Normal stresses in semiflexible polymer hydrogels

M. Vahabi, Bart E. Vos, Henri C.G. De Cagny, Daniel Bonn, Gijsje H. Koenderink, F. C. Mackintosh

Research output: Contribution to JournalArticleAcademicpeer-review

Abstract

Biopolymer gels such as fibrin and collagen networks are known to develop tensile axial stress when subject to torsion. This negative normal stress is opposite to the classical Poynting effect observed for most elastic solids including synthetic polymer gels, where torsion provokes a positive normal stress. As shown recently, this anomalous behavior in fibrin gels depends on the open, porous network structure of biopolymer gels, which facilitates interstitial fluid flow during shear and can be described by a phenomenological two-fluid model with viscous coupling between network and solvent. Here we extend this model and develop a microscopic model for the individual diagonal components of the stress tensor that determine the axial response of semiflexible polymer hydrogels. This microscopic model predicts that the magnitude of these stress components depends inversely on the characteristic strain for the onset of nonlinear shear stress, which we confirm experimentally by shear rheometry on fibrin gels. Moreover, our model predicts a transient behavior of the normal stress, which is in excellent agreement with the full time-dependent normal stress we measure.

Original languageEnglish
Article number032418
Pages (from-to)1-11
Number of pages11
JournalPhysical Review E
Volume97
Issue number3
DOIs
Publication statusPublished - 28 Mar 2018

Fingerprint

Hydrogel
fibrin
Polymers
gels
polymers
biopolymers
Biopolymers
torsion
Torsion
shear
axial stress
two fluid models
stress tensors
Two-fluid Model
Predict
collagens
tensile stress
Transient Behavior
Collagen
shear stress

Cite this

Vahabi, M. ; Vos, Bart E. ; De Cagny, Henri C.G. ; Bonn, Daniel ; Koenderink, Gijsje H. ; Mackintosh, F. C. / Normal stresses in semiflexible polymer hydrogels. In: Physical Review E. 2018 ; Vol. 97, No. 3. pp. 1-11.
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Normal stresses in semiflexible polymer hydrogels. / Vahabi, M.; Vos, Bart E.; De Cagny, Henri C.G.; Bonn, Daniel; Koenderink, Gijsje H.; Mackintosh, F. C.

In: Physical Review E, Vol. 97, No. 3, 032418, 28.03.2018, p. 1-11.

Research output: Contribution to JournalArticleAcademicpeer-review

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AU - Vahabi, M.

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AU - De Cagny, Henri C.G.

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AB - Biopolymer gels such as fibrin and collagen networks are known to develop tensile axial stress when subject to torsion. This negative normal stress is opposite to the classical Poynting effect observed for most elastic solids including synthetic polymer gels, where torsion provokes a positive normal stress. As shown recently, this anomalous behavior in fibrin gels depends on the open, porous network structure of biopolymer gels, which facilitates interstitial fluid flow during shear and can be described by a phenomenological two-fluid model with viscous coupling between network and solvent. Here we extend this model and develop a microscopic model for the individual diagonal components of the stress tensor that determine the axial response of semiflexible polymer hydrogels. This microscopic model predicts that the magnitude of these stress components depends inversely on the characteristic strain for the onset of nonlinear shear stress, which we confirm experimentally by shear rheometry on fibrin gels. Moreover, our model predicts a transient behavior of the normal stress, which is in excellent agreement with the full time-dependent normal stress we measure.

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