Modeling and simulation of the bending behavior of electrically-stimulated cantilevered hydrogels

Smart Materials and Structures

Volumn 24, Issue 3, 2015, Pages

  Attaran, Abdolhamid ^a   Brummund, Jörg ^a   Wallmersperger, Thomas ^a  

^a INSTITUTE OF SOLID MECHANICS   (Germany)

Author keywords

bending movement; chemo electro mechanical continuum model; continuum mechanics of mixtures; finite element method; numerical simulation; polyelectrolyte gels

Indexed keywords

COMPUTER SIMULATION; CONTINUUM MECHANICS; ELECTRIC FIELDS; HYDROGELS; MIXTURES; NUMERICAL METHODS; NUMERICAL MODELS; POLYELECTROLYTES; SODIUM CHLORIDE;

BENDING MOVEMENT; CONTINUUM MODELING; GOVERNING EQUATIONS; INITIAL CONCENTRATION; MODEL AND SIMULATION; NUMERICAL IMPLEMENTATION; NUMERICAL TREATMENTS; POLYELECTROLYTE GELS;

FINITE ELEMENT METHOD;

EID: 84923339745     PISSN: 09641726     EISSN: 1361665X     Source Type: Journal    
DOI: 10.1088/0964-1726/24/3/035021     Document Type: Article

References (65)

