메뉴 건너뛰기




Volumn 46, Issue 17, 2009, Pages 3282-3289

Inhomogeneous swelling of a gel in equilibrium with a solvent and mechanical load

Author keywords

Elastomer; Finite element method; Gel; Hyperelasticity; Swelling

Indexed keywords

COMMERCIAL SOFTWARE; CONCENTRATION OF; DEFORMATION GRADIENTS; ENERGY FUNCTIONS; FINITE-ELEMENT; GEOMETRIC CONSTRAINT; HYPER ELASTIC; HYPERELASTICITY; INDEPENDENT VARIABLES; MECHANICAL LOADS; SWELLING PROCESS;

EID: 67249152749     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijsolstr.2009.04.022     Document Type: Article
Times cited : (484)

References (47)
  • 1
    • 0016953740 scopus 로고
    • Continuum theories of mixtures: basic theory and historical development
    • Atkin R.J., and Craine R.E. Continuum theories of mixtures: basic theory and historical development. Q. J. Mech. Appl. Math. 29 (1976) 209-244
    • (1976) Q. J. Mech. Appl. Math. , vol.29 , pp. 209-244
    • Atkin, R.J.1    Craine, R.E.2
  • 2
    • 0038581829 scopus 로고    scopus 로고
    • Diffusion of a fluid through an elastic solid undergoing large deformation
    • Baek S., and Srinivasa A.R. Diffusion of a fluid through an elastic solid undergoing large deformation. Int. J. Non-linear Mech. 39 (2004) 201-218
    • (2004) Int. J. Non-linear Mech. , vol.39 , pp. 201-218
    • Baek, S.1    Srinivasa, A.R.2
  • 3
    • 0034611669 scopus 로고    scopus 로고
    • Functional hydrogel structures for autonomous flow control inside microfluidic channels
    • Beebe D.J., Moore J.S., Bauer J.M., Yu Q., Liu R.H., Devadoss C., and Jo B.H. Functional hydrogel structures for autonomous flow control inside microfluidic channels. Nature 404 (2000) 588-590
    • (2000) Nature , vol.404 , pp. 588-590
    • Beebe, D.J.1    Moore, J.S.2    Bauer, J.M.3    Yu, Q.4    Liu, R.H.5    Devadoss, C.6    Jo, B.H.7
  • 4
    • 27644547076 scopus 로고    scopus 로고
    • Development and modeling of electrically triggered hydrogels for microfluidic applications
    • Bassetti M.J., Chatterjee A.N., Aluru N.R., and Beebe D.J. Development and modeling of electrically triggered hydrogels for microfluidic applications. J. Microelectromech. Syst. 14 (2005) 1198-1207
    • (2005) J. Microelectromech. Syst. , vol.14 , pp. 1198-1207
    • Bassetti, M.J.1    Chatterjee, A.N.2    Aluru, N.R.3    Beebe, D.J.4
  • 5
    • 0345643551 scopus 로고
    • General theory of three-dimensional consolidation
    • Biot M.A. General theory of three-dimensional consolidation. J. Appl. Phys. 12 (1941) 155-164
    • (1941) J. Appl. Phys. , vol.12 , pp. 155-164
    • Biot, M.A.1
  • 6
    • 0035576676 scopus 로고    scopus 로고
    • Swelling and mechanical stretching of elastomeric materials
    • Boyce M.C., and Arruda E.M. Swelling and mechanical stretching of elastomeric materials. Math. Mech. Solids 6 (2001) 641-659
    • (2001) Math. Mech. Solids , vol.6 , pp. 641-659
    • Boyce, M.C.1    Arruda, E.M.2
  • 7
    • 38749122402 scopus 로고    scopus 로고
    • Highly responsive hydrogel scaffolds formed by three-dimensional organization of microgel nanoparticles
    • Cho E.C., Kim J.W., Fernandez-Nieves A., and Weitz D.A. Highly responsive hydrogel scaffolds formed by three-dimensional organization of microgel nanoparticles. Nano Lett. 8 (2008) 168-172
    • (2008) Nano Lett. , vol.8 , pp. 168-172
    • Cho, E.C.1    Kim, J.W.2    Fernandez-Nieves, A.3    Weitz, D.A.4
