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Mathematical Theory Of Dislocations And Fracture
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Book Synopsis Mathematical Theory of Dislocations and Fracture by : R. W. Lardner
Download or read book Mathematical Theory of Dislocations and Fracture written by R. W. Lardner and published by Toronto ; Buffalo : University of Toronto Press. This book was released on 1974 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Theory of Dislocations by : Peter M. Anderson
Download or read book Theory of Dislocations written by Peter M. Anderson and published by Cambridge University Press. This book was released on 2017-01-16 with total page 721 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a comprehensive understanding of the nucleation, motion, and interaction between crystalline defects called dislocations.
Book Synopsis Dislocation Based Fracture Mechanics by : Johannes Weertman
Download or read book Dislocation Based Fracture Mechanics written by Johannes Weertman and published by World Scientific. This book was released on 1996 with total page 552 pages. Available in PDF, EPUB and Kindle. Book excerpt: The dislocation is the basic building block of the crack in an elastic-plastic solid. Fracture mechanics is developed in this text from its dislocation foundation. It is the only text to do so. It is written for the graduate student and the new investigator entering the fracture field as well as the experienced scientist who has not used the dislocation approach. The dislocation mechanics needed to find the dislocation density fields of crack tip plastic zones is developed in detail. All known dislocation based solutions are given for the three types of cracks in elastic-plastic solids are given.
Book Synopsis Mathematical Theory of Dislocations by : Toshio Mura
Download or read book Mathematical Theory of Dislocations written by Toshio Mura and published by . This book was released on 1969 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Theory of Dislocations by : John Price Hirth
Download or read book Theory of Dislocations written by John Price Hirth and published by . This book was released on 1992 with total page 888 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Fundamental Aspects of Dislocation Theory by : John Arthur Simmons
Download or read book Fundamental Aspects of Dislocation Theory written by John Arthur Simmons and published by . This book was released on 1970 with total page 752 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Continuum Mechanics - Volume III by : José Merodio
Download or read book Continuum Mechanics - Volume III written by José Merodio and published by EOLSS Publications. This book was released on 2011-11-30 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main objective of continuum mechanics is to predict the response of a body that is under the action of external and/or internal influences, i.e. to capture and describe different mechanisms associated with the motion of a body that is under the action of loading. A body in continuum mechanics is considered to be matter continuously distributed in space. Hence, no attention is given to the microscopic (atomic) structure of real materials although non-classical generalized theories of continuum mechanics are able to deal with the mesoscopic structure of matter (i.e. defects, cracks, dispersive lengths, ...). Matter occupies space in time and the response of a body in continuum mechanics is restricted to the Newtonian space-time of classical mechanics in this volume. Einstein’s theory of relativity is not considered. In the classical sense, loading is considered as any action that changes the motion of the body. This includes, for instance, a change in temperature or a force applied. By introducing the concept of configurational forces a load may also be considered as a force that drives a change in the material space, for example the opening of a crack. Continuum mechanics refers to field descriptions of phenomena that are usually modeled by partial differential equations and, from a mathematical point of view, require non-standard knowledge of non-simple technicalities. One purpose in this volume has been to present the different subjects in a self-contained way for a general audience. The organization of the volume is as follows. Mathematically, to predict the response of a body it is necessary to formulate boundary value problems governed by balance laws. The theme of the volume, that is an overview of the subject, has been written with this idea in mind for beginners in the topic. Chapter 1 is an introduction to continuum mechanics based on a one-dimensional framework in which, simultaneously, a more detailed organization of the chapters of this volume is given. A one-dimensional approach to continuum mechanics in some aspects maybe misleading since the analysis is oversimplified. Nevertheless, it allows us to introduce the subject through the early basic steps of the continuum analysis for a general audience. Chapters 3, 4 and 5 are devoted to the mathematical setting of continuum analysis: kinematics, balance laws and thermodynamics, respectively. Chapters 6 and 7 are devoted to constitutive equations. Chapters 8 and 9 deal with different issues in the context of linear elastostatics and linear elastodynamics and waves, respectively, for solids. Linear Elasticity is a classical and central theory of continuum mechanics. Chapter 10 deals with fluids while chapter 11 analyzes the coupled theory of thermoelasticity. Chapter 12 deals with nonlinear elasticity and its role in the continuum framework. Chapters 13 and 14 are dedicated to different applications of solid and fluid mechanics, respectively. The rest of the chapters involve some advanced topics. Chapter 15 is dedicated to turbulence, one of the main challenges in fluid mechanics. Chapter 16 deals with electro-magneto active materials (a coupled theory). Chapter 17 deals with specific ideas of soft matter and chapter 18 deals with configurational forces. In chapter 19, constitutive equations are introduced in a general (implicit) form. Well-posedness (existence, time of existence, uniqueness, continuity) of the equations of the mechanics of continua is an important topic which involves sophisticated mathematical machinery. Chapter 20 presents different analyses related to these topics. Continuum Mechanics is an interdisciplinary subject that attracts the attention of engineers, mathematicians, physicists, etc., working in many different disciplines from a purely scientific environment to industrial applications including biology, materials science, engineering, and many other subjects.
