Abstract
The increasing precision of shapes and displacements required by structures in both, aerospace and precision mechanics, as well as the desire of health monitoring of damaged components, lead to the concept of structures with actuatoric and sensoric capabilities. The basis for the adaptive structures are multi-functional materials.
A very promising representative of these materials are electroactive polymers (EAP). In the first section of this paper we give a short overview on this group of materials. In the following we focus our interest on polyelectrolyte gels which is one key material of EAP. These gels - consisting of a polymer network with fixed ionizable groups and a liquid phase with mobile ions - are distinguished by enormous swelling capabilities under the influence of external physical or chemical stimuli. These properties make them very attractive for a new generation of “pseudomuscular” actuators.
In the present work we investigate chemically and electrically stimulated polymer gels. At first we give a model based on the theory of “swelling of network structures” by Flory (1953). In the third section we present a coupled chemo-electro-mechanical multi-field formulation which is capable to describe the phenomena occurring in the different fields. Then, an overview over the space-time finite element discretization method is given. These unconditionally stable finite elements give the possibility to treat the phenomena in space and time equally.
In the last section, chemical as well as electrical stimulation is considered. The numerical simulation is computed for all the fields involved. The numerical results of the electric potential show a promising correlation with experiments in which the Donnan potential has been registered in PAAm/PAA gels with a new microelectrode technique. For anionic gels, in both theory and experiment “hyperpolarisation”, i.e. increased negativity, can be found on the anode-side of the gel and “depolarisation” on the cathode-side. These changes in the electric potential, which are supposed to affect swelling or deswelling of polyelectrolyte gels, lead to bending deformations of the gel.
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Bibliography
Banks, H. T., Smith, R. C., Wang, Y., 1996. Smart Material Structures: Modeling, Estimation and Control. John Wiley and Sons Ltd, Ch. Smart Materials Technology and Control Application.
Bar-Cohen, Y., 2001. Electroactive Polymer (EAP) Actuators as Artificial Muscles–Reality, Potential, and Challenges. Vol. PM 98. SPIE Press, Bellingham, WA, USA, Ch. EAP History, Current Status, and Infrastructure, pp. 4–44.
Bar-Cohen, Y., Leary, S., Yavrouian, A., Oguro, K., Tadokoro, S., Harrison, J., Smith, J., Su, J., 2000. Challenges to the application of IPMC as actuators of planetary mechanisms. In: Bar-Cohen, Y. (Ed.), 7th International Symposium on Smart Structures and Materials. Electroactive Polymer Actuators and Devices. SPIE, pp. 140–146, newport Beach, 2000.
Barth, T. J., Sethian, J. A., 1997. Numerical schemes for the Hamilton-Jacobi and level set equa- tions on triangulated domains. NAS report NAS-97–022, NASA Ames Research Center.
Brock, D., Lee, W., Segalman, D., Witkowski, W., 1994. A dynamic model of a linear actuator based on polymer hydrogel. J. Intelligent Material Systems and Structures 5, 764–771.
Chiarelli, P., Basser, P. J., Rossi, D. D., Goldstein, S., 1992. The dynamics of a hydrogel strip. Biorheology, 383–398.
deGennes, P. G., Okumura, K., Shahinpoor, M., Kim, K. J., 2000. Mechanoelectric effects in ionic gels. Europhysics Letters 50 (4), 513–518.
Doi, M., Matsumoto, M., Hirose, Y., 1992. Deformation of ionic polymer gels by electric fields. Macromolecules 25, 5504–5511.
Finkelmann, H., Kock, H. J., Rehage, G., 1981. Investigations on liquid crystalline silozanes: 3.liquid crystalline elastomer - a new type of liquid crystalline material. Makromolecular Chemistry 2, 317.
Flory, P. J., 1953. Principles of Polymer Chemistry. Cornell University Press, Ithaca, NY.
Grimshaw, P. E., Nussbaum, J. H., Grodzinsky, A. J., Yarmush, M. L., 1990. Kinetics of electrically and chemically induced swelling in polyelectrolyte gels. J. Chem. Phys. 93 (6), 4462–4472.
