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When amorphous solids are strained they display elastic deformation at smallstrain, however, beyond a critical strain they yield and begin to flowplastically. The origin of this plasticity lies in the irreversiblerearrangement of particles. Such rearrangements have been shown to give rise toa long-ranged quadrupolar strain field, similar to Eshebly's sphericalinclusions. However, their spatio-temporal organisation at finite temperaturesand finite shear rate remains unclear. Here, we have investigated the strainfield in sheared colloidal glasses. We show that the strain field inhomogeneous flows can be modelled using a distribution of Eshelby inclusions.In particular, we show that the non-trivial decay of spatial straincorrelations in sheared colloidal glasses is a result of elastic interactionsbetween plastic rearrangements that form at spatially correlated locations.

Modelling of strain fields in sheared colloidal glasses using Eshelby inclusions