Noise Amplification in Frictional Systems: Oscillatory Instabilities
arXiv:1903.10887 · doi:10.1103/PhysRevE.100.042901
Abstract
It was discovered recently that frictional granular materials can exhibit an important mechanism for instabilities, i.e the appearance of pairs of complex eigenvalues in their stability matrix. The consequence is an oscillatory exponential growth of small perturbations which are tamed by dynamical nonlinearities. The amplification can be giant, many orders of magnitude, and it ends with a catastrophic system-spanning plastic event. Here we follow up on this discovery, explore the scaling laws characterizing the onset of the instability, the scenarios of the development of the instability with and without damping, and the nature of the eventual system spanning events. The possible relevance to earthquake physics and to the transition from static to dynamic friction is discussed.
arXiv admin note: text overlap with arXiv:1901.02376
References in corpus (3)
Cited by in corpus (9)
- Stress Correlations in Frictional Granular Media
- Origin of reversible and irreversible atomic-scale rearrangements in a model two-dimensional network glass
- Frictional Granular Matter: Protocol Dependence of Mechanical Properties
- Giant Amplification of Small Perturbations in Frictional Amorphous Solid
- Eigenvalue analysis of stress-strain curve of two-dimensional amorphous solids of dispersed frictional grains with finite shear strain
- Transition from Static to Dynamic Friction in an Array of Frictional Disks
- Theory of rigidity and numerical analysis of density of states of two-dimensional amorphous solids with dispersed frictional grains in the linear response regime
- Oscillatory Instabilities in 3-Dimensional Frictional Granular Matter
- Shear-induced mixing of granular materials featuring broad granule size distributions