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Visually Based Characterization of the Incipient Particle Motion in Regular Substrates: From Laminar to Turbulent Conditions

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Solidlike behavior and anisotropy in rigid frictionless bead assemblies.

Pierre-Emmanuel Peyneau¹, Jean-Noël Roux

¹Université Paris-Est, UR Navier, LMSGC, 2 allée Kepler, Cité Descartes, 77420 Champs-sur-Marne, France. pierre-emmanuel.peyneau@lcpc.fr

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics

|November 13, 2008

Summary

This study simulates frictionless bead assemblies, revealing they sustain stress without expansion. Anisotropy in fabric and forces emerges under deviatoric stress, linked by single parameters.

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Area of Science:

Granular physics
Computational mechanics
Materials science

Background:

Understanding granular material behavior under stress is crucial for geotechnical engineering and materials science.
Previous models often simplify granular interactions, necessitating more detailed investigations into complex stress states.

Purpose of the Study:

To investigate the structure and mechanical behavior of frictionless, equal-sized bead assemblies under various quasistatic loading paths.
To determine the macroscopic stress limits and yield surface characteristics of these granular systems.
To analyze the development of fabric and force anisotropies and their relationship with stress states.

Main Methods:

Numerical simulations of frictionless, nearly rigid, equal-sized bead assemblies.
Exploration of three distinct loading paths: triaxial compression, triaxial extension, and simple shear.
Analysis of geometric characteristics, force networks, and pair correlation functions.

Main Results:

Granular assemblies sustain finite deviator stress without dilatancy in the macroscopic limit across all loading paths.
The yield surface deviates from Mohr-Coulomb predictions, better fitting Lade-Duncan or Matsuoka-Nakai criteria.
Fabric and force distribution anisotropies develop, each describable by a single parameter, and are interdependent with stress ratios.

Conclusions:

Granular materials exhibit complex anisotropic behavior even under simple loading conditions.
The findings provide a more accurate model for granular material mechanics, applicable to various stress conditions.
The study highlights the importance of considering fabric and force anisotropies for predicting granular material response.