Theory of Dislocations

Presents a comprehensive treatment of the fundamentals of dislocations. This book covers the elastic theory of straight and curved dislocations, and includes a chapter on elastic anisotropy. It also presents applications to the theory of dislocation motion at low and high temperatures.

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Theory of Dislocations

Originally published: New York: McGraw-Hill, 1967. Editions published: New York: Wiley, 1982, and Malabar, FL: Krieger, 1992.

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Nonlinear Theory of Dislocations and Disclinations in Elastic Bodies

The author applies methods of nonlinear elasticity to investigate the defects in the crystal structure of solids such as dislocations and disclinations that characterize the plastic and strength properties of many materials. Contrary to the geometrically motivated nonlinear theory of dislocations continuously distributed over the body, nonlinear analysis of isolated dislocations and disclinations is less developed; it is given for the first time in this book, and in a form accessible to both students and researchers. The general theory of Volterra's dislocations in elastic media under large deformations is developed. A number of exact solutions are found. The nonlinear approach to investigating the isolated defects produces results that often differ qualitatively from those of the linear theory.

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Mathematical Theory of Dislocations and Fracture

Concise, logical, and mathematically rigorous, this introduction to the theory of dislocations is addressed primarily to students and researchers in the general areas of mechanics and applied mathematics. Its scope encompasses those aspects of dislocation theory which are closely related to the theories of elasticity and macroscopic plasticity, to modern continuum mechanics, and to the theory of cracks and fracture. The volume incorporates several new and original pieces of work, including a development of the theory of dislocation motion and plastic strain for non-linear materials, a new discussion of the line tension model, revised calculations of the Peierls resistance, and a new development of the van der Merwe theory of crystal interfaces.

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Unified Theory of Dislocation Motion Including Thermal Activation and Inertial Effects

Transition-state rate theory has generally been used to explain the temperature dependence of the flow stress of a crystal. However, the existence of a change in the flow stress during the superconducting transition indicates the presence of inertial effects in which dislocations overcome obstacles mechanically rather than thermally. It is shown here that the thermally activated and the inertial overcoming of obstacles are not unrelated but can both be derived from principles of stochastic motion. This leads to a theory of dislocation motion that includes both thermal activation and inertial effects. It is also shown that a distribution of activation energies must be considered to account for the experimental data.

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Introduction to Anisotropic Elasticity Theory of Dislocations

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Plane Harmonic Waves in the Linearized Gauge Theory of Dislocations

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Spectral Theory and Differential Equations

This volume is dedicated to V. A. Marchenko on the occasion of his 90th birthday. It contains refereed original papers and survey articles written by his colleagues and former students of international stature and focuses on the areas to which he made important contributions: spectral theory of differential and difference operators and related topics of mathematical physics, including inverse problems of spectral theory, homogenization theory, and the theory of integrable systems. The papers in the volume provide a comprehensive account of many of the most significant recent developments in that broad spectrum of areas.

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Classical Theory Of Crystal Dislocations From Iron To Gallium Nitride

The book consists of two parts: Part 1 is a standard text of dislocation theory. Mathematics is avoided as much as possible. Part 2 describes application of dislocation theory, which includes mechanical properties (including the inverse temperature dependence of strength) and dislocations in functional materials such as Si, GaN and SiC and dislocations in a thin crystal such as an epitaxial layer. This is what has been long anticipated among researchers in industry.The book contains about 330 illustrations (mostly originals by the author) and the pictures obtained by the author by means of in-situ experiment in a transmission electron microscope over the past 50 years.This book includes many exercises, which the author found useful when he was teaching in Department of Materials Science and Engineering of Nagoya University to stimulate their interests in dislocation theory.

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Dislocations in Solids

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Dislocation Modelling of Physical Systems

Dislocation Modelling of Physical Systems contains the Proceedings of the International Conference held at Gainesville, Florida, USA on June 22-27, 1980. The book emphasizes the growing interest in relating dislocation theoretic concepts to engineering problems. Topic areas chosen ranged from the fundamental, such as properties of single dislocations, to the more applied, such as fracture. The papers are grouped specifically based on the main topics they discuss. These topics include fracture; point defects and dislocations; structure dependence of mechanical behavior; properties of single dislocations; plasticity and geometry of deformation; internal friction effects; and boundaries.

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Mechanical Properties of Metals

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.

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Theory of Crystal Dislocations

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Physical Metallurgy

Updated review of a well established graduate text.

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Earth Dynamics

The Earth is a dynamic system. Internal processes, together with external gravitational forces of the Sun, Moon and planets, displace the Earth's mass, impacting on its shape, rotation and gravitational field. Doug Smylie provides a rigorous overview of the dynamical behaviour of the solid Earth, explaining the theory and presenting methods for numerical implementation. Topics include advanced digital analysis, earthquake displacement fields, Free Core Nutations observed by the Very Long Baseline Interferometric technique, translational modes of the solid inner core observed by the superconducting gravimeters, and dynamics of the outer fluid core. This book is supported by freeware computer code, available online for students to implement the theory. Online materials also include a suite of graphics generated from the numerical analysis, combined with 100 graphic examples in the book to make this an ideal tool for researchers and graduate students in the fields of geodesy, seismology and solid earth geophysics. The book covers broadly applicable subjects such as the analysis of unequally spaced time series by Singular Value Decomposition, as well as specific topics on Earth Dynamics.

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Mechanics of Solids

An important collection of review papers by internationally recognized experts on the broad area of the mechanics of solids.

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Fundamental Aspects of Dislocation Theory

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NBS Special Publication

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Publications of the National Bureau of Standards Catalog

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DISLOCATIONS AND MECHANICAL BEHAVIOUR OF MATERIALS

Primarily intended for the senior undergraduate and postgraduate students of Metallurgical and Materials Engineering/Mechanical Engineering, the book begins with the description of elementary mechanical testing method and then moves on to the theory of elasticity, the micromechanics of high strain rate deformation phenomenon and quantitative methods of materials selection. Dislocation and their applications is the strength of this book. The topics such as creep, fatigue and fracture are comprehensively covered. The final chapter presents the principles of materials selection. The book contains numerous solved and unsolved examples to reinforce the understanding of the subject.

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