Eigenvalue analysis of stress-strain curve of two-dimensional amorphous solids of dispersed frictional grains with finite shear strain
arXiv:2212.04628 · doi:10.1103/PhysRevE.107.034904
Abstract
The stress-strain curve of two-dimensional frictional dispersed grains interacting with a harmonic potential without considering the dynamical slip under a finite strain is determined by using eigenvalue analysis of the Hessian matrix. After the configuration of grains is obtained, the stress-strain curve based on the eigenvalue analysis is in almost perfect agreement with that obtained by the simulation, even if there are plastic deformations caused by stress avalanches. Unlike the naive expectation, the eigenvalues in our model do not indicate any precursors to the stress-drop events.
arXiv comment22 pages, 16 figures. arXiv admin note: text overlap with arXiv:2207.06632
References in corpus (37)
- Amorphous Systems in Athermal, Quasistatic Shear
- Vibrational modes identify soft spots in a sheared disordered packing
- Geometric origin of excess low-frequency vibrational modes in amorphous solids
- On the Rigidity of Amorphous Solids
- Approximate analytical description of the nonaffine response of amorphous solids
- A random critical point separates brittle and ductile yielding transitions in amorphous materials
- Universal Breakdown of Elasticity at the Onset of Material Failure
- Statistics and properties of low-frequency vibrational modes in structural glasses
- Predicting plasticity in disordered solids from structural indicators
- Critical scaling in linear response of frictionless granular packings near jamming
- The yielding transition in amorphous solids under oscillatory shear deformation
- Critical and non-critical jamming of frictional grains
- Macroscopic yielding in jammed solids is accompanied by a non-equilibrium first-order transition in particle trajectories
- A microscopic view of the yielding transition in concentrated emulsions
- Locality and Non-locality in Elasto-plastic Responses of Amorphous Solids
- The distribution of forces affects vibrational properties in hard sphere glasses
- Global Equation of State of two-dimensional hard sphere systems
- Statistical Physics of Elasto-Plastic Steady States in Amorphous Solids: Finite Temperatures and Strain Rates
- Critical jamming of frictional grains in the generalized isostaticity picture
- Nonlinear plastic modes in disordered solids
- Predicting plastic flow events in athermal shear-strained amorphous solids
- Brittle yielding of amorphous solids at finite shear rates
- Softening and Yielding of Soft Glassy Materials
- Critical scaling near the yielding transition in granular media
- Universality of the Plastic Instability in Strained Amorphous Solids
- Elastic Moduli and Vibrational Modes in Jammed Particulate Packings
- Elementary plastic events in amorphous silica
- Oscillatory Instabilities in Frictional Granular Matter
- Sponge-like rigid structures in frictional granular packings
- Two classes of events in sheared particulate matter
- Rotational sound in disordered granular materials
- Origin of reversible and irreversible atomic-scale rearrangements in a model two-dimensional network glass
- Softening and residual loss modulus of jammed grains under oscillatory shear in an absorbing state
- Predicting plasticity of amorphous solids from instantaneous normal modes
- Instantaneous Normal Modes Reveal Structural Signatures for the Herschel-Bulkley Rheology in Sheared Glasses
- Giant Amplification of Small Perturbations in Frictional Amorphous Solid
- Noise Amplification in Frictional Systems: Oscillatory Instabilities
Cited by in corpus (4)
- Complete mathematical theory of the jamming transition: A perspective
- Theory of rigidity and numerical analysis of density of states of two-dimensional amorphous solids with dispersed frictional grains in the linear response regime
- Dislocation Glides in Granular Media
- Enhanced collective vibrations in granular materials