Download PDF Modeling Materials: Continuum, Atomistic and Multiscale Techniques, by Ellad B. Tadmor, Ronald E. Miller
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Modeling Materials: Continuum, Atomistic and Multiscale Techniques, by Ellad B. Tadmor, Ronald E. Miller
Download PDF Modeling Materials: Continuum, Atomistic and Multiscale Techniques, by Ellad B. Tadmor, Ronald E. Miller
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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.
More information on this book is available at the following website maintained by the authors: http://www.modelingmaterials.org
- Sales Rank: #743432 in Books
- Published on: 2012-01-16
- Original language: English
- Number of items: 1
- Dimensions: 9.69" h x 1.57" w x 7.44" l, 3.92 pounds
- Binding: Hardcover
- 786 pages
Review
"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
About the Author
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.
Most helpful customer reviews
5 of 5 people found the following review helpful.
Excellent effort
By parmenides
This is an outstanding effort for exposing the principles of multiscale modeling. Multiscale modeling is as old
as statistical physics, moreover, even continuum mechanics problems such as fracture and turbulence required
the development of multiscale modeling ideas. So what is the the point of modern "multiscale modeling" idea?
It is mostly connecting different physics theories within the same code. So it is not just a physics but also
a numerics and (even more) an informatics challenge.
The book is an excellent source of material about the most basic mathematical theories of classical, statistical
and quantum physics applied to materials (but one can use the same ideas also in fluids and other systems).
Combining so many mathematical theories in one book is a challenge by itself. What makes this effort so successful
and above other similar efforts is that the packaging is done in fine mathematical detail, i.e. the authors have worked very hard for this book. It wont let anyone down. They first discuss the aforementioned fundamental theories and in the last part of the book they describe how the actual packaging of different theories is done in actual material modeling computations.
Everything is not perfect of course and this is expected without taking any value from this effort. For example, in their discussion of quantum mechanics and DFT methods I found some necessary mathematical fine points missing.
There was also no mention of relativistic DFT. I would read this part together with books such as Jorge Kohanoff's
"Electronic structure calculations for solids and molecules" and "Introduction to Relativistic Quantum Chemistry"
by Dyall and Faegri. The point is however, that equiped with just the material of this book one already has a very good picture
of DFT and related methods. Same is true for the other parts. There is not much emphasis on computing/algorithmic or numerical analysis aspects. One needs separate books for adequate detail on these.
Finally, I was impressed by the many historical references and the citation of the original atomic theory of Democritus was amazing!
Congratulations for CUP for producing such excellent and well thought books. Apparently, CUP and quality mathematical
physics are highly corellated notions nowdays. Indeed, presently, most self-advertised textbooks/monographs are in reality
surveys i.e. long review papers. As such they are useless to the one who wants to learn "how to do", as for the specialist
he can find them on journals or archives. It is quite difficult to produce proper books whose authors have taken
the time to actually work out the details i.e. produce science and not surveys. CUP produces such books worth having and spending money on. Indeed, there is no doubt that the present book does exactly what it promises. Warmly recommended.
3 of 3 people found the following review helpful.
Review for Modeling Materials: Continuum, Atomistic and Multiscale Techniques
By Xiaomei Ji
The subject matter in this book is divided into four parts. Part I covers continuum mechanics and thermodymics concepts that sever as the basis for the rest of the book. The description of continuum mechanics and thermodynamics is brief and meant to make this book a stand-alone book. Part II covers atomistics, discussing the basic structure and symmetries of crystalline materials, and molecular statics-a computational approach for studying static properties of materials at the atomic scale. Part III focuses on the connection are forged between the discrete world of atoms-described by atomic positions,velocities and forces- and continuum concepts such as fields of stress and temperature. Finally, the subject of molecular dynamics is presented. Part IV on multiscale methods describes a class of computational methods that attempt to model material response by simultaneously describing its behavior on multiple
spatial and temporal scales. The final part of the book draws together and unifies many of the concepts presented earlier and shows how these can be integrated into a single modeling paradigm.
It shows at first, different treatment in the principles of multiscale modeling, focusing on a critical analysis and understanding of the fundamental assumptions, which is essential for anyone seeking to combine different theories in a multiscale setting.
Secondly, some of the topics herein are often treated from the perspective of the gaseous or liquid states, but, in this book, its emphasis is on solids. and this changes the presentation in important ways. Similarly, it works for constant stress simulation in molecular dynamics.
Third, while covering this board range of topics the authors strive to regularly make connections between the atomistic, statistical and continuum worldviews. Finally, a good balance between fundamental theory and practical ``how to'' is tried to created.
Combining many mathematical theories in one book is a big challenge by itself.
The book has effectively combined the important mathematical theories, empirical methods
and the practical implementation of such topics. For the most part, these serve as examples to illustrate the application and usefulness of modeling methods.
As far as modeling goes, the fact must be recognized that the materials exhibit phenomena on a board range of spatial and temporal scales that combine together to dictate the response of a material. These phenomena range from the bonding of individual atoms governed by quantum mechanics to macroscopic deformation process described by continuum mechanics. Various aspects of materials behavior and modeling, which tends to focus on specific phenomena at a given scale, have traditionally been treated by different disciplines in science and engineering. There is increased awareness that materials must be understood, not only by rigorous treatment of phenomena at each of these scales alone, but rather through consideration of the interactions between these scales.
This excellent book is addressed to graduate students and researchers in chemistry, engineering, materials science, mathematics, mechanics and physics. It is very suitable for people in such fields who want to study advanced achievements in modeling materials.
1 of 1 people found the following review helpful.
Wow, how did I miss this!
By MSE fanatic
This textbook is a must for anyone doing modeling/computational materials science. This book is very similar and on par with Rob Phillips Crystals, Defects, and Microstructures Modeling Across Scales but adds a little more "hands-on" for the student. To date I have yet to find a textbook which covers interatomic potentials like this one. The authors provide complete derivations of interaction energy, and even forces, for pairwise and manybody potentials. Since this is the most crucial aspect of any molecular statics/dynamics simulation, its nice to have a thorough reference at hand. In general the text is well written and nicely formatted with useful example problems and exercises in most chapters. The multiscale aspects are predominantly focused on coupling mechanics of materials which probably reflects the authors backgrounds and research interest. Although the price might be steep this is a nice text to supplement other computational materials science textbooks that I have reviewed.
See all 5 customer reviews...
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