Modeling Materials
Continuum, Atomistic and Multiscale Techniques

Explains many key theoretical ideas behind multiscale modeling for graduate students and researchers in physics, materials science, chemistry and engineering.

Ellad B. Tadmor (Author), Ronald E. Miller (Author)

9780521856980, Cambridge University Press

Hardback, published 24 November 2011

786 pages, 170 b/w illus. 117 exercises
25.3 x 19.5 x 4 cm, 1.8 kg

'This is an exceptional book on the subject, and for more than one reason. First, it is extremely well written. The authors are very clearly talented writers. The text is thought provoking, original and crystal clear (no pun is intended). Second, the book is quite attractive to the eye. It is full with pictures and illustrations, and their captions are very detailed. Only from looking at the figures and reading the captions one can learn a great deal. The important equations appear in a 'shaded' box. The whole appearance of the book is very inviting to read.' Dan Givoli, Expressions: The Journal of the International Association of Computational Mechanics

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.

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.

Subject Areas: Physics [PH]