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Related Experiment Video

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Quantitative Hardness Measurement by Instrumented AFM-indentation

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Published on: November 22, 2016

Dynamic screening by plasticity in amorphous solids.

H George E Hentschel¹, Anna Pomyalov², Itamar Procaccia^2,3

¹Department of Physics, Emory University, Atlanta, Georgia 30322, USA.

Physical Review. E

|May 17, 2024

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.