Abstract
Photo-thermal-pH triple-responsive hydrogels are special kinds of smart materials which can respond to changes in ambient temperature, pH, and light intensity simultaneously. In this paper, a field theory is developed for the photo-thermal-pH triple-responsive hydrogels by incorporating effects of dissociation of acidic groups and photo-thermal conversion into the thermodynamic theory of temperature-sensitive hydrogels. Constitutive equations are derived by means of the free energy imbalance inequality. The feasibility of the presented model is tested and validated by comparing the simulation results for stress-free swelling with the available experimental data. Moreover, the sensitivities of the presented model to changes in temperature, pH, and light intensity are further studied through the biaxial constrained swelling case, and the factors affecting deformation is investigated numerically.
References
1.
Gil
, E. S.
, and Hudson
, S. M.
, 2004
, “Stimuli-Reponsive Polymers and Their Bioconjugates
,” Prog. Polym. Sci.
, 29
(12
), pp. 1173
–1222
. 10.1016/j.progpolymsci.2004.08.0032.
Yin
, L.
, Yuan
, Z.
, and He
, L.
, 2004
, “Model Development and Numerical Simulation of Temperature-Sensitive Hydrogels
,” Comp. Mater. Sci.
, 31
(3–4
), pp. 299
–308
. 10.1016/j.commatsci.2004.03.0193.
Kurnia
, J. C.
, Birgersson
, E.
, and Mujumdar
, A. S.
, 2012
, “Analysis of a Model for pH-Sensitive Hydrogels
,” Polymer
, 53
(2
), pp. 613
–622
. 10.1016/j.polymer.2011.11.0544.
Luo
, R.
, Li
, H.
, and Lam
, K. Y.
, 2009
, “Modeling the Effect of Environmental Solution pH on the Mechanical Characteristics of Glucose-Sensitive Hydrogels
,” Biomaterials
, 30
(4
), pp. 690
–700
. 10.1016/j.biomaterials.2008.10.0085.
He
, H. Y.
, Li
, L.
, and Lee
, L. J.
, 2008
, “Photopolymerization and Structure Formation of Methacrylic Acid Based Hydrogels: The Effect of Light Intensity
,” React. Funct. Polymer.
, 68
(1
), pp. 103
–113
. 10.1016/j.reactfunctpolym.2007.10.0066.
Zhang
, R.
, Tang
, M.
, Bowyer
, A.
, Eisenthal
, R.
, and Hubble
, J.
, 2005
, “A Novel pH- and Ionic-Strength-Sensitive Carboxy Methyl Dextran Hydrogel
,” Biomaterials
, 26
(22
), pp. 4677
–4683
. 10.1016/j.biomaterials.2004.11.0487.
Lai
, F. K.
, and Li
, H.
, 2010
, “Transient Modeling for Kinetic Swelling/Deswelling of the Ionic-Strength-Sensitive Hydrogel
,” Eur. Phys. J. E.
, 31
(3
), pp. 269
–274
. 10.1140/epje/i2010-10572-88.
Jeong
, S.
, Jun
, P. S.
, Shin
, M. S.
, and Kim
, S. I.
, 2002
, “Characteristics of Electrical Responsive Chitosan/Polyallylamine Interpenetrating Polymer Network Hydrogel
,” J. Appl. Polym. Sci.
, 86
(9
), pp. 2290
–2295
. 10.1002/app.112179.
Zrinyi
, K.
, Szabo
, D.
, and Kilian
, H. G.
, 1998
, “Kinetics of the Shape Change of Magnetic Field Sensitive Polymer Gels
,” Poly. Gels. Netw.
, 6
(6
), pp. 441
–454
. 10.1016/S0966-7822(98)00033-110.
Richter
, A.
, Paschew
, G.
, Klatt
, S.
, Lienig
, J.
, Arndt
, K. F.
, and Adler
, H. J. P.
, 2008
, “Review on Hydrogel-Based pH Sensors and Microsensors
,” Sensors
, 8
(1
), pp. 561
–581
. 10.3390/s801056111.
Zhu
, J.
, and Marchant
, R. E.
, 2011
, “Design Properties of Hydrogel Tissue-Engineering Scaffolds
,” Expert. Rev. Med. Devic.
