Modelling Stochastic Fibrous Materials With Mathematicar

Author : William Wyatt Sampson
Publisher : Springer Science & Business Media
ISBN 13 : 1848009917
Total Pages : 277 pages
Book Rating : 4.12/5 ( download)

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Download or read book Modelling Stochastic Fibrous Materials with Mathematica® written by William Wyatt Sampson and published by Springer Science & Business Media. This book was released on 2008-10-10 with total page 277 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : William Wyatt Sampson
Publisher : Springer
ISBN 13 : 9781848820029
Total Pages : 277 pages
Book Rating : 4.2X/5 ( download)

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Download or read book Modelling Stochastic Fibrous Materials with Mathematica® written by William Wyatt Sampson and published by Springer. This book was released on 2009-08-29 with total page 277 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : William Wyatt Sampson
Publisher : Springer Science & Business Media
ISBN 13 : 1848009909
Total Pages : 283 pages
Book Rating : 4.05/5 ( download)

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Download or read book Modelling Stochastic Fibrous Materials with Mathematica® written by William Wyatt Sampson and published by Springer Science & Business Media. This book was released on 2008-10-28 with total page 283 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Catalin R. Picu
Publisher : Cambridge University Press
ISBN 13 : 1108490034
Total Pages : 447 pages
Book Rating : 4.30/5 ( download)

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Download or read book Network Materials written by Catalin R. Picu and published by Cambridge University Press. This book was released on 2022-09-22 with total page 447 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Vadim V. Silberschmidt
Publisher : Elsevier
ISBN 13 : 0128222085
Total Pages : 380 pages
Book Rating : 4.89/5 ( download)

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Download or read book Mechanics of Fibrous Networks written by Vadim V. Silberschmidt and published by Elsevier. This book was released on 2022-03-01 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Author : Frank Nielsen
Publisher : Springer Science & Business Media
ISBN 13 : 3319053175
Total Pages : 397 pages
Book Rating : 4.72/5 ( download)

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Download or read book Geometric Theory of Information written by Frank Nielsen and published by Springer Science & Business Media. This book was released on 2014-05-08 with total page 397 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Frank Nielsen
Publisher : Springer
ISBN 13 : 3319470582
Total Pages : 299 pages
Book Rating : 4.80/5 ( download)

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Download or read book Computational Information Geometry written by Frank Nielsen and published by Springer. This book was released on 2016-11-24 with total page 299 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Frank Nielsen
Publisher : Springer
ISBN 13 : 3642400205
Total Pages : 863 pages
Book Rating : 4.09/5 ( download)

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Download or read book Geometric Science of Information written by Frank Nielsen and published by Springer. This book was released on 2013-08-19 with total page 863 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Deborah D. L. Chung
Publisher : Springer Science & Business Media
ISBN 13 : 1848828314
Total Pages : 358 pages
Book Rating : 4.15/5 ( download)

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Download or read book Composite Materials written by Deborah D. L. Chung and published by Springer Science & Business Media. This book was released on 2010-04-03 with total page 358 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Michael Frame
Publisher : Yale University Press
ISBN 13 : 0300228317
Total Pages : 542 pages
Book Rating : 4.11/5 ( download)

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Download or read book Mathematical Models in the Biosciences I written by Michael Frame and published by Yale University Press. This book was released on 2021-06-22 with total page 542 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.