Modeling Materials

Ellad B. Tadmor is a Professor of Aerospace Engineering and Mechanics at the University of Minnesota. He received his BSc and MSc in Mechanical Engineering from the Technion - Israel Institute of Technology in 1987 and 1991, and his PhD from Brown University in 1996. His research focuses on the development of multiscale theories and computational methods for predicting the behavior of materials directly from the interactions of the atoms making up the material. He has published over 40 papers in this area and two textbooks (see http://modelingmaterials.org for information on the books). Professor Tadmor is the Director of the Knowledgebase of Interatomic Models project (https://openkim.org) which is tasked with developing standards for atomistic simulations and improving transferability of interatomic potentials. He has been a Postdoctoral Research Fellow at Harvard University, Associate Professor at the Technion (Israel), and Erasmus Mundus Scholar at the Ecole Normale Superieure in Lyon (France). He received the MRS Graduate Student Award in 1995 for his work on developing the quasicontinuum method, one of the leading multiscale methods, and has received numerous awards for excellence in teaching, including the Salomon Simon Mani Award in 2001. Professor Tadmor is on the editorial board of the Journal of Elasticity. Ronald E. Miller is Professor of Mechanical and Aerospace Engineering at Carleton University. He has worked in the area of multiscale materials modeling for over 15 years and has published more than 40 scientific articles in the area.

'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

• 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.