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Elasticity Of Transversely Isotropic Materials
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Book Synopsis Elasticity of Transversely Isotropic Materials by : Haojiang Ding
Download or read book Elasticity of Transversely Isotropic Materials written by Haojiang Ding and published by Springer Science & Business Media. This book was released on 2006-07-09 with total page 443 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book aims to provide a comprehensive introduction to the theory and applications of the mechanics of transversely isotropic elastic materials. There are many reasons why it should be written. First, the theory of transversely isotropic elastic materials is an important branch of applied mathematics and engineering science; but because of the difficulties caused by anisotropy, the mathematical treatments and descriptions of individual problems have been scattered throughout the technical literature. This often hinders further development and applications. Hence, a text that can present the theory and solution methodology uniformly is necessary. Secondly, with the rapid development of modern technologies, the theory of transversely isotropic elasticity has become increasingly important. In addition to the fields with which the theory has traditionally been associated, such as civil engineering and materials engineering, many emerging technologies have demanded the development of transversely isotropic elasticity. Some immediate examples are thin film technology, piezoelectric technology, functionally gradient materials technology and those involving transversely isotropic and layered microstructures, such as multi-layer systems and tribology mechanics of magnetic recording devices. Thus a unified mathematical treatment and presentation of solution methods for a wide range of mechanics models are of primary importance to both technological and economic progress.
Book Synopsis Elastic wave propagation in transversely isotropic media by : R.C. Payton
Download or read book Elastic wave propagation in transversely isotropic media written by R.C. Payton and published by Springer Science & Business Media. This book was released on 1983-10-31 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this monograph I record those parts of the theory of transverse isotropic elastic wave propagation which lend themselves to an exact treatment, within the framework of linear theory. Emphasis is placed on transient wave motion problems in two- and three-dimensional unbounded and semibounded solids for which explicit results can be obtained, without resort to approximate methods of integration. The mathematical techniques used, many of which appear here in book form for the first time, will be of interest to applied mathematicians, engeneers and scientists whose specialty includes crystal acoustics, crystal optics, magnetogasdynamics, dislocation theory, seismology and fibre wound composites. My interest in the subject of anisotropic wave motion had its origin in the study of small deformations superposed on large deformations of elastic solids. By varying the initial stretch in a homogeneously deformed solid, it is possible to synthesize aniso tropic materials whose elastic parameters vary continuously. The range of the parameter variation is limited by stability considerations in the case of small deformations super posed on large deformation problems and (what is essentially the same thing) by the of hyperbolicity (solids whose parameters allow wave motion) for anisotropic notion solids. The full implication of hyperbolicity for anisotropic elastic solids has never been previously examined, and even now the constraints which it imposes on the elasticity constants have only been examined for the class of transversely isotropic (hexagonal crystals) materials.
Book Synopsis Applied Mechanics of Solids by : Allan F. Bower
Download or read book Applied Mechanics of Solids written by Allan F. Bower and published by CRC Press. This book was released on 2009-10-05 with total page 820 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modern computer simulations make stress analysis easy. As they continue to replace classical mathematical methods of analysis, these software programs require users to have a solid understanding of the fundamental principles on which they are based.Develop Intuitive Ability to Identify and Avoid Physically Meaningless PredictionsApplied Mechanics o
Book Synopsis Static Green's Functions in Anisotropic Media by : Ernian Pan
Download or read book Static Green's Functions in Anisotropic Media written by Ernian Pan and published by Cambridge University Press. This book was released on 2015-04-30 with total page 357 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents basic theory on static Green's functions in general anisotropic magnetoelectroelastic media including detailed derivations based on the complex variable method, potential method, and integral transforms. Green's functions corresponding to the reduced cases are also presented including those in anisotropic and transversely isotropic piezoelectric and piezomagnetic media, and in purely anisotropic elastic, transversely isotropic elastic and isotropic elastic media. Problems include those in three-dimensional, (two-dimensional) infinite, half, and biomaterial spaces (planes). While the emphasis is on the Green's functions related to the line and point force, those corresponding to the important line and point dislocation are also provided and discussed. This book provides a comprehensive derivation and collection of the Green's functions in the concerned media, and as such, it is an ideal reference book for researchers and engineers, and a textbook for both students in engineering and applied mathematics.
