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Physics of polymer gels

Sakai, Takamasa.

Physics of polymer gels

Sakai, Takamasa.

9783527346547

9783527346530

Weinheim : Wiley-VCH, 2020.

1 online resource (301 pages)

5.1.3 Principal Direction and Strain

Cover -- Title Page -- Copyright -- Contents -- Preface -- Acknowledgements -- Part I Theories -- Chapter 1 Single Polymer Chain -- 1.1 General Features -- 1.1.1 Conformation of a Polymer Chain -- 1.1.2 Coarse-Graining of a Polymer Chain -- 1.1.3 Free Rotation Model -- 1.2 Statistics of a Single Polymer Chain -- 1.2.1 End-to-End Distance of a 1D Random Walk -- 1.2.2 End-to-End Distance of a 3D Random Walk -- 1.2.3 Force Needed to Stretch an Ideal Chain -- 1.3 Scaling of a Single Polymer Chain -- 1.3.1 Stretching of an Ideal Chain -- 1.3.2 Real Chains -- 1.3.3 Stretching of a Real Chain

Column 1: Miscible Gels and Immiscible Gels -- References -- Chapter 2 Polymer Solution -- 2.1 Polymer Chains in Solution -- 2.1.1 Chain Swelling in a Good Solvent -- 2.1.2 Existing Conditions of an Ideal Chain and a Real Chain -- 2.2 Effect of Concentration on the Polymer Conformation -- 2.2.1 Overlapping Concentration -- 2.2.2 Semidilute Solution -- 2.2.3 Blobs in Semidilute Solution -- 2.3 Osmotic Pressure of a Polymer Solution -- 2.3.1 Entropy Change in Mixing -- 2.3.2 Enthalpy Change in Mixing -- 2.3.3 Basic Equation of Osmotic Pressure -- 2.3.4 Phase Separation of the Polymer Solution

2.3.5 Scaling of Osmotic Pressure -- Column 2: Blob Size of a Polymer Gel -- References -- Chapter 3 Definition of Polymer Gels and Rubber Elasticity -- 3.1 Elasticity of Gels -- 3.2 Definition of Polymer Gels -- 3.2.1 Criterion for Gelation by Rheology -- 3.2.2 Criterion for Gelation by Scattering -- 3.3 Mesh Size of a Polymer Gel -- 3.4 Elastic Modulus -- 3.4.1 Affine Network Model -- 3.4.2 Phantom Network Model -- 3.5 Network Strands and Crosslinks -- 3.5.1 Percolate Network Model -- 3.5.2 Bethe Approximation -- 3.6 Topological Interaction -- 3.7 Sol-Gel Transition

3.7.1 Gelation Threshold of Bethe Approximation -- 3.7.2 Gelation Threshold from the Percolation Model -- 3.8 Heterogeneity of Polymer Gels -- Column 3: Elastic Deformation and Plastic Deformation -- References -- Chapter 4 Swelling and Deswelling -- 4.1 Changes in the Elastic Modulus Due to Swelling/Deswelling -- 4.1.1 Statistical Model for Networks Consisting of Ideal Chains -- 4.1.2 Scaling for Networks Consisting of Nonideal Chains -- 4.1.3 Scaling for Highly Deswollen Networks -- 4.2 Equilibrium Swelling -- 4.2.1 Scaling Prediction of the Equilibrium Swelling

4.2.2 Statistical Mechanics of Equilibrium Swelling -- 4.3 Volume Phase Transition -- 4.3.1 Electrically Neutral Gels -- 4.3.2 Electrically Charged Gels -- 4.4 Swelling/Shrinking Kinetics -- 4.5 Degradation of Polymer Gels -- 4.5.1 Degradation by Cleavage of Specific Bonds -- 4.5.2 Degradation by Cleavage of Nonspecific Bonds -- Column 4: Diffusions of Polymer Network During Swelling -- References -- Chapter 5 Deformation and Fracture -- 5.1 Description of Deformation -- 5.1.1 Displacement Vector -- 5.1.2 Strain Tensor -- 5.1.2.1 Normal Strain -- 5.1.2.2 Shear Strain

This book elucidates in detail the physics of polymer gels and reviews their unique properties that make them attractive for innumerable applications. Geared towards experienced researchers and entrants to the field, it covers rubber elasticity, swelling and shrinking, deformation and fracture of as well as mass transport in polymer gels, enabling the readers to purposefully design polymer gels fit for specific purposes. Divided into two parts, Physics of Polymer Gels starts by explaining the statistical mechanics and scaling of a polymer chains, and that of polymer solutions. It then introduces the structure of polymer gels and explains the rubber elasticity, which predicts the solid-like nature of polymer gels. Next, it describes swelling/deswelling, which can be understood by combining the rubber elasticity and the osmotic pressure of a polymer solution. Large deformation and fracture, and the diffusion of substances in polymer gels, which are essential for practical applications, are also introduced. The last half of the book contains the authors' experimental results using Tetra-PEG gels and provides readers with the opportunity to examine and compare it with the first half in order to understand how to utilize the models to experiments.

John Wiley and Sons

Polymer colloids.

Colloïdes polymères.

Textiles & Polymers.

Physical & Theoretical.

Chemistry.

SCIENCE.

Materials Science.

TECHNOLOGY & ENGINEERING.

Polymer colloids

Electronic books.

Sakai, Takamasa.

https://onlinelibrary.wiley.com/doi/book/10.1002/9783527346547