Abstract
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.
| Original language | English |
|---|---|
| Article number | 044902 |
| Journal | Physical Review E |
| Volume | 109 |
| Issue number | 4 |
| DOIs | |
| Publication status | Published - Apr 2024 |
Bibliographical note
We thank M. Moshe for useful discussions at the early stages of this project. This work has been supported by the joint grant between the Israel Science Foundation and the National Science Foundation of China, and by the Minerva Foundation, Munich, Germany.Publisher Copyright:
© 2024 American Physical Society.
All Science Journal Classification (ASJC) codes
- Statistical and Nonlinear Physics
- Statistics and Probability
- Condensed Matter Physics