What question did this study set out to answer?

To characterize the distribution of local stress increments leading to plastic instability and determine universal stability bounds in amorphous solids.

January 1, 2014EPL (Europhysics Letters)Open Access

On the density of shear transformations in amorphous solids

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To characterize the distribution of local stress increments leading to plastic instability and determine universal stability bounds in amorphous solids.
Formulated finite-dimensional theoretical models to analyze the distribution exponent θ of local stress thresholds under non-monotonic elastic interactions.
Computed stability bounds for quadrupolar interactions in two- and three-dimensional systems under quasi-static flow and fast-quench protocols.
Evaluated the Herschel-Bulkley flow exponent across different local dynamical evolution rules.
Demonstrated that stability imposes a lower bound on the distribution exponent θ near saturation, yielding θ ≈ 0.35 in d = 2 and θ ≈ 0.5 in d = 3 for quadrupolar interactions.
Resolved previously unexplained atomistic simulation results in both quasi-static flow and quenched states using the calculated stability exponent values.
Showed that while the stability exponent θ is robust to dynamical details, the Herschel-Bulkley exponent depends directly on the specific choice of dynamical rules.

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Implication

Theoretical modeling reveals scaling laws for mechanical stability in amorphous solids, suggesting universal lower bounds govern plastic deformation across dimensions.

Cite This Study

Lin et al. (2014) studied this question.

synapsesocial.com/papers/6a735e71ac59fbf7804e5669 https://doi.org/10.1209/0295-5075/105/26003

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Implication

Theoretical modeling reveals scaling laws for mechanical stability in amorphous solids, suggesting universal lower bounds govern plastic deformation across dimensions.

On the density of shear transformations in amorphous solids

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Discussion

Implication

Cite This Study

On the density of shear transformations in amorphous solids

Key Points

Discussion

Implication

Cite This Study

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