Smart Hydrogel Modelling / Edition 1 available in Hardcover
- Pub. Date:
- Springer Berlin Heidelberg
The science of mathematical modelling and numerical simulation is generally accepted as the third mode of scienti?c discovery (with the other two modes being experiment and analysis), making this ?eld an integral component of c- ting edge scienti?c and industrial research in most domains. This is especially so in advanced biomaterials such as polymeric hydrogels responsive to biostimuli for a wide range of potential BioMEMS applications, where multiphysics and mul- phase are common requirements. These environmental stimuli-responsive hydrogels are often known as smart hydrogels. In the published studies on the smart or stimu- responsive hydrogels, the literature search clearly indicates that the vast majority are experimental based. In particular, although there are a few published books on the smart hydrogels, none is involved in the modelling of smart hydrogels. For the few published journal papers that conducted mathematical modelling and numerical simulation, results were far from satisfactory, and showed signi?cant d- crepancies when compared with existing experimental data. This has resulted in ad hoc studies of these hydrogel materials mainly conducted by trial and error. This is a very time-consuming and inef?cient process, and certain aspects of fun- mental knowledge are often missed or overlooked, resulting in off-tangent research directions.
|Publisher:||Springer Berlin Heidelberg|
|Product dimensions:||6.30(w) x 9.20(h) x 1.00(d)|
Table of ContentsChapter One Introduction 1.1 Definition and Applications of Hydrogel 1.2 Historical Development of Modelling Hydrogel 1.2.1 Steady-State Modeling for Equilibrium of Smart Hydrogels 184.108.40.206 Mathematical Models and Simulations 220.127.116.11.1 Thermodynamic Models 18.104.22.168.2 Transport Models 22.214.171.124.3 Multiphase Mixture Theory 126.96.36.199.4 Molecular Simulation 188.8.131.52.5 Remarks 184.108.40.206 Key Parameters in Steady-State Modeling for Equilibrium of Hydrogels 220.127.116.11.1 Hydrogel Composition 18.104.22.168.2 Preparation History 22.214.171.124.3 Electrolytes 126.96.36.199.4 Crosslinkers and Crosslink Density 188.8.131.52.5 Surfactants 184.108.40.206.6 Solvents 220.127.116.11.7 Metal Ions 18.104.22.168.8 Hydrogen Bonding Effect 22.214.171.124.9 Water State 1.2.2 Transient Modelling for Kinetics of Smart Hydrogels 126.96.36.199 Mathematical Models and Simulations 188.8.131.52.1 Phenomenal Model 184.108.40.206.2 Power Law Model 220.127.116.11.3 Multi-Field Model 18.104.22.168 Key Parameters in Transient Modeling for Kinetics of Hydrogels 22.214.171.124.1 Environmental Medium 126.96.36.199.2 Composition of Hydrogels 188.8.131.52.3 Salt 184.108.40.206.4 Crosslink Density 220.127.116.11.5 Diffusion Coefficient 1.2.3 A Theoretical Formalism for Diffusion Coupled with Large Deformation of Hydrogel 1.2.4 Remarks 1.3 About This Monograph Chapter Two Multi-Effect-Coupling pH-Stimulus (MECpH) Model for pH-Sensitive Hydrogel 2.1 Introduction 2.2 Development of the MECpH model 2.2.1 Electrochemical Formulation 18.104.22.168 Ionic Flux 22.214.171.124 Electrical Potential 126.96.36.199 Fixed Charge Group 2.2.2 Mechanical Formulation 2.3 Computational Domain, Boundary Condition and Numerical Implementation 2.4 Model Validation with Experiment 2.5 Parameter Studies by Steady-State Simulation for Equilibrium of Hydrogel 2.5.1 Influence of Initially Fixed Charge Density of Hydrogel 2.5.2 Influence of Young Modulus of Hydrogel 2.5.3 Influence of Initial Geometry of Hydrogel 2.5.4 Influence of Ionic Strength of Bath Solution 2.5.5 Influence of Multivalent Ionic Composition of Bath Solution 2.6 Remarks Chapter Three Multi-Effect-Coupling Electric-Stimulus (MECe) Model for Electric-Sensitive Hydrogels 3.1 Introduction 3.2 Development of the MECe model 3.2.1 Formulation of the MECe Governing Equations 3.2.2 Boundary and Initial Conditions 3.3 Steady-State Simulation for Equilibrium of Hydrogel 3.3.1 Numerical Implementation 3.3.2 Model Validation with Experiment 3.3.3 Parameter Studies 188.8.131.52 Influence of Externally Applied Electric Voltage 184.108.40.206 Influence of Initially Fixed Charge Density of Hydrogel 220.127.116.11 Influence of Concentration of Bath Solution 18.104.22.168 Influence of Ionic Valence of Bath Solution 3.4 Transient Simulation for Kinetics of Hydrogel 3.4.1 Numerical Implementation 3.4.2 Model Validation with Experiment 3.4.3 Parameter Studies 22.214.171.124 Variation of Electric Potential Distribution with time 126.96.36.199 Variation of Ionic Concentration Distribution with time 188.8.131.52 Variation of Hydrogel Displacement Distribution with time 184.108.40.206 Variation of Hydrogel Average Curvature with time 3.5 Remarks Chapter Four Multi-Effect-Coupling pH-Electric-stimuli (MECpHe) Model for Smart Hydrogel Responsive to pH-Electric Coupled Stimuli 4.1 Introduction 4.2 Development of the MECpHe model 4.3 Numerical Implementation 4.4 Model Validation with Experiment 4.5 Parameter Studies by Steady-State Simulation for Equilibrium of Hydrogel 4.5.1 Influence of solut