Odd Dipole Screening in Radial Inflation

TL;DR

This paper investigates the phenomenon of odd dipole screening in the elastic response of amorphous solids with radial cavities, emphasizing the role of irreversibility and chiral symmetry breaking, supported by analytical solutions and simulations.

Contribution

It introduces the concept of odd dipole screening in elastic fields, accounting for irreversibility and chiral symmetry breaking, with analytical solutions and experimental suggestions.

Findings

Displacement fields are affected by odd dipole screening.

Analytical solutions match numerical simulations.

Proposed experimental tests for the theory.

Abstract

The inflation of an inner radial (or spherical) cavity in an amorphous solids confined in a disk (or a sphere), served as a fruitful case model for studying the effects of plastic deformations on the mechanical response. It was shown that when the field associated with Eshelby quadrupolar charges is non-uniform, the displacement field is riddled with dipole charges that screen elasticity, reminiscent of Debye monopoles screening in electrostatics. In this paper we look deeper into the screening phenomenon, taking into account the consequences of irreversibility that are associated with the breaking of Chiral symmetry. We consider the equations for the displacement field with the presence of ``Odd Dipole Screening", solve them analytically and compare with numerical simulations. Suggestions how to test the theory in experiments are provided.