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Discontinuous instabilities in disordered solids.

Ding Xu1, Shiyun Zhang1, Andrea J Liu2,3

  • 1Hefei National Research Center for Physical Sciences at the Microscale, Chinese Academy of Sciences Key Laboratory of Microscale Magnetic Resonance, and Department of Physics, University of Science and Technology of China, Hefei 230026, People's Republic of China.

Proceedings of the National Academy of Sciences of the United States of America
|August 16, 2023
PubMed
Summary
This summary is machine-generated.

Disordered solids exhibit plastic flow through particle rearrangements. This study reveals a new "discontinuous instability" mechanism, distinct from fold instabilities, driven by the breaking of "stabilizing bonds," which are key predictors of mechanical failure.

Keywords:
disordered solidsinstabilitynormal mode of vibration

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Area of Science:

  • Materials Science
  • Condensed Matter Physics
  • Solid Mechanics

Background:

  • Plasticity in solids involves particle rearrangements under load.
  • The athermal, quasistatic limit simplifies plasticity analysis.
  • Fold instabilities were previously thought to be the primary cause of rearrangements.

Purpose of the Study:

  • To identify and characterize novel mechanisms of mechanical instability in disordered solids.
  • To investigate the role of
  • stabilizing bonds
  • in material failure.
  • To establish accurate structural predictors for mechanical failure.

Main Methods:

  • Analysis of vibrational modes in disordered solids.
  • Identification of
  • fold instabilities
  • and
  • discontinuous instabilities
  • .
  • Investigation of
  • stabilizing bonds
  • and their role in mechanical failure.

Main Results:

  • A new type of instability,
  • discontinuous instability
  • , caused by
  • stabilizing bond
  • breaking, has been identified.
  • These
  • discontinuous instabilities
  • are prevalent and often dominate failure modes in common disordered systems.
  • Stabilizing bonds serve as accurate local indicators of incipient mechanical failure, predicting both discontinuous and fold instabilities.

Conclusions:

  • The understanding of mechanical failure in disordered solids needs to incorporate discontinuous instabilities.
  • "Stabilizing bonds" are crucial structural elements predicting material failure.
  • This work provides a new framework for predicting and potentially mitigating material failure in disordered solids.