Handbook On Mechanics Of Inelastic Solids In 2 Volumes
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Handbook On Mechanics Of Inelastic Solids (In 2 Volumes) by David W A Rees Pdf
This handbook covers a number of the more recent developments regarding the mechanics of deforming solids. In recent years, much progress has been reported in the wide-ranging mechanical behaviour of solids under stress. Here the term stress in a solid arises from a number of external actions including direct tension, compression, pressure, bending, shear and torsion. Many of the topics covered are yet to find their way into the standard texts, which are often restricted to isotropic elasticity and plasticity.In this two-volume work, what might previously have been regarded as disparate, 'specialist' topics have been placed within a wider mechanics arena to emphasise their common, underlying principles. That arena is taken generally as one of inelasticity for dealing with the essential mechanics of these phenomena. Therein, this text brings together theory, experimental data, key references, examples and exercises, particularly those that relate to the important advances in the subject, both old and new. The presentation of material featured in this way anticipates that in their turn these additional topics will be recognised as essential material for study among engineers, physicists and applied mathematicians at undergraduate and postgraduate levels.
Handbook on Mechanics of Inelastic Solids by David W. A. Rees Pdf
"This handbook covers a number of the more recent developments regarding the mechanics of deforming solids. In recent years, much progress has been reported in the wide-ranging mechanical behaviour of solids under stress. Here the term stress in a solid arises from a number of external actions including direct tension, compression, pressure, bending, shear and torsion. Many of the topics covered are yet to find their way into the standard texts, which are often restricted to isotropic elasticity and plasticity. In this two-volume work, what might previously have been regarded as disparate, 'specialist' topics have been placed within a wider mechanics arena to emphasise their common, underlying principles. That arena is taken generally as one of inelasticity for dealing with the essential mechanics of these phenomena. Therein, this text brings together theory, experimental data, key references, examples and exercises, particularly those that relate to the important advances in the subject, both old and new. The presentation of material featured in this way anticipates that in their turn these additional topics will be recognised as essential material for study among engineers, physicists and applied mathematicians at undergraduate and postgraduate levels"--
Micromechanics of Defects in Solids by T. Mura Pdf
This book stems from a course on Micromechanics that I started about fifteen years ago at Northwestern University. At that time, micromechanics was a rather unfamiliar subject. Although I repeated the course every year, I was never convinced that my notes have quite developed into a final manuscript because new topics emerged constantly requiring revisions, and additions. I finally came to realize that if this is continued, then I will never complete the book to my total satisfaction. Meanwhile, T. Mori and I had coauthored a book in Japanese, entitled Micromechanics, published by Baifu-kan, Tokyo, in 1975. It received an extremely favorable response from students and re searchers in Japan. This encouraged me to go ahead and publish my course notes in their latest version, as this book, which contains further development of the subject and is more comprehensive than the one published in Japanese. Micromechanics encompasses mechanics related to microstructures of materials. The method employed is a continuum theory of elasticity yet its applications cover a broad area relating to the mechanical behavior of materi als: plasticity, fracture and fatigue, constitutive equations, composite materi als, polycrystals, etc. These subjects are treated in this book by means of a powerful and unified method which is called the 'eigenstrain method. ' In particular, problems relating to inclusions and dislocations are most effectively analyzed by this method, and therefore, special emphasis is placed on these topics.
Reissue of Encyclopedia of Physics / Handbuch der Physik, Volume VIa The mechanical response of solids was first reduced to an organized science of fairly general scope in the nineteenth century. The theory of small elastic deformations is in the main the creation of CAUCHY, who, correcting and simplifying the work of NAVIER and POISSON, through an astounding application of conjoined scholarship, originality, and labor greatly extended in breadth the shallowest aspects of the treatments of par ticular kinds of bodies by GALILEO, LEIBNIZ, JAMES BERNOULLI, PARENT, DANIEL BER NOULLI, EULER, and COULOMB. Linear elasticity became a branch of mathematics, culti vated wherever there were mathematicians. The magisterial treatise of LOVE in its second edition, 1906 - clear, compact, exhaustive, and learned - stands as the summary of the classical theory. It is one of the great "gaslight works" that in BOCHNER'S words! "either do not have any adequate successor[ s] . . . or, at least, refuse to be super seded . . . ; and so they have to be reprinted, in ever increasing numbers, for active research and reference", as long as State and Society shall permit men to learn mathe matics by, for, and of men's minds. Abundant experimentation on solids was done during the same century. Usually the materials arising in nature, with which experiment most justly concerns itself, do not stoop easily to the limitations classical elasticity posits.
Handbook of Elasticity Solutions by Mark L. Kachanov,B. Shafiro,Igor Tsukrov Pdf
This Handbook is intended as a desk reference for researchers, students and engineers working in various areas of solid mechanics and quantitative materials science. It contains a broad range of elasticity solutions. In particular, it covers the following topics: -Basic equations in various coordinate systems, -Green's functions for isotropic and anisotropic solids, -Cracks in two- and three-dimensional solids, -Eshelby's problems and related results, -Stress concentrations at inhomogeneities, -Contact problems, -Thermoelasticity. The solutions have been collected from a large number of monographs and research articles. Some of the presented results were obtained only recently and are not easily available. All solutions have been thoroughly checked and transformed to a userfriendly form.
