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 statisticalgeometry and probabilistic modelling for non-mathematicians, and assumes no previous experience of Mathematica®. Using accessible notation and by providingexamples 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. Provides an introduction to the techniques of statistical geometry and probabilistic modelling for non-mathematicians INDICE: 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.
- ISBN: 978-1-84800-990-5
- Editorial: Springer
- Encuadernacion: Cartoné
- Páginas: 290
- Fecha Publicación: 01/01/2009
- Nº Volúmenes: 1
- Idioma: Inglés