Description
Book SynopsisThis book provides a representative selection of the most relevant, innovative, and useful mathematical methods and models applied to the analysis and characterization of composites and their behaviour on micro-, meso-, and macroscale. It establishes the fundamentals for meaningful and accurate theoretical and computer modelling of these materials in the future. Although the book is primarily concerned with fibre-reinforced composites, which have ever-increasing applications in fields such as aerospace, many of the results presented can be applied to other kinds of composites. The topics covered include: scaling and homogenization procedures in composite structures, thin plate and wave solutions in anisotropic materials, laminated structures, instabilities, fracture and damage analysis of composites, and highly efficient methods for simulation of composites manufacturing. The results presented are useful in the design, fabrication, testing, and industrial applications of composite components and structures. The book is written by well-known experts in different areas of applied mathematics, physics, and composite engineering and is an essential source of reference for graduate and doctoral students, as well as researchers. It is also suitable for non-experts in composites who wish to have an overview of both the mathematical methods and models used in this area and the related open problems requiring further research.
Table of ContentsMicromechanics of Heterogeneous Materials; Scaling and Homogenization in Spatially Random Composites; Asymptotic Homogenization for Composites and Thin-Walled Composite Structures; Stroh-Like Formalism for General Laminated Plates; Elastic Waves and Inverse Problems in Anisotropic Materials; Models for Laminated Structures; Advanced Simulation of Composites Manufacturing; Instabilities in Fiber-Reinforced Composites; Bifurcation of Elastic Multilayers; Energy and Stress Based Fracture Criterion Applied to Stress Concentrations and Singularities in Composites; Elastic Solutions at Multimaterial Corners and Interface Cracks; Energetic Approach to Delamination and Adhesive Contact; Crack Models in Composites; SGBEM Modeling of Crack Growth in Composites.