, 8
(5
), pp. 607
–626
. 10.1586/erd.11.2712.
Brock
, D.
, Lee
, W.
, Segalman
, D.
, and Witkowski
, W.
, 1994
, “A Dynamic Model of a Linear Actuator Based on Polymer Hydrogel
,” J. Intel. Mat. Syst. Str.
, 5
(6
), pp. 764
–771
. 10.1177/1045389X940050060613.
He
, T.
, Li
, M.
, and Zhou
, J.
, 2012
, “Modeling Deformation and Contacts of pH Sensitive Hydrogels for Microfluidic Flow Control
,” Soft Matter
, 8
(11
), pp. 3083
–3089
. 10.1039/c2sm06749h14.
Lamberti
, G.
, Cascone
, S.
, Titomanlio
, G.
, and Barba
, A. A.
, 2012
, “Controlled Release of Drugs From Hydrogel Based Matrices Systems: Experiments and Modeling
,” Chem. Biochem. Eng. Q.
, 26
(4
), pp. 321
–330
.15.
Das
, M.
, Sanson
, N.
, Fava
, D.
, and Kumacheva
, E.
, 2007
, “Microgels Loaded with Gold Nanorods: Photothermally Triggered Volume Transitions Under Physiological Conditions
,” Langmuir
, 23
(1
), pp. 196
–201
. 10.1021/la061596s16.
Guo
, W.
, Wang
, T.
, Tang
, X.
, Zhang
, Q.
, Yu
, F.
, and Pei
, M.
, 2014
, “Triple Stimuli-Responsive Amphiphilic Glycopolymer
,” J. Polym. Sci. Pol. Chem.
, 52
(15
), pp. 2131
–2138
. 10.1002/pola.2722217.
Shi
, S.
, Wang
, Q.
, Wang
, T.
, Ren
, S.
, Gao
, Y.
, and Wang
, N.
, 2014
, “Thermo, pH, and Light-Responsive Poly(N-Isopropylacrylamide-Comethacrylic Acid)−Au Hybrid Microgels Prepared by the In Situ Reduction Method Based on Au-Thiol Chemistry
,” J. Phys. Chem. B
, 118
(25
), pp. 7177
–7186. 10.1021/jp502747718.
Li
, L.
, Lu
, B.
, Zhang
, Y.
, Xing
, X.
, Wu
, X.
, and Liu
, Z.
, 2015
, “Multi-Sensitive Copolymer Hydrogels of N-Isopropylacrylamide With Several Polymerizable Azobenzene-Containing Monomers
,” J. Polym. Res.
, 22
(9
), p. 176
. 10.1007/s10965-015-0787-219.
Cai
, S.
, and Suo
, Z.
, 2011
, “Mechanics and Chemical Thermodynamics of Phase Transition in Temperature-Sensitive Hydrogels
,” J. Mech. Phys. Solids
, 59
(11
), pp. 2259
–2278
. 10.1016/j.jmps.2011.08.00820.
Chester
, S. A.
, and Anand
, L.
, 2011
, “A Thermo-Mechanically Coupled Theory for Fluid Permeation in Elastomeric Materials: Application to Thermally Responsive Gels
,” J. Mech. Phys. Solids
, 59
(10
), pp. 1978
–2006
. 10.1016/j.jmps.2011.07.00521.
Cheng
, L.
, Zhi
, D.
, Xu
, S.
, Liu
, H.
, and Hu
, Y.
, 2013
, “A Lattice Model for Thermally-Sensitive Core–Shell Hydrogels
,” J. Colloid. Interface Sci.
, 406
, pp. 148
–153
. 10.1016/j.jcis.2013.06.00522.
Ding
, Z.
, Liu
, Z.
, Hu
, J.
, Swaddiwudhipong
, S.
, and Yang
, Z.
, 2013
, “Inhomogeneous Large Deformation Study of Temperature-Sensitive Hydrogel
,” Int. J. Solids Struct.
, 50
(16–17
), pp. 2610
–2619
. 10.1016/j.ijsolstr.2013.04.01123.
Li
, M.
, Geng
, J.
, and Zhou
, J.
, 2014
, “Constrained Swelling and Instability of a Temperature-Sensitive Hydrogel Ring
,” e-Polym.
