Shear modulus and reversible particle trajectories of frictional granular materials under oscillatory shear

Abstract

In this study, we numerically investigated the mechanical responses and trajectories of frictional granular particles under oscillatory shear in the reversible phase where particle trajectories form closed loops below the yielding point. When the friction coefficient is small, the storage modulus exhibits softening, and the loss modulus remains finite in the quasi-static limit. As the friction coefficient increases, the softening and residual loss modulus are suppressed. The storage and loss moduli satisfy scaling laws if they are plotted as functions of the areas of the loop trajectories divided by the strain amplitude and diameter of grains, at least for their small values.

7 pages, 11 figures

References in corpus (5)

• Macroscopic Discontinuous Shear Thickening vs Local Shear Jamming in Cornstarch
• A microscopic view of the yielding transition in concentrated emulsions
• Reversible plasticity in amorphous materials
• Thinning or thickening? Multiple rheological regimes in dense suspensions of soft particles
• Period proliferation in periodic states in cyclically sheared jammed solids

Cited by in corpus (4)

• Ultra-stable shear jammed granular material
• Softening and residual loss modulus of jammed grains under oscillatory shear in an absorbing state
• Microscopic Reversibility and Emergent Elasticity in Ultrastable Granular Systems
• An exact expression of three-body system for the complex shear modulus of frictional granular materials