Download or read book Theoretical and Mathematical Models in Polymer Research written by Alexander Grosberg and published by Academic Press. This book was released on 1998-03-13 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, Professor Alexander Grosberg, one of the pioneers and leaders in the field of theoretical polymer science has selected the most important topics within polymer science and matched them with experts whocan clearly present the state of the art of each. Using this book readers will learn the fundamental concepts, as well as the techniques that are currently employed on the frontier of science.
Download or read book Mathematical Modelling for Polymer Processing written by Vincenzo Capasso and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 325 pages. Available in PDF, EPUB and Kindle. Book excerpt: Polymers are substances made of macromolecules formed by thousands of atoms organized in one (homopolymers) or more (copolymers) groups that repeat themselves to form linear or branched chains, or lattice structures. The concept of polymer traces back to the years 1920's and is one of the most significant ideas of last century. It has given great impulse to indus try but also to fundamental research, including life sciences. Macromolecules are made of sm all molecules known as monomers. The process that brings monomers into polymers is known as polymerization. A fundamental contri bution to the industrial production of polymers, particularly polypropylene and polyethylene, is due to the Nobel prize winners Giulio Natta and Karl Ziegler. The ideas of Ziegler and Natta date back to 1954, and the process has been improved continuously over the years, particularly concerning the design and shaping of the catalysts. Chapter 1 (due to A. Fasano ) is devoted to a review of some results concerning the modelling of the Ziegler- Natta polymerization. The specific ex am pie is the production of polypropilene. The process is extremely complex and all studies with relevant mathematical contents are fairly recent, and several problems are still open.
Download or read book Applied Mathematical Models and Experimental Approaches in Chemical Science written by Vladimir Ivanovitch Kodolov and published by CRC Press. This book was released on 2016-11-03 with total page 428 pages. Available in PDF, EPUB and Kindle. Book excerpt: This new book focuses on nanomaterial development as well as investigations of combustion and explosion processes. It presents valuable information on the modeling of processes and on quantum chemical calculations and leading-edge research from around the world in this dynamic field, focusing on concepts above formal experimental techniques and theoretical methods of chemical physics for micro- and nanotechnologies. Also presented are non-linear kinetic appearances and their possible applications.
Download or read book Mechanics of Solid Polymers written by Jorgen S Bergstrom and published by William Andrew. This book was released on 2015-07-11 with total page 524 pages. Available in PDF, EPUB and Kindle. Book excerpt: Very few polymer mechanics problems are solved with only pen and paper today, and virtually all academic research and industrial work relies heavily on finite element simulations and specialized computer software. Introducing and demonstrating the utility of computational tools and simulations, Mechanics of Solid Polymers provides a modern view of how solid polymers behave, how they can be experimentally characterized, and how to predict their behavior in different load environments. Reflecting the significant progress made in the understanding of polymer behaviour over the last two decades, this book will discuss recent developments and compare them to classical theories. The book shows how best to make use of commercially available finite element software to solve polymer mechanics problems, introducing readers to the current state of the art in predicting failure using a combination of experiment and computational techniques. Case studies and example Matlab code are also included. As industry and academia are increasingly reliant on advanced computational mechanics software to implement sophisticated constitutive models – and authoritative information is hard to find in one place - this book provides engineers with what they need to know to make best use of the technology available. Helps professionals deploy the latest experimental polymer testing methods to assess suitability for applications Discusses material models for different polymer types Shows how to best make use of available finite element software to model polymer behaviour, and includes case studies and example code to help engineers and researchers apply it to their work
Download or read book Materials Behavior written by Mihai Ciocoiu and published by CRC Press. This book was released on 2018-06-26 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: The development of advanced materials has become extremely important in the last decade, being widely used in academic and industrial research. This book examines the potential of advanced materials as well as nanotechnology to improve fiber science from fibril to fabric mode, to create better materials and products for a variety of aspects. The book presents research advances in materials behavior using fractal analysis, mathematical modeling and simulation, and other methods. Examined are electrical, mechanical, optical, and magnetic properties; size; morphology; and chemical behavior of such materials as aerogels, polymer films, nanocomposite materials, natural composites, catalysis, and more with a view to their application in the medical, engineering, and textile fields. With chapters written by eminent scientists, the book offers valuable information for academics, researchers, and engineering professionals. Contributions range from new methods to novel applications of existing methods to help readers gain understanding of the material and/or structural behavior of new and advanced systems.
