Journal
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA
Volume 119, Issue 19, Pages -Publisher
NATL ACAD SCIENCES
DOI: 10.1073/pnas.2117622119
Keywords
metamaterials; material training; jamming; degrees of freedom; mechanical stability
Categories
Funding
- Simons Foundation for the collaboration Cracking the Glass Problem [454939, 454945, 348126, 454947, 327939, 446222]
- US Department of Energy, Office of Science, Basic Energy Sciences [DE-SC0020972]
- University of Chicago Materials Research Science and Engineering Center - NSF [DMR-2011854]
- U.S. Department of Energy (DOE) [DE-SC0020972] Funding Source: U.S. Department of Energy (DOE)
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The introduction of transient degrees of freedom can lead to stable jammed packings with deep energy minima, and different choices for the added degrees of freedom can result in different training outcomes.
The introduction of transient degrees of freedom into a system can lead to novel material design and training protocols that guide a system into a desired metastable state. In this approach, some degrees of freedom, which were not initially included in the system dynamics, are first introduced and subsequently removed from the energy minimization process once the desired state is reached. Using this conceptual framework, we create stable jammed packings that exist in exceptionally deep energy minima marked by the absence of low-frequency quasilocalized modes; this added stability persists in the thermodynamic limit. The inclusion of particle radii as transient degrees of freedom leads to deeper and much more stable minima than does the inclusion of particle stiffnesses. This is because particle radii couple to the jamming transition, whereas stiffnesses do not. Thus, different choices for the added degrees of freedom can lead to very different training outcomes.
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