Modelling Stochastic Fibrous Materials with Mathematica®
Modelling Stochastic Fibrous Materials with Mathematica®

Author: William Wyatt Sampson

Publisher: Springer Science & Business Media

Published: 2008-10-28

Total Pages: 283

ISBN-13: 1848009909

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Developments in the use of electrospun fibrous materials, for application in tissue engineering and in carbon fibrous materials in fuel cells, has generated new interest in the dependence of the properties and structure of these materials on those of their constituent fibres. “Modelling Stochastic Fibrous Materials with Mathematica” provides an overview of the structure of stochastic fibrous materials, and the use of Mathematica® to develop models describing their structure and performance. The book introduces the techniques of statistical geometry and probabilistic modelling for non-mathematicians, and assumes no previous experience of Mathematica®. Using accessible notation and by providing examples of Mathematica® code, expressions are derived for the structural characteristics of stochastic fibrous materials providing insights into the ways these depend upon each other and the extent to which they can be modified in the laboratory or in a manufacturing environment.

Modelling Stochastic Fibrous Materials with Mathematica®
Modelling Stochastic Fibrous Materials with Mathematica®

Author: William Wyatt Sampson

Publisher: Springer

Published: 2009-08-29

Total Pages: 277

ISBN-13: 9781848820029

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Developments in the use of electrospun fibrous materials, for application in tissue engineering and in carbon fibrous materials in fuel cells, has generated new interest in the dependence of the properties and structure of these materials on those of their constituent fibres. “Modelling Stochastic Fibrous Materials with Mathematica” provides an overview of the structure of stochastic fibrous materials, and the use of Mathematica® to develop models describing their structure and performance. The book introduces the techniques of statistical geometry and probabilistic modelling for non-mathematicians, and assumes no previous experience of Mathematica®. Using accessible notation and by providing examples of Mathematica® code, expressions are derived for the structural characteristics of stochastic fibrous materials providing insights into the ways these depend upon each other and the extent to which they can be modified in the laboratory or in a manufacturing environment.

Network Materials
Network Materials

Author: Catalin R. Picu

Publisher: Cambridge University Press

Published: 2022-09-22

Total Pages: 447

ISBN-13: 1108490034

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Ideal for entry-level and experienced researchers working in materials science and engineering, this unique book introduces a new subfield of materials science and mechanics of materials: network materials. A comprehensive review of their mechanical behaviours allows readers to understand, design, and enhance the performance of these material systems, across a range of materials including cytoskeletons, connective tissue, and thermoset polymers. By introducing simple models, supported by experimental data, the book provides the necessary fundamental knowledge to assist readers to design and develop their own material systems. By presenting each of these previously disparate material systems within a unified theoretical framework, this book provides a consolidated presentation of the mechanics of networks and their interactions, introducing parameters that define the stochastic structure of the network, and discussing their mechanical behaviour. It is an ideal text for those new to this fast-growing field, and for experienced researchers looking to consolidate their knowledge.

Mechanics of Fibrous Networks
Mechanics of Fibrous Networks

Author: Vadim Silberschmidt

Publisher: Elsevier

Published: 2022-02-19

Total Pages: 382

ISBN-13: 0128222085

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Mechanics of Fibrous Networks covers everything there is to know about the mechanics of fibrous networks, from basic analysis of simple networks to the characterization of complex cases of deformation, loading, damage and fracture. Looking at various types of fibrous materials, the book studies their microstructural characterization, quantification of their mechanical properties, and performance at fiber and network levels. In addition, the book outlines numerical strategies for simulation, design and optimization of fibrous products. Techniques for testing the mechanical response of these materials in different loading and environmental conditions are outlined as well. This comprehensive resource will aid readers in obtaining qualitative data for various fibrous networks. In addition, it will help them develop modeling strategies and fine-tune mechanical performance fibrous networks and products by changing their microstructure to develop new products with desired properties and performance. - Discusses all the main features and characteristics of fibrous networks, including their microstructural characterization, quantification of their mechanical properties, and performance at the fiber and network level - Covers both basic analysis of simple networks as well as complex cases of deformation, loading, damage and fracture of fibrous networks - Outlines advanced numerical schemes for simulation, design and optimization of various fibrous materials

Geometric Theory of Information
Geometric Theory of Information

Author: Frank Nielsen

Publisher: Springer Science & Business Media

Published: 2014-05-08

Total Pages: 397

ISBN-13: 3319053175

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This book brings together geometric tools and their applications for Information analysis. It collects current and many uses of in the interdisciplinary fields of Information Geometry Manifolds in Advanced Signal, Image & Video Processing, Complex Data Modeling and Analysis, Information Ranking and Retrieval, Coding, Cognitive Systems, Optimal Control, Statistics on Manifolds, Machine Learning, Speech/sound recognition and natural language treatment which are also substantially relevant for the industry.