Download or read book Mathematical Models for Dental Materials Research written by Alex Fok and published by Springer Nature. This book was released on 2020-02-24 with total page 87 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a mechanistic approach—mathematical modeling—for carrying out dental materials research. This approach allows researchers to go beyond the null hypothesis and obtain a solution that is more general and therefore predictive for conditions other than those considered in a study. Hence it can be used either on its own or to complement the commonly used statistical approach. Through a series of practical problems with wide-ranging application, the reader will be guided on: How to construct a mathematical model for the behavior of dental materials by making informed assumptions of the physical, chemical, or mechanical situation How to simplify the model by making suitable simplifications How to calibrate the model by calculating the values of key parameters using experimental results How to refine the model when there are discrepancies between predictions and experiments Only elementary calculus is required to follow the examples and all the problems can be solved by using MS Excel© spreadsheets. This is an ideal book for dental materials researchers without a strong mathematical background who are interested in applying a more mechanistic approach to their research to give deeper insight into the problem at hand. Advance praise for Mathematical Models for Dental Materials Research: “This is a nice addition for research students on how to conduct their work and how to manage data analysis. It brings together a number of important aspects of dental materials investigations which has been missing in the literature. The practical examples make it much easier to understand.” – Michael F. Burrow, Clinical Professor in Prosthodontics, The University of Hong Kong “The great strengths of this volume are the real world examples of dental materials research in the successive chapters. In turn, this is an outcome of the outstanding expertise of both authors. I warmly recommend this book to the dental biomaterials community worldwide.” – David C. Watts, Professor of Biomaterials Science, University of Manchester, UK
Download or read book Field Theoretical Tools for Polymer and Particle Physics written by Hildegard Meyer-Ortmanns and published by Springer. This book was released on 2014-03-12 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is written for advanced graduate students. The topics have been selected to present methods and models that have applications in both particle physics and polymer physics. The lectures may serve as a guide through more recent research activities and illustrate the applicability of joint methods in different contexts. The book deals with analytic tools (e.g. random walk models, polymer expansion), numerical tools (e.g. Langevin dynamics), and common models (the three-dimensional Gross-Neveu-Model).
Download or read book Dynamic Model Development Methods Theory and Applications written by S. Macchietto and published by Elsevier. This book was released on 2003-08-04 with total page 267 pages. Available in PDF, EPUB and Kindle. Book excerpt: Detailed mathematical models are increasingly being used by companies to gain competitive advantage through such applications as model-based process design, control and optimization. Thus, building various types of high quality models for processing systems has become a key activity in Process Engineering. This activity involves the use of several methods and techniques including model solution techniques, nonlinear systems identification, model verification and validation, and optimal design of experiments just to name a few. In turn, several issues and open-ended problems arise within these methods, including, for instance, use of higher-order information in establishing parameter estimates, establishing metrics for model credibility, and extending experiment design to the dynamic situation. The material covered in this book is aimed at allowing easier development and full use of detailed and high fidelity models. Potential applications of these techniques in all engineering disciplines are abundant, including applications in chemical kinetics and reaction mechanism elucidation, polymer reaction engineering, and physical properties estimation. On the academic side, the book will serve to generate research ideas. Contains wide coverage of statistical methods applied to process modelling Serves as a recent compilation of dynamic model building tools Presents several examples of applying advanced statistical and modelling methods to real process systems problems