  • 8
    • 33947575206 scopus 로고    scopus 로고
    • Swelling of an internally pressurized nonlinearly elastic tube with fiber reinforcing
    • Demirkoparan H., and Pence T.J. Swelling of an internally pressurized nonlinearly elastic tube with fiber reinforcing. Int. J. Solids Struct. 44 (2007) 4009-4029
    • (2007) Int. J. Solids Struct. , vol.44 , pp. 4009-4029
    • Demirkoparan, H.1    Pence, T.J.2
  • 9
    • 33746718118 scopus 로고    scopus 로고
    • Adaptive liquid microlenses activated by stimuli-responsive hydrogels
    • Dong L., Agarwal A.K., Beebe D.J., and Jiang H.R. Adaptive liquid microlenses activated by stimuli-responsive hydrogels. Nature 442 (2006) 551-554
    • (2006) Nature , vol.442 , pp. 551-554
    • Dong, L.1    Agarwal, A.K.2    Beebe, D.J.3    Jiang, H.R.4
  • 10
    • 23244442688 scopus 로고    scopus 로고
    • A numerical strategy for investigating the kinetic response of stimulus-responsive hydrogels
    • Dolbow J., Fried E., and Ji H. A numerical strategy for investigating the kinetic response of stimulus-responsive hydrogels. Comput. Meth. Appl. Mech. Eng. 194 (2005) 4447-4480
    • (2005) Comput. Meth. Appl. Mech. Eng. , vol.194 , pp. 4447-4480
    • Dolbow, J.1    Fried, E.2    Ji, H.3
  • 11
    • 33749227620 scopus 로고
    • Nonlinear swelling of polymer gels
    • Durning C.J., and Morman K.N. Nonlinear swelling of polymer gels. J. Chem. Phys. 98 (1993) 4275-4293
    • (1993) J. Chem. Phys. , vol.98 , pp. 4275-4293
    • Durning, C.J.1    Morman, K.N.2
  • 12
    • 33645687846 scopus 로고
    • Statistical mechanics of cross-linked polymer networks II swelling
    • Flory P.J., and Rehner J. Statistical mechanics of cross-linked polymer networks II swelling. J. Chem. Phys. 11 (1943) 521-526
    • (1943) J. Chem. Phys. , vol.11 , pp. 521-526
    • Flory, P.J.1    Rehner, J.2
  • 13
    • 0024939127 scopus 로고
    • Equilibrium characterization of fluid-saturated continua and an interpretation of the saturation boundary condition assumption for solid-fluid mixtures
    • Gandhi M.V., and Usman M. Equilibrium characterization of fluid-saturated continua and an interpretation of the saturation boundary condition assumption for solid-fluid mixtures. Int. J. Eng. Sci. 27 (1989) 539-548
    • (1989) Int. J. Eng. Sci. , vol.27 , pp. 539-548
    • Gandhi, M.V.1    Usman, M.2
  • 14
    • 0024916593 scopus 로고
    • On the non-homogenous finite swelling of a nonlinearly elastic cylinder with a rigid core
    • Gandhi M.V., and Usman M. On the non-homogenous finite swelling of a nonlinearly elastic cylinder with a rigid core. Int. J. Nonliner Mech. 24 (1989) 251-261
    • (1989) Int. J. Nonliner Mech. , vol.24 , pp. 251-261
    • Gandhi, M.V.1    Usman, M.2
  • 15
    • 0024715610 scopus 로고
    • Combined extension and torsion of a swollen cylinder within the context of mixture theory
    • Gandhi M.V., Usman M., Wineman A.S., and Rajagopal K.R. Combined extension and torsion of a swollen cylinder within the context of mixture theory. Acta Mech. 19 (1989) 81-96
    • (1989) Acta Mech. , vol.19 , pp. 81-96
    • Gandhi, M.V.1    Usman, M.2    Wineman, A.S.3    Rajagopal, K.R.4
  • 17
    • 67249143449 scopus 로고    scopus 로고
    • Gibbs, J.W., 1878. The scientific papers of J. Willard Gibbs, pp. 184, 201, 215. Digital copy of the book is freely available at .