Computational Information Geometry
Computational Information Geometry

Author: Frank Nielsen

Publisher: Springer

Published: 2016-11-24

Total Pages: 312

ISBN-13: 3319470582

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This book focuses on the application and development of information geometric methods in the analysis, classification and retrieval of images and signals. It provides introductory chapters to help those new to information geometry and applies the theory to several applications. This area has developed rapidly over recent years, propelled by the major theoretical developments in information geometry, efficient data and image acquisition and the desire to process and interpret large databases of digital information. The book addresses both the transfer of methodology to practitioners involved in database analysis and in its efficient computational implementation.

Geometric Science of Information
Geometric Science of Information

Author: Frank Nielsen

Publisher: Springer

Published: 2013-08-19

Total Pages: 863

ISBN-13: 3642400205

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This book constitutes the refereed proceedings of the First International Conference on Geometric Science of Information, GSI 2013, held in Paris, France, in August 2013. The nearly 100 papers presented were carefully reviewed and selected from numerous submissions and are organized into the following thematic sessions: Geometric Statistics on Manifolds and Lie Groups, Deformations in Shape Spaces, Differential Geometry in Signal Processing, Relational Metric, Discrete Metric Spaces, Computational Information Geometry, Hessian Information Geometry I and II, Computational Aspects of Information Geometry in Statistics, Optimization on Matrix Manifolds, Optimal Transport Theory, Probability on Manifolds, Divergence Geometry and Ancillarity, Entropic Geometry, Tensor-Valued Mathematical Morphology, Machine/Manifold/Topology Learning, Geometry of Audio Processing, Geometry of Inverse Problems, Algebraic/Infinite dimensional/Banach Information Manifolds, Information Geometry Manifolds, and Algorithms on Manifolds.

Composite Materials
Composite Materials

Author: Deborah D. L. Chung

Publisher: Springer Science & Business Media

Published: 2010-04-03

Total Pages: 358

ISBN-13: 1848828314

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The first edition of "Composite Materials" introduced a new way of looking at composite materials. This second edition expands the book’s scope to emphasize application-driven and process-oriented materials development. The approach is vibrant yet functional.

Mathematical Models in the Biosciences I
Mathematical Models in the Biosciences I

Author: Michael Frame

Publisher: Yale University Press

Published: 2021-06-22

Total Pages: 542

ISBN-13: 0300228317

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An award-winning professor's introduction to essential concepts of calculus and mathematical modeling for students in the biosciences This is the first of a two-part series exploring essential concepts of calculus in the context of biological systems. Michael Frame covers essential ideas and theories of basic calculus and probability while providing examples of how they apply to subjects like chemotherapy and tumor growth, chemical diffusion, allometric scaling, predator-prey relations, and nerve impulses. Based on the author's calculus class at Yale University, the book makes concepts of calculus more relatable for science majors and premedical students.

Ferroelectrics in Microwave Devices, Circuits and Systems
Ferroelectrics in Microwave Devices, Circuits and Systems

Author: Spartak Gevorgian

Publisher: Springer Science & Business Media

Published: 2009-05-30

Total Pages: 405

ISBN-13: 1848825072

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Today’s wireless communications and information systems are heavily based on microwave technology. Current trends indicate that in the future along with - crowaves, the millimeter wave and Terahertz technologies will be used to meet the growing bandwidth and overall performance requirements. Moreover, motivated by the needs of the society, new industry sectors are gaining ground; such as wi- less sensor networks, safety and security systems, automotive, medical, envir- mental/food monitoring, radio tags etc. Furthermore, the progress and the pr- lems in the modern society indicate that in the future these systems have to be more user/consumer friendly, i. e. adaptable, reconfigurable and cost effective. The mobile phone is a typical example which today is much more than just a phone; it includes a range of new functionalities such as Internet, GPS, TV, etc. To handle, in a cost effective way, all available and new future standards, the growing n- ber of the channels and bandwidth both the mobile handsets and the associated systems have to be agile (adaptable/reconfigurable). The complex societal needs have initiated considerable activities in the field of cognitive and software defined radios and triggered extensive research in adequate components and technology platforms. To meet the stringent requirements of these systems, especially in ag- ity and cost, new components with enhanced performances and new functionalities are needed. In this sense the components based on ferroelectrics have greater - tential and already are gaining ground.