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.

Author: John Price Hirth

Publisher:

ISBN:

Category: Science

Page: 857

View: 688

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.

Theory of Dislocations

This book provides a comprehensive understanding of the nucleation, motion, and interaction between crystalline defects called dislocations.

Author: Peter M. Anderson

Publisher: Cambridge University Press

ISBN: 0521864364

Category: Science

Page: 950

View: 951

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

Nonlinear Theory of Dislocations and Disclinations in Elastic Bodies

Introduction We will investigate Volterra's dislocations in the framework of
nonlinear elasticity. Volterra's ... The physics of strength and plasticity mainly
treats the theory of translational-type defects but it is well known that the
rotational defects ...

Author: Leonid M. Zubov

Publisher: Springer Science & Business Media

ISBN: 3540684301

Category: Science

Page: 208

View: 964

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.

Mathematical Theory of Dislocations 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 ...

Author: R. W. Lardner

Publisher: Toronto ; Buffalo : University of Toronto Press

ISBN:

Category: Dislocations in crystals

Page: 363

View: 469

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.

Unified Theory of Dislocation Motion Including Thermal Activation and Inertial Effects

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.

Author:

Publisher:

ISBN:

Category:

Page:

View: 129

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.

Introduction to Anisotropic Elasticity Theory of Dislocations

Author: John Wickham Steeds

Publisher: Oxford University Press, USA

ISBN:

Category: Anisotropy

Page: 274

View: 583


Plane Harmonic Waves in the Linearized Gauge Theory of Dislocations

INTRODUCTION A gauge theory of dislocations has been proposed recently [ 3 ]
, which models continuous distributions of dislocations in terms of gauge fields .
These fields compensate for position - time dependent translations in the ...

Author: Dimitris C. Lagoudas

Publisher:

ISBN:

Category:

Page: 62

View: 715


Spectral Theory and Differential Equations

We review the continuous theory of dislocations from a mathematical point of
view using mathematical tools, which were only partly available when the theory
was developed several decades ago. We define a space of dislocation measures
, ...

Author: E. Khruslov

Publisher: American Mathematical Society

ISBN: 1470416832

Category: Mathematics

Page: 251

View: 658

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.

Classical Theory Of Crystal Dislocations From Iron To Gallium Nitride

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 ...

Author: Saka Hiroyasu

Publisher: World Scientific

ISBN: 9814749184

Category: Science

Page: 380

View: 995

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.

Dislocations in Solids

Author: Frank Reginald Nunes Nabarro

Publisher:

ISBN: 9780444852694

Category: Dislocations in crystals

Page: 350

View: 318


Dislocation Modelling of Physical Systems

ADVANCES IN THE CONTINUUM ELASTIC THEORY OF DISLOCATIONS David
M. Barnett Department of Materials Science and Engineering Stanford University,
Stanford, Ca. 94.305 1. INTRODUCTION Since more than eleven years has ...

Author: M.F. Ashby

Publisher: Elsevier

ISBN: 1483158276

Category: Technology & Engineering

Page: 598

View: 590

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.

Mechanical Properties of Metals

Chapter 3 Introduction to Extended Defects and Mechanical Strength Dislocation
theory relates the plastic properties of crystals to atomic structure . Dislocations
are more complicated than most other lattice defects . It is not easy to work with ...

Author: C. W. Lung

Publisher: World Scientific

ISBN: 9789810226220

Category: Technology & Engineering

Page: 398

View: 398

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.

Theory of Crystal Dislocations

Author: Frank Reginald Nunes Nabarro

Publisher:

ISBN:

Category: Science

Page: 821

View: 393


Physical Metallurgy

We shall first approach the problem using the general principles of dislocation
theory , section 12.2 . ... 12.2 Slip and dislocation movement According to section
11.1 the movement of dislocations in the slip plane by a mean distance dx results
 ...

Author: Paul Haasen

Publisher: Cambridge University Press

ISBN: 9780521559256

Category: Science

Page: 420

View: 390

Updated review of a well established graduate text.

Earth Dynamics

dislocation. theory. In addition to generating seismic waves, tsunamis and free
oscillations of the Earth, earthquakes ... The basis for modelling the displacement
fields is Volterra's theory of elastic dislocations, published in 1907, dealing with ...

Author: D. E. Smylie

Publisher: Cambridge University Press

ISBN: 1107310628

Category: Science

Page:

View: 596

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.

Mechanics of Solids

Theory. of. Dislocations. by J. D. ESHELBY Department of the Theory of Materials
, University of Sheffield Summary Various topics in the theory of dislocations in
linear elastic continua are reviewed using, wherever possible, simple physical ...

Author: H. G. Hopkins

Publisher: Elsevier

ISBN: 1483299325

Category: Science

Page: 720

View: 322

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

Fundamental Aspects of Dislocation Theory

Author: Conference on Fundamental Aspects of Dislocation Theory

Publisher:

ISBN:

Category: Dislocations in crystals

Page:

View: 602


NBS Special Publication

Question 7 : What quantum effects are likely to be important in dislocation theory
? Conversely , what is the hope of doing more meaningful quantum calculations
in dislocation theory ? Quantum effects will presumably be most important in ...

Author:

Publisher:

ISBN:

Category: Weights and measures

Page:

View: 594


Publications of the National Bureau of Standards Catalog

Three such parameters appear naturally : the magnitude of the distortion
produced by dislocations , the magnitude of the ... A micromorphic approach to
dislocation theory and its relation to several existing theories , A. C. Eringen and
W. D. ...

Author: United States. National Bureau of Standards

Publisher:

ISBN:

Category: Government publications

Page:

View: 471


DISLOCATIONS AND MECHANICAL BEHAVIOUR OF MATERIALS

The theory of dislocations introduced as line singularities in continuum
mechanics in the very early part of 1900 eventually found its way to explain
crystal plasticity and now provides a formal connection between different
branches of modern ...

Author: M. N. SHETTY

Publisher: PHI Learning Pvt. Ltd.

ISBN: 8120346386

Category: Technology & Engineering

Page: 1000

View: 398

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.