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Book Cover
Author Sampson, William W.

Title Modelling stochastic fibrous materials with Mathematica / William W. Sampson
Published [New York] : Springer, [2009]
Online access available from:
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Description 1 online resource (xi, 277 pages) : illustrations
Series Engineering materials and processes, 1619-0181
Engineering materials and processes. 1619-0181
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
Summary 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 the paper and non-wovens industries and for those applying non-woven fibrous architectures in composites, fuel cells and filtration applications. The text is highly relevant also to researchers developing applications for electrospinning technologies. A trial version of Mathematica® 6.0 can be downloaded from, by entering the licence number L3250-9882. Mathematica® notebook files containing the code presented in each chapter can be downloaded from
Bibliography Includes bibliographical references (pages 265-273) and index
Notes Print version record
Subject Mathematica (Computer program language)
Fibrous composites -- Mathematical models.
Fibrous composites -- Nondestructive testing.
Form Electronic book
LC no. 2008934906
ISBN 1848009909