, 14
(1
), pp. 103
–106
.24.
Drozdov
, A. D.
, 2014
, “Swelling of Thermo-Responsive Hydrogels
,” Eur. Phys. J. E.
, 37
(10
), p. 93
. 10.1140/epje/i2014-14093-225.
Ding
, Z.
, Toh
, W.
, Hu
, J.
, Liu
, Z.
, and Ng
, T. Y.
, 2016
, “A Simplified Coupled Thermo-Mechanical Model for The Transient Analysis of Temperature-Sensitive Hydrogels
,” Mech. Mater.
, 97
, pp. 212
–227
. 10.1016/j.mechmat.2016.02.01826.
Mazaheri
, H.
, Baghani
, M.
, and Naghdabadi
, R.
, 2016
, “Inhomogeneous and Homogeneous Swelling Behavior of Temperature Sensitive Poly-(N-Isopropylacrylamide) Hydrogels
,” J. Intel. Mat. Syst. Str.
, 27
(3
), pp. 324
–336
. 10.1177/1045389X1557138127.
Li
, H.
, Ng
, T. Y.
, Yew
, Y. K.
, and Lam
, K. Y.
, 2005
, “Modeling and Simulation of the Swelling Behavior of pH-Stimulus-Responsive Hydrogels
,” Biomacromolecules
, 6
(1
), pp. 109
–120
. 10.1021/bm049645828.
Marcombe
, R.
, Cai
, S.
, Hong
, W.
, Zhao
, X.
, Lapusta
, Y.
, and Suo
, Z.
, 2010
, “A Theory of Constrained Swelling of a pH-Sensitive Hydrogel
,” Soft Matter
, 6
(4
), pp. 784
–793
. 10.1039/b917211d29.
Li
, H.
, and Yew
, Y. K.
, 2010
, “Numerical Analysis of Soft pH-Sensitive Hydrogel: Effect of Multivalent Ionic Compositions
,” Polym. Eng. Sci.
, 50
(3
), pp. 429
–439
. 10.1002/pen.2156330.
Yan
, H.
, and Jin
, B.
, 2012
, “Influence of Environmental Solution pH and Microstructural Parameters on Mechanical Behavior of Amphoteric pH-Sensitive Hydrogels
,” Eur. Phys. J. E.
, 35
(5
), p. 36
. 10.1140/epje/i2012-12036-731.
Yan
, H.
, and Jin
, B.
, 2013
, “Equilibrium Swelling of a Polyampholytic pH-Sensitive Hydrogel
,” Eur. Phys. J. E.
, 36
(3
), p. 27
. 10.1140/epje/i2013-13027-x32.
Yan
, H.
, Jin
, B.
, Gao
, S.
, and Chen
, L.
, 2014
, “Equilibrium Swelling and Electrochemistry of Polyampholytic pH-Sensitive Hydrogel
,” Int. J. Solids Struct.
, 51
(23–24
), pp. 4149
–4156
. 10.1016/j.ijsolstr.2014.08.01633.
Drozdov
, A. D.
, 2015
, “Swelling of pH-Responsive Cationic Gels: Constitutive Modeling and Structure–Property Relations
,” Int. J. Solids Struct.
, 64–65
, pp. 176
–190
. 10.1016/j.ijsolstr.2015.03.02334.
Drozdov
, A. D.
, and deClaville
, C. J.
, 2015
, “Swelling of pH-Sensitive Hydrogels
,” Phys. Rev. E.
, 91
(2
), p. 022305
. 10.1103/PhysRevE.91.02230535.
Dunn
, M. L.
, 2007
, “Photomechanics of Mono- and Polydomain Liquid Crystal Elastomer Films
,” J. Appl. Phys.
, 102
(1
), p. 013506
. 10.1063/1.274506336.
Long
, K. N.
, Scott
, T. F.
, Dunn
, M. L.
, and Jerry Qi
, H.
, 2011
, “Photo-Induced Deformation of Active Polymer Films: Single Spot Irradiation
,” Int. J. Solids Struct.
, 48
(14–15
), pp. 2089
–2101
. 10.1016/j.ijsolstr.2011.02.02737.
Long
, K. N.
, Scott
, T. F.
, Jerry Qi
, H.
, Bowman
, C. N.
, and Dunn
, M. L.
