Author: Peter M. Anderson,John P. Hirth,Jens Lothe

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### Theory of Dislocations

Theory of Dislocations provides unparalleled coverage of the fundamentals of dislocation theory, with applications to specific metal and ionic crystals. Rather than citing final results, step-by-step developments are provided to offer an in-depth understanding of the topic. The text provides the solid theoretical foundation for researchers to develop modeling and computational approaches to discrete dislocation plasticity, yet it covers important experimental observations related to the effects of crystal structure, temperature, nucleation mechanisms, and specific systems. This new edition incorporates significant advances in theory, experimental observations of dislocations, and new findings from first principles and atomistic treatments of dislocations. Also included are new discussions on thin films, deformation in nanostructured systems, and connection to crystal plasticity and strain gradient continuum formulations. Several new computer programs and worked problems allow the reader to understand, visualize, and implement dislocation theory concepts.

### Theory of dislocations

### Mathematical Theory of Dislocations and Fracture

### Fundamental aspects of dislocation theory

### 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.

### 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.

### Theory of crystal dislocations

### 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.

### Dislocations and Plastic Deformation

Dislocations and Plastic Deformation deals with dislocations and plastic deformation, and specifically discusses topics ranging from deformation of single crystals and dislocations in the lattice to the fundamentals of the continuum theory, the properties of point defects in crystals, multiplication of dislocations, and partial dislocations. The effect of lattice defects on the physical properties of metals is also considered. Comprised of nine chapters, this book begins by providing a short and, where possible, precise explanation of dislocation theory. The first six chapters discuss the properties of dislocations and point defects both in crystals and in an elastic continuum. The reader is then introduced to some applications of dislocation theory that show, for instance, the difficulties involved in understanding the hardening of alloys and the work-hardening of pure metals. This book concludes by analyzing the effect of heat treatment on the defect structure in metals. This text will be of interest to students and practitioners in the field of physics.

### A Gauge Theory of Dislocations and Disclinations

### 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.

### Generalized Continua and Dislocation Theory

Defects, dislocations and the general theory.- Approaches to generalized continua.- Generalized continuum modelling of crystal plasticity.- Introduction to discrete dislocation dynamics. The book contains four lectures on generalized continua and dislocation theory, reflecting the treatment of the subject at different scales. G. Maugin provides a continuum formulation of defects at the heart of which lies the notion of the material configuration and the material driving forces of in-homogeneities such as dislocations, disclinations, point defects, cracks, phase-transition fronts and shock waves. C. Sansour and S. Skatulla start with a compact treatment of linear transformation groups with subsequent excursion into the continuum theory of generalized continua. After a critical assessment a unified framework of the same is presented. The next contribution by S. Forest gives an account on generalized crystal plasticity. Finally, H. Zbib provides an account of dislocation dynamics and illustrates its fundamental importance at the smallest scale. In three contributions extensive computational results of many examples are presented.

### Mechanics of Solids

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

### 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.

### Continuum Theory of Plasticity

The only modern, up-to-date introduction to plasticity Despite phenomenal progress in plasticity research over the past fifty years, introductory books on plasticity have changed very little. To meet the need for an up-to-date introduction to the field, Akhtar S. Khan and Sujian Huang have written Continuum Theory of Plasticity--a truly modern text which offers a continuum mechanics approach as well as a lucid presentation of the essential classical contributions. The early chapters give the reader a review of elementary concepts of plasticity, the necessary background material on continuum mechanics, and a discussion of the classical theory of plasticity. Recent developments in the field are then explored in sections on the Mroz Multisurface model, the Dafalias and Popov Two Surface model, the non-linear kinematic hardening model, the endochronic theory of plasticity, and numerous topics in finite deformation plasticity theory and strain space formulation for plastic deformation. Final chapters introduce the fundamentals of the micromechanics of plastic deformation and the analytical coupling between deformation of individual crystals and macroscopic material response of the polycrystal aggregate. For graduate students and researchers in engineering mechanics, mechanical, civil, and aerospace engineering, Continuum Theory of Plasticity offers a modern, comprehensive introduction to the entire subject of plasticity.

