Modeling and simulation of hydrogels for the application as bending actuators

Progress in Colloid and Polymer Science

Volumn 140, Issue , 2013, Pages 189-204

  Wallmersperger, T ^a   Attaran, A ^a   Keller, K ^b   Brummund, J ^a   Guenther, M ^c   Gerlach, G ^c  

^a INSTITUTE OF SOLID MECHANICS   (Germany)

^b UNIVERSITY OF STUTTGART   (Germany)

^c DRESDEN UNIVERSITY OF TECHNOLOGY   (Germany)

Author keywords

Bending actuator; Chemo electro mechanical model; Finite element simulation; Hydrogel; Multi field formulation

Indexed keywords

EID: 84983235641     PISSN: 0340255X     EISSN: None     Source Type: Book Series    
DOI: 10.1007/978-3-319-01683-2_15     Document Type: Chapter

References (44)

1. 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):1-24
2. Flory J, Rehner J (1943) Statistical mechanics of cross-linked polymer networks i. Rubberlike elasticity. J Chem Phys 11(11):512-520
3. Flory J, Rehner J (1943) Statistical mechanics of cross-linked polymer networks ii. Swelling. J Chem Phys 11(11):521-526
4. Doi M, Matsumoto M, Hirose Y (1992) Deformation of ionic polymer gels by electric fields. Macromolecules 25:5504-5511
5. Shiga T, Kurauchi T (1990) Deformation of polyelectrolyte gels under the influence of electric field. J Appl Polym Sci 39:2305-2320
6. Shahinpoor M (1995) Micro-electro-mechanics of ionic polymeric gels as electrically controllable artificial muscles. J Intell Mater Syst Struct 6:307-314
7. Brock D, Lee W, Segalman D, Witkowski W (1994) A dynamic model of a linear actuator based on polymer hydrogel. J Intell Mater Syst Struct 5:764-771
8. Grimshaw PE, Nussbaum JH, Grodzinsky AJ, Yarmush ML (1990) Kinetics of electrically and chemically induced swelling in polyelectrolyte gels. J Chem Phys 93(6):4462-4472
9. de Gennes PG, Okumura K, Shahinpoor M, Kim KJ (2000) Mechanoelectric effects in ionic gels. Europhys Lett 50(4):513-518
10. Tamagawa H, Taya M (2000) A theoretical prediction of the ions distribution in an amphoteric polymer gel. Mater Sci Eng A 285 (1-2):314-325
11. Li H, Luo R, Lam KY (2007) Modeling of ionic transport in electric-stimulus-responsive hydrogels. J Membr Sci 289(1-2): 284-296
12. De SK, Aluru NR (2004) A chemo-electro-mechanical mathematical model for simulation of pH sensitive hydrogels. Mech Mater 36(5-6):395-410
13. Li H, Lai F (2011) Transient analysis of the effect of the initial fixed charge density on the kinetic characteristics of the ionic-strength-sensitive hydrogel by a multi-effect-coupling model. Anal Bioanal Chem 399(3):1233-1243
14. Wallmersperger T, Kröplin B, Holdenried J, Gülch RW (2001) A coupled multi-field formulation for ionic polymer gels in electric fields. In: Bar-Cohen Y (ed) 8th international symposium on smart structures and materials, Newport Beach. Electroactive polymer actuators and devices, vol 4329. SPIE, pp 264-275
15. Wallmersperger T, Kröplin B, Gülch R (2004) Coupled chemo-electro-mechanical formulation for ionic polymer gels-numerical and experimental investigations. Mech Mater 36(5-6):411-420
16. Keller K, Wallmersperger T, Kröplin B, Günther M, Gerlach G (2011) Modelling of temperature-sensitive polyelectrolyte gels by the use of the coupled chemo-electro-mechanical formulation. Mech Mater 18(7):511-523
17. Gerlach G, Guenther M, Sorber J, Suchaneck G, Arndt K-F, Richter A (2005) Chemical and pH sensors based on the swelling behavior of hydrogels. Sens Actuators B Chem 111-112:555-561
18. Orlov Y, Xu X, Maurer G (2006) Equilibrium swelling of N-isopropylacrylamide based ionic hydrogels in aqueous solutions of organic solvents: comparison of experiment with theory. Fluid Phase Equilibria 249(1-2):6-16
19. Orlov Y, Xu X, Maurer G (2007) An experimental and theoretical investigation on the swelling of N-isopropylacrylamide based ionic hydrogels in aqueous solutions of (sodium chloride or di-sodium hydrogen phosphate). Fluid Phase Equilibria 254(1-2):1-10