Book Synopsis The Rock Physics Handbook by : Gary Mavko
Download or read book The Rock Physics Handbook written by Gary Mavko and published by Cambridge University Press. This book was released on 2020-01-09 with total page 741 pages. Available in PDF, EPUB and Kindle. Book excerpt: Brings together widely scattered theoretical and laboratory rock physics relations critical for modelling and interpretation of geophysical data.
Book Synopsis An Introduction to Structural Optimization by : Peter W. Christensen
Download or read book An Introduction to Structural Optimization written by Peter W. Christensen and published by Springer Science & Business Media. This book was released on 2008-10-20 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book has grown out of lectures and courses given at Linköping University, Sweden, over a period of 15 years. It gives an introductory treatment of problems and methods of structural optimization. The three basic classes of geometrical - timization problems of mechanical structures, i. e. , size, shape and topology op- mization, are treated. The focus is on concrete numerical solution methods for d- crete and (?nite element) discretized linear elastic structures. The style is explicit and practical: mathematical proofs are provided when arguments can be kept e- mentary but are otherwise only cited, while implementation details are frequently provided. Moreover, since the text has an emphasis on geometrical design problems, where the design is represented by continuously varying—frequently very many— variables, so-called ?rst order methods are central to the treatment. These methods are based on sensitivity analysis, i. e. , on establishing ?rst order derivatives for - jectives and constraints. The classical ?rst order methods that we emphasize are CONLIN and MMA, which are based on explicit, convex and separable appro- mations. It should be remarked that the classical and frequently used so-called op- mality criteria method is also of this kind. It may also be noted in this context that zero order methods such as response surface methods, surrogate models, neural n- works, genetic algorithms, etc. , essentially apply to different types of problems than the ones treated here and should be presented elsewhere.
Book Synopsis State of the Art and Future Trends in Material Modeling by : Holm Altenbach
Download or read book State of the Art and Future Trends in Material Modeling written by Holm Altenbach and published by Springer Nature. This book was released on 2019-10-23 with total page 530 pages. Available in PDF, EPUB and Kindle. Book excerpt: This special anniversary book celebrates the success of this Springer book series highlighting materials modeling as the key to developing new engineering products and applications. In this 100th volume of “Advanced Structured Materials”, international experts showcase the current state of the art and future trends in materials modeling, which is essential in order to fulfill the demanding requirements of next-generation engineering tasks.
Book Synopsis Energy Dissipation in Composite Materials by : Peter A. Zinoviev
Download or read book Energy Dissipation in Composite Materials written by Peter A. Zinoviev and published by CRC Press. This book was released on 1994-04-19 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book deals with damping or energy dissipation processes in vibrating solids. It includes information on the methods of approach to describing energy dissipation processes in materials. The book contains basic results which describe the dissipative response of anisotropic bodies and composites.
Book Synopsis Thermal Stresses—Advanced Theory and Applications by : Richard B. Hetnarski
Download or read book Thermal Stresses—Advanced Theory and Applications written by Richard B. Hetnarski and published by Springer. This book was released on 2019-04-11 with total page 657 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is an advanced modern textbook on thermal stresses. It serves a wide range of readers, in particular, graduate and postgraduate students, scientists, researchers in various industrial and government institutes, and engineers working in mechanical, civil, and aerospace engineering. This volume covers diverse areas of applied mathematics, continuum mechanics, stress analysis, and mechanical design. This work treats a number of topics not presented in other books on thermal stresses, for example: theory of coupled and generalized thermoelasticity, finite and boundary element method in generalized thermoelasticity, thermal stresses in functionally graded structures, and thermal expansions of piping systems. The book starts from basic concepts and principles, and these are developed to more advanced levels as the text progresses. Nevertheless, some basic knowledge on the part of the reader is expected in classical mechanics, stress analysis, and mathematics, including vector and cartesian tensor analysis. This 2nd enhanced edition includes a new chapter on Thermally Induced Vibrations. The method of stiffness is added to Chapter 7. The variational principle for the Green-Lindsay and Green-Naghdi models have been added to Chapter 2 and equations of motion and compatibility equations in spherical coordinates to Chapter 3. Additional problems at the end of chapters were added.
Book Synopsis Handbook of Elasticity Solutions by : Mark L. Kachanov
Download or read book Handbook of Elasticity Solutions written by Mark L. Kachanov and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt: This handbook is a collection of elasticity solutions. Many of the results presented here cannot be found in textbooks and are available in scientific articles only. Some of them were obtained in the closed form quite recently. The solutions have been thoroughly checked and reduced to a "user friendly" form. Every effort has been made to keep the book free of misprints. The theory of elasticity is a mature field and a large number of solutions are available. We had to make choices in selecting material for this book. The emphasis is made on results relevant to general solid mechanics and materials science applications. Solutions related to structural mechanics (beams, plates, shells, etc.) are left out. The content is limited to the linear elasticity.
