Rigidity Transition in Materials: Hardness is Driven by Weak Atomic Constraints
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PhysRevLett.114.125502.pdf
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Author(s) • • • •
Bauchy, Mathieu
Bichara, Christophe
Ulm, Franz-Josef
Abdolhosseini Qomi, Mohammad
Pellenq, Roland Jm
Date Issued
March 2015
Journal
Physical Review Letters
Publisher
American Physical Society
Citation
Bauchy, Mathieu, Mohammad Javad Abdolhosseini Qomi, Christophe Bichara, Franz-Josef Ulm, and Roland J.-M. Pellenq. "Rigidity Transition in Materials: Hardness is Driven by Weak Atomic Constraints." Phys. Rev. Lett. 114, 125502 (March 2015). © 2015 American Physical Society
Version
Final published version
Abstract
Understanding the composition dependence of the hardness in materials is of primary importance for infrastructures and handled devices. Stimulated by the need for stronger protective screens, topological constraint theory has recently been used to predict the hardness in glasses. Herein, we report that the concept of rigidity transition can be extended to a broader range of materials than just glass. We show that hardness depends linearly on the number of angular constraints, which, compared to radial interactions, constitute the weaker ones acting between the atoms. This leads to a predictive model for hardness, generally applicable to any crystalline or glassy material.
MIT Department
Massachusetts Institute of Technology. Department of Civil and Environmental Engineering
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DOI of Published Version
https://doi.org/10.1103/PhysRevLett.114.125502