Modeling of Spherical Particle Packing Structures Using Mathematical Tessellation PDF Download

Author: Frank Werner
Publisher:
ISBN:
Category :
Languages : en
Pages : 29

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Author: Y. Kishino
Publisher: CRC Press
ISBN: 1000099571
Category : Technology & Engineering
Languages : en
Pages : 650

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The topics discussed in this text range from quasi-static problems to dynamic problems, and are divided into 15 groups, such as: cohesion/cracking; wave propagation; and quasi-static behaviour. Each group contains theoretical, experimental and computational approaches by researchers.

Author: Albert R. Baswell
Publisher: Nova Science Publishers
ISBN: 9781634827416
Category : Mathematics
Languages : en
Pages : 0

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"Advances in Mathematics Research" presents original studies on the leading edge of mathematics. Each article has been carefully selected in an attempt to present substantial research results across a broad spectrum. Topics discussed include using mathematical tessellation to model spherical particle packing structures; further results on fractional calculus for non-differentiable functions applications to z-transform and generalized functions; low earth orbit satellite constellations for local telecommunication and monitoring services; algorithm for autonomously calibrating reference flat of interferometer and residual influence of linear shift with two-flat method; dealing with non-significant interactions statuses between treatments by a suggested statistical approach; stochastic simultaneous perturbation as powerful method for state and parameter estimation in high dimensional systems; bounded trajectories of unstable piecewise linear systems and its applications; mathematical modeling for predicting battery lifetime through electrical models; and mathematical modelling of the lithium-ion battery lifetime using system identification theory.

Author: Hisao Honda
Publisher: Springer Nature
ISBN: 9811929165
Category : Science
Languages : en
Pages : 195

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This book describes the shape formation of living organisms using mathematical models. Genes are deeply related to the shape of living organisms, and elucidation of a pathway of shape formation from genes is one of the fundamental problems in biology. Mathematical cell models are indispensable tools to elucidate this problem. The book introduces two mathematical cell models, the cell center model and the vertex model, with their applications. The cell center model is applied to elucidate the formation of neat cell arrangements in epidermis, cell patterns consisting of heterogeneous-sized cells, capillary networks, and the branching patterns of blood vessels. The vertex model is applied to elucidate the wound healing mechanisms of the epithelium and ordered pattern formation involving apoptosis. Pattern formation with differential cell adhesion is also described. The vertex model is then extended from a two-dimensional (2D) to a three-dimensional (3D) model. A cell aggregate involving a large cavity is described to explain the development of the mammalian blastocyst or the formation of an epithelial vesicle. Epithelial tissues and the polarity formation process of the epithelium are also explained. The vertex model also recapitulates active remodeling of tissues and describes the twisting of tissue that contributes to understanding the cardiac loop formation of the embryonic tube. The book showcases that mathematical cell models are indispensable tools to understand the shape formation of living organisms. Successful contribution of the mathematical cell models means that the remodeling of collective cells is self-construction. Examining the successive iterations of self-constructions leads to understanding the remarkable and mysterious morphogenesis that occurs during the development of living organisms. The intended readers of this book are not only theoretical or mathematical biologists, but also experimental and general biologists, including undergraduate and postgraduate students who are interested in the relationship between genes and morphogenesis.

Author: Edward S. Popko
Publisher: CRC Press
ISBN: 1000412431
Category : Mathematics
Languages : en
Pages : 484

