TY  - GEN
AU  - Tadmor, Ellad B.
AU  - Miller, Ronald E.
TI  - Modeling materials: continuum, atomistic and multiscale techniques
SN  - 9780521856980
U1  - 620.110113 
PY  - 2011///
CY  - Cambridge
PB  - Cambridge University Press
KW  - Materials-Mathematical models
KW  - Materials science Mathematical models
KW  - Mathematical Physics
KW  - Multiscale modeling
N1  - Machine generated contents note: 1. Introduction; Part I. Continuum Mechanics and Thermodynamics: 2. Essential continuum mechanics and thermodynamics; Part II. Atomistics: 3. Lattices and crystal structures; 4. Quantum mechanics of materials; 5. Empirical atomistic models of materials; 6. Molecular statics; Part III. Atomistic Foundations of Continuum Concepts: 7. Classical equilibrium statistical mechanics; 8. Microscopic expressions for continuum fields; 9. Molecular dynamics; Part IV. Multiscale Methods: 10. What is multiscale modeling?; 11. Atomistic constitutive relations for multilattice crystals; 12. Atomistic/continuum coupling: static methods; 13. Atomistic/continuum coupling: finite temperature and dynamics; Appendix; References; Index
N2  - Material 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
ER  -