Modelling Stochastic Fibrous Materials with Mathematica® [electronic resource] / by William Wyatt Sampson.

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.

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.