Modelling Stochastic Fibrous Materials with Mathematica®

  • William Wyatt Sampson

Part of the Engineering Materials and Processes book series (EMP)

Table of contents

  1. Front Matter
    Pages i-xi
  2. William Wyatt Sampson
    Pages 1-14
  3. William Wyatt Sampson
    Pages 15-53
  4. William Wyatt Sampson
    Pages 55-104
  5. William Wyatt Sampson
    Pages 105-157
  6. William Wyatt Sampson
    Pages 159-194
  7. William Wyatt Sampson
    Pages 195-239
  8. William Wyatt Sampson
    Pages 241-263
  9. Back Matter
    Pages 265-277

About this book


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


Fibre Networks Materials Properties Modelling SRUK Stochastic Structure modeling

Authors and affiliations

  • William Wyatt Sampson
    • 1
  1. 1.School of MaterialsUniversity of ManchesterManchesterUK

Bibliographic information

  • DOI
  • Copyright Information Springer-Verlag London 2009
  • Publisher Name Springer, London
  • eBook Packages Engineering
  • Print ISBN 978-1-84800-990-5
  • Online ISBN 978-1-84800-991-2
  • Series Print ISSN 1619-0181
  • Series Online ISSN 2365-0761
  • Buy this book on publisher's site