# Polymer viscoelasticity : basics, molecular theories, and experiments /

**Saved in:**

Author / Creator: | Lin, Y.-H. |
---|---|

Imprint: | Singapore ; River Edge, NJ : World Scientific, 2003. |

Description: | 1 online resource (xii, 251 pages) : illustrations |

Language: | English |

Subject: | Polymers -- Viscosity. Viscoelasticity. TECHNOLOGY & ENGINEERING -- Material Science. Polymers -- Viscosity. Viscoelasticity. Polymeren. Visco-elasticiteit. Electronic book. Electronic books. |

Format: | E-Resource Book |

URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/11179152 |

**Table of Contents:**

- Preface
- 1. Conformation of polymer chains. 1.1. Introduction. 1.2. Probability distribution functions, moments and characteristic functions. 1.3. A central limit theorem. 1.4. The freely jointed chain model. 1.5. Distribution of the end-to-end vector. 1.6. The Gaussian chain. Appendix 1A. The Dirac delta function. References
- 2. Rubber elasticity. 2.1. Introduction. 2.2. Entropy and rubber elasticity. 2.3. Molecular theory for rubber elasticity. References
- 3. Polymer chain dynamics. 3.1. Introduction. 3.2. The Smoluchowski equation. 3.3. The Langevin equation. 3.4. The Rouse model. 3.5. Diffusion motion of the Rouse chain. 3.6. The Rouse normal modes of motion. Appendix 3A. Eigenvalues and eigenvectors of the Rouse matrix. Appendix 3B. The Langevin equation of a particle in a harmonic potential. Appendix 3C. The continuous Rouse model. References
- 4. Linear viscoelasticity. 4.1. Introduction. 4.2. Maxwell equation. 4.3. Boltzmann's superposition principle. 4.4. Relaxation modulus. 4.5. Steady-state shear flow. 4.6. Dynamic-mechanical spectroscopy. 4.7. Steady-state compliance. References
- 5. Stress and strain. 5.1. Stress. 5.2. Finite strain. 5.3. A neo-Hookean material. 5.4. A Newtonian fluid. Appendix 5A. Tensor operations. References
- 6. Molecular theory of polymer viscoelasticity
- elastic dumbbell model. 6.1. Introduction. 6.2. The Smoluchowski equation for an elastic dumbbell. 6.3. Rheological constitutive equation of the elastic dumbbell model. Appendix 6A. Codeformational (convected) time derivative. References
- 7. Molecular theory of polymer viscoelasticity
- the Rouse model . 7.1. The Smoluchowski equation of the Rouse model. 7.2. Rheological constitutive equation of the Rouse model. Appendix 7A. Eigenvalues and the inverse of the Rouse matrix. References
- 8. Molecular theory of polymer viscoelasticity
- entanglement and the Doi-Edwards (reptation) model. 8.1. Introduction. 8.2. The primitive chain. 8.3. Diffusion motion. 8.4. Relaxation modulus. 8.5. Relaxation of stress by reputation. Appendix 8A.
- Tension in a gaussian chain between two fixed points. Appendix 8B.
- Equivalent expressions for rubber elasticity. References.
- 9. Molecular theory of polymer viscoelasticity
- processes in the linear relaxation modulus. 9.1. Intramolecular processes. 9.2. Contour length fluctuation of the primitive chain. 9.3. Relaxation processes before t [symbol] Teq. 9.4. Universality of the G(t) line shape. 9.5. Zero-shear viscosity and steady-state compliance. Appendix 9A. Contour length fluctuations of the primitive chain. Appendix 9B. Rouse motions in an entanglement strand. References
- 10. Comparison of theory and experiment in linear viscoelasticity and diffusion. 10.1. Effects of the molecular-weight distribution of the sample. 10.2. Analysis of the G(t) line shape. 10.3. Zero-shear viscosity and steady-state compliance. 10.4. Viscoelasticity and diffusion. References
- 11. Concentration dependence of entanglement, onset of entanglement, and tube dilation. 11.1. Introduction. 11.2. Entanglement region. 11.3. Entanglement-free region and onset of entanglement. 11.4. Tube dilation. Appendix 11A. Basic form of the blending law in a binary blend. References
- 12. Molecular theory of polymer viscoelasticity
- processes in the nonlinear relaxation modulus. 12.1. Chain-tension relaxation. 12.2. Comparison of theory and experiment. References
- 13. Number of entanglement strands per cubed entanglement distance. 13.1. Introduction. 13.2. Number of entanglement strands per cubed entanglement distance. 13.3. Concentration dependence of n[symbol]. 13.4. Packing of polymer chains. 13.5. Some comments. References
- Index.