Polyelectrolyte gels as bending actuators: modeling and numerical simulation

Polyelectrolyte gels are ionic electroactivematerials. They have the ability to react as both, sensors and actuators. As actuators they can be used e.g. as artificial muscles or drug delivery control; as sensors they may be used for measuring e.g. pressure, pH or other ion concentrations in the solution. In this research both, anionic and cationic polyelectrolyte gels placed in aqueous solution with mobile anions and cations are investigated. Due to external stimuli the polyelectrolyte gels can swell or shrink enormously by the uptake or delivery of solvent. In the present research a coupled multi-field problem within a continuum mechanics framework is proposed. The modeling approach introduces a set of equations governing multiple fields of the problem, including the chemical field of the ionic species, the electrical field and the mechanical field. The numerical simulation is performed by using the Finite Element Method. Within the study some test cases will be carried out to validate our model. In the works by Gülch et al., the application of combined anionic-cationic gels as grippers was shown. In the present research for an applied electric field, the change of the concentrations and the electric potential in the complete polymer is simulated by the given formulation. These changes lead to variations in the osmotic pressure resulting in a bending of different polyelectrolyte gels. In the present research it is shown that our model is capable of describing the bending behavior of anionic or cationic gels towards the different electrodes (cathode or anode).

[1]  P. Nardinocchi,et al.  Reduced models of swelling-induced bending of gel bars , 2012 .

[2]  Mohsen Shahinpoor,et al.  Mechanoelectric effects in ionic gels , 2000 .

[3]  A. Acartürk Simulation of charged hydrated porous materials , 2009 .

[4]  David Brock,et al.  A Dynamic Model of a Linear Actuator Based on Polymer Hydrogel , 1994 .

[5]  Thomas Wallmersperger,et al.  Coupled chemo-electro-mechanical finite element simulation of hydrogels: II. Electrical stimulation , 2008 .

[6]  G. Gerlach,et al.  Chemical and pH sensors based on the swelling behavior of hydrogels , 2005 .

[7]  T. Shiga,et al.  Deformation of polyelectrolyte gels under the influence of electric field , 1990 .

[8]  O. Lenz,et al.  Simulational study of anomalous tracer diffusion in hydrogels , 2010, 1012.1510.

[9]  N. Aluru,et al.  A chemo-electro-mechanical mathematical model for simulation of pH sensitive hydrogels , 2004 .

[10]  K. Kremer,et al.  The Swelling Behavior of Charged Hydrogels , 2006 .

[11]  Thomas Wallmersperger,et al.  Coupled multifield formulation for ionic polymer gels in electric fields , 2001, SPIE Smart Structures and Materials + Nondestructive Evaluation and Health Monitoring.

[12]  J W Gibbs The scientific papers, vol.1 , 1906 .

[13]  G. Sadowski,et al.  Modeling Poly(N-isopropylacrylamide) Hydrogels in Water/Alcohol Mixtures with PC-SAFT , 2012 .

[14]  Manuel Quesada-Pérez,et al.  Gel swelling theories: the classical formalism and recent approaches , 2011 .

[15]  Mohsen Shahinpoor,et al.  Micro-Electro-Mechanics of Ionic Polymeric Gels As Electrically Controllable Artificial Muscles , 1995 .

[16]  Fpt Frank Baaijens,et al.  3D FE implementation of an incompressible quadriphasic mixture model , 2003 .

[17]  Hua Li,et al.  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 , 2011, Analytical and bioanalytical chemistry.

[18]  M. Biot General Theory of Three‐Dimensional Consolidation , 1941 .

[19]  Thomas Wallmersperger,et al.  Non-linear Effects in Hydrogel-based Chemical Sensors: Experiment and Modeling , 2009 .

[20]  Minoru Taya,et al.  A theoretical prediction of the ions distribution in an amphoteric polymer gel , 2000 .

[21]  G. Gerlach,et al.  Modeling and simulation of pH-sensitive hydrogels , 2011 .

[22]  G. Maurer,et al.  AN EXPERIMENTAL AND THEORETICAL INVESTIGATION ON THE SWELLING OF N-ISOPROPYL ACRYLAMIDE BASED IONIC HYDROGELS IN AQUEOUS SOLUTIONS OF (SODIUM CHLORIDE OR DI-SODIUM HYDROGEN PHOSPHATE) , 2007 .

[23]  K. Y. Lam,et al.  Modeling of ionic transport in electric-stimulus-responsive hydrogels , 2007 .

[24]  G. Maurer,et al.  Thermodynamics of phase equilibrium for systems containing N-isopropyl acrylamide hydrogels , 2010 .

[25]  G. Gerlach,et al.  Modeling and Simulation of Hydrogels for the Application as Bending Actuators , 2013 .

[26]  Rui Huang,et al.  Swelling kinetics of polymer gels: comparison of linear and nonlinear theories , 2012 .

[27]  Aaas News,et al.  Book Reviews , 1893, Buffalo Medical and Surgical Journal.

[28]  P. Flory,et al.  STATISTICAL MECHANICS OF CROSS-LINKED POLYMER NETWORKS II. SWELLING , 1943 .

[29]  M. Doi,et al.  Deformation of ionic polymer gels by electric fields , 1992 .

[30]  Thomas Wallmersperger,et al.  Coupled chemo-electro-mechanical formulation for ionic polymer gels––numerical and experimental investigations , 2004 .

[31]  G. Maurer,et al.  Equilibrium swelling of N-isopropyl acrylamide based ionic hydrogels in aqueous solutions of organic solvents: Comparison of experiment with theory , 2006 .

[32]  P. Flory,et al.  Statistical Mechanics of Cross‐Linked Polymer Networks I. Rubberlike Elasticity , 1943 .

[33]  H. Emmerich,et al.  Phase field model simulations of hydrogel dynamics under chemical stimulation , 2011 .

[34]  V. Mow,et al.  A MIXED FINITE ELEMENT FORMULATION OF TRIPHASIC MECHANO-ELECTROCHEMICAL THEORY FOR CHARGED, HYDRATED BIOLOGICAL SOFT TISSUES , 1999 .

[35]  Martin L. Yarmush,et al.  Kinetics of electrically and chemically induced swelling in polyelectrolyte gels , 1990 .

[36]  G. Sadowski,et al.  Diffusion of poly(ethylene glycol) and ectoine in NIPAAm hydrogels with confocal Raman spectroscopy , 2011 .