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Microstructure and mechanical properties of hyperuniform heterogeneous materials.

Yaopengxiao Xu1, Shaohua Chen1, Pei-En Chen2

  • 1Materials Science and Engineering, Arizona State University, Tempe, Arizona 85287, USA.

Physical Review. E
|January 20, 2018
PubMed
Summary

Hyperuniform materials exhibit enhanced brittle fracture strength due to reduced stress concentration, despite being softer than nonhyperuniform counterparts. This finding highlights their potential for superior mechanical performance.

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Area of Science:

  • Materials Science
  • Condensed Matter Physics
  • Statistical Mechanics

Background:

  • Hyperuniform materials possess unique properties, including large photonic band gaps and optimal transport.
  • These materials exhibit suppressed long-wavelength fluctuations in their microstructure.
  • Understanding and controlling short-range order is key to tailoring material properties.

Purpose of the Study:

  • To develop a stochastic optimization procedure for generating hyperuniform heterogeneous materials with controllable short-range order.
  • To investigate the mechanical performance (elastic and brittle fracture) of these generated materials.
  • To compare the mechanical behavior of hyperuniform materials with their nonhyperuniform counterparts.

Main Methods:

  • A generalized Yeong-Torquato reconstruction procedure incorporating a hyperuniformity constraint.
  • Quantification of short-range order using the two-point correlation function S₂(r) up to a cutoff distance γ.
  • Mechanical analysis using the volume-compensated lattice-particle method.
  • Construction and analysis of nonhyperuniform materials with identical short-range order for comparison.

Main Results:

  • Generated hyperuniform materials with controllable short-range order using the modified stochastic optimization.
  • Hyperuniform materials showed lower elastic stiffness but significantly higher brittle fracture strength compared to nonhyperuniform materials.
  • Reduced stress concentration in hyperuniform microstructures was identified as the reason for improved fracture resistance.

Conclusions:

  • The developed method enables the creation of hyperuniform materials with tunable microstructures.
  • Hyperuniformity is a promising design principle for enhancing the fracture toughness of heterogeneous materials.
  • The findings have implications for designing advanced materials with superior mechanical reliability.