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Non-affine deformations in polymer hydrogels.

Qi Wen¹, Anindita Basu, Paul A Janmey

¹Department of Physics, Worcester Polytechnic Institute, MA, USA.

|September 25, 2012

Summary

Most soft matter elasticity theories assume uniform, affine deformation. However, experiments reveal significant non-affine deformation in hydrogels, potentially caused by micro-inhomogeneity rather than just filament bending.

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Area of Science:

Soft Matter Physics
Polymer Science
Materials Science

Background:

Elasticity theories for soft matter often assume affine deformation, where local strain equals macroscopic strain.
Hydrogel elasticity is typically explained by entropic theories predicting affine behavior.
Simulations suggest non-affine deformation due to filament bending in polymer networks.

Purpose of the Study:

To investigate affine and non-affine theories of elasticity in crosslinked polymer hydrogels.
To explore experimental methods for measuring non-affine deformations.
To identify the primary sources of non-affine deformation in hydrogels.

Main Methods:

Discussion of theoretical models for soft matter elasticity (affine vs. non-affine).
Description of experimental techniques for measuring non-affine deformations.
Analysis of experimental results from hydrogels using confocal rheoscope.

Main Results:

Experimental results show significant non-affine deformation in hydrogels, even with flexible polymers.
Filament bending, predicted by simulations, is not the sole cause of non-affine behavior.
Sample micro-inhomogeneity is identified as a significant alternative source of non-affine deformation.

Conclusions:

Non-affine deformation in hydrogels can arise from factors beyond filament bending.
Micro-inhomogeneity within the hydrogel structure is a key contributor to observed non-affine behavior.
Rethinking elasticity models for soft matter is necessary to account for these findings.