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Dynamic screening by plasticity in amorphous solids.

H George E Hentschel1, Anna Pomyalov2, Itamar Procaccia2,3

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Summary
This summary is machine-generated.

Elasticity theory breaks down in amorphous solids under nonuniform loads. Geometric dipoles, arising from plastic responses, screen elastic fields, causing deviations from classical predictions in dynamic scenarios.

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Area of Science:

  • Solid mechanics
  • Materials science
  • Nonlinear elasticity

Background:

  • Classical elasticity theory fails for amorphous solids under nonuniform static loads.
  • Geometric dipoles, linked to plastic responses, screen elastic fields.

Purpose of the Study:

  • Investigate dynamical responses of amorphous solids to oscillatory loads.
  • Modify classical elasticity theory to account for dipole screening effects.
  • Analyze deviations from classical predictions in dynamic scenarios.

Main Methods:

  • Developed a modified elasticity theory incorporating dipole screening.
  • Derived exact solutions for displacement fields in circular geometries.
  • Performed numerical simulations to validate theoretical predictions.

Main Results:

  • Dipole screening causes significant departures from classical elasticity predictions under dynamic loading.
  • Theoretical predictions for displacement fields were validated by numerical simulations.
  • The range of validity for the modified theory was established.

Conclusions:

  • The study presents a modified elasticity theory for amorphous solids under dynamic loads.
  • Geometric dipole screening is crucial for understanding the mechanical behavior of these materials.
  • The findings offer a more accurate framework for predicting the response of amorphous solids.