Yielding transition of a two dimensional glass former under athermal cyclic shear deformation

Bhaumik, Himangsu; Foffi, Giuseppe; Sastry, Srikanth

doi:10.48550/arxiv.2108.07497

Cited by 3 publications

(4 citation statements)

References 70 publications

(134 reference statements)

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“…Recent years have witnessed significant activity in developing a statistical mechanical description of these phenomena [2][3][4][5]. Yielding behaviour in model amorphous solids has been investigated experimentally [6][7][8], through computer simulations [9][10][11][12][13][14][15][16][17][18][19][20][21][22][23][24][25][26], and theoretical investigations including the study of elastoplastic models and corresponding mean field theories [4,13,[27][28][29][30][31][32][33]. These investigations have largely focused on the response to uniform shear, but several investigations have explored yielding behaviour under cyclic deformation [11, 12, 19, 21, 23-26, 29, 31-35].…”

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Yielding behavior of glasses under asymmetric cyclic deformation

Adhikari¹,

Mungan²,

Sastry³

2022

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We consider the yielding behaviour of a model glass subjected to asymmetric cyclic shear deformation, wherein the applied strain varies between 0 and a maximum value γmax, and study its dependence on the degree of annealing of the glass and system size. The yielding behaviour of well annealed glasses (unlike poorly annealed glasses) display striking differences from the symmetric case, with the emergence of an intermediate strain regime with substantial plasticity but no yielding. The observed behaviour is satisfactorily captured by a recently proposed model. For larger system sizes, the intermediate strain regime narrows, leading to a remarkable reversal of yield strain with annealing.

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Yielding behavior of glasses under asymmetric cyclic deformation

Adhikari¹,

Mungan²,

Sastry³

2022

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“…energy at the bottom of each minimum plus elastic energy. The main features found in MD simulations [22][23][24] are reproduced in Fig. 2.…”

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“…Behaviour under oscillatory shear also shows intriguing dependencies on the initial degree of annealing. Atomistic simulations of model glasses [22][23][24] reveal the appearance of a threshold initial energy. Samples prepared above this threshold show mechanical annealing up to a common strain amplitude, the yield point, where the energy achieves the threshold value irrespectively of the initial condition.…”

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Mean field theory of yielding under oscillatory shear

Parley,

Sastry,

Sollich

2021

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We study a mean field elastoplastic model, embedded within a disordered landscape of local yield barriers, to shed light on the behaviour of athermal amorphous solids subject to oscillatory shear. We show that the model presents a genuine dynamical transition between an elastic and a yielded state, and qualitatively reproduces the dependence on the initial degree of annealing found in particle simulations. For initial conditions prepared below the analytically derived threshold energy, we observe a non-trivial, non-monotonic approach to the yielded state. The timescale diverges as one approaches the yielding point from above, which we identify with the fatigue limit. We finally discuss the connections to brittle yielding under uniform shear.

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“…A summary of the efficiency of the different methods is reported in a recent paper by Richard et al 30 , in which the authors compare the performance of a variety of methods to predict plasticity due to uniform shear deformation. For a 2d glass former, they demonstrated that rearrangements are indeed deeply encoded in the structure 30,31 . At the experimental level, soft colloidal glasses under thermal cycling display high correlation between local rearrangements and local twobody entropy 32 .…”

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Correlation between plastic rearrangements and local structure in a cyclically driven glass

Mitra,

Marin-Aguilar,

Sastry

et al. 2021

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The correlation between local structure and the propensity for structural rearrangements has been widely investigated in glass forming liquids and glasses. In this paper we use the excess two-body entropy S 2 and tetrahedrality n tet as the per-particle local structural order parameters to explore such correlations in a three-dimensional model glass subjected to cyclic shear deformation. We first show that for both liquid configurations and the corresponding inherent structures, local ordering increases upon lowering temperature, signaled by a decrease in the two-body entropy and an increase in tetrahedrality. When the inherent structures, or glasses, are periodically sheared athermally, they eventually reach absorbing states for small shear amplitudes, which do not change from one cycle to the next. Large strain amplitudes result in the the formation of shear bands, within which particle motion is diffusive. We show that in the steady state, there is a clear difference in the local structural environment of particles that will be part of plastic rearrangements during the next shear cycle and that of particles that are immobile. In particular, particles with higher S 2 and lower n tet are more likely to go through rearrangements irrespective of the average energies of the configurations and strain amplitude. For high shear, we find very distinctive local order outside the mobile shear band region, where almost 30% of the particles are involved in icosahedral clusters, contrasting strongly with the fraction of < 5% found inside the shear band.

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Yielding transition of a two dimensional glass former under athermal cyclic shear deformation

Cited by 3 publications

References 70 publications

Yielding behavior of glasses under asymmetric cyclic deformation

Yielding behavior of glasses under asymmetric cyclic deformation

Mean field theory of yielding under oscillatory shear

Correlation between plastic rearrangements and local structure in a cyclically driven glass

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