### Fundamental Aspects of Dislocation Interactions

Fundamental Aspects of Dislocation Interactions: Low-Energy Dislocation Structures III covers the papers presented at a European Research Conference on Plasticity of Materials-Fundamental Aspects of Dislocation Interactions: Low-Energy Dislocation Structures III, held on August 30-September 4, 1992 in Ascona, Switzerland. The book focuses on the processes, technologies, reactions, transformations, and approaches involved in dislocation interactions. The selection first offers information on work softening and Hall-Petch hardening in extruded mechanically alloyed alloys and dynamic origin of dislocation structures in deformed solids. Discussions focus on stress-strain behavior in relation to composition, structure, and annealing; comparison of stress-strain curves with work softening theory; sweeping and trapping mechanism; and model of dipolar wall structure formation. The text then ponders on plastic instabilities and their relation to fracture and dislocation and kink dynamics in f.c.c. metals studied by mechanical spectroscopy. The book takes a look at misfit dislocation generation mechanisms in heterostructures and evolution of dislocation structure on the interfaces associated with diffusionless phase transitions. Discussions focus on dislocation representation of a wall of elastic domains; equation of equilibrium of an elastic domain; transformation of dislocations; and theoretical and experimental background. The selection is a valuable reference for readers interested in dislocation interactions.

### 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.

### Reversible Crystal Plasticity

Market: Research scientists and students in materials science, physical metallurgy, and solid state physics. This detailed monograph presents the theory of reversible plasticity as a new direction of development in crystal physics. It features a unique integration of traditional concepts and new studies of high- temperature superconductors, plus in-depth analyses of various related phenomena. Among the topics discussed are elastic twinning (discovered by Dr. Garber), thermoelastic martensite transformation, superelasticity, shape memory effects, the domain structure of ferroelastics, and elastic aftereffect. Partial Contents: 1. Transformation of Dislocations. Dislocation Description of a Phase Transformation Front. 2. Dislocation Theory of Elastic Twinning. Twinning of Crystals: Principal Definitions. 3. Statics and Dynamics of Elastic Twinning. Discovery of Elastic Twinning. Verification of the Validity of the Static Theory in a Description of the Macroscopic Behavior of an Elastic Twin. 4. Thermoelastic Martensitic Transformation. Martensitic Transformation: a Diffusionless Process of Rebuilding the Crystal Lattice. 5. Superelasticity and the Shape Memory Effect. Main Characteristics of Superelasticity and Shape Memory Effects. 6. Reversible Plasticity of Ferroelastics. Ferroelastics: Main Definitions. 7. Investigation of Reversible Plasticity of Crystals by the Acoustic Emission Method. Emission of Sound by Moving Dislocations andTheir Pileups. Methods Used in Experimental Investigations of the Acoustic Emission Generated by a SingleTwin. Acoustic Emission Associated with Elastic Twinning. 8. Influence of Reversible Plasticity of Superconductors on Their Physical Properties. Reversible Changes in the Parameters of Traditional Superconductors under the Action of Elastic Stresses. Influence of Magnetic Fields on Reversible Changes in the Parameters

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Author: Peter M. Anderson,John P. Hirth,Jens Lothe

Publisher: Cambridge University Press

ISBN: 1316785106

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Category: Dislocations in crystals

Page: 363

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*conference proceedings, National Bureau of Standards, April 21-25, 1969*

Author: Institute for Materials Research (U.S.),United States. National Bureau of Standards

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Author: Saka Hiroyasu

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*Atomistic and Fractal Continuum Approaches*

Author: C. W. Lung,Norman Henry March

Publisher: World Scientific

ISBN: 9789810226220

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*International Series of Monographs in Natural Philosophy*

Author: I. Kovács,L. Zsoldos

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ISBN: 1483146189

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*Proceedings of the International Conference, Gainesville, Florida, USA, June 22-27, 1980*

Author: M.F. Ashby,R. Bullough,C.S. Hartley

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ISBN: 1483158276

Category: Technology & Engineering

Page: 598

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*Theoretical Concepts, Computational Methods and Experimental Verification*

Author: Carlo Sansour,Sebastian Skatulla

Publisher: Springer Science & Business Media

ISBN: 3709112222

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*The Rodney Hill 60th Anniversary Volume*

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Publisher: Elsevier

ISBN: 1483299325

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*V. A. Marchenko's 90th Anniversary Collection*

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Category: Mathematics

Page: 251

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Author: Akhtar S. Khan,Sujian Huang

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*Low-Energy Dislocation Structures III*

Author: G. Kostorz,H. A. Calderon,J. L. Martin

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ISBN: 1483274926

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Author: M. N. SHETTY

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