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Studying the Effects of Matrix Stiffness on Cellular Function using Acrylamide-based Hydrogels

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Thawed matrix method for computing local mechanical properties of amorphous solids.

Jörg Rottler¹, Céline Ruscher², Peter Sollich³

¹Department of Physics and Astronomy and Quantum Matter Institute, University of British Columbia, Vancouver, British Columbia V6T 1Z1, Canada.

The Journal of Chemical Physics

|December 1, 2023

Summary

This summary is machine-generated.

This study introduces a new method to precisely control plastic deformation in amorphous solids using an external field. This allows for accurate mapping of local plastic yield stresses and improved prediction of material behavior.

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Area of Science:

Computational materials science
Solid mechanics
Nonlinear dynamics

Background:

Amorphous solids exhibit complex plastic behavior.
Previous methods like the "frozen matrix" approach have limitations in accurately capturing local mechanical properties.
Understanding localized plastic deformation is crucial for predicting material failure.

Purpose of the Study:

To develop a novel method for computing locally varying nonlinear mechanical properties in particle simulations.
To enable precise localization of plastic deformation in amorphous solids.
To improve the prediction of plastic rearrangements from structural information.

Main Methods:

Introduction of an external field to penalize nonaffine displacements, thereby suppressing plastic rearrangements outside a probed region.
Localization of plastic deformation by increasing the strength of the external field.
Characterization of local plastic yield stress distribution and spatial mapping of plastic activity.

Main Results:

Demonstrated ability to localize plastic deformation by controlling the external field strength.
Characterized the distribution of local plastic yield stresses.
Assessed the correlation between spatial maps of yield stress and plastic activity in a 2D amorphous solid model.
Reduced artifacts associated with the "frozen matrix" approach.

Conclusions:

The presented method allows for the computation of locally varying nonlinear mechanical properties in amorphous solids.
The approach enhances the prediction of plastic rearrangements by improving the accuracy of local stress and activity mapping.
This technique offers a more refined understanding of plastic deformation in disordered materials.