Dynamic screening by plasticity in amorphous solids

In recent work it was shown that elasticity theory can break down in amorphous solids subjected to nonuniform static loads. The elastic fields are screened by geometric dipoles; these stem from gradients of the quadrupole field associated with plastic responses. Here we study the dynamical responses...

Full description

Saved in:
Bibliographic Details
Published inPhysical review. E Vol. 109; no. 4-1; p. 044902
Main Authors Hentschel, H George E, Pomyalov, Anna, Procaccia, Itamar, Szachter, Oran
Format Journal Article
LanguageEnglish
Published United States 01.04.2024
Online AccessGet more information

Cover

More Information
Summary:In recent work it was shown that elasticity theory can break down in amorphous solids subjected to nonuniform static loads. The elastic fields are screened by geometric dipoles; these stem from gradients of the quadrupole field associated with plastic responses. Here we study the dynamical responses induced by oscillatory loads. The required modification to classical elasticity is described. Exact solutions for the displacement field in circular geometry are presented, demonstrating that dipole screening results in essential departures from the expected predictions of classical elasticity theory. Numerical simulations are conducted to validate the theoretical predictions and to delineate their range of validity.
ISSN:2470-0053
DOI:10.1103/PhysRevE.109.044902