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Odd dipole screening in radial inflation.

Yang Fu1, H George E Hentschel2, Pawandeep Kaur3

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This study explores how plastic deformations affect mechanical responses in amorphous solids. It introduces "odd dipole screening" to explain elasticity screening, validated by analytical and numerical methods.

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Area of Science:

  • Solid Mechanics
  • Materials Science
  • Continuum Mechanics

Background:

  • Studying plastic deformations in amorphous solids is crucial for understanding material behavior.
  • Previous work showed Eshelby quadrupolar charges lead to dipole charges that screen elasticity.

Purpose of the Study:

  • To investigate the phenomenon of elasticity screening in amorphous solids.
  • To incorporate irreversibility and Chiral symmetry breaking into the mechanical response model.

Main Methods:

  • Analytical solutions for displacement fields with "odd dipole screening."
  • Numerical simulations to validate analytical findings.
  • Comparison of theoretical predictions with experimental possibilities.

Main Results:

  • Identified "odd dipole screening" as a key factor in elasticity screening.
  • Demonstrated the role of irreversibility and Chiral symmetry breaking.
  • Analytical and numerical results show good agreement.

Conclusions:

  • The developed theory provides a deeper understanding of screening phenomena in amorphous solids.
  • Experimental validation of "odd dipole screening" is proposed.
  • This work advances the study of mechanical responses under plastic deformation.