This unique volume presents the state of the art in the field of multiscale modeling in solid mechanics, with particular emphasis on computational approaches. For the first time, contributions from both leading experts in the field and younger promising researchers are combined to give a comprehensive description of the recently proposed techniques and the engineering problems tackled using these techniques.The book begins with a detailed introduction to the theories on which different multiscale approaches are based, with regards to linear Homogenisation as well as various nonlinear approaches. It then presents advanced applications of multiscale approaches applied to nonlinear mechanical problems. Finally, the novel topic of materials with self-similar structure is discussed.
Computational Homogenization for Nonlinear Heterogeneous Solids (V G Kouznetsova et al.); Two-Scale Asymptotic Homogenization-based Finite Element Analysis of Composite Materials (Q-Z Xiao & B L Karihaloo); Analysis of Microstructure Evolution in Dissipative Solids Based on Energy Minimization Concepts (C Miehe); Nonuniform Transformation Field Analysis: A Reduced Model for Multiscale Nonlinear Problems in Solid Mechanics (J C Michel & P Suquet); Multiscale Approach for the Thermomechanical Analysis of Hierarchical Structures (D Boso et al.); Recent Advances in Masonry Modeling: Micro-Modeling and Homogenization (P B Lourenco); Mechanics of Materials with Self-Similar Hierarchical Microstructure (R C Picu & M A Soare); and other papers.