Modelling Stochastic Fibrous Materials with Mathematica® (Engineering Materials and Processes)

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. "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." "The book provides an introduction to the techniques of statistical geometry and probabilistic modelling for non-mathematicians, and assumes no previous experience of Mathematica. It is a 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."--Jacket Developments in the use of electrospun fibrous materials, for application in tissue engineering and in 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. The book introduces 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. Front Matter....Pages i-xi Introduction....Pages 1-14 Statistical Tools and Terminology....Pages 15-53 Planar Poisson Point and Line Processes....Pages 55-104 Poisson Fibre Processes I: Fibre Phase....Pages 105-157 Poisson Fibre Processes II: Void Phase....Pages 159-194 Stochastic Departures from Randomness....Pages 195-239 Three-dimensional Networks....Pages 241-263 Back Matter....Pages 265-277 Offers an overview of the structure of stochastic fibrous materials, and the use of Mathematica[registered] to develop models describing their structure and performance. This book also offers an introduction to the techniques of statistical geometry and probabilistic modeling for non-mathematicians.