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Slow dynamics in a single bead with mechanical conditioning and transient heating
Richard L Weaver1, SangMin Lee2
1Department of Physics, University of Illinois Urbana-Champaign, Urbana, Illinois 61801, USA.
Physical Review. E
|May 18, 2023
Summary
Mechanical conditioning of aluminum beads affects their contact stiffness. Heating accelerates stiffness recovery after conditioning, while cooling has no significant effect, challenging standard thermal activation models.
Area of Science:
- Materials Science
- Mechanical Engineering
- Physics
Background:
- Contact stiffness of confined structures can change with mechanical conditioning.
- This phenomenon is often described by slow logarithmic recovery dynamics.
- The influence of thermal effects on this recovery is not fully understood.
Purpose of the Study:
- To investigate the response of conditioned aluminum bead stiffness to transient heating and cooling.
- To determine the effect of temperature on the slow dynamic recovery of contact stiffness.
- To compare experimental results with predictions from thermal activation models.
Main Methods:
- Mechanical conditioning of an aluminum bead confined between two slabs.
- Application of transient heating and cooling cycles.
- Hybrid tests combining vibration conditioning with thermal changes.
- Analysis of stiffness changes over time and temperature.
Main Results:
- Stiffness changes under heating or cooling alone correlate with temperature-dependent material moduli.
- Heating accelerates the logarithmic recovery of stiffness after conditioning.
- Cooling shows no discernible effect on stiffness recovery dynamics.
- Observed heating effect exceeds predictions from Arrhenius models.
Conclusions:
- Thermal effects significantly influence the slow dynamic recovery of contact stiffness in conditioned aluminum beads.
- Heating accelerates recovery, suggesting complex thermally activated processes.
- The observed behavior deviates from simple Arrhenius predictions, indicating a need for refined models.