    • Gibbs, J.W., 1878. The scientific papers of J. Willard Gibbs, pp. 184, 201, 215. Digital copy of the book is freely available at .
  • 18
    • 41749089776 scopus 로고    scopus 로고
    • A theory of coupled diffusion and large deformation in polymeric gels
    • Hong W., Zhao X.H., Zhou J.X., and Suo Z.G. A theory of coupled diffusion and large deformation in polymeric gels. J. Mech. Phys. Solids 56 (2008) 1779-1793
    • (2008) J. Mech. Phys. Solids , vol.56 , pp. 1779-1793
    • Hong, W.1    Zhao, X.H.2    Zhou, J.X.3    Suo, Z.G.4
  • 19
    • 55249092470 scopus 로고    scopus 로고
    • Drying-induced bifurcation in a hydrogel-actuated nanostructures
    • Hong W., Zhao X.H., and Suo Z.G. Drying-induced bifurcation in a hydrogel-actuated nanostructures. J. Appl. Phys. 104 (2008) 084905
    • (2008) J. Appl. Phys. , vol.104 , pp. 084905
    • Hong, W.1    Zhao, X.H.2    Suo, Z.G.3
  • 21
    • 0029341566 scopus 로고
    • Synthesis and application of modulated polymer gels
    • Hu Z.B., Zhang X.M., and Li Y. Synthesis and application of modulated polymer gels. Science 269 (1995) 525-527
    • (1995) Science , vol.269 , pp. 525-527
    • Hu, Z.B.1    Zhang, X.M.2    Li, Y.3
  • 22
    • 28344435980 scopus 로고    scopus 로고
    • Gel mechanics: a comparision of the theories of Biot and Tanaka, Hocker, and Benedek
    • Hui C.Y., and Muralidharan V. Gel mechanics: a comparision of the theories of Biot and Tanaka, Hocker, and Benedek. J. Chem. Phys. 123 (2005) 154905
    • (2005) J. Chem. Phys. , vol.123 , pp. 154905
    • Hui, C.Y.1    Muralidharan, V.2
  • 24
    • 22344439401 scopus 로고    scopus 로고
    • Deployment of swelling elastomer packers in Shell E&P
    • SPE/IADC Amsterdam, The Netherlands, 23-25 February
    • Kleverlaan, M., van Noort, R.H., Jones, I., 2005. Deployment of swelling elastomer packers in Shell E&P, SPE/IADC Conference, 92346 Amsterdam, The Netherlands, 23-25 February 2005.
    • (2005) Conference, 92346
    • Kleverlaan, M.1    van Noort, R.H.2    Jones, I.3
  • 25
    • 33847274716 scopus 로고    scopus 로고
    • Shaping of elastic sheets by prescription of non-Euclidean metrices
    • Klein Y., Efrati E., and Sharon E. Shaping of elastic sheets by prescription of non-Euclidean metrices. Science 315 (2007) 1116-1120
    • (2007) Science , vol.315 , pp. 1116-1120
    • Klein, Y.1    Efrati, E.2    Sharon, E.3
  • 26
    • 40449093249 scopus 로고    scopus 로고
    • Multi-membrane hydrogels
    • Ladet S., David L., and Domard A. Multi-membrane hydrogels. Nature 452 (2008) 76-79
    • (2008) Nature , vol.452 , pp. 76-79
    • Ladet, S.1    David, L.2    Domard, A.3
  • 27
    • 0035385135 scopus 로고    scopus 로고
    • Hydrogels for tissue engineering
    • Lee K.Y., and Mooney D.J. Hydrogels for tissue engineering. Chem. Rev. 101 (2001) 1869-1879
    • (2001) Chem. Rev. , vol.101 , pp. 1869-1879
    • Lee, K.Y.1    Mooney, D.J.2
  • 28
    • 34250664687 scopus 로고    scopus 로고
    • Modeling of multiphase smart hydrogels responding to pH and electric voltage coupled stimuli
    • Li H., Luo R., Birgersson E., and Lam K.Y. Modeling of multiphase smart hydrogels responding to pH and electric voltage coupled stimuli. J. Appl. Phys. 101 (2007) 114905
