Back to Search
Start Over
Analysis of Low-Frequency Vibrational Modes and Particle Rearrangements in Marginally Jammed Amorphous Solid under Quasi-Static Shear
- Source :
- Chinese Physics Letters. 32:126201
- Publication Year :
- 2015
- Publisher :
- IOP Publishing, 2015.
-
Abstract
- We present the numerical simulation results of a model granular assembly formed by spherical particles with Hertzian interaction subjected to a simple shear in the athermal quasi-static limit. The stress-strain curve is shown to separate into smooth, elastic branches followed by a subsequent plastic event. Mode analysis shows that the lowest-frequency vibrational mode is more localized, and eigenvalues and participation ratios of low-frequency modes exhibit similar power-law behavior as the system approaches plastic instability, indicating that the nature of plastic events in the granular system is also a saddle node bifurcation. The analysis of projection and spatial structure shows that over 75% contributions to the non-affine displacement field at a plastic instability come from the lowest-frequency mode, and the lowest-frequency mode is strongly spatially correlated with local plastic rearrangements, inferring that the lowest-frequency mode could be used as a predictor for future plastic rearrangements in the disordered system jammed marginally.
Details
- ISSN :
- 17413540 and 0256307X
- Volume :
- 32
- Database :
- OpenAIRE
- Journal :
- Chinese Physics Letters
- Accession number :
- edsair.doi...........6ddf6414071a1aa0984b5f30ccef99c3