Grohmann, B., Konstanzer, P., Lay, A., Wallmersperger, T., Kröplin, B., 11.-12. November 1998. On the principle of adaptive structure systems. In: NAFEMS Seminar “FEM-Anwendungen für adaptive Struktursysteme”. NAFEMS, Magdeburg.
Grohmann, B. A., 2002. Stabilized space-time finite elements for transonic aeroelasticity. Ph.D. thesis, ISD, Universität Stuttgart, shaker Verlag, Aachen.
Gulch, R. W., Holdenried, J., Weible, A., Wallmersperger, T., Kröplin, B., 2000. Polyelectrolyte gels in electric fields: A theoretical and experimental approach. In: Bar-Cohen, Y. (Ed.), 7th International Symposium on Smart Structures and Materials. Vol. 3987 of Electroactive Polymer Actuators and Devices. SPIE, pp. 193–202, newport Beach, 2000.
Hughes, T. J. R., 1987. The Finite Element Method - Linear Static and Dynamic Finite Element Analysis. Prentice-Hall.
Hughes, T. J. R., Franca, L. P., Hulbert, G. M., 1989. A new finite element formulation for computational fluid dynamics: VIII. The Galerkin/least-squares method for advective-diffusive equations. Comput. Methods Appl. Mech. Engrg. 75, 173–189.
Hughes, T. J. R., Hauke, G., Jansen, K., Johan, Z., 1994. Stabilized finite element methods in fluids: Inspirations, origins, status and recent developments. In: Hughes, T. J. R., Onate, E., Zienkiewicz, O. C. (Eds.), Recent Developments in Finite Element Analysis - A Book dedicated to Robert L. Taylor. CIMNE, Barcelona.
Hughes, T. J. R., Hulbert, G. M., 1988. Space-time finite element methods for elastodynamics: formulations and error estimates. Comput. Methods Appl. Mech. Engrg. 66, 339–363.
Hulbert, G. M., 1989. Space-Time Finite Element Methods for Second-Order Hyperbolic Equations. Ph.D. thesis, Stanford University.
Hulbert, G. M., 1992. Time finite element methods for structural dynamics. Int. J. Nu-mer. Meth. Eng. 33, 307–331.
Hulbert, G. M., 1994. A unified set of single-step asymptotic annihilation algorithms for structural dynamics. Comput. Methods Appl. Mech. Engrg. 113, 1–9.
Johnson, C., 1985. Finite Elements in Fluids. John Wiley Sons.
Johnson, C., 1993. Discontinuous Galerkin finite element methods for second order hyperbolic problems. Comput. Methods Appl. Mech. Engrg. 107, 117–129.
Kim, J., Kim, J.-Y., Choe, S. J., 2000. Electro-active papers: its possibility as actuators. In: Bar-Cohen, Y. (Ed.), 7th International Symposium on Smart Structures and Materials. Vol. 3987 of Electroactive Polymer Actuators and Devices. SPIE, newport Beach, 2000.
Lee, W., 1996. Polymer gel based actuator: Dynamic model of gel for real time control. Ph.D. thesis, Massachusetts Institute of Technology, Boston, USA.
Nemat-Nasser, S., Li, J. Y., 2000. Electromechanical response of ionic polymer-metal composites. Journal of Applied Physics 87 (7), 3321–3331.
Neubrand, W., 1999. Modellbildung and Simulation von Elektromembranverfahren. Ph.D. thesis, Universität Stuttgart.
Oguro, K., Kawami, Y., Takenaka, H., 1992. Bending of an ion-conducting polymer film-electrode composite by an electric stimulus at low voltage. Trans. Journal of Micromachine Society 5, 27–30.
Ohmine, I., Tanaka, T., 1982. Salt effects on the phase transition of ionic gels. Journal of Chemical Physics 77 (11), 5725–5729.
Pelrine, R., Kornbluh, R., Pei, Q., Joseph, J., 2000. High speed electrically actuated elastomers with strain greater than 100%. Science 287, 836–839.
