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Updated: Jun 21, 2026

Studying Large Amplitude Oscillatory Shear Response of Soft Materials
Published on: April 25, 2019
Locality and nonlocality in elastoplastic responses of amorphous solids
Edan Lerner1, Itamar Procaccia
1Department of Chemical Physics, The Weizmann Institute of Science, Rehovot 76100, Israel.
Plastic deformations in amorphous solids are not localized, contrary to many current theories. Numerical experiments reveal that these plastic deformations exhibit subextensive scaling, with exponents that may depend on system disorder.
Area of Science:
- Condensed Matter Physics
- Materials Science
- Computational Physics
Background:
- Current theories of plasticity in amorphous solids often assume spatial localization of plastic deformations.
- Understanding the spatial distribution of plastic deformation is crucial for predicting material behavior.
Purpose of the Study:
- To numerically investigate the degree of spatial localization of plastic deformation in amorphous solids.
- To challenge the assumption of localized plastic deformation in existing theoretical models.
Main Methods:
- Conducted a series of numerical experiments on amorphous solids.
- Systematically removed elastic contributions to isolate elastoplastic deformations.
- Analyzed the scaling behavior of plastic deformation using various measures.
Main Results:
- Plastic deformations were found to be non-localized across all tested simulational protocols.
- Plastic deformations exhibit subextensive scaling, deviating from extensive or localized behavior.
- The scaling exponents characterizing subextensive behavior appear to be nonuniversal, influenced by disorder and system parameters.
Conclusions:
- The assumption of spatially localized plastic deformation in amorphous solids is not supported by these numerical findings.
- Subextensive scaling is a key characteristic of plastic deformation in these systems.
- Further research into the factors determining scaling exponents is needed to advance the physics of amorphous solids.
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