    • (2007) J. Appl. Phys. , vol.101 , pp. 114905
    • Li, H.1    Luo, R.2    Birgersson, E.3    Lam, K.Y.4
  • 29
    • 33745135423 scopus 로고    scopus 로고
    • Hydrogels in biology and medicine: from molecular principles to bionanotechnology
    • Peppas N.A., Hilt J.Z., Khademhosseini A., and Langer R. Hydrogels in biology and medicine: from molecular principles to bionanotechnology. Adv. Mater. 18 (2006) 1345-1360
    • (2006) Adv. Mater. , vol.18 , pp. 1345-1360
    • Peppas, N.A.1    Hilt, J.Z.2    Khademhosseini, A.3    Langer, R.4
  • 30
    • 0011198242 scopus 로고
    • On boundary conditions for a certain class of problems in mixture theory
    • Rajagopal K.R., Wineman A.S., and Gandhi M. On boundary conditions for a certain class of problems in mixture theory. Int. J. Eng. Sci. 24 (1986) 1453-1463
    • (1986) Int. J. Eng. Sci. , vol.24 , pp. 1453-1463
    • Rajagopal, K.R.1    Wineman, A.S.2    Gandhi, M.3
  • 32
    • 0015484025 scopus 로고
    • The application of Newton's method to the problem of elastic stability
    • Riks E. The application of Newton's method to the problem of elastic stability. J. Appl. Mech. 39 (1972) 1060-1066
    • (1972) J. Appl. Mech. , vol.39 , pp. 1060-1066
    • Riks, E.1
  • 33
    • 0012541410 scopus 로고
    • Thermodynamics and hydrodynamics of chemical gels
    • Sekimoto K. Thermodynamics and hydrodynamics of chemical gels. J. Phys. II 1 (1991) 19-36
    • (1991) J. Phys. II , vol.1 , pp. 19-36
    • Sekimoto, K.1
  • 34
    • 0019697091 scopus 로고
    • Applications of the theory of interacting continua to the diffusion of a fluid through a nonlinearly elastic media
    • Shi J.J., Rajagopal K.R., and Wineman A.S. Applications of the theory of interacting continua to the diffusion of a fluid through a nonlinearly elastic media. Int. J. Eng. Sci. 19 (1981) 871
    • (1981) Int. J. Eng. Sci. , vol.19 , pp. 871
    • Shi, J.J.1    Rajagopal, K.R.2    Wineman, A.S.3
  • 35
    • 33846590878 scopus 로고    scopus 로고
    • Reversible switching of hydrogel-actuated nanostructures into complex micropatterns
    • Sidorenko A., Krupenkin T., Taylor A., Fratzl P., and Aizenberg J. Reversible switching of hydrogel-actuated nanostructures into complex micropatterns. Science 315 (2007) 487-490
    • (2007) Science , vol.315 , pp. 487-490
    • Sidorenko, A.1    Krupenkin, T.2    Taylor, A.3    Fratzl, P.4    Aizenberg, J.5
  • 36
    • 0041739700 scopus 로고
    • Inhomogeneous swelling in filled elastomers
    • Sternstein S.S. Inhomogeneous swelling in filled elastomers. J. Macromol. Sci. Phys. B6 1 (1972) 243-262
    • (1972) J. Macromol. Sci. Phys. , vol.B6 , Issue.1 , pp. 243-262
    • Sternstein, S.S.1
  • 37
    • 0001319020 scopus 로고
    • Effect of constraints on the equilibrium swelling of rubber vulcanizates
    • Southern E., and Thomas A.G. Effect of constraints on the equilibrium swelling of rubber vulcanizates. J. Polym. Sci. A 3 (1965) 641-646
    • (1965) J. Polym. Sci. A , vol.3 , pp. 641-646
    • Southern, E.1    Thomas, A.G.2
  • 38
    • 0042080449 scopus 로고
    • The swelling of cross-linked amorphous polymers under strain
