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Multi-scale Simulation of Composite Materials - Results from the Project MuSiKo (Hardcover, 1st ed. 2019)
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Multi-scale Simulation of Composite Materials - Results from the Project MuSiKo (Hardcover, 1st ed. 2019)
Series: Mathematical Engineering
Expected to ship within 10 - 15 working days
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Due to their high stiffness and strength and their good processing
properties short fibre reinforced thermoplastics are
well-established construction materials. Up to now, simulation of
engineering parts consisting of short fibre reinforced
thermoplastics has often been based on macroscopic phenomenological
models, but deformations, damage and failure of composite materials
strongly depend on their microstructure. The typical modes of
failure of short fibre thermoplastics enriched with glass fibres
are matrix failure, rupture of fibres and delamination, and pure
macroscopic consideration is not sufficient to predict those
effects. The typical predictive phenomenological models are complex
and only available for very special failures. A quantitative
prediction on how failure will change depending on the content and
orientation of the fibres is generally not possible, and the direct
involvement of the above effects in a numerical simulation requires
multi-scale modelling. One the one hand, this makes it possible to
take into account the properties of the matrix material and the
fibre material, the microstructure of the composite in terms of
fibre content, fibre orientation and shape as well as the
properties of the interface between fibres and matrix. On the other
hand, the multi-scale approach links these local properties to the
global behaviour and forms the basis for the dimensioning and
design of engineering components. Furthermore, multi-scale
numerical simulations are required to allow efficient solution of
the models when investigating three-dimensional problems of
dimensioning engineering parts. 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.
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