Particle-scale origin of quadrupolar non-affine displacement fields in granular solids
arXiv:2507.05038 · doi:10.1103/42dk-54hl
Abstract
In this work, we identify the local structural defects that control the non-affine displacement fields in jammed disk packings subjected to athermal, quasistatic (AQS) simple shear. While complex non-affine displacement fields typically occur during simple shear, isolated effective quadrupoles are also observed and their probability increases with increasing pressure. We show that the emergence of an isolated effective quadrupole requires the breaking of an interparticle contact that is aligned with low-frequency, spatially extended vibrational modes. Since the Eshelby inhomogeneity problem gives rise to quadrupolar displacement fields in continuum materials, we reformulate and implement Eshelby's equivalent inclusion method (EIM) for jammed disk packings. Using EIM, we show that we can reconstruct the non-affine displacement fields for jammed disk packings in response to applied shear as a sum of discrete Eshelby-like defects that are caused by mismatches in the local stiffnesses of triangles formed from Delaunay triangulation of the disk centers.
References in corpus (24)
- Dynamics of Viscoplastic Deformation in Amorphous Solids
- Amorphous Systems in Athermal, Quasistatic Shear
- Vibrational modes identify soft spots in a sheared disordered packing
- Vibrations and diverging length scales near the unjamming transition
- Continuum limit of the vibrational properties of amorphous solids
- Universal Breakdown of Elasticity at the Onset of Material Failure
- Microscopic Mechanism of Shear Bands in Amorphous Solids
- Universal non-phononic density of states in 2D, 3D and 4D glasses
- Pinching a glass reveals key properties of its soft spots
- Equilibrating temperature-like variables in jammed granular subsystems
- Plasticity in amorphous solids is mediated by topological defects in the displacement field
- Reversible plasticity in amorphous materials
- Mapping the jamming transition of bidisperse mixtures
- Elastic consequences of a single plastic event: towards a realistic account of structural disorder and shear wave propagation in models of flowing amorphous solids
- Orientation of plastic rearrangements in two-dimensional model glasses under shear
- Eshelby inclusions in granular matter: theory and simulations
- Experimental identification of topological defects in 2D colloidal glass
- Experimental observations of marginal criticality in granular materials
- Extracting the properties of quasilocalized modes in computer glasses: Long-range continuum fields, contour integrals and boundary effects
- Contact network changes in ordered and disordered disk packings
- Local and global measures of the shear moduli of jammed disk packings
- Experimental observation of gapped shear waves and liquid-like to gas-like dynamical crossover in active granular matter
- Elastic multipole method for describing linear deformation of infinite 2D solid structures with circular holes and inclusions
- Universal mechanical response of metallic glasses during strain-rate-dependent uniaxial compression