1. Horkay F and McKenna G 2007 Polymer networks and gels Physical Properties of Polymers Handbook ed J Mark (New York: Springer) pp 497-523
2. Wallmersperger T, Kröplin B and Gülch R W 2004 Coupled chemo-electro-mechanical formulation for ionic polymer gels - numerical and experimental investigations Mech. Mater. 36 411-20
3. Arndt K-F, Kuckling D and Richter A 2000 Application of sensitive hydrogels in flow control Polym. Adv. Technol. 11 496-505
4. Gerlach G, Guenther M, Sorber J, Suchaneck G, Arndt K-F and Richter A 2005 Chemical and pH sensors based on the swelling behavior of hydrogels Sensors Actuators B 111-112 555-61
5. Lin C-C and Metters A T 2006 Hydrogels in controlled release formulations: network design and mathematical modeling Adv. Drug Deliv. Rev. 58 1379-408
6. Hoare T R and Kohane D S 2008 Hydrogels in drug delivery: progress and challenges Polymer 49 1993-2007
7. Li Y and Tanaka T 1990 Kinetics of swelling and shrinking of gels J. Chem. Phys. 92 1365
8. Durning C and Morman K N 1993 Nonlinear swelling of polymer gels J. Chem. Phys. 98 4275
9. Lele A, Badiger M, Hirve M and Mashelkar R 1995 Thermodynamics of hydrogen-bonded polymer gel-solvent systems Chem. Eng. Sci. 50 3535-45
10. Baker J P, Blanch H W and Prausnitz J M 1995 Swelling properties of acrylamide-based ampholytic hydrogels: comparison of experiment with theory Polymer 36 1061-9
11. English A E, Mafé S, Manzanares J A, Yu X, Grosberg A Y and Tanaka T 1996 Equilibrium swelling properties of polyampholytic hydrogels J. Chem. Phys. 104 8713
12. English A E, Tanaka T and Edelman E R 1998 Polyampholytic hydrogel swelling transitions: limitations of the Debye-Hückel law Macromolecules 31 1989-95
13. Suzuki A and Hara T 2001 Kinetics of one-dimensional swelling and shrinking of polymer gels under mechanical constraint J. Chem. Phys. 114 5012
14. Dolbow J, Fried E and Ji H 2004 Chemically induced swelling of hydrogels J. Mech. Phys. Solids 52 51-84
15. Doi M 2009 Gel dynamics J. Phys. Soc. Japan 78 052001
16. Wu M and Kirchner H 2010 Nonlinear elasticity modeling of biogels J. Mech. Phys. Solids 58 300-10
17. Bouklas N and Huang R 2012 Swelling kinetics of polymer gels: comparison of linear and nonlinear theories Soft Matter 8 8194-203
18. Lucantonio A, Nardinocchi P and Teresi L 2013 Transient analysis of swelling-induced large deformations in polymer gels J. Mech. Phys. Solids 61 205-18
19. Shiga T and Kurauchi T 1990 Deformation of polyelectrolyte gels under the influence of electric field J. Appl. Polym. Sci. 39 2305-20
20. Grimshaw P E, Nussbaum J H, Grodzinsky A J and Yarmush M L 1990 Kinetics of electrically and chemically induced swelling in polyelectrolyte gels J. Chem. Phys. 93 4462
21. Doi M, Matsumoto M and Hirose Y 1992 Deformation of ionic polymer gels by electric fields Macromolecules 25 5504-11
22. Shiga T, Hirose Y, Okada A and Kurauchi T 1993 Electrically driven polymer gel finger working in the air J. Intell. Mater. Syst. Struct. 4 553-7
23. Shahinpoor M 1995 Micro-Electro-Mechanics of ionic polymeric gels as electrically controllable artificial muscles J. Intell. Mater. Syst. Struct. 6 307-14
24. Maurer G and Prausnitz J 1996 Thermodynamics of phase equilibrium for systems containing gels Fluid Phase Equilib. 115 113-33
25. Guelch R W, Holdenried J, Weible A, Wallmersperger T and Kroeplin B 2000 Polyelectrolyte gels in electric fields: a theoretical and experimental approach Proc. SPIE 3987 193
26. De S K and Aluru N 2004 A chemo-electro-mechanical mathematical model for simulation of pH sensitive hydrogels Mech. Mater. 36 395-410
27. Bassetti M, Chatterjee A, Aluru N and Beebe D 2005 Development and modeling of electrically triggered hydrogels for microfluidic applications J. Microelectromech. Syst. 14 1198-207
28. Luo R, Li H and Lam K Y 2007 Coupled chemo-electro-mechanical simulation for smart hydrogels that are responsive to an external electric field Smart Mater. Struct. 16 1185-91
29. Ballhause D and Wallmersperger T 2008 Coupled chemo-electro-mechanical finite element simulation of hydrogels: I. Chemical stimulation Smart Mater. Struct. 17 45011
30. Wallmersperger T and Ballhause D 2008 Coupled chemo-electro-mechanical finite element simulation of hydrogels: II. Electrical stimulation Smart Mater. Struct. 17 45012
31. Lucantonio A and Nardinocchi P 2012 Reduced models of swelling-induced bending of gel bars Int. J. Solids Struct. 49 1399-405
32. Wallmersperger T, Attaran A, Keller K, Brummund J, Guenther M and Gerlach G 2013 Modeling and simulation of hydrogels for the application as bending actuators Progress in Colloid and Polymer Science (Intelligent Hydrogels vol 140) ed G Sadowski and W Richtering (Berlin: Springer) pp 189-204
33. Guenther M, Wallmersperger T, Keller K and Gerlach G 2013 Swelling behaviour of functionalized hydrogels for application in chemical sensors Progress in Colloid and Polymer Science (Intelligent Hydrogels vol 140) ed G Sadowski and W Richtering (Berlin: Springer) pp 265-73
