM block size corresponds to around 2 droplet diameters (see Fig.…”

Section: Cooperative Effects Under Inhomogeneous Drivingmentioning

confidence: 99%

Deformation and flow of amorphous solids: Insights from elastoplastic models

et al. 2018

View full text Add to dashboard Cite

CONTENTSFrequently used notations 3 FIG. 1 Overview of amorphous solids. From left to right, top row : cellular phone case made of metallic glass (1); toothpaste (2); mayonnaise (3); coffee foam (4); soya beans (5). Second row : a transmission electron microscopy (TEM) image of a fractured bulk metallic glass (Cu50Zr45Ti5) by X. Tong et. al (Shanghai University, China); TEM image of blend (PLLA/PS) nanoparticles obtained by miniemulsion polymerization, from L. Becker Peres et al. (UFSC, Brazil); emulsion of water droplets in silicon oil observed with an optical microscope by N. Bremond (ESPCI Paris); a soap foam filmed in the lab by M. van Hecke (Leiden University, Netherlands); thin nylon cylinders of different diameters pictured with a camera, from T. Miller et al. (University of Sydney, Australia). The white scale bars are approximate. Just below, a chart of different amorphous materials, classified by the size and the damping regime of their elementary particles. At the bottom: some popular modeling approaches, arranged according to the length scales of the materials for which they were originally developed. STZ stands for the shear transformation zone theory of Langer (2008), and SGR for the soft glassy rheology theory of Sollich et al. (1997).

show abstract

Section: Cooperative Effects Under Inhomogeneous Drivingmentioning

confidence: 99%

Deformation and flow of amorphous solids: Insights from elastoplastic models

et al. 2018

View full text Add to dashboard Cite

show abstract

“…In order to reduce the statistical noise, the thus obtained displacement field is averaged over a length scale, w, usually of the order of the nearest neighbor distance. This coarse-graining process is performed via u CG (r, t) = i u(r i , t)φ(||r − r i ||)/ j φ(||r − r j ||), using the coarsegraining function, φ(r) = 1 (πw 2 ) 3/2 e −(r/w) 2 [10,31]. The sum is performed for all the particles within a sphere of radius ∼ w around point r. The strain tensor is obtained as ε(r, t) = (∇u CG (r, t) + (∇u CG (r, t)) )/2.…”

mentioning

confidence: 99%

“…Under steady shear, glasses show evidence of long-range strain correlations, resulting from the elastic coupling of local shear transformation zones [5]. This leads to a strongly correlated strain pattern which resembles the Eshelby solution around a presheared spherical inclusion in a homogeneous isotropic elastic medium [6][7][8][9][10]. Relevance of these correlations for shear banding is also discussed in the literature [7,[11][12][13][14][15].…”

mentioning

confidence: 99%

Long-range strain correlations in 3D quiescent glass forming liquids

Hassani¹,

Zirdehi²,

Kok³

et al. 2018

EPL

View full text Add to dashboard Cite

We present a quantitative study of strain correlations in quiescent supercooled liquids and glasses. Recent two-dimensional computer simulations and experiments indicate that even supercooled liquids exhibit long-lived, long-range strain correlations. Here we investigate this issue in three dimensions via experiments on hard sphere colloids and molecular dynamics simulations of a glass forming binary Lennard Jones mixture. Both in the glassy state and in the supercooled regime, strain correlations are found to decay with a 1/r 3 power-law behavior, reminiscent of elastic fields around an inclusion. Moreover, theoretical predictions on the time dependence of the correlation amplitude are in line with the results obtained from experiments and simulations. It is argued that the size of the domain, which exhibits a cooperative strain pattern in a supercooled liquid, is determined by the product of the speed of sound with the structural relaxation time. While this length is of the order of nanometers in the normal liquid state, it grows to macroscale when approaching the glass transition.

show abstract

“…As seen from the corresponding panels of Fig. 3, the correlation of non-affine strain first follows an exponential decay and then switches over to the well-known power-law at longer distances [10,23].…”

Section: Exponential Decay At Intermediate Lengthsmentioning

confidence: 80%

A crossover in spatio-temporal correlations of strain fluctuations in glass forming liquids

Hassani¹,

Bruns²,

Varnik³

2020

J. Stat. Mech.

View full text Add to dashboard Cite

Via molecular dynamics simulations of a generic glass former in the liquid state, it is shown that spatial correlations of strain fluctuations exhibit a crossover from the well-established power-law ∼ 1/r 3 -decay at long wavelengths to an exponential behavior, ∼ exp(−r/lc) at intermediate distances. The characteristic length of the exponential decay grows both with temperature and time via, l 2 c ∝ D(T ) t, with D(T ) being the temperature-dependent diffusion coefficient. This suggests that the crossover between the power-law and exponential decays is governed by a diffusion process.

show abstract

Wall effects on spatial correlations of non-affine strain in a 3D model glass

Cited by 6 publications

References 47 publications

Deformation and flow of amorphous solids: Insights from elastoplastic models

Deformation and flow of amorphous solids: Insights from elastoplastic models

Long-range strain correlations in 3D quiescent glass forming liquids

A crossover in spatio-temporal correlations of strain fluctuations in glass forming liquids

Contact Info

Product

Resources

About