• Skip to main content
  • Skip to primary sidebar

Complex Materials Theory Group

  • home
  • People
    • Salvatore Torquato
    • Group Members
    • Alumni
  • Research
    • Biophysics
    • Multiscale Order in the Primes
    • Disordered Packings
    • High Dimensional Packings
    • Hyperuniform Materials
    • Multifunctional Materials
    • Self Assembly Theory via Inverse Methods
    • Unusual Ground States
    • Maximally Dense/Densest Local Packings
      • Maximally Dense Packings
      • Densest Local Packings
    • Cancer Modeling
  • Publications
    • Journal Articles
    • Book: Random Heterogeneous Materials
  • News
  • Links and Codes
  • Biophysics

“Effective elastic wave characteristics of composite media” is Published in New Journal of Physics

December 30, 2020 By ms87

Read the full paper: here
Link to the journal: here

We derive exact expressions for effective elastodynamic properties of two-phase composites in the long-wavelength (quasistatic) regime via homogenized constitutive relations that are local in space. This is accomplished by extending the ‘strong-contrast’ expansion formalism that was previously applied to the static problem. These strong-contrast expansions explicitly incorporate complete microstructural information of the composite via an infinite set of \(n\)-point correlation functions. Utilizing the rapid-convergence properties of these series expansions (even for extreme contrast ratios), we extract accurate approximations that depend on the microstructure via the spectral density, which is easy to compute or measure for any composite. We also investigate the predictive power of modifications of such approximation formulas postulated elsewhere (Kim and Torquato 2020 Proc. Natl Acad. Sci. 117 8764) to extend their applicability beyond the quasistatic regime. The accuracy of these nonlocal microstructure-dependent approximations is validated by comparison to full-waveform simulation results for certain models of dispersions. We apply our formulas to a variety of models of nonhyperuniform and hyperuniform disordered composites. We demonstrate that hyperuniform systems are less lossy than their nonhyperuniform counterparts in the quasistatic regime, and stealthy hyperuniform media can be perfectly transparent for a wide range of wavenumbers. Finally, we discuss how to utilize our approximations for engineering composites with prescribed elastic wave characteristics.

Filed Under: News

Primary Sidebar

Contact

Salvatore Torquato
torquato@princeton.edu
Frick Laboratory, 160
609-258-3341
CV

Faculty Assistant:
Kuri Chacko
chacko@princeton.edu
Frick Laboratory, 389
609-258-3924

The Torquato Group • Salvatore Torquato • Department of Chemistry, Princeton University
Frick Chemistry Laboratory - Room 160 • Princeton, NJ 08544 • torquato@princeton.edu • phone: (609) 258-3341