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Tuckman PJ, VanderWerf K, Yuan Y, et al. Contact network changes in ordered and disordered disk packings. Soft Matter. 2020;16(41):9443-9455doi: 10.1039/d0sm01137a.
Tuckman, P. J., VanderWerf, K., Yuan, Y., Zhang, S., Zhang, J., Shattuck, M. D., & O'Hern, C. S. (2020). Contact network changes in ordered and disordered disk packings. Soft matter, 16(41), 9443-9455. https://doi.org/10.1039/d0sm01137a
Tuckman, Philip J, et al. "Contact network changes in ordered and disordered disk packings." Soft matter vol. 16,41 (2020): 9443-9455. doi: https://doi.org/10.1039/d0sm01137a
Tuckman PJ, VanderWerf K, Yuan Y, Zhang S, Zhang J, Shattuck MD, O'Hern CS. Contact network changes in ordered and disordered disk packings. Soft Matter. 2020 Oct 28;16(41):9443-9455. doi: 10.1039/d0sm01137a. PMID: 32940321.
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Soft Matter. 2020 Oct 28;16(41):9443-9455. doi: 10.1039/d0sm01137a.

Contact network changes in ordered and disordered disk packings.

Soft matter

Philip J Tuckman, Kyle VanderWerf, Ye Yuan, Shiyun Zhang, Jerry Zhang, Mark D Shattuck, Corey S O'Hern

Affiliations

  1. Department of Physics, Yale University, New Haven, Connecticut 06520, USA.
  2. Department of Mechanics and Engineering Science, College of Engineering, Peking University, Beijing 100871, China. [email protected] and Department of Mechanical Engineering and Materials Science, Yale University, New Haven, Connecticut 06520, USA.
  3. Department of Mechanical Engineering and Materials Science, Yale University, New Haven, Connecticut 06520, USA and Department of Physics, University of Science and Technology of China, Hefei, Anhui 230026, China. [email protected].
  4. Department of Mechanical Engineering and Materials Science, Yale University, New Haven, Connecticut 06520, USA.
  5. Benjamin Levich Institute and Physics Department, The City College of New York, New York, New York 10031, USA.
  6. Department of Physics, Yale University, New Haven, Connecticut 06520, USA and Department of Mechanical Engineering and Materials Science, Yale University, New Haven, Connecticut 06520, USA and Department of Applied Physics, Yale University, New Haven, Connecticut 06520, USA. [email protected] and Graduate Program in Computational Biology and Bioinformatics, Yale University, New Haven, Connecticut 06520, USA.

PMID: 32940321 DOI: 10.1039/d0sm01137a

Abstract

We investigate the mechanical response of packings of purely repulsive, frictionless disks to quasistatic deformations. The deformations include simple shear strain at constant packing fraction and at constant pressure, "polydispersity" strain (in which we change the particle size distribution) at constant packing fraction and at constant pressure, and isotropic compression. For each deformation, we show that there are two classes of changes in the interparticle contact networks: jump changes and point changes. Jump changes occur when a contact network becomes mechanically unstable, particles "rearrange", and the potential energy (when the strain is applied at constant packing fraction) or enthalpy (when the strain is applied at constant pressure) and all derivatives are discontinuous. During point changes, a single contact is either added to or removed from the contact network. For repulsive linear spring interactions, second- and higher-order derivatives of the potential energy/enthalpy are discontinuous at a point change, while for Hertzian interactions, third- and higher-order derivatives of the potential energy/enthalpy are discontinuous. We illustrate the importance of point changes by studying the transition from a hexagonal crystal to a disordered crystal induced by applying polydispersity strain. During this transition, the system only undergoes point changes, with no jump changes. We emphasize that one must understand point changes, as well as jump changes, to predict the mechanical properties of jammed packings.

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