Mathematical Methods and Models in Composites (Second Edition) provides
an in-depth treatment of modern and rigorous mathematical methods and
models applied to composites modeling on the micro-, meso-, and macro
scale. There has been a steady growth in the diversity of such methods
and models that are used in the analysis and characterization of
composites, their behavior, and their associated phenomena and
processes. This second edition expands upon the success of the first
edition, and has been substantially revised and updated.Written by
well-known experts in different areas of applied mathematics, physics,
and composite engineering, this book is mainly focused on continuous
fiber reinforced composites and their ever increasing range of
applications (for example, in the aerospace industry), though it also
covers other kind of composites. The chapters cover a range of topics
including, but not limited to: scaling and homogenization procedures in
composites, thin plate and wave solutions in anisotropic materials,
laminated structures, fiber-reinforced nonlinearly elastic solids,
buckling and postbuckling, fracture and damage analysis of composites,
and highly efficient methods for simulation of composites manufacturing
such as resin transfer molding. The results presented are useful for the
design, fabrication, testing and industrial applications of composite
components and structures.This book is an essential reference for
graduate and doctoral students, as well as researchers in mathematics,
physics and composite engineering. Explanations and references in the
book are sufficiently detailed so as to provide the necessary background
to further investigate the fascinating subject of composites modeling
and explore relevant research literature. It is also suitable for
non-experts who wish to have an overview of the mathematical methods and
models used for composites, and of the open problems in this area that
require further research.
