Integral Materials Modeling

Adopting a holistic approach to materials simulation, this monograph covers four very important structural materials: aluminum, carbon steels, superalloys, and plastics. Following an introduction to the concept of integral modeling, the book goes on to cover a wide range of production steps and usage, including melt flow and solidification behavior, coating, shaping, thermal treatment, deep drawing, hardness and ductility, damage initiation, and deformation behavior.

Mathematical modeling and computer simulation are useful tools for improving materials processing. While courses in materials processing have covered modeling, they have been devoted to one particular class of materials--polymers, metals, or ceramics. This text offers a new approach, presenting an integrated treatment of metallic and non-metallic materials. The authors show that a common base of knowledge--specifically, the fundamentals of heat transfer and fluid mechanics--unifies these seemingly disparate areas. They emphasize understanding basic physical phenomena and knowing how to include them in a model. The book also includes selected numerical methods, a wealth of practical, realistic examples, and homework exercises.

Die Simulation von Materialien gehört zu den interessantesten neuen Forschungsgebieten der Ingenieurwissenschaften. Dieser Band spricht alle wichtigen Aspekte des Themas an, von den mathematischen Grundlagen der Simulation über Anwendungen beim Design von Mikrostrukturen bis zur computergestützten Werkstoffauswahl und -entwicklung. Doktoranden und Praktiker aus Materialwissenschaft und Technik lernen, aus den existierenden Simulationsmethoden den für ihr Problem am besten geeigneten Ansatz auszuwählen.

With its discussion of strategies for modeling complex materials using new numerical techniques, mainly those based on the finite element method, this monograph covers a range of topics including computational plasticity, multi-scale formulations, optimization and parameter identification, damage mechanics and nonlinear finite elements.

This book provides a new mathematical theory for the treatment of an ample series of spatial problems of electrodynamics, particle physics, quantum mechanics and elasticity theory. This technique proves to be as powerful for solving the spatial problems of mathematical physics as complex analysis is for solving planar problems. The main analytic tool of the book, a non-harmonic version of hypercomplex analysis recently developed by the authors, is presented in detail. There are given applications of this theory to the boundary value problems of electrodynamics and elasticity theory as well as to the problem of quark confinement. A new approach to the linearization of special classes of the self-duality equation is also considered. Detailed proofs are given throughout. The book contains an extensive bibliography on closely related topics. This book will be of particular interest to academic and professional specialists and students in mathematics and physics who are interested in integral representations for partial differential equations. The book is self-contained and could be used as a main reference for special course seminars on the subject.

The first reference of its kind in the rapidly emerging field of computational approachs to materials research, this is a compendium of perspective-providing and topical articles written to inform students and non-specialists of the current status and capabilities of modelling and simulation. From the standpoint of methodology, the development follows a multiscale approach with emphasis on electronic-structure, atomistic, and mesoscale methods, as well as mathematical analysis and rate processes. Basic models are treated across traditional disciplines, not only in the discussion of methods but also in chapters on crystal defects, microstructure, fluids, polymers and soft matter. Written by authors who are actively participating in the current development, this collection of 150 articles has the breadth and depth to be a major contributor toward defining the field of computational materials. In addition, there are 40 commentaries by highly respected researchers, presenting various views that should interest the future generations of the community. Subject Editors: Martin Bazant, MIT; Bruce Boghosian, Tufts University; Richard Catlow, Royal Institution; Long-Qing Chen, Pennsylvania State University; William Curtin, Brown University; Tomas Diaz de la Rubia, Lawrence Livermore National Laboratory; Nicolas Hadjiconstantinou, MIT; Mark F. Horstemeyer, Mississippi State University; Efthimios Kaxiras, Harvard University; L. Mahadevan, Harvard University; Dimitrios Maroudas, University of Massachusetts; Nicola Marzari, MIT; Horia Metiu, University of California Santa Barbara; Gregory C. Rutledge, MIT; David J. Srolovitz, Princeton University; Bernhardt L. Trout, MIT; Dieter Wolf, Argonne National Laboratory.