Cross-Linking Patterns and Their Images in Swollen and Deformed Gels

Sergey Panyukov, Yitzhak Rabin

Research output: Contribution to journalArticlepeer-review

3 Scopus citations


Using the theory of elasticity of polymer gels we show that large-scale cross-link density patterns written into the structure of the network in the melt state, can be revealed upon swelling by monitoring the monomer density patterns. We find that while isotropic deformations in good solvent yield magnified images of the original pattern, anisotropic deformations distort the image (both types of deformation yield affinely stretched images in Θ solvents). We show that in ordinary solids with spatially inhomogeneous profile of the shear modulus, isotropic stretching leads to distorted density image of this profile under isotropic deformation. Using simple physical arguments we demonstrate that the different response to isotropic stretching stems from fundamental differences between the theory of elasticity of solids and that of gels. Possible tests of our predictions and some potential applications are discussed.

Original languageEnglish
Pages (from-to)7378-7381
Number of pages4
Issue number19
StatePublished - 2 Oct 2015

Bibliographical note

Publisher Copyright:
© 2015 American Chemical Society.


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