Weak Convergence Methods for Variational Models of Crystalline Solids

Book excerpt: This book aims at a quick introduction to the modelling of martensitic phase transformationcs and therefore will be particularly welcoming to graduate students, post-doctorals, and researchers who like to understand the main concepts and methods of the subject. It covers the related mathematical theories (such as quasiconvexity, compensated compactness, and Young measures), the application of these theories to the analysis of martensitic microstructure, and the numerical approximation of microstructure. These mathematical theories have increasing applications in many scientific areas. The book includes in each chapter exercise problems that are not only for practice but also provide examples, proofs, and supplemental material.