Download or read book Applied Chemistry and Chemical Engineering Volume 3 written by A. K. Haghi and published by CRC Press. This book was released on 2017-12-22 with total page 381 pages. Available in PDF, EPUB and Kindle. Book excerpt: Understanding mathematical modeling is fundamental in chemical engineering. This book reviews, introduces, and develops the mathematical models that are most frequently encountered in sophisticated chemical engineering domains. The volume provides a collection of models illustrating the power and richness of the mathematical sciences in supplying insight into the operation of important real-world systems. It fills a gap within modeling texts, focusing on applications across a broad range of disciplines. The first part of the book discusses the general components of the modeling process and highlights the potential of modeling in the production of nanofibers. These chapters discuss the general components of the modeling process and the evolutionary nature of successful model building in the electrospinning process. Electrospinning is the most versatile technique for the preparation of continuous nanofibers obtained from numerous materials. This section of book summarizes the state-of-the art in electrospinning as well as updates on theoretical aspects and applications. Part 2 of the book presents a selection of special topics on issues in applied chemistry and chemical engineering, including nanocomposite coating processes by electrocodeposition method, entropic factors conformational interactions, and the application of artificial neural network and meta-heuristic algorithms. This volume covers a wide range of topics in mathematical modeling, computational science, and applied mathematics. It presents a wealth of new results in the development of modeling theories and methods, advancing diverse areas of applications and promoting interdisciplinary interactions between mathematicians, scientists, engineers and representatives from other disciplines.
Download or read book Random Polymer Models written by Giambattista Giacomin and published by Imperial College Press. This book was released on 2007 with total page 259 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume introduces readers to the world of disordered systems and to some of the remarkable probabilistic techniques developed in the field. The author explores in depth a class of directed polymer models to which much attention has been devoted in the last 25 years, in particular in the fields of physical and biological sciences. The models treated have been widely used in studying, for example, the phenomena of polymer pinning on a defect line, the behavior of copolymers in proximity to an interface between selective solvents and the DNA denaturation transition. In spite of the apparent heterogeneity of this list, in mathematical terms, a unified vision emerges. One is in fact dealing with the natural statistical mechanics systems built on classical renewal sequences by introducing one-body potentials. This volume is also a self-contained mathematical account of the state of the art for this class of statistical mechanics models.
Download or read book Topology and Geometry in Polymer Science written by Stuart G. Whittington and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 209 pages. Available in PDF, EPUB and Kindle. Book excerpt: This IMA Volume in Mathematics and its Applications TOPOLOGY AND GEOMETRY IN POLYMER SCIENCE is based on the proceedings of a very successful one-week workshop with the same title. This workshop was an integral part of the 1995-1996 IMA program on "Mathematical Methods in Materials Science." We would like to thank Stuart G. Whittington, De Witt Sumners, and Timothy Lodge for their excellent work as organizers of the meeting and for editing the proceedings. We also take this opportunity to thank the National Science Foun dation (NSF), the Army Research Office (ARO) and the Office of Naval Research (ONR), whose financial support made the workshop possible. A vner Friedman Robert Gulliver v PREFACE This book is the product of a workshop on Topology and Geometry of Polymers, held at the IMA in June 1996. The workshop brought together topologists, combinatorialists, theoretical physicists and polymer scientists, who share an interest in characterizing and predicting the microscopic en tanglement properties of polymers, and their effect on macroscopic physical properties.
Download or read book Random Polymers written by Frank den Hollander and published by Springer. This book was released on 2009-04-09 with total page 271 pages. Available in PDF, EPUB and Kindle. Book excerpt: Polymer chains that interact with themselves and/or with their environment are fascinating objects, displaying a range of interesting physical and chemical phenomena. The focus in this monograph is on the mathematical description of some of these phenomena, with particular emphasis on phase transitions as a function of interaction parameters, associated critical behavior and space-time scaling. Topics include: self-repellent polymers, self-attracting polymers, polymers interacting with interfaces, charged polymers, copolymers near linear or random selective interfaces, polymers interacting with random substrate and directed polymers in random environment. Different techniques are exposed, including the method of local times, large deviations, the lace expansion, generating functions, the method of excursions, ergodic theory, partial annealing estimates, coarse-graining techniques and martingales. Thus, this monograph offers a mathematical panorama of polymer chains, which even today holds plenty of challenges.
