Discontinuous yielding transition of amorphous materials with low bulk modulus

The yielding transition of amorphous materials is studied with a two-dimensional Hamiltonian model that allows both shear and volume deformations. The model is investigated as a function of the relative value of the bulk modulus B with respect to the shear modulus μ . When the ratio B / μ is small e...

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Bibliographic Details
Published in:Journal of statistical mechanics 2021-12, Vol.2021 (12), p.123201
Main Author: Jagla, E A
Format: Article
Language:English
Subjects:
dynamical processes
elasticity
numerical simulations
plasticity
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Summary:The yielding transition of amorphous materials is studied with a two-dimensional Hamiltonian model that allows both shear and volume deformations. The model is investigated as a function of the relative value of the bulk modulus B with respect to the shear modulus μ . When the ratio B / μ is small enough, the yielding transition becomes discontinuous, yet reversible. If the system is driven at constant strain rate in the coexistence region, a spatially localized shear band is observed while the rest of the system remains blocked. The crucial role of volume fluctuations in the origin of this behavior is clarified in a mean field version of the model.
ISSN:1742-5468
1742-5468
DOI:10.1088/1742-5468/ac3d36