Introduction.- Multi-scale Methods in Simulation - a Path to a Better Understanding of the Behaviour of Structures.- Microstructure Simulation for Short Fiber Reinforced Materials.- Parallel Inelastic Heterogeneous Multi-scale Simulations.- Fast Boundary Element Methods for Composite Materials.- Experimental Studies.
The authors of the book as well as both editors are closely working together in a team within the subsidy program ,,Mathematik für Innovationen in Industrie und Dienstleistungen“ of the German „Bundesministerium für Bildung und Forschung“. Each of the five academic group leaders have a distinguished record in research and a series of successful grants. The authors from the German industry are experts in their fields and both have a big experience with cooperation between industry, mechanics and applied mathematics.
Bringing together mathematical modelling, materials mechanics, numerical methods and experimental engineering, this book provides a unique overview of multi-scale modelling approaches, multi-scale simulations and experimental investigations of short fibre reinforced thermoplastics. The first chapters focus on two principal subjects: the mathematical and mechanical models governing composite properties and damage description. The subsequent chapters present numerical algorithms based on the Finite Element Method and the Boundary Element Method, both of which make explicit use of the composite’s microstructure. Further, the results of the numerical simulations are shown and compared to experimental results.
Lastly, the book investigates deformation and failure of composite materials experimentally, explaining the applied methods and presenting the results for different volume fractions of fibres.
This book is a valuable resource for applied mathematics, theoretical and experimental mechanical engineers as well as engineers in industry dealing with modelling and simulation of short fibre reinforced composites.