Download or read book Field Theoretical Tools for Polymer and Particle Physics written by Hildegard Meyer-Ortmanns and published by Springer Science & Business Media. This book was released on 1998-03-18 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is written for advanced graduate students. The topics have been selected to present methods and models that have applications in both particle physics and polymer physics. The lectures may serve as a guide through more recent research activities and illustrate the applicability of joint methods in different contexts. The book deals with analytic tools (e.g. random walk models, polymer expansion), numerical tools (e.g. Langevin dynamics), and common models (the three-dimensional Gross-Neveu-Model).
Download or read book Mathematical Modeling of the Flow Behavior of Polymer Fluids Using Network Theory written by Hui-Yin Shaw and published by . This book was released on 1983 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Topics in Polymer Physics written by Richard S. Stein and published by Imperial College Press. This book was released on 2006 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: This important book emphasizes the basic derivation of many key equations used in polymer physics. Phrases such as "it can be easily shown that" and "it readily follows that", seen in many textbooks, are seldom used here. The models, assumptions and key equations underlying concepts are presented in the text; details used in the derivations are given in the accompanying CD-Rom. The CD-Rom also contains problems (with solutions in many cases) which test the reader's grasp of the material, as well as a glossary of symbols. Contents: Introduction: Historical Background to Polymer Physics and Description of Polymer Physics Areas; Chain Statistics: The Chain Character of Polymers Modeled on Probability Considerations, Lattice Theory of Blending Polymers; Thermodynamics: Classical and Statistical Thermodynamic Models Applied to Polymers; Optics: Scattering, Diffraction, Birefringence Applied to Polymers; Electricity: Electrical Background to Conducting Polymers, Polarizability; Spectroscopy: Infrared, Raman and Fourier Transform Infrared Spectroscopy; Rubber: Gaussian and Non-Gaussian Models of Rubber Elasticity; Crystallization: Nucleation/Growth and Crystalline/Amorphous Models, Polymer Crystal Morphology. CD-Rom Contents: Orientation: Techniques for Measuring Polymer Orientation, Hermans Orientation Function; Viscoelasticity: Maxwell and Voigt Models of Polymer Viscoelasticity. Readership: Upper level undergraduates and graduate students in chemistry, physics, materials science and engineering; scientists and engineers interested in polymers.
Download or read book Computational Multiscale Modeling of Fluids and Solids written by Martin Oliver Steinhauser and published by Springer. This book was released on 2016-11-29 with total page 419 pages. Available in PDF, EPUB and Kindle. Book excerpt: The idea of the book is to provide a comprehensive overview of computational physics methods and techniques, that are used for materials modeling on different length and time scales. Each chapter first provides an overview of the basic physical principles which are the basis for the numerical and mathematical modeling on the respective length-scale. The book includes the micro-scale, the meso-scale and the macro-scale, and the chapters follow this classification. The book explains in detail many tricks of the trade of some of the most important methods and techniques that are used to simulate materials on the perspective levels of spatial and temporal resolution. Case studies are included to further illustrate some methods or theoretical considerations. Example applications for all techniques are provided, some of which are from the author’s own contributions to some of the research areas. The second edition has been expanded by new sections in computational models on meso/macroscopic scales for ocean and atmosphere dynamics. Numerous applications in environmental physics and geophysics had been added.
Download or read book Encyclopedia of Surface and Colloid Science written by Arthur T. Hubbard and published by CRC Press. This book was released on 2002-07-18 with total page 1580 pages. Available in PDF, EPUB and Kindle. Book excerpt: This comprehensive reference collects fundamental theories and recent research from a wide range of fields including biology, biochemistry, physics, applied mathematics, and computer, materials, surface, and colloid science-providing key references, tools, and analytical techniques for practical applications in industrial, agricultural, and forensic processes, as well as in the production of natural and synthetic compounds such as foods, minerals, paints, proteins, pharmaceuticals, polymers, and soaps.