Ricka, J., Tanaka, T., 1984. Swelling of ionic gels: Quantitative performance of the donnan theory. Macromolecules 17, 2917–2921.
Schröder, U., Oppermann, W., 1996. Physical Properties of Polymeric Gels. John Wiley and Sons, Ch. Properties of Polyelectrolyte Gels, pp. 19–38.
Schröder, U. P., 1994. Experimentelle and theoretische Untersuchungen an hochgequollenen hydrogelen. Ph.D. thesis, Institut für Textil and Faserchemie der Universität Stuttgart.
Shahinpoor, M., 1995. Micro-electro-mechanics of ionic polymeric gels as electrically controllable artificial muscles. J. Intelligent Material Systems and Structures 6, 307–314.
Shahinpoor, M., 2000. Elastically-activated artificial muscles made with liquid crystal elastomers. In: Bar-Cohen, Y. (Ed.), 7th International Symposium on Smart Structures and Materials. Vol. 3987 of Electroactive Polymer Actuators and Devices. SPIE, pp. 187–192, newport Beach, 2000.
Shakib, F., 1988. Finite element analysis of the compressible euler and navier-stokes equations. Ph.D. thesis, Stanford University.
Shibayama, M., Tanaka, T., 1993. Volume phase transition and related phenomena of polymer gels. In: Responsive Gels: Volume Transitions I. Vol. 109 of Advances in Polymer Science. Springer-Verlag, pp. 1–62.
Shiga, T., Kurauchi, T., 1990. Deformation of polyelectrolyte gels under the influence of electric field. J. of Applied Polymer Science 39, 2305–2320.
Soulaimani, A., Fortin, M., 1994. Finite element solution of compressible viscous flow using conservative variables. Comput. Methods Appl. Mech. Engrg. 118, 319–350.
Tezduyar, T. E., Behr, M., 1992. A new strategy for finite element computations involving moving boundaries and interfaces — The deforming-spatial-domain/space-time procedure: I. The concept and the preliminary numerical tests. Comput. Methods Appl. Mech. Engrg. 94,339— 351.
Thompson, L. L., Sept. 1995. A multi-field space-time finite element method for structural acoustics. In: Design Engineering Technical Conferences. Vol. 3 — Part B. ASME, Boston, pp. 49–64.
Treloar, L. R. G., 1958. The Physics of Rubber Elasticity. Oxford University Press.
Turrin, S., 2003. Protein-based polymers as pseudo-muscular actuators. Master’s thesis, Institut für Statik und Dynamik der Luft-und Raumfahrtkonstruktionen ( ISD ), Universität Stuttgart.
Wallmersperger, T., 2003. Modellierung und Simulation stimulierbarer polyelektrolytischer Gele. Ph.D. thesis, ISD, Universität Stuttgart, Fortschritt-Berichte VDI Reihe 5, VDI-Verlag, Düsseldorf.
Wallmersperger, T., Grohmann, B., Kröplin, B., 1999. Time-discontinuous stabilized space-time finite elements for PDEs of first-and second-order in time. In: European Conference on Computational Mechanics ECCM ‘89. GACM, München, Germany.
Wallmersperger, T., Kröplin, B., Gulch, R. W., 2001. Electroactive Polymer (EAP) Actuators as Artificial Muscles–Reality, Potential, and Challenges. Vol. PM 98. SPIE Press, Bellingham, WA, USA, Ch. Modelling and Analysis of Chemistry and Electromechanics, pp. 285–308.
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Wallmersperger, T., Kröplin, B., Gülch, R.W. (2004). Polyelectrolyte Gels. In: Loret, B., Huyghe, J.M. (eds) Chemo-Mechanical Couplings in Porous Media Geomechanics and Biomechanics. International Centre for Mechanical Sciences, vol 462. Springer, Vienna. https://doi.org/10.1007/978-3-7091-2778-0_13
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DOI: https://doi.org/10.1007/978-3-7091-2778-0_13
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