Book Synopsis Mathematical Theory of Elasticity of Quasicrystals and Its Applications by : Tian-You Fan
Download or read book Mathematical Theory of Elasticity of Quasicrystals and Its Applications written by Tian-You Fan and published by Springer. This book was released on 2016-09-20 with total page 462 pages. Available in PDF, EPUB and Kindle. Book excerpt: This interdisciplinary work on condensed matter physics, the continuum mechanics of novel materials, and partial differential equations, discusses the mathematical theory of elasticity and hydrodynamics of quasicrystals, as well as its applications. By establishing new partial differential equations of higher order and their solutions under complicated boundary value and initial value conditions, the theories developed here dramatically simplify the solution of complex elasticity problems. Comprehensive and detailed mathematical derivations guide readers through the work. By combining theoretical analysis and experimental data, mathematical studies and practical applications, readers will gain a systematic, comprehensive and in-depth understanding of condensed matter physics, new continuum mechanics and applied mathematics. This new edition covers the latest developments in quasicrystal studies. In particular, it pays special attention to the hydrodynamics, soft-matter quasicrystals, and the Poisson bracket method and its application in deriving hydrodynamic equations. These new sections make the book an even more useful and comprehensive reference guide for researchers working in Condensed Matter Physics, Chemistry and Materials Science.
Book Synopsis Dislocation Modelling of Physical Systems by : M.F. Ashby
Download or read book Dislocation Modelling of Physical Systems written by M.F. Ashby and published by Elsevier. This book was released on 2013-10-22 with total page 598 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Introduction to Dislocations by : Derek Hull
Download or read book Introduction to Dislocations written by Derek Hull and published by Elsevier. This book was released on 2011-02-18 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: In materials science, dislocations are irregularities within the crystal structure or atomic scale of engineering materials, such as metals, semi-conductors, polymers, and composites. Discussing this specific aspect of materials science and engineering, Introduction to Dislocations is a key resource for students. The book provides students and practitioners with the fundamental principles required to understand dislocations. Comprised of 10 chapters, the text includes advanced computer modeling and very high-resolution electron microscopy to help readers better understand the structure of atoms close to the core of dislocations. It shows that atomic arrangement has a significant effect on the formation of dislocations and thereby on the properties of solids. The first two chapters of the book present an overview of dislocations. The crystal structures and the various defects and dislocations are discussed, and methods of observation and diagnosis of dislocations are covered. Chapters 3 to 5 discuss the behavior of dislocations and explain how changes in the structure and arrangement of atoms can affect the behavior of dislocations. The three chapters also discuss the mechanical properties of dislocations. The remaining chapters offer a detailed discussion of the mechanisms of dislocations and the mechanical strength of crystalline solids. The book is written for undergraduate- and graduate-level students in both materials science and mechanical engineering. Non-experts and novices working on mechanical properties, mechanisms of deformation and fracture, and properties of materials, as well as industrial and academic researchers, will find this book invaluable. - Long-established academic reference by an expert author team, highly regarded for their contributions to the field. - Uses minimal mathematics to present theory and applications in a detailed yet easy-to-read manner, making this an understandable introduction to a complex topic. - Unlike the main competition, this new edition includes recent developments in the subject and up-to-date references to further reading and research sources.
Book Synopsis Crystals, Defects and Microstructures by : Rob Phillips
Download or read book Crystals, Defects and Microstructures written by Rob Phillips and published by Cambridge University Press. This book was released on 2001-02-22 with total page 807 pages. Available in PDF, EPUB and Kindle. Book excerpt: Examines the advances made in the field in recent years and looks at the various methods now used; ideal for graduate students and researchers.