    • Treloar L.R.G. The swelling of cross-linked amorphous polymers under strain. Trans. Faraday Soc. 46 (1950) 783-789
    • (1950) Trans. Faraday Soc. , vol.46 , pp. 783-789
    • Treloar, L.R.G.1
  • 40
    • 0016918845 scopus 로고
    • Swelling of bonded-rubber cylinders
    • Treloar L.R.G. Swelling of bonded-rubber cylinders. Polymer 17 (1976) 142-146
    • (1976) Polymer , vol.17 , pp. 142-146
    • Treloar, L.R.G.1
  • 41
    • 39749091638 scopus 로고    scopus 로고
    • Creasing instability of surface-attached hydrogels
    • Trujillo V., Kim J., and Hayward R.C. Creasing instability of surface-attached hydrogels. Soft Matter 4 (2008) 564-569
    • (2008) Soft Matter , vol.4 , pp. 564-569
    • Trujillo, V.1    Kim, J.2    Hayward, R.C.3
  • 42
    • 4444219733 scopus 로고    scopus 로고
    • Swelling induced finite strain flexure in a rectangular block of an isotropic elastic material
    • Tsai H., Pence T.J., and Kirkinis E. Swelling induced finite strain flexure in a rectangular block of an isotropic elastic material. J. Elasticity 75 (2004) 69-89
    • (2004) J. Elasticity , vol.75 , pp. 69-89
    • Tsai, H.1    Pence, T.J.2    Kirkinis, E.3
  • 43
    • 42649119114 scopus 로고    scopus 로고
    • Actuator designs using environmentally responsive hydrogels
    • Westbrook K.K., and Qi H.J. Actuator designs using environmentally responsive hydrogels. J. Intelligent Mater. Syst. Struct. 19 (2008) 597-607
    • (2008) J. Intelligent Mater. Syst. Struct. , vol.19 , pp. 597-607
    • Westbrook, K.K.1    Qi, H.J.2
  • 44
    • 0011757065 scopus 로고
    • Hydrophilic gels for biological use
    • Wichterle O., and Lim D. Hydrophilic gels for biological use. Nature 185 (1960) 117-118
    • (1960) Nature , vol.185 , pp. 117-118
    • Wichterle, O.1    Lim, D.2
  • 45
    • 39649115200 scopus 로고    scopus 로고
    • Partitioning microfluidics channels with hydrogel to construct tunable 3-D cellular microenvironments
    • Wong A.P., Perez-Castillejos R., Love J.C., and Whitesides G.M. Partitioning microfluidics channels with hydrogel to construct tunable 3-D cellular microenvironments. Biomaterials 29 (2008) 1853-1861
    • (2008) Biomaterials , vol.29 , pp. 1853-1861
    • Wong, A.P.1    Perez-Castillejos, R.2    Love, J.C.3    Whitesides, G.M.4
  • 46
    • 46749106127 scopus 로고    scopus 로고
    • One-step nanoscale assembly of complex structures via harnessing of an elastic instability
    • Zhang Y., Matsumoto E.A., Peter A., Lin P.C., Kamien R.D., and Yang S. One-step nanoscale assembly of complex structures via harnessing of an elastic instability. Nano Lett. 8 (2008) 1192-1196
    • (2008) Nano Lett. , vol.8 , pp. 1192-1196
    • Zhang, Y.1    Matsumoto, E.A.2    Peter, A.3    Lin, P.C.4    Kamien, R.D.5    Yang, S.6
  • 47
    • 38949083461 scopus 로고    scopus 로고
    • Inhomogeneous and anisotropic equilibrium state of a swollen hydrogel containing a hard core
    • Zhao X.H., Hong W., and Suo Z.G. Inhomogeneous and anisotropic equilibrium state of a swollen hydrogel containing a hard core. Appl. Phys. Lett. 92 (2008) 051904
    • (2008) Appl. Phys. Lett. , vol.92 , pp. 051904
    • Zhao, X.H.1    Hong, W.2    Suo, Z.G.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.