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Praise for the previous edition [. . .] Dr. Popko’s elegant new book extends both the science and the art of spherical modeling to include Computer-Aided Design and applications, which I would never have imagined when I started down this fascinating and rewarding path. His lovely illustrations bring the subject to life for all readers, including those who are not drawn to the mathematics. This book demonstrates the scope, beauty, and utility of an art and science with roots in antiquity. [. . .] Anyone with an interest in the geometry of spheres, whether a professional engineer, an architect or product designer, a student, a teacher, or simply someone curious about the spectrum of topics to be found in this book, will find it helpful and rewarding. – Magnus Wenninger, Benedictine Monk and Polyhedral Modeler Ed Popko's comprehensive survey of the history, literature, geometric, and mathematical properties of the sphere is the definitive work on the subject. His masterful and thorough investigation of every aspect is covered with sensitivity and intelligence. This book should be in the library of anyone interested in the orderly subdivision of the sphere. – Shoji Sadao, Architect, Cartographer and lifelong business partner of Buckminster Fuller Edward Popko's Divided Spheres is a "thesaurus" must to those whose academic interest in the world of geometry looks to greater coverage of synonyms and antonyms of this beautiful shape we call a sphere. The late Buckminster Fuller might well place this manuscript as an all-reference for illumination to one of nature's most perfect inventions. – Thomas T. K. Zung, Senior Partner, Buckminster Fuller, Sadao, & Zung Architects. This first edition of this well-illustrated book presented a thorough introduction to the mathematics of Buckminster Fuller’s invention of the geodesic dome, which paved the way for a flood of practical applications as diverse as weather forecasting and fish farms. The author explained the principles of spherical design and the three classic methods of subdivision based on geometric solids (polyhedra). This thoroughly edited new edition does all that, while also introducing new techniques that extend the class concept by relaxing the triangulation constraint to develop two new forms of optimized hexagonal tessellations. The objective is to generate spherical grids where all edge (or arc) lengths or overlap ratios are equal. New to the Second Edition New Foreword by Joseph Clinton, lifelong Buckminster Fuller collaborator A new chapter by Chris Kitrick on the mathematical techniques for developing optimal single-edge hexagonal tessellations, of varying density, with the smallest edge possible for a particular topology, suggesting ways of comparing their levels of optimization An expanded history of the evolution of spherical subdivision New applications of spherical design in science, product design, architecture, and entertainment New geodesic algorithms for grid optimization New full-color spherical illustrations created using DisplaySphere to aid readers in visualizing and comparing the various tessellations presented in the book Updated Bibliography with references to the most recent advancements in spherical subdivision methods

Author: Sunggyu Lee
Publisher: CRC Press
ISBN: 1351237683
Category : Science
Languages : en
Pages : 3338

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This second edition Encyclopedia supplies nearly 350 gold standard articles on the methods, practices, products, and standards influencing the chemical industries. It offers expertly written articles on technologies at the forefront of the field to maximize and enhance the research and production phases of current and emerging chemical manufacturing practices and techniques. This collecting of information is of vital interest to chemical, polymer, electrical, mechanical, and civil engineers, as well as chemists and chemical researchers. A complete reconceptualization of the classic reference series the Encyclopedia of Chemical Processing and Design, whose first volume published in 1976, this resource offers extensive A-Z treatment of the subject in five simultaneously published volumes, with comprehensive indexing of all five volumes in the back matter of each tome. It includes material on the design of key unit operations involved with chemical processes; the design, unit operation, and integration of reactors and separation systems; process system peripherals such as pumps, valves, and controllers; analytical techniques and equipment; and pilot plant design and scale-up criteria. This reference contains well-researched sections on automation, equipment, design and simulation, reliability and maintenance, separations technologies, and energy and environmental issues. Authoritative contributions cover chemical processing equipment, engineered systems, and laboratory apparatus currently utilized in the field. It also presents expert overviews on key engineering science topics in property predictions, measurements and analysis, novel materials and devices, and emerging chemical fields. ALSO AVAILABLE ONLINE This Taylor & Francis encyclopedia is also available through online subscription, offering a variety of extra benefits for both researchers, students, and librarians, including: Citation tracking and alerts Active reference linking Saved searches and marked lists HTML and PDF format options Contact Taylor and Francis for more information or to inquire about subscription options and print/online combination packages. US: (Tel) 1.888.318.2367; (E-mail) [email protected] International: (Tel) +44 (0) 20 7017 6062; (E-mail) [email protected]

Author: Vivian Wong
Publisher:
ISBN: 9781361012895
Category :
Languages : en
Pages :

