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Modeling Materials

Modeling Materials

Modeling Materials

Continuum, Atomistic and Multiscale Techniques
Ellad B. Tadmor, University of Minnesota
Ronald E. Miller, Carleton University, Ottawa
December 2011
This ISBN is for an eBook version which is distributed on our behalf by a third party.
Adobe eBook Reader
9781139153256
$114.00
USD
Adobe eBook Reader
GBP
Hardback

    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.

    • Presents a thorough compilation of the key theoretical underpinnings of multiscale modeling
    • Integrates topics from across disciplines, discussing their fundamental assumptions
    • Blends classical topics with current research trends to help readers better understand the connections between the different fields

    Reviews & endorsements

    '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

    See more reviews

    Product details

    December 2011
    Adobe eBook Reader
    9781139153256
    0 pages
    0.01kg
    170 b/w illus. 117 exercises
    This ISBN is for an eBook version which is distributed on our behalf by a third party.

    Table of Contents

    • 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.
    Resources for
    Type
    Modeling Materials Readers Forum
    Supporting website, hosted by the authors
    Instructor access for solutions to homework problems
      Authors
    • Ellad B. Tadmor , University of Minnesota

      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 , Carleton University, Ottawa

      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.