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Nonlinear waves in dry and wet Hertzian granular chains
Stéphane Job1, Francisco Santibanez, Franco Tapia
1Supmeca, 3 rue Fernand Hainaut 93407 Saint-Ouen, France. stephane.job@supmeca.fr
Adding fluid to granular chains significantly alters wave propagation. Wet chains exhibit enhanced wave speed and shorter pulses due to increased contact stiffness, a phenomenon observed in experiments and simulations.
Area of Science:
- Physics
- Materials Science
- Fluid Dynamics
Background:
- One-dimensional dry granular media, like bead chains, display nonlinear behaviors governed by the Hertz potential.
- The presence of interstitial fluid in granular media can introduce novel physical phenomena.
Purpose of the Study:
- To investigate nonlinear wave propagation in both dry and wet granular chains of spheres.
- To analyze the impact of interstitial viscous fluid on wave characteristics and intergrain stiffness.
Main Methods:
- Experimental studies using chains of spheres.
- Analytical analysis of wave propagation.
- Numerical simulations of granular chain dynamics.
Main Results:
- Interstitial fluid enhances wave speed and shortens pulse duration in granular chains.
- Even small amounts of fluid significantly increase contact stiffness, overcoming the Hertzian potential.
- Fluid shear rates during elastohydrodynamic collisions are identified as a key mechanism for wet contact hardening.
Conclusions:
- The presence of interstitial fluid fundamentally alters nonlinear wave propagation in granular media.
- Wet granular chains exhibit distinct dynamic properties compared to their dry counterparts.
- Fluid-induced contact hardening is a significant factor influencing wave behavior in these systems.
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