Modelling Stochastic Fibrous Materials With Mathematica by William Wyatt SampsonModelling Stochastic Fibrous Materials With Mathematica by William Wyatt Sampson

Modelling Stochastic Fibrous Materials With Mathematica

byWilliam Wyatt Sampson

Paperback | October 22, 2010

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Recent developments in the use of electrospun fibrous materials, for application as scaffolds for tissue engineering and in the application of 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.

Modelling Stochastic Fibrous Materials with Mathematica® provides an introduction to 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® is a valuable resource for researchers and engineers in industries concerned with electrospinning and the development of nonwoven fibrous architectures for use in composites, fuel cells and filtration applications.

Bill Sampson is a Senior Lecturer in the School of Materials at the University of Manchester, with more than 15 years experience modeling the structure and performance of stochastic fibrous materials. His interest in these materials developed at UMIST and the University of Toronto where he first used the computer mathematics software M...
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Title:Modelling Stochastic Fibrous Materials With MathematicaFormat:PaperbackDimensions:277 pagesPublished:October 22, 2010Publisher:Springer-Verlag/Sci-Tech/TradeLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:184996811X

ISBN - 13:9781849968119

Reviews

Table of Contents

Introduction Statistical Tools and Terminology Planar Poisson Point and Line Processes Poisson Fibre Processes I: Fibre Phase Poisson Fibre Processes II: Void Phase Stochastic Departures from Randomness Three-dimensional Networks

Editorial Reviews

From the reviews:"This book provides an overview of the structure of stochastic fibrous materials, and the use of Mathematica code to develop models describing their structure and performance. . This well-written book is a reader-friendly and good-organised manual in the field of composite materials. It can be highly recommended to experts in mechanics of solids, engineers, and to graduate, postgraduate and doctoral students." (Igor Andrianov, Zentralblatt MATH, Vol. 1166, 2009)