, 2009
, “Photomechanics of Light-Activated Polymers
,” J. Mech. Phys. Solids.
, 57
(7
), pp. 1103
–1121
. 10.1016/j.jmps.2009.03.00338.
Toshchevikov
, V. P.
, Saphiannikova
, M.
, and Heinrich
, G.
, 2012
, “Theory of Light-Induced Deformation of Azobenzene Elastomers: Influence of Network Structure
,” J. Chem. Phys.
, 137
(2
), pp. 24903
–24913
. 10.1063/1.473166339.
Drozdov
, A. D.
, Sanporean
, C. G.
, and Christiansen
, J. d.
, 2015
, “Modeling the Effects of Temperature and pH on Swelling of Stimuli-Responsive Gels
,” Eur. Polym. J.
, 73
, pp. 278
–296
. 10.1016/j.eurpolymj.2015.10.02540.
Dehghany
, M.
, Zhang
, H.
, Naghdabadi
, R.
, and Hu
, Y.
, 2018
, “A Thermodynamically-Consistent Large Deformation Theory Coupling Photochemical Reaction and Electrochemistry for Light-Responsive Gels
,” J. Mech. Phys. Solids
, 116
, pp. 239
–266
. 10.1016/j.jmps.2018.03.01841.
Toh
, W.
, Ng
, T. Y.
, Hu
, J.
, and Liu
, Z.
, 2014
, “Mechanics of Inhomogeneous Large Deformation of Photo-Thermal Sensitive Hydrogels
,” Int. J. Solids Struct.
, 51
(25–26
), pp. 4440
–4451
. 10.1016/j.ijsolstr.2014.09.01442.
Xuan
, C.
, and Jin
, L.
, 2019
, “Concurrent Reaction and Diffusion in Photo-Responsive Hydrogels
,” J. Mech. Phys. Solids.
, 124
, pp. 599
–611
. 10.1016/j.jmps.2018.11.00443.
Richardson
, H. H.
, Carlson
, M. T.
, Tandler
, P. J.
, Hernandez
, P.
, and Govorov
, A. O.
, 2009
, “Experimental and Theoretical Studies of Light-to-Heat Conversion and Collective Heating Effects in Metal Nanoparticle Solutions
,” Nano. Lett.
, 9
(3
), pp. 1139
–1146
. 10.1021/nl803690544.
Hong
, W.
, Zhao
, X.
, Zhou
, J.
, and Suo
, Z.
, 2008
, “A Theory of Coupled Diffusion and Large Deformation in Polymeric Gels
,” J. Mech. Phys. Solids.
, 56
(5
), pp. 1779
–1793
. 10.1016/j.jmps.2007.11.01045.
Hong
, W.
, Liu
, Z.
, and Suo
, Z.
, 2009
, “Inhomogeneous Swelling of a Gel in Equilibrium With a Solvent and Mechanical Load
,” Int. J. Solids Struct.
, 46
(17
), pp. 3282
–3289
. 10.1016/j.ijsolstr.2009.04.02246.
Xue
, S.
, Lin
, S.
, Li
, B.
, and Feng
, X.
, 2017
, “A Nonlinear Poroelastic Theory of Solid Tumors With Glycosaminoglycan Swelling
,” J. Theor. Biol.
, 433
, pp. 49
–56
. 10.1016/j.jtbi.2017.08.02147.
Liu
, Z.
, Toh
, W.
, and Ng
, T. Y.
, 2015
, “Advances in Mechanics of Soft Materials: A Review of Large Deformation Behavior of Hydrogels
,” Int. J. Appl. Mech.
, 7
(5
), p. 1530001
. 10.1142/S175882511530001148.
Toh
, W.
, Ding
, Z.
, Ng
, T. Y.
, and Liu
, Z.
, 2015
, “Wrinkling of a Polymeric Gel During Transient Swelling
,” ASME J. Appl. Mech.
, 82
(6
), p. 061004
. 10.1115/1.403032749.
Suzuki
, A.
, 1993
, “Phase Transition in Gels of Sub-Millimeter Size Induced By Interaction With Stimuli
,” Adv. Polym. Sci.
, 110
(1
), pp. 199
–240
. 10.1007/BFb0021134Copyright © 2020 by ASME
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