Interatomic Potentials and Simulation of Lattice Defects

Interatomic Potentials and Simulation of Lattice Defects

Author: P. Gehlen

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 778

ISBN-13: 1468419927

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This book is the proceedings of the Sixth Battelle Colloquium on the Science of Materials. The Colloquium was devoted to a new field of materials science in which computers are used to conduct the experiments. Although the computer methods used have reached a high degree of sophistication, the underlying principles are relatively straightforward and well understood. The interatomic force laws - a vital input into these computations - however are less well understood. Interatomic Potentials and Simulation of Lattice Defects primarily discusses the validity of a variety of force laws - either from a theoretical point of view or through comparisons of experimental results and those obtained with computer simulation. The format used in previous Battelle Institute Colloquia is followed. The opening session was aimed at providing an overall view of the field of interatomic forces and defect calculations by major contributors. It was led by Dr. G. H. Vineyard, one of the pioneers in this field. The second day was devoted to research papers on theoretical and experimental aspects of interatomic forces. The remaining days were devoted to research papers on computer simulation of the four types of defects: point defects, line defects, surface defects, and volume defects.


Atomistic Simulation of Materials

Atomistic Simulation of Materials

Author: David J. Srolovitz

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 454

ISBN-13: 1468457039

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This book contains proceedings of an international symposium on Atomistic th Simulation of Materials: Beyond Pair Potentials which was held in Chicago from the 25 th to 30 of September 1988, in conjunction with the ASM World Materials Congress. This symposium was financially supported by the Energy Conversion and Utilization Technology Program of the U. S Department of Energy and by the Air Force Office of Scientific Research. A total of fifty four talks were presented of which twenty one were invited. Atomistic simulations are now common in materials research. Such simulations are currently used to determine the structural and thermodynamic properties of crystalline solids, glasses and liquids. They are of particular importance in studies of crystal defects, interfaces and surfaces since their structures and behavior playa dominant role in most materials properties. The utility of atomistic simulations lies in their ability to provide information on those length scales where continuum theory breaks down and instead complex many body problems have to be solved to understand atomic level structures and processes.


Interatomic Potentials and Crystalline Defects

Interatomic Potentials and Crystalline Defects

Author:

Publisher:

Published: 1981

Total Pages: 411

ISBN-13:

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With the advent of large, high-speed computers, many computer simulation studies on defects in materials have been performed during the last two decades. The 1971 Battelle colloquium on 'Interatomic Potentials and Simulation of Lattice Defects' held in Seattle, Washington, provided a successful open forum for discussions of interatomic forces and their use in studies in crystalline defects through computer simulation. These studies have yielded many new insights into materials properties. Although the 1976 International Conference on 'Computer Simulation for Materials Applications' at the National Bureau of Standards, Washington, D.C., covered some of these results as short papers, it is certainly time to provide another open forum for in-depth reviews and discussions of new findings and progress in this exciting field.


Imperfections in Crystalline Solids

Imperfections in Crystalline Solids

Author: Wei Cai

Publisher: Cambridge University Press

Published: 2016-09-15

Total Pages: 535

ISBN-13: 1316571718

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This textbook provides students with a complete working knowledge of the properties of imperfections in crystalline solids. Readers will learn how to apply the fundamental principles of mechanics and thermodynamics to defect properties in materials science, gaining all the knowledge and tools needed to put this into practice in their own research. Beginning with an introduction to defects and a brief review of basic elasticity theory and statistical thermodynamics, the authors go on to guide the reader in a step-by-step way through point, line, and planar defects, with an emphasis on their structural, thermodynamic, and kinetic properties. Numerous end-of-chapter exercises enable students to put their knowledge into practice, and with solutions for instructors and MATLAB® programs available online, this is an essential text for advanced undergraduate and introductory graduate courses in crystal defects, as well as being ideal for self-study.


Mechanical Properties of Metals

Mechanical Properties of Metals

Author: C. W. Lung

Publisher: World Scientific

Published: 1999

Total Pages: 442

ISBN-13: 9789810226220

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The book is intended to describe the basic and newly developed elements of the physics of solids and materials science on mechanical properties of metals with as much continuity as is possible. Particular emphasis has been placed in atomistic and fractal approaches and continuum theory of dislocations is also introduced. Since the book is meant for the two main topics of progress in recent years, some interesting and important topics which have not been discussed or introduced are given in detail.For a long time, pair potentials were used very expensively in simulation studies. They can reproduce usefully total energies for many systems. But when one turns to elastic properties, fracture of surfaces, and the vacancy formation energy, deficiencies and limitations begin to emerge. These limitations of the simple pair potential approximation have been addressed by the development of empirical many-body potentials which is the major theme of our book.Over a decade or more, diverse scientists have recognized that many of the structures common in their experiments have a special kind of geometrical complexity. The key to this progress is the recognition that many random structures obey a symmetry that objects look the same on many different scales of observation. The concept of fractals was introduced by Mandelbrot and applied to fractures by himself and collaborators. Their work pointed to a correlation between toughness and the fractal dimension. Our interest is the fractal aspects of fractured surfaces. We will discuss more in our book.The strain field of a dislocation has a long range part and this part can be discussed rigorously from elasticity theory. Recent progress in elastic strain fields and dislocation mobility were made by Indenbom and Lothe. The elementary essentials will be introduced in our book.


The Gaussian Approximation Potential

The Gaussian Approximation Potential

Author: Albert Bartók-Pártay

Publisher: Springer Science & Business Media

Published: 2010-07-27

Total Pages: 96

ISBN-13: 364214067X

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Simulation of materials at the atomistic level is an important tool in studying microscopic structures and processes. The atomic interactions necessary for the simulations are correctly described by Quantum Mechanics, but the size of systems and the length of processes that can be modelled are still limited. The framework of Gaussian Approximation Potentials that is developed in this thesis allows us to generate interatomic potentials automatically, based on quantum mechanical data. The resulting potentials offer several orders of magnitude faster computations, while maintaining quantum mechanical accuracy. The method has already been successfully applied for semiconductors and metals.


Interatomic Potentials

Interatomic Potentials

Author: Iam Torrens

Publisher: Elsevier

Published: 2012-12-02

Total Pages: 262

ISBN-13: 0323158692

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Interatomic Potentials provides information pertinent to the fundamental aspects of the interaction between atoms. This book discusses the theory of interatomic forces or potentials, which deals with the complicated problem of many-body interactions. Organized into 10 chapters, this book begins with an overview of the physical principles behind a range of atomic interactions and show how they can be applied to some atomic problems. This text then examines some of the theories of the atom that employ various approximate methods to simplify the many-body problem and estimate it potential energy. Other chapters consider the application of computer techniques to atomic problems. This book discusses as well the general principles and the particular types of pair interactions based on the pseudopotential method. The final chapter deals with some applications of interatomic potentials. This book is a valuable resource for graduate students, research workers, and teachers. Atomic and solid state physicists will also find this book useful.