4.8 Article

Scaling Law for Cracking in Shrinkable Granular Packings

Journal

PHYSICAL REVIEW LETTERS
Volume 123, Issue 15, Pages -

Publisher

AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.123.158004

Keywords

-

Funding

  1. Princeton University
  2. Alfred Rheinstein Faculty Award
  3. Grand Challenges Initiative of the Princeton Environmental Institute
  4. Princeton Center for Complex Materials, a Materials Research Science and Engineering Center - National Science Foundation [DMR-1420541]

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Hydrated granular packings often crack into discrete clusters of grains when dried. Despite its ubiquity, an accurate prediction of cracking remains elusive. Here, we elucidate the previously overlooked role of individual grain shrinkage-a feature common to many materials-in determining crack patterning using both experiments and simulations. By extending classical Griffith crack theory, we obtain a scaling law that quantifies how cluster size depends on the interplay between grain shrinkage, stiffness, and size-applicable to a diverse array of shrinkable granular packings.

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