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Eshelby problem in amorphous solids.

H George E Hentschel1, Avanish Kumar2, Itamar Procaccia2,3

  • 1Department of Physics, <a href="https://ror.org/03czfpz43">Emory University</a>, Atlanta, Georgia 30322, USA.

Physical Review. E
|October 19, 2024
PubMed
Summary
This summary is machine-generated.

This study solves the Eshelby problem for amorphous solids, revealing significant modifications to stress redistribution compared to classical elastic solutions. These findings are crucial for accurately modeling plastic events in materials with boundaries.

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Area of Science:

  • Materials Science
  • Solid Mechanics
  • Condensed Matter Physics

Background:

  • The Eshelby problem models stress redistribution in elastic materials.
  • The classical Eshelby solution applies to infinite, purely elastic materials.
  • This solution is widely used for amorphous solids despite boundary limitations.

Purpose of the Study:

  • To directly solve the Eshelby problem for amorphous solids.
  • To incorporate screening effects and realistic boundary conditions.
  • To identify deviations from the classical Eshelby solution.

Main Methods:

  • Directly solving the Eshelby problem for amorphous solids.
  • Analyzing the impact of screening effects.
  • Investigating realistic boundary conditions.

Main Results:

  • Identified major modifications to the classical Eshelby solution.
  • Demonstrated the importance of screening effects and boundaries.
  • The derived solution deviates significantly from the infinite elastic case.

Conclusions:

  • The classical Eshelby solution requires significant revision for amorphous solids.
  • Accurate modeling of plastic events in amorphous solids necessitates considering finite boundaries and screening.
  • This work provides a more realistic framework for understanding stress redistribution.