### 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 language | English |
---|---|

Article number | 032418 |

Pages (from-to) | 1-11 |

Number of pages | 11 |

Journal | Physical Review E |

Volume | 97 |

Issue number | 3 |

DOIs | |

Publication status | Published - 28 Mar 2018 |

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### Cite this

*Physical Review E*,

*97*(3), 1-11. [032418]. https://doi.org/10.1103/PhysRevE.97.032418

}

*Physical Review E*, vol. 97, no. 3, 032418, pp. 1-11. https://doi.org/10.1103/PhysRevE.97.032418

**Normal stresses in semiflexible polymer hydrogels.** / Vahabi, M.; Vos, Bart E.; De Cagny, Henri C.G.; Bonn, Daniel; Koenderink, Gijsje H.; Mackintosh, F. C.

Research output: Contribution to Journal › Article › Academic › peer-review

TY - JOUR

T1 - Normal stresses in semiflexible polymer hydrogels

AU - Vahabi, M.

AU - Vos, Bart E.

AU - De Cagny, Henri C.G.

AU - Bonn, Daniel

AU - Koenderink, Gijsje H.

AU - Mackintosh, F. C.

PY - 2018/3/28

Y1 - 2018/3/28

N2 - 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.

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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U2 - 10.1103/PhysRevE.97.032418

DO - 10.1103/PhysRevE.97.032418

M3 - Article

VL - 97

SP - 1

EP - 11

JO - Physical Review E

JF - Physical Review E

SN - 2470-0045

IS - 3

M1 - 032418

ER -