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This dissertation, "A 3-parameter Particle Packing Model for Spherical and Non-spherical Particles" by Vivian, Wong, 黃暉然, was obtained from The University of Hong Kong (Pokfulam, Hong Kong) and is being sold pursuant to Creative Commons: Attribution 3.0 Hong Kong License. The content of this dissertation has not been altered in any way. We have altered the formatting in order to facilitate the ease of printing and reading of the dissertation. All rights not granted by the above license are retained by the author. Abstract: In many fields of industries, it has been found that the properties of granular materials are intimately related to their packing densities. To find the particle size distribution for optimum packing density rendering the best performance of granular materials, it is useful to have a particle packing model which can accurately predict the packing density of granular materials. Nevertheless, the development of particle packing model is difficult and complex as there are many factors affecting packing density including particle shape, packing method and formation of agglomerates between cohesive fine particles. Even for binary mixes of particles, the existing 2-parameter model which takes into account the loosening effect and the wall effect and assumes a linear relationship between specific volume (reciprocal of packing density) and volumetric fractions of particles, does not give satisfactory prediction. Through comprehensive experimental study, the author has found that the deviations from experimental results are caused by the wedging effect of the fine particles situating at the gaps between the coarse particles producing extra voids. The newly identified wedging effect was incorporated into the 3-parameter model, in which the specific volume is no longer a linear function of the volumetric fractions. This thesis presents the further development of the 3-parameter model, which is extended to ternary mixes and multi-component mixes of spherical and non-spherical particles with various factors affecting packing density taken into account. In extending the 3-parameter model to ternary mixes and multi-component mixes of particles, an approach was adopted so that the final packing density of the mixture consisting of several size classes was taken as the minimum of those determined from a set of equations, each corresponding to one dominant size class. The extended model was verified using the experimental results of spherical particles obtained from this study and cylindrical particles obtained from the literature. The accuracy of the model was also compared to other existing models for multi-component mixes, such as the 2-parameter model and the compressible packing model. For more general applications to angular aggregate particles, the 3-parameter model was modified by a number of adjustments which include the re-derivation of the interaction functions of the three parameters accounting for the loosening, wall and wedging effects under both uncompacted and compacted packing conditions. However, it was demonstrated that without the consideration of the formation of agglomerates between cohesive fine particles, which would produce extra voids known as the agglomeration effect, would result in interaction functions giving unreasonable interpretation of the various interaction effects. Consequently, the 3-parameter model was also modified to account for the agglomeration effect. Finally, for application in concrete industry, the 3-parameter model was also modified for continuous grading of aggregate particles, which would be helpful in determining the optimum particle size distribution of aggregate particles so as to further improve the performance of concrete. Overall, the modified and extended 3-parameter model was verified to provide accurate prediction and would be a useful tool for optimizing the particle size distribution in various fields of industries.

Author: Marina L. Gavrilova
Publisher: Springer Science & Business Media
ISBN: 3540851259
Category : Mathematics
Languages : en
Pages : 316

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The year 2008 is a memorial year for Georgiy Vorono (1868-1908), with a number of events in the scientific community commemorating his tremendous contribution to the area of mathematics, especially number theory, through conferences and scientific gatherings in his honor. A notable event taking place in September 2008 a joint c- ference: the 5th Annual International Symposium on Voronoi Diagrams (ISVD) and the 4th International Conference on Analytic Number Theory and Spatial Tessel- tions held in Kyiv, Georgiy Vorono ’s native land. The main ideas expressed by G. Vorono ’s through his fundamental works have influenced and shaped the key dev- opments in computation geometry, image recognition, artificial intelligence, robotics, computational science, navigation and obstacle avoidance, geographical information systems, molecular modeling, astrology, physics, quantum computing, chemical en- neering, material sciences, terrain modeling, biometrics and other domains. This book is intended to provide the reader with in-depth overview and analysis of the fundamental methods and techniques developed following G. Voronoi ideas, in the context of the vast and increasingly growing area of computational intelligence. It represents the collection of state-of-the art research methods merging the bridges between two areas: geometric computing through Voronoi diagrams and intelligent computation techniques, pushing the limits of current knowledge in the area, impr- ing on previous solutions, merging sciences together, and inventing new ways of approaching difficult applied problems.

Author: Malena I. Español
Publisher: Springer Nature
ISBN: 3031044967
Category : Mathematics
Languages : en
Pages : 514

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This volume highlights contributions of women mathematicians in the study of complex materials and includes both original research papers and reviews. The featured topics and methods draw on the fields of Calculus of Variations, Partial Differential Equations, Functional Analysis, Differential Geometry and Topology, as well as Numerical Analysis and Mathematical Modelling. Areas of applications include foams, fluid-solid interactions, liquid crystals, shape-memory alloys, magnetic suspensions, failure in solids, plasticity, viscoelasticity, homogenization, crystallization, grain growth, and phase-field models.

Author: Sunggyu Lee
Publisher: Taylor & Francis US
ISBN: 9780824755591
Category : Chemical engineering
Languages : en
Pages : 744

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Book Description
Supplying nearly 350 expertly-written articles on technologies that can maximize and enhance the research and production phases of current and emerging chemical manufacturing practices and techniques, this second edition provides gold standard articles on the methods, practices, products, and standards recently influencing the chemical industries. New material includes: design of key unit operations involved with chemical processes; design, unit operation, and integration of reactors and separation systems; process system peripherals such as pumps, valves, and controllers; analytical techniques and equipment; current industry practices; and pilot plant design and scale-up criteria.