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Related Experiment Video

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Studying Large Amplitude Oscillatory Shear Response of Soft Materials

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Published on: April 25, 2019

Free-boundary dynamics in elastoplastic amorphous solids: the circular hole problem.

Eran Bouchbinder¹, J S Langer, Ting-Shek Lo

¹Department of Chemical Physics, The Weizmann Institute of Science, Rehovot 76100, Israel.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics

|October 13, 2007

Summary

This summary is machine-generated.

We developed a new theory for plastic deformation in amorphous solids, tracking internal states to model void and crack behavior under stress pulses. This work advances understanding of irreversible deformation near boundaries.

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Area of Science:

Materials Science
Solid Mechanics
Computational Physics

Background:

Amorphous solids exhibit complex plastic deformation, particularly near internal or external boundaries like voids and cracks.
Understanding irreversible deformation dynamics under time-dependent loading is crucial for material design and failure prediction.

Purpose of the Study:

To develop an athermal shear-transformation-zone (STZ) theory for plastic deformation in spatially inhomogeneous amorphous solids.
To describe the dynamics of void/crack boundaries under time-dependent tractions.
To analyze elastoplastic response during loading and unloading cycles.

Main Methods:

Application of shear-transformation-zone (STZ) theory to model plastic deformation.
Analytical solutions for a circular hole in a 2D infinite plate under stress pulses.
Tracking of spatially heterogeneous internal state variables, including disorder temperature.

Main Results:

The STZ theory successfully models irreversible deformation near stress concentrations.
Calculations of final deformations and residual stresses produced by finite-duration stress pulses.
Demonstration of elastoplastic response during both loading and unloading phases.

Conclusions:

The developed athermal STZ theory provides a framework for understanding plastic deformation in amorphous solids with internal state variables.
The study highlights the importance of internal state variables and finite stress pulse durations in predicting material response.
Future work may involve developing boundary-layer theories for less symmetric, more general applications.