Particle displacements in the elastic deformation of amorphous materials: local fluctuations vs. non-affine field
arXiv:cond-mat/0610518 · doi:10.1209/0295-5075/80/16003
Abstract
We study the local disorder in the deformation of amorphous materials by decomposing the particle displacements into a continuous, inhomogeneous field and the corresponding fluctuations. We compare these fields to the commonly used non-affine displacements in an elastically deformed 2D Lennard-Jones glass. Unlike the non-affine field, the fluctuations are very localized, and exhibit a much smaller (and system size independent) correlation length, on the order of a particle diameter, supporting the applicability of the notion of local "defects" to such materials. We propose a scalar "noise" field to characterize the fluctuations, as an additional field for extended continuum models, e.g., to describe the localized irreversible events observed during plastic deformation.
arXiv commentMinor corrections to match the published version
References in corpus (15)
- Dynamics of Viscoplastic Deformation in Amorphous Solids
- Amorphous Systems in Athermal, Quasistatic Shear
- Continuum limit of amorphous elastic bodies: A finite-size study of low frequency harmonic vibrations
- Plastic Response of a 2D Lennard-Jones amorphous solid: Detailed analysis of the local rearrangements at very slow strain-rate
- Turbulent-like fluctuations in quasistatic flow of granular media
- Continuum limit of amorphous elastic bodies (III): Three dimensional systems
- Critical scaling in linear response of frictionless granular packings near jamming
- Inhomogeneous elastic response of silica glass
- On the Microscopic Foundations of Elasticity
- An extremal model for amorphous media plasticity
- Nonaffine Correlations in Random Elastic Media
- Slow flows of yield stress fluids: complex spatio-temporal behaviour within a simple elasto-plastic model
- Continuum limit of amorphous elastic bodies (II): Response to a point source
- Scale separation in granular packings: stress plateaus and fluctuations
- Reorganization of a dense granular assembly: the `unjamming response function'
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- Contact angle entropy and macroscopic friction in non-cohesive two dimensional granular packings
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- Correlations in the shear flow of athermal amorphous solids: A principal component analysis
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