20. Ermatchkov V, Ninni L, Maurer G (2010) Thermodynamics of phase equilibrium for systems containing N-isopropylacrylamide hydrogels. Fluid Phase Equilibria 296:140-148
21. Scharfer P, Schabel W, Kind M (2007) Mass transport measurements in membranes by means of in situ Raman spetroscopy-first results of methanol and water profils in fuel cell membranes. J Membr Sci 303:37-42
22. Scharfer P, Schabel W, Kind M (2008) Modelling of alcohol and water diffusion in fuel cell membranes. Chem Eng Sci 63(19):4676-4684
23. Yoon J, Cai S, Suo Z, Hayward RC (2010) Poroelastic swelling kinetics of thin hydrogel layers: comparison of theory and experiment. Soft Matter 6(23):6004-6012
24. Prudnikova K, Utz M (2012) Electromechanical equilibrium properties of poly(acrylic acid/acrylamide) hydrogels. Macromolecules 45(2):1041-1045
25. Mann BA, Kremer K, Holm C (2006) The swelling behavior of charged hydrogels. Macromol Symp 237(1):90-107
26. Quesada-Perez M, Maroto-Centeno J, Forcada J, Hidalgo-Alvarez R (2011) Gel swelling theories: the classical formalism and recent approaches. Soft Matter 7:10536
27. Sun DN, Gu WY, Guo XE, Lai WM, Mow VC (1999) A mixed finite element formulation of triphasic mechano-electrochemical theory for charged, hydrated biological soft tissues. Int J Numer Methods Eng 45(10):1375-1402
28. van Loon R, Huyghe JM, Wijlaars MW, Baaijens FPT (2003) 3D FE implementation of an incompressible quadriphasic mixture model. Int J Numer Methods Eng 57(9):1243-1258
29. Ehlers W, Markert B, Acartürk A (2002) A continuum approach for 3-d finite viscoelastic swelling of charged tissues and gels. In: Eberhardsteiner J, Mang HA, Rammerstorfer FG (eds) Proceedings of the fifth world congress on computational mechanics, Vienna, 7-12 July 2002
30. Acartürk A (2009) Simulation of charged hydrated porous materials. PhD thesis, Universität Stuttgart, Stuttgart
31. Walter J, Ermatchkov V, Vrabec J, Hasse H (2010) Molecular dynamics and experimental study of conformation change of poly(N-isopropylacrylamide) hydrogels in water Fluid Phase Equilibria 296:164-172
32. Wallmersperger T, Wittel FK, D’Ottavio M, Kröplin B (2008) Mul-tiscale modeling of polymer gels-chemo-electric model versus discrete element model. Mech Adv Mater Struct 15(3-4):228-234
33. Guenther M, Gerlach G, Wallmersperger T (2009) Non-linear effects in hydrogel-based chemical sensors: experiment and modeling. J Intell Mater Syst Struct 20(8):949-961
34. Bouklas N, Huang R (2012) Swelling kinetics of polymer gels: comparison of linear and nonlinear theories. Soft Matter 8(31):8194-8203
35. Lucantonio A, Nardinocchi P (2012) Reduced models of swelling-induced bending of gel bars. Int J Solids Struct 49(11-12):1399-1405
36. Sadowski G (2011) Special themed issue on “responsive gels”. Colloid Polym Sci 289:453
37. Li D, Yang H, Emmerich H (2011) Phase field model simulations of hydrogel dynamics under chemical stimulation. Colloid Polym Sci 289(5-6):513-521
38. Tabatabaei F, Lenz O, Holm C (2011) Simulational study of anomalous tracer diffusion in hydrogels. Colloid Polym Sci 289 (5-6):523-534
39. Wallmersperger T, Keller K, Kröplin B, Günther M, Gerlach G (2011) Modeling and simulation of pH-sensitive hydrogels. Colloid Polym Sci 289(5-6):535-544
40. Poggendorf S, Mba GA, Engel D, Sadowski G (2011) Diffusion of poly(ethylene glycol) and ectoine in NIPAAm hydrogels with confocal Raman spectroscopy. Colloid Polym Sci 289(5-6):545-559
41. Mase G (1969) Schaum’s outline of continuum mechanics. McGraw-Hill, New York
42. Wallmersperger T, Ballhause D (2008) Coupled chemo-electro-mechanical FE-simulation of hydrogels-Part II: electrical stimulation. Smart Mater Struct 17(4):045012
43. Wallmersperger T, Ballhause D, Kröplin B, Günther M, Gerlach G (2009) Coupled multi-field formulation in space and time for the simulation of intelligent hydrogels. J Intell Mater Syst Struct 20(12):1483-1492
44. Ballhause D, Wallmersperger T (2008) Coupled chemo-electro-mechanical FE-simulation of hydrogels-Part I: chemical stimulation. Smart Mater Struct 17(4):045011