Engineering Materials and Processes

Modelling Stochastic Fibrous Materials with Mathematica®

Authors: Sampson, William Wyatt

  • Provides an introduction to the techniques of statistical geometry and probabilistic modelling for non-mathematicians

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eBook $109.00
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  • ISBN 978-1-84800-991-2
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Hardcover $139.00
price for USA
  • ISBN 978-1-84800-990-5
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  • Usually dispatched within 3 to 5 business days.
Softcover $139.00
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  • ISBN 978-1-84996-811-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this Textbook

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 http://www.wolfram.com/books/resources, by entering the licence number L3250-9882. Mathematica® notebook files containing the code presented in each chapter can be downloaded from http://www.springer.com/978-1-84800-990-5.

About the authors

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 Mathematica to develop theories applying statistical geometry to the study of the pore size distribution in paper. Subsequent work has yielded theories describing the distributions of porosity and pore size in two- and three-dimensional networks, and the extent and configuration of fiber contacts in general classes of stochastic fibrous materials. These models have been applied to the study of the structures of non-woven textiles, electrospun polymer networks, and fibrous filters, and the influence of structure on their mechanical, optical and transport behaviors.

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)


Table of contents (7 chapters)

Buy this book

eBook $109.00
price for USA (gross)
  • ISBN 978-1-84800-991-2
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $139.00
price for USA
  • ISBN 978-1-84800-990-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $139.00
price for USA
  • ISBN 978-1-84996-811-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Modelling Stochastic Fibrous Materials with Mathematica®
Authors
Series Title
Engineering Materials and Processes
Copyright
2009
Publisher
Springer-Verlag London
Copyright Holder
Springer-Verlag London
eBook ISBN
978-1-84800-991-2
DOI
10.1007/978-1-84800-991-2
Hardcover ISBN
978-1-84800-990-5
Softcover ISBN
978-1-84996-811-9
Series ISSN
1619-0181
Edition Number
1
Number of Pages
XII, 277
Number of Illustrations and Tables
42 b/w illustrations
Topics