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Scaling laws for vibration-induced friction weakening of quasi-statically sheared granular assembly
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DOI：10.1007/s11440-026-03188-y.png)
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Abstract
En 中文
This study examines the frictional properties of a quasi-statically sheared granular assembly with different particle sizes subjected to external vibrations with various amplitudes, frequencies, and confining pressures. After vibration is imposed on a pre-sheared granular assembly, the response evolves in two distinct stages: an instantaneous shear weakening stage, characterized by a sudden drop in the mobilized friction coefficient, and latter a synchronous vibration stage, marked by the recovery of coefficient of friction to a stabilized state in which it fluctuates synchronously with the applied vibration. The mechanical behavior of sheared particles under vibration is governed by two dimensionless numbers, specifically $$\Lambda = {Af}\sqrt {\rho{\text{/}}p {\text{ }}} {\text{ }}$$ in the instantaneous shear weakening stage and $$\Gamma = {Af}^{2} {\rho d}/p$$ in the synchronous vibration stage. In the instantaneous shear weakening stage, the drop in the friction is scaled with $$\Lambda$$ . In the synchronous vibration stage, Γ classifies the frictional weakening behavior of the granular assembly into undisturbed, weakening, and detached regimes. Scaling laws between the dimensionless numbers of vibration and the key mechanical properties of granular assembly (e.g., coefficient of friction, granular temperature) are established in both stages, supported by available direct shear and triaxial experimental data. These findings potentially help in understanding of how granular materials respond to vibrations, especially the vibration-induced friction weakening behavior.
Keywords:
Friction weakening
Granular mechanics
Scaling law
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