Download or read book Plasticity written by S. Nemat-Nasser and published by Cambridge University Press. This book was released on 2004-11-29 with total page 858 pages. Available in PDF, EPUB and Kindle. Book excerpt: Publisher Description
Book Synopsis Theory of Electroelasticity by : Zhen-Bang Kuang
Download or read book Theory of Electroelasticity written by Zhen-Bang Kuang and published by Springer Science & Business Media. This book was released on 2013-08-04 with total page 438 pages. Available in PDF, EPUB and Kindle. Book excerpt: Theory of Electroelasticity analyzes the stress, strain, electric field and electric displacement in electroelastic structures such as sensors, actuators and other smart materials and structures. This book also describes new theories such as the physical variational principle and the inertial entropy theory. It differs from the traditional method by using the physical variational principle to derive the governing equations of the piezoelectric material, whereas the Maxwell stress is obtained automatically. By using the inertial entropy theory, the temperature wave equation is obtained very easily. The book is intended for scientists, researchers and engineers in the areas of mechanics, physics, smart material and control engineering as well as mechanical, aeronautical and civil engineering, etc. Zhen-Bang Kuang is a professor at Shanghai Jiao Tong University.
Book Synopsis Nonlocal Continuum Field Theories by : A. Cemal Eringen
Download or read book Nonlocal Continuum Field Theories written by A. Cemal Eringen and published by Springer Science & Business Media. This book was released on 2007-06-14 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonlocal continuum field theories are concerned with material bodies whose behavior at any interior point depends on the state of all other points in the body -- rather than only on an effective field resulting from these points -- in addition to its own state and the state of some calculable external field. Nonlocal field theory extends classical field theory by describing the responses of points within the medium by functionals rather than functions (the "constitutive relations" of classical field theory). Such considerations are already well known in solid-state physics, where the nonlocal interactions between the atoms are prevalent in determining the properties of the material. The tools developed for crystalline materials, however, do not lend themselves to analyzing amorphous materials, or materials in which imperfections are a major part of the structure. Nonlocal continuum theories, by contrast, can describe these materials faithfully at scales down to the lattice parameter. This book presents a unified approach to field theories for elastic solids, viscous fluids, and heat-conducting electromagnetic solids and fluids that include nonlocal effects in both space and time (memory effects). The solutions to the field equations agree remarkably well with atomic theories and experimental observations.
Book Synopsis Generalized Continua and Dislocation Theory by : Carlo Sansour
Download or read book Generalized Continua and Dislocation Theory written by Carlo Sansour and published by Springer Science & Business Media. This book was released on 2012-05-27 with total page 323 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Mechanics in Material Space by : Reinhold Kienzler
Download or read book Mechanics in Material Space written by Reinhold Kienzler and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 302 pages. Available in PDF, EPUB and Kindle. Book excerpt: A novel and unified presentation of the elements of mechanics in material space or configurational mechanics, with applications to fracture and defect mechanics. The level is kept accessible for any engineer, scientist or graduate possessing some knowledge of calculus and partial differential equations, and working in the various areas where rational use of materials is essential.
Book Synopsis Mathematical Theory Of Elasticity And Generalized Dynamics Of Quasicrystals And Its Applications by : Tian-you Fan
Download or read book Mathematical Theory Of Elasticity And Generalized Dynamics Of Quasicrystals And Its Applications written by Tian-you Fan and published by World Scientific. This book was released on 2023-12-27 with total page 636 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives a detailed description on mathematical theory of elasticity and generalized dynamics of solid quasicrystals and its applications.The Chinese edition of the book Mathematical Theory of Elasticity of Quasicrystals and Its Applications was published by the Beijing Institute of Technology Press in 1999, written by Prof Tian-You Fan. In this English edition of the book, the phonon-phason dynamics, defect dynamics and hydrodynamics of solid quasicrystals are included, so the scope of the book is beyond elasticity. Hence, the title in this edition is changed to Mathematical Theory of Elasticity and Generalized Dynamics of Quasicrystals and Its Applications. This book is the first and only monograph in the scope of quasicrystals since first published in 1999 in China and worldwide. In this edition, the two-dimensional quasicrystals of second kind, soft-matter quasicrystals and photonic bade-gap and application of photonic quasicrystals are added.This book combines the mechanical and physical behavior of quasicrystals and mathematical physics, which may help graduate students and researchers in the fields of new materials, condensed matter physics, applied mathematics and engineering science.
