Ellad B. Tadmor, Ronald E. MillerCambridge University Press, 11/24/2011EAN 9780521856980, ISBN10: 0521856981Hardcover, 786 pages, 24.9 x 19.8 x 4.2 cmLanguage: EnglishMaterial 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 (Cambridge University Press, 2011), this work presents the complete fundamentals of materials modeling for graduate students and researchers in physics, materials science, chemistry and engineering.1. IntroductionPart I. Continuum Mechanics and Thermodynamics2. Essential continuum mechanics and thermodynamicsPart II. Atomistics3. Lattices and crystal structures4. Quantum mechanics of materials5. Empirical atomistic models of materials6. Molecular staticsPart III. Atomistic Foundations of Continuum Concepts7. Classical equilibrium statistical mechanics8. Microscopic expressions for continuum fields9. Molecular dynamicsPart IV. Multiscale Methods10. What is multiscale modeling?11. Atomistic constitutive relations for multilattice crystals12. Atomistic/continuum couplingstatic methods13. Atomistic/continuum couplingfinite temperature and dynamicsAppendixReferencesIndex.
