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Localized quadrupolar instabilities drive plasticity in amorphous solids. This study investigates yielding and melting transitions in a model of elastic continua with defects, revealing a spinodal-type transition.

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Area of Science:

  • Condensed Matter Physics
  • Materials Science
  • Statistical Mechanics

Background:

  • Plasticity in amorphous solids is linked to localized quadrupolar instabilities.
  • The precise mechanisms of failure and melting in amorphous solids remain a subject of debate.

Purpose of the Study:

  • To investigate yielding and melting phenomena in amorphous solids.
  • To model these behaviors using an elastic continuum with quadrupolar defects at finite temperatures.

Main Methods:

  • Analytical investigation of defect collective behavior.
  • Application of renormalization group techniques.
  • Utilizing field-theoretic methods.

Main Results:

  • The model successfully captures phenomena related to amorphous solid failure.
  • A yielding/melting transition of spinodal type was identified.
  • The collective behavior of quadrupolar defects was analytically characterized.

Conclusions:

  • The elastic continuum model with quadrupolar defects provides a viable framework for studying amorphous solid failure.
  • The identified spinodal-type transition offers new insights into the mechanisms of yielding and melting.
  • Further research can build upon these findings to explore complex material behaviors.