34. Flory P J and Rehner J 1943 Statistical Mechanics of Cross-Linked Polymer Networks: I. Rubberlike elasticity J. Chem. Phys. 11 512-20
35. Flory P J and Rehner J 1943 Statistical mechanics of cross-linked polymer networks: II. Swelling J. Chem. Phys. 11 521-6
36. Hasa J, Ilavský M and Dušek K 1975 Deformational, swelling, and potentiometric behavior of ionized poly(methacrylic acid) gels: I. Theory J. Polym. Sci. 13 253-62
37. Brannon-Peppas L and Peppas N 1991 Equilibrium swelling behavior of pH-sensitive hydrogels Chem. Eng. Sci. 46 715-22
38. Şen M and Güven O 2001 Prediction of the swelling behaviour of amphiphilic hydrogels and the determination of average molecular weight between cross-links Comput. Theor. Polym. Sci. 11 475-82
39. Oliveira E D, Silva A F and Freitas R F 2004 Contributions to the thermodynamics of polymer hydrogel systems Polymer 45 1287-93
40. Kim J W and Bae Y C 2010 Closed-packed lattice model for polymer solution systems considering the chain length dependence effect: correlating LLE, VLE, and gel swelling behaviors using identical interaction energy parameters Fluid Phase Equilib. 299 75-83
41. Prudnikova K and Utz M 2012 Electromechanical equilibrium properties of poly(acrylic acid/acrylamide) hydrogels Macromolecules 45 1041-5
42. Segalman D J, Witkowski W R, Adolf D B and Shahinpoor M 1992 Theory and application of electrically controlled polymeric gels Smart Mater. Struct. 1 95-100
43. Segalman D J, Witkowski W R, Rao R R, Adolf D B and Shahinpoor M 1993 Finite element simulation of the 2D collapse of a polyelectrolyte gel disk Proc. SPIE 1916 14
44. Segalman D J and Witkowski W R 1995 Two-dimensional finite element analysis of a polymer gel drug delivery system Mater. Sci. Eng. C 2 243-9
45. Wallmersperger T, Kröplin B, Holdenried J and Guelch R W 2001 Coupled multifield formulation for ionic polymer gels in electric fields Proc. SPIE 4329 264
46. Wallmersperger T, Ballhause D and Kröplin B 2007 On the Modeling of Polyelectrolyte Gels Macromol. Symp. 254 306-13
47. Wallmersperger T, Ballhause D, Kröplin B, Günther M and Gerlach G 2009 Coupled multi-field formulation in space and time for the simulation of intelligent hydrogels J. Intell. Mater. Syst. Struct. 20 1483-92
48. Wallmersperger T, Keller K, Kröplin B, Günther M and Gerlach G 2011 Modeling and simulation of pH-sensitive hydrogels Colloid Polym. Sci. 289 535-44
49. De S, Aluru N, Johnson B, Crone W, Beebe D and Moore J 2002 Equilibrium swelling and kinetics of pH-responsive hydrogels: models, experiments, and simulations J. Microelectromech. Syst. 11 544-55
50. 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 6 109-20
51. 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 1779-93
52. Huyghe J and Janssen J 1997 Quadriphasic mechanics of swelling incompressible porous media Int. J. Eng. Sci. 35 793-802
53. Levenston M, Eisenberg S and Grodzinsky A 1998 A variational formulation for coupled physicochemical flows during finite deformations of charged porous media Int. J. Solids Struct. 35 4999-5019
54. Sun D N, Gu W Y, Guo X E, Lai W M and Mow V C 1999 A mixed finite element formulation of triphasic mechano-electrochemical theory for charged, hydrated biological soft tissues Int. J. Numer. Methods Eng. 45 1375-402
55. Achilleos E, Christodoulou K and Kevrekidis I 2001 A transport model for swelling of polyelectrolyte gels in simple and complex geometries Comput. Theor. Polym. Sci. 11 63-80
56. Bennethum L and Cushman J 2002 Multicomponent, multiphase thermodynamics of swelling porous media with electroquasistatics: I. Macroscale field equations Transp. Porous Media 47 309-36
57. Bennethum L and Cushman J 2002 Multicomponent, multiphase thermodynamics of swelling porous media with electroquasistatics: II. Constitutive theory Transp. Porous Media 47 337-62
58. Loret B and Simões F M 2004 Articular cartilage with intra- and extrafibrillar waters: a chemo-mechanical model Mech. Mater. 36 515-41
59. Loret B and Simões F M F 2005 Mechanical effects of ionic replacements in articular cartilage: I. The constitutive model Biomech. Model. Mechanobiol. 4 63-80
60. Ehlers W 2009 Challenges of porous media models in geo-and biomechanical engineering including electro-chemically active polymers and gels Int. J. Adv. Eng. Sci. Appl. Math. 1 1-24
61. Acartürk A 2009 Simulation of charged hydrated porous materials Ph.D. Thesis Universität Stuttgart
62. Huyghe J M, Wilson W and Malakpoor K 2009 On the thermodynamical admissibility of the triphasic theory of charged hydrated tissues J. Biomech. Eng. 131 44504
63. Karajan N 2012 Multiphasic intervertebral disc mechanics: theory and application Arch. Comput. Methods Eng. 19 261-339
64. Truesdell C 1969 Rational Thermodynamics (New York: McGraw-Hill)
65. Bower A F 2009 Applied Mechanics of Solids (Boca Raton, FL: CRC Press)