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Rigidity-Controlled Crossover: From Spinodal to Critical Failure.

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  • 1LMS, CNRS-UMR 7649, Ecole Polytechnique, Université Paris-Saclay, 91128 Palaiseau, France.

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|January 25, 2020
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Summary
This summary is machine-generated.

Failure in disordered solids exhibits fluctuations, with analogies to spinodal or critical points. This study shows rigidity, alongside disorder, tunes systems to criticality, linking brittle-to-ductile transitions to earthquake and turbulence dynamics.

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Area of Science:

  • Condensed Matter Physics
  • Materials Science
  • Statistical Mechanics

Background:

  • Disordered solids exhibit intermittent fluctuations during failure across various scales.
  • Previous research linked this scaling to spinodal or critical points.

Purpose of the Study:

  • To investigate the relevance of spinodal and critical point analogies near the brittle-to-ductile transition in disordered solids.
  • To explore the role of quenched disorder and system rigidity in tuning failure dynamics to criticality.

Main Methods:

  • Utilized an analytically transparent mean-field model.
  • Analyzed the relationship between disorder strength, rigidity (connectivity), and criticality.
  • Interpreted rigidity as a timelike variable.

Main Results:

  • Demonstrated the relevance of both spinodal and critical point analogies near the brittle-to-ductile transition.
  • Showed that rigidity, in addition to disorder, can tune the system to criticality.
  • Revealed a parallel between earthquake-type critical failure and Burgers turbulence.

Conclusions:

  • The brittle-to-ductile transition in disordered solids can be understood through criticality.
  • System rigidity is a key parameter for controlling failure dynamics and achieving criticality.
  • The study provides a unified perspective on critical failure phenomena across different fields.