Pattern switches in granular crystals

ORAL

Abstract

We report an experimental and numerical study of a pattern transformation in a regular array of macroscopic cylindrical particles with contrasting dimensions and stiffnesses. The initial structure is a square lattice with a pair of large (soft) and small (hard) particles at each lattice site. The application of a uniaxial compression produces a new periodic structure and the transformation principally depends on the size ratio of the particles. At small ratios it is homogeneous and approximately reversible i.e. the initial geometry is almost recovered after unloading. In contrast, when the size ratio is increased the final pattern is reached after a sudden rearrangement of the particles which involves the formation of a shear band. The structural reorganization of the granular crystal will have a significant effect on wave propagation properties and we suggest that this could have interesting applications in phononic and photonic crystals.

Authors

  • Katia Bertoldi

    Harvard university, Harvard University

  • Jongmin Shim

    Harvard University

  • Fatih Goncu

    University of Twente

  • Stephen Willshaw

    University of Manchester

  • Tom Mullin

    University of Manchester

  • Stefan Luding

    University of Twente