Tadmor E.B., Miller R.E. Modeling Materials: Continuum, Atomistic and Multiscale Techniques

Cambridge University Press, 2011,|759 Pages, ISBN: 0521856981 | PDF | 14 MBMaterial properties emerge from phenomena on scales ranging from Angstroms to millimeters, and only a multiscale treatment can provide a complete understanding. Materials researchers must therefore understand fundamental concepts and techniques from different fields, and these are presented in a comprehensive and integrated fashion for the first time in this book. Incorporating continuum mechanics, quantum mechanics, statistical mechanics, atomistic simulations and multiscale techniques, the book explains many of the key theoretical ideas behind multiscale modeling. Classical topics are blended with new techniques to demonstrate the connections between different fields and highlight current research trends. Example applications drawn from modern research on the thermo-mechanical properties of crystalline solids are used as a unifying focus throughout the text. Together with its companion book, Continuum Mechanics and Thermodynamics , this work presents the complete fundamentals of materials modeling for graduate students and researchers in physics, materials science, chemistry and engineering.Continuum mechanics and thermodynamics
Essential continuum mechanics and thermodynamicsAtomistics
Lattices and crystal structures
Quantum mechanics of materials
Empirical atomistic models of materials
Molecular staticsAtomistic foundations of continuum concepts
Classical equilibrium statistical mechanics
Microscopic expressions for continuum fields
Molecular dynamicsMultiscale methods
What is multiscale modeling?
Atomistic constitutive relations for multilattice crystals
Atomistic–continuum coupling: static methods
Atomistic–continuum coupling: finite temperature and dynamics