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Modeling Materials
Continuum, Atomistic and Multiscale Techniques

$103.00 (P)

  • Date Published: January 2012
  • availability: In stock
  • format: Hardback
  • isbn: 9780521856980

$ 103.00 (P)
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About the Authors
  • 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
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    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

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    Product details

    • Date Published: January 2012
    • format: Hardback
    • isbn: 9780521856980
    • length: 786 pages
    • dimensions: 253 x 195 x 40 mm
    • weight: 1.8kg
    • contains: 170 b/w illus. 117 exercises
    • availability: In stock
  • 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

    Modeling Materials

    Ellad B. Tadmor, Ronald E. Miller

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    These resources are provided free of charge by Cambridge University Press with permission of the author of the corresponding work, but are subject to copyright. You are permitted to view, print and download these resources for your own personal use only, provided any copyright lines on the resources are not removed or altered in any way. Any other use, including but not limited to distribution of the resources in modified form, or via electronic or other media, is strictly prohibited unless you have permission from the author of the corresponding work and provided you give appropriate acknowledgement of the source.

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  • Instructors have used or reviewed this title for the following courses

    • Constitutive Models in Continuum Mechanics
    • Multiscale Modeling
  • 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.

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