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Singular Solutions In Plasticity
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Book Synopsis Singular Solutions in Plasticity by : Sergei Alexandrov
Download or read book Singular Solutions in Plasticity written by Sergei Alexandrov and published by Springer. This book was released on 2017-07-12 with total page 115 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book deals with singular solutions that appear in the vicinity of maximum friction surfaces for several rigid plastic models. In particular, it discusses precise asymptotic expansions as a necessary ingredient for the development of efficient numerical methods to solve boundary value problems that involve the maximum friction law as a boundary condition. An applied aspect of the singular solutions considered is that these solutions are capable of predicting the development of narrow hard layers near frictional interfaces in manufacturing processes.
Book Synopsis Singular Integral Equations by : E.G. Ladopoulos
Download or read book Singular Integral Equations written by E.G. Ladopoulos and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 569 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present book deals with the finite-part singular integral equations, the multidimensional singular integral equations and the non-linear singular integral equations, which are currently used in many fields of engineering mechanics with applied character, like elasticity, plasticity, thermoelastoplasticity, viscoelasticity, viscoplasticity, fracture mechanics, structural analysis, fluid mechanics, aerodynamics and elastodynamics. These types of singular integral equations form the latest high technology on the solution of very important problems of solid and fluid mechanics and therefore special attention should be given by the reader of the present book, who is interested for the new technology of the twentieth-one century. Chapter 1 is devoted with a historical report and an extended outline of References, for the finite-part singular integral equations, the multidimensional singular integral equations and the non-linear singular integral equations. Chapter 2 provides a finite-part singular integral representation analysis in Lp spaces and in general Hilbert spaces. In the same Chapter are investigated all possible approximation methods for the numerical evaluation of the finite-part singular integral equations, as closed form solutions for the above type of integral equations are available only in simple cases. Also, Chapter 2 provides further a generalization of the well known Sokhotski-Plemelj formulae and the Nother theorems, for the case of a finite-part singular integral equation.
Book Synopsis Methods of Analysis and Solutions of Crack Problems by : George C. Sih
Download or read book Methods of Analysis and Solutions of Crack Problems written by George C. Sih and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 562 pages. Available in PDF, EPUB and Kindle. Book excerpt: It is weH known that the traditional failure criteria cannot adequately explain failures which occur at a nominal stress level considerably lower than the ultimate strength of the material. The current procedure for predicting the safe loads or safe useful life of a structural member has been evolved around the discipline oflinear fracture mechanics. This approach introduces the concept of a crack extension force which can be used to rank materials in some order of fracture resistance. The idea is to determine the largest crack that a material will tolerate without failure. Laboratory methods for characterizing the fracture toughness of many engineering materials are now available. While these test data are useful for providing some rough guidance in the choice of materials, it is not clear how they could be used in the design of a structure. The understanding of the relationship between laboratory tests and fracture design of structures is, to say the least, deficient. Fracture mechanics is presently at astandstill until the basic problems of scaling from laboratory models to fuH size structures and mixed mode crack propagation are resolved. The answers to these questions require some basic understanding ofthe theory and will not be found by testing more specimens. The current theory of fracture is inadequate for many reasons. First of aH it can only treat idealized problems where the applied load must be directed normal to the crack plane.
Book Synopsis Solution of Crack Problems by : D.A. Hills
Download or read book Solution of Crack Problems written by D.A. Hills and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is concerned with the numerical solution of crack problems. The techniques to be developed are particularly appropriate when cracks are relatively short, and are growing in the neighbourhood of some stress raising feature, causing a relatively steep stress gradient. It is therefore practicable to represent the geometry in an idealised way, so that a precise solution may be obtained. This contrasts with, say, the finite element method in which the geometry is modelled exactly, but the subsequent solution is approximate, and computationally more taxing. The family of techniques presented in this book, based loosely on the pioneering work of Eshelby in the late 1950's, and developed by Erdogan, Keer, Mura and many others cited in the text, present an attractive alternative. The basic idea is to use the superposition of the stress field present in the unfiawed body, together with an unknown distribution of 'strain nuclei' (in this book, the strain nucleus employed is the dislocation), chosen so that the crack faces become traction-free. The solution used for the stress field for the nucleus is chosen so that other boundary conditions are satisfied. The technique is therefore efficient, and may be used to model the evolution of a developing crack in two or three dimensions. Solution techniques are described in some detail, and the book should be readily accessible to most engineers, whilst preserving the rigour demanded by the researcher who wishes to develop the method itself.
Book Synopsis Plasticity and failure behavior of solids by : George C. Sih
Download or read book Plasticity and failure behavior of solids written by George C. Sih and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt: More than six years ago, several of Rabotnov's close friends and colleagues from the USSR and USA decided to contribute a volume on Plasticity and Failure of Solids in honor of his 70th birthday. The celebration was interrupted unexpectedly by his death on May 13, 1985 at which time another decision was made still to publish the work, but as a memorial volume. As in any field of scientific endeavor, research confronts the scientists with anomalies; our chosen area is no exception. The ways in which failure criteria and plasticity theory are combined can differ widely among the researchers; they will never yield quite the same results. Each of the invited contributors has, therefore, been encouraged to express his views and to expound on his personal opinion. The contributors are free of enumeration from the authority and/or consensus of any scientific society or community. What impedes scientific process is the esoteric tradition of accepting ideas and theories by consensus among members of societies and communities. The absence of such a trend is refreshing; the collaboration between the authors from the USSR and the USA had to be one of the contributing factors. Finally, the editors wish to acknowledge the authors who have made the publication of this volume possible. a. c. Sib S. T. Mileiko AJ. Ishlinsky xi The late Professor Yuriy Nickolaevich Rabotnov (February 24, 1914 - May 13, 1985) xii Scientific biography of the late academician Yu. N.
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
Download or read book Fatigue of Materials written by S. Suresh and published by Cambridge University Press. This book was released on 1998-10-29 with total page 708 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written by a leading researcher in the field, this revised and updated second edition of a highly successful book provides an authoritative, comprehensive and unified treatment of the mechanics and micromechanisms of fatigue in metals, non-metals and composites. The author discusses the principles of cyclic deformation, crack initiation and crack growth by fatigue, covering both microscopic and continuum aspects. The book begins with discussions of cyclic deformation and fatigue crack initiation in monocrystalline and polycrystalline ductile alloys as well as in brittle and semi-/non-crystalline solids. Total life and damage-tolerant approaches are then introduced in metals, non-metals and composites followed by more advanced topics. The book includes an extensive bibliography and a problem set for each chapter, together with worked-out example problems and case studies. This will be an important reference for anyone studying fracture and fatigue in materials science and engineering, mechanical, civil, nuclear and aerospace engineering, and biomechanics.
Book Synopsis A Review of Path-independent Integrals in Elastic-plastic Fracture Mechanics, Task 4 by :
Download or read book A Review of Path-independent Integrals in Elastic-plastic Fracture Mechanics, Task 4 written by and published by . This book was released on 1985 with total page 40 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Fracture Analysis written by and published by ASTM International. This book was released on 1974 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Fracture Analysis by : Paul C. Paris
Download or read book Fracture Analysis written by Paul C. Paris and published by ASTM International. This book was released on 1974 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Differential Equations by : I.W. Knowles
Download or read book Differential Equations written by I.W. Knowles and published by Elsevier. This book was released on 2000-04-01 with total page 629 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume forms a record of the lectures given at this International Conference. Under the general heading of the equations of mathematical physics, contributions are included on a broad range of topics in the theory and applications of ordinary and partial differential equations, including both linear and non-linear equations. The topics cover a wide variety of methods (spectral, theoretical, variational, topological, semi-group), and a equally wide variety of equations including the Laplace equation, Navier-Stokes equations, Boltzmann's equation, reaction-diffusion equations, Schroedinger equations and certain non-linear wave equations. A number of papers are devoted to multi-particle scattering theory, and to inverse theory. In addition, many of the plenary lectures contain a significant amount of survey material on a wide variety of these topics.
Book Synopsis Engineering Design Applications by : Andreas Öchsner
Download or read book Engineering Design Applications written by Andreas Öchsner and published by Springer. This book was released on 2018-05-19 with total page 515 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume gives an overview on recent developments for various applications of modern engineering design. Different engineering disciplines such as mechanical, materials, computer and process engineering provide the foundation for the design and development of improved structures, materials and processes. The modern design cycle is characterized by an interaction of different disciplines and a strong shift to computer-based approaches where only a few experiments are performed for verification purposes. A major driver for this development is the increased demand for cost reduction, which is also connected to environmental demands. In the transportation industry (e.g. automotive or aerospace), this is connected with the demand for higher fuel efficiency, which is related to the operational costs and the lower harm for the environment. One way to fulfil such requirements are lighter structures and/or improved processes for energy conversion. Another emerging area is the interaction of classical engineering with the health and medical sector. In this book, many examples of the mentioned design applications are presented.
Book Synopsis Elastic-plastic Fracture: Second Symposium, Volume I- Inelastic Crack Analysis by :
Download or read book Elastic-plastic Fracture: Second Symposium, Volume I- Inelastic Crack Analysis written by and published by ASTM International. This book was released on 1983 with total page 766 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Computational Plasticity by : D. R. J. Owen
Download or read book Computational Plasticity written by D. R. J. Owen and published by . This book was released on 1987 with total page 1190 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Advances in Engineering Plasticity and its Applications by : W.B. Lee
Download or read book Advances in Engineering Plasticity and its Applications written by W.B. Lee and published by Elsevier. This book was released on 2012-12-02 with total page 1155 pages. Available in PDF, EPUB and Kindle. Book excerpt: Classical plasticity is a well established domain of mechanics and engineering, providing the basis for many engineering structural design, manufacturing processes and natural phenomena. New important characteristics are emerging in the interdisciplinary approach of micro-, meso- and macro-mechanics, and through analysis, experiments and computation.The interaction of mechanics and materials scientists is introducing tremendous changes in the two disciplines, so that the possibility of materials being processed on the microscale to achieve the desired macroscopic properties is rapidly approaching.A comprehensive overview on the latest developments in both macroplasticity and microplasticity theories, their interactions and applications in various engineering disciplines such as solid mechanics, structural analysis and geo-mechanics, materials science and technology, and metal forming and machining, is given in this volume. Case studies written by international experts focus on aspects such as the applications of plasticity in interdisciplinary and non-conventional areas. The 150 papers provide a current and useful reference source on the latest advances for both research workers and engineers in the various fields of plasticity.
Book Synopsis Fracture Mechanics Criteria and Applications by : E.E. Gdoutos
Download or read book Fracture Mechanics Criteria and Applications written by E.E. Gdoutos and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 326 pages. Available in PDF, EPUB and Kindle. Book excerpt: It is difficult to do justice to fracture mechanics in a textbook, for the subject encompasses so many disciplines. A general survey of the field would serve no purpose other than give a collection of references. The present book by Professor E. E. Gdoutos is refreshing because it does not fall into the esoteric tradition of outlining equations and results. Basic ideas and underlying principles are clearly explained as to how they are used in application. The presentations are concise and each topic can be understood by advanced undergraduates in material science and continuum mechanics. The book is highly recommended not only as a text in fracture mechanics but also as a reference to those interested in the general aspects of failure analysis. In addition to providing an in-depth review of the analytical methods for evaluating the fundamental quantities used in linear elastic fracture mechanics, various criteria are discussed re:O. ecting their limitations and applications. Par ticular emphases are given to predicting crack initiation, subcritical growth and the onset of rapid fracture from a single criterion. Those models in which it is assumed that the crack extends from tip to tip rely on the specific surface energy concept. The differences in the global and energy states before and after crack extension were associated with the energy required to create a unit area of crack surface. Applications were limited by the requirement of self-similar crack growth.
Book Synopsis Computational Plasticity by : Ernest Hinton
Download or read book Computational Plasticity written by Ernest Hinton and published by . This book was released on 1987 with total page 1034 pages. Available in PDF, EPUB and Kindle. Book excerpt:
