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Om Polymer Viscoelasticity
This book covers in great detail the Rouse-segment-based molecular theories in polymer viscoelasticity — the Rouse theory and the extended reptation theory (based on the framework of the Doi–Edwards theory) — that have been shown to explain experimental results in a consistently quantitative way. The explanation for the 3.4 power law of viscosity, quantitative line-shape analyses of viscoelastic responses and agreements between different sorts of viscoelastic responses, the consistency between the viscoelasticity and diffusion results, the clarification of the onset of entangelement, the discovery of the number of entanglement strands per cubed entanglement distance being a universal constant and the basic mechanism of the glass transition- related thermorheological complexity are discussed or shown in great detail. The mystery behind the success of the Rouse-segment- based molecular theories over the entropic region of a viscoelastic response is revealed by the Monte Carlo simulations on the Fraenkel chains. Specifically, the simulation studies give a natural explanation for the coexistence of the energy-driven and entropy-driven modes in a viscoelastic response and provide a theoretical basis resolving the paradox that the experimentally determined sizes of Rouse and Kuhn segments are nearly the same. This book starts from a very fundamental level; each chapter is built upon the contents of the previous chapters. Thus, the readers may use the book as a textbook and eventually reach an advanced research level. This book is also a useful source of reference for physicists, chemists and material scientists.Contents: Conformation of Polymer ChainsRubber ElasticityPolymer Chain DynamicsLinear ViscoelasticityStress and StrainMolecular Theory of Polymer Viscoelasticity — Elastic Dumbbell ModelMolecular Theory of Polymer Viscoelasticity — The Rouse ModelMolecular Theory of Polymer Viscoelasticity — Entanglement and the Doi–Edwards (Reptation) ModelMolecular Theory of Polymer Viscoelasticity — The Extended Reptation ModelComparison of the Extended Reptation Theory (ERT) with ExperimentsERT vs. Rouse Theory, Concentration Dependence and Onset of Entanglement, and Tube DilationMolecular Theory of Polymer Viscoelasticity — Nonlinear Relaxation Modulus of Entangled PolymersNumber of Entanglement Strands per Cubed Entanglement Distance, ntGlass Transition-Related Thermorheological Complexity in Polystyrene MeltsThe Basic Mechanism for the Thermorheological Complexity in Polystyrene MeltsMonte Carlo Simulations of Stress Relaxation of Rouse ChainsMonte Carlo Simulations of Stress Relation of Fraenkel Chains — Linear Viscoelasticity of Entanglement-Free PolymersMonte Carlo Simulations of Stress Relaxation of Fraenkel Chains — Nonlinear Viscoelasticity of Entanglement-Free PolymersReadership: Graduate students, academics and industrial researchers in polymer science and physical chemistry.