Reissue of Encyclopedia of Physics / Handbuch der Physik, Volume VIa The mechanical response of solids was first reduced to an organized science of fairly general scope in the nineteenth century. The theory of small elastic deformations is in the main the creation of CAUCHY, who, correcting and simplifying the work of NAVIER and POISSON, through an astounding application of conjoined scholarship, originality, and labor greatly extended in breadth the shallowest aspects of the treatments of par ticular kinds of bodies by GALILEO, LEIBNIZ, JAMES BERNOULLI, PARENT, DANIEL BER NOULLI, EULER, and COULOMB. Linear elasticity became a branch of mathematics, culti vated wherever there were mathematicians. The magisterial treatise of LOVE in its second edition, 1906 - clear, compact, exhaustive, and learned - stands as the summary of the classical theory. It is one of the great "gaslight works" that in BOCHNER'S words! "either do not have any adequate successor[ s] . . . or, at least, refuse to be super seded . . . ; and so they have to be reprinted, in ever increasing numbers, for active research and reference", as long as State and Society shall permit men to learn mathe matics by, for, and of men's minds. Abundant experimentation on solids was done during the same century. Usually the materials arising in nature, with which experiment most justly concerns itself, do not stoop easily to the limitations classical elasticity posits.
Theory and Practice of Solid Mechanics by Thomas Dawson Pdf
This book is intended for use by engineers and scientists who have a need for an introduction to advanced topics in solid mechanics. It deals with modern concepts of continuum mechanics as well as with details of the classical theories of elasticity, thermal elasticity, viscous elasticity, and plasticity of solids. The book assumes no prior knowledge of the mechanics of solids and develops the subject entirely from first principles. Rigorous derivations of governing equations are also followed by applications to a number of basic and practical problems. Cartesian tensors are used throughout the book to express mathematical concepts in a clear and concise fashion. Chapter I, accordingly, provides a discussion of this topic for those readers not already familiar with it. This material is then followed by detailed discussions in Chapters 2 and 3 of the kinematics of continuum motion and the fundamental principles of mass conservation and momentum balance. Unlike traditional treatments, this material is first developed for the general large-deformation case and only then restricted to small deformations for use in the usual engineering appli cations. In this way the reader thus gets a fuller picture of the basic governing relations of solid mechanics.
Statistical Mechanics of Elasticity by J.H. Weiner Pdf
Advanced, self-contained treatment illustrates general principles and elastic behavior of solids. Part 1, based on classical mechanics, studies thermoelastic behavior of crystalline and polymeric solids. Part 2, based on quantum mechanics, focuses on interatomic force laws, behavior of solids, and thermally activated processes. 96 figures. 1983 edition.
Continuum Mechanics - Volume I by José Merodio,Giuseppe Saccomandi Pdf
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.
A comprehensive overview is given in this book towards a fundamental understanding of the micromechanics of the overall response and failure modes of advanced materials, such as ceramics and ceramic and other composites. These advanced materials have become the focus of systematic and extensive research in recent times. The book consists of two parts. The first part reviews solids with microdefects such as cavities, cracks, and inclusions, as well as elastic composites. To render the book self-contained, the second part focuses on the fundamentals of continuum mechanics, particularly linear elasticity which forms the basis for the development of small deformation micromechanics. In Part 1, a fundamental and general framework for quantitative, rigorous analysis of the overall response and failure modes of microstructurally heterogeneous solids is systematically developed. These expressions apply to broad classes of materials with inhomogeneities and defects. While for the most part, the general framework is set within linear elasticity, the results directly translate to heterogeneous solids with rate-dependent or rate-independent inelastic constituents. This application is specifically referred to in various chapters. The general exact correlations obtained between the overall properties and the microstructure are then used together with simple models, to develop techniques for direct quantitative evaluation of the overall response which is generally described in terms of instantaneous overall moduli or compliance. The correlations among the corresponding results for a variety of problems are examined in great detail. The bounds as well as the specific results, include new observations and original developments, as well as an in-depth account of the state of the art. Part 2 focuses on Elasticity. The section on variational methods includes some new elements which should prove useful for application to advanced modeling, as well as solutions of composites and related heterogeneous bodies. A brief modern version of elements in vector and tensor algebra is provided which is particularly tailored to provide a background for the rest of this book. The data contained in this volume as Part 1 includes new results on many basic issues in micromechanics, which will be helpful to graduate students and researchers involved with rigorous physically-based modeling of overall properties of heterogeneous solids.
Theory of Elasticity by L D Landau,L. P. Pitaevskii,A. M. Kosevich,E.M. Lifshitz Pdf
A comprehensive textbook covering not only the ordinary theory of the deformation of solids, but also some topics not usually found in textbooks on the subject, such as thermal conduction and viscosity in solids.
