A finite element method for transient analysis of concurrent large deformation and mass transport in gels

Jiaping Zhang, Xuanhe Zhao, Zhigang Suo, Hanqing Jiang

Research output: Contribution to journalArticle

76 Citations (Scopus)

Abstract

A gel is an aggregate of polymers and solvent molecules. The polymers crosslink into a three-dimensional network by strong chemical bonds and enable the gel to retain its shape after a large deformation. The solvent molecules, however, interact among themselves and with the network by weak physical bonds and enable the gel to be a conduit of mass transport. The time-dependent concurrent process of large deformation and mass transport is studied by developing a finite element method. We combine the kinematics of large deformation, the conservation of the solvent molecules, the conditions of local equilibrium, and the kinetics of migration to evolve simultaneously two fields: the displacement of the network and the chemical potential of the solvent. The finite element method is demonstrated by analyzing several phenomena, such as swelling, draining and buckling. This work builds a platform to study diverse phenomena in gels with spatial and temporal complexity.

Original languageEnglish (US)
Article number093522
JournalJournal of Applied Physics
Volume105
Issue number9
DOIs
StatePublished - 2009

Fingerprint

finite element method
gels
molecules
polymers
chemical bonds
buckling
drainage
swelling
conservation
kinematics
platforms
kinetics

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

A finite element method for transient analysis of concurrent large deformation and mass transport in gels. / Zhang, Jiaping; Zhao, Xuanhe; Suo, Zhigang; Jiang, Hanqing.

In: Journal of Applied Physics, Vol. 105, No. 9, 093522, 2009.

Research output: Contribution to journalArticle

@article{692992b93f194f0b80b43ee725ed9cc3,
title = "A finite element method for transient analysis of concurrent large deformation and mass transport in gels",
abstract = "A gel is an aggregate of polymers and solvent molecules. The polymers crosslink into a three-dimensional network by strong chemical bonds and enable the gel to retain its shape after a large deformation. The solvent molecules, however, interact among themselves and with the network by weak physical bonds and enable the gel to be a conduit of mass transport. The time-dependent concurrent process of large deformation and mass transport is studied by developing a finite element method. We combine the kinematics of large deformation, the conservation of the solvent molecules, the conditions of local equilibrium, and the kinetics of migration to evolve simultaneously two fields: the displacement of the network and the chemical potential of the solvent. The finite element method is demonstrated by analyzing several phenomena, such as swelling, draining and buckling. This work builds a platform to study diverse phenomena in gels with spatial and temporal complexity.",
author = "Jiaping Zhang and Xuanhe Zhao and Zhigang Suo and Hanqing Jiang",
year = "2009",
doi = "10.1063/1.3106628",
language = "English (US)",
volume = "105",
journal = "Journal of Applied Physics",
issn = "0021-8979",
publisher = "American Institute of Physics Publising LLC",
number = "9",

}

TY - JOUR

T1 - A finite element method for transient analysis of concurrent large deformation and mass transport in gels

AU - Zhang, Jiaping

AU - Zhao, Xuanhe

AU - Suo, Zhigang

AU - Jiang, Hanqing

PY - 2009

Y1 - 2009

N2 - A gel is an aggregate of polymers and solvent molecules. The polymers crosslink into a three-dimensional network by strong chemical bonds and enable the gel to retain its shape after a large deformation. The solvent molecules, however, interact among themselves and with the network by weak physical bonds and enable the gel to be a conduit of mass transport. The time-dependent concurrent process of large deformation and mass transport is studied by developing a finite element method. We combine the kinematics of large deformation, the conservation of the solvent molecules, the conditions of local equilibrium, and the kinetics of migration to evolve simultaneously two fields: the displacement of the network and the chemical potential of the solvent. The finite element method is demonstrated by analyzing several phenomena, such as swelling, draining and buckling. This work builds a platform to study diverse phenomena in gels with spatial and temporal complexity.

AB - A gel is an aggregate of polymers and solvent molecules. The polymers crosslink into a three-dimensional network by strong chemical bonds and enable the gel to retain its shape after a large deformation. The solvent molecules, however, interact among themselves and with the network by weak physical bonds and enable the gel to be a conduit of mass transport. The time-dependent concurrent process of large deformation and mass transport is studied by developing a finite element method. We combine the kinematics of large deformation, the conservation of the solvent molecules, the conditions of local equilibrium, and the kinetics of migration to evolve simultaneously two fields: the displacement of the network and the chemical potential of the solvent. The finite element method is demonstrated by analyzing several phenomena, such as swelling, draining and buckling. This work builds a platform to study diverse phenomena in gels with spatial and temporal complexity.

UR - http://www.scopus.com/inward/record.url?scp=67249085163&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=67249085163&partnerID=8YFLogxK

U2 - 10.1063/1.3106628

DO - 10.1063/1.3106628

M3 - Article

VL - 105

JO - Journal of Applied Physics

JF - Journal of Applied Physics

SN - 0021-8979

IS - 9

M1 - 093522

ER -