Book Synopsis An Introduction to the Theory of Elasticity by : R. J. Atkin
Download or read book An Introduction to the Theory of Elasticity written by R. J. Atkin and published by Courier Corporation. This book was released on 2013-02-20 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: Accessible text covers deformation and stress, derivation of equations of finite elasticity, and formulation of infinitesimal elasticity with application to two- and three-dimensional static problems and elastic waves. 1980 edition.
Download or read book Nonlinear Elasticity written by Y. B. Fu and published by Cambridge University Press. This book was released on 2001-05-07 with total page 541 pages. Available in PDF, EPUB and Kindle. Book excerpt: Comprehensive introduction to nonlinear elasticity for graduates and researchers, covering new developments in the field.
Book Synopsis Nonlinear Theory of Elasticity by : Larry Alan Taber
Download or read book Nonlinear Theory of Elasticity written by Larry Alan Taber and published by World Scientific. This book was released on 2004 with total page 417 pages. Available in PDF, EPUB and Kindle. Book excerpt: Soft biological tissues often undergo large (nearly) elastic deformations that can be analyzed using the nonlinear theory of elasticity. Because of the varied approaches to nonlinear elasticity in the literature, some aspects of the subject may be difficult to appreciate. This book attempts to clarify and unify those treatments, illustrating the advantages and disadvantages of each through various examples in the mechanics of soft tissues. Applications include muscle, arteries, the heart, and embryonic tissues.
Book Synopsis Nonlinear Problems of Elasticity by : Stuart Antman
Download or read book Nonlinear Problems of Elasticity written by Stuart Antman and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 762 pages. Available in PDF, EPUB and Kindle. Book excerpt: The scientists of the seventeenth and eighteenth centuries, led by Jas. Bernoulli and Euler, created a coherent theory of the mechanics of strings and rods undergoing planar deformations. They introduced the basic con cepts of strain, both extensional and flexural, of contact force with its com ponents of tension and shear force, and of contact couple. They extended Newton's Law of Motion for a mass point to a law valid for any deformable body. Euler formulated its independent and much subtler complement, the Angular Momentum Principle. (Euler also gave effective variational characterizations of the governing equations. ) These scientists breathed life into the theory by proposing, formulating, and solving the problems of the suspension bridge, the catenary, the velaria, the elastica, and the small transverse vibrations of an elastic string. (The level of difficulty of some of these problems is such that even today their descriptions are sel dom vouchsafed to undergraduates. The realization that such profound and beautiful results could be deduced by mathematical reasoning from fundamental physical principles furnished a significant contribution to the intellectual climate of the Age of Reason. ) At first, those who solved these problems did not distinguish between linear and nonlinear equations, and so were not intimidated by the latter. By the middle of the nineteenth century, Cauchy had constructed the basic framework of three-dimensional continuum mechanics on the founda tions built by his eighteenth-century predecessors.
Book Synopsis Linear and Non-Linear Deformations of Elastic Solids by : Arabinda Roy
Download or read book Linear and Non-Linear Deformations of Elastic Solids written by Arabinda Roy and published by CRC Press. This book was released on 2019-12-06 with total page 407 pages. Available in PDF, EPUB and Kindle. Book excerpt: Linear and Non-Linear Deformations of Elastic Solids aims to compile the advances in the field of linear and non-linear elasticity through discussion of advanced topics. Broadly classified into two parts, it includes crack, contact, scattering and wave propagation in linear elastic solids and bending vibration, stability in non-linear elastic solids supported by MATLAB examples. This book is aimed at graduate students and researchers in applied mathematics, solid mechanics, applied mechanics, structural mechanics and includes comprehensive discussion of related analytical/numerical methods.
Book Synopsis Non-Linear Theory of Elasticity by : A.I. Lurie
Download or read book Non-Linear Theory of Elasticity written by A.I. Lurie and published by Elsevier. This book was released on 2012-12-02 with total page 632 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book examines in detail the Theory of Elasticity which is a branch of the mechanics of a deformable solid. Special emphasis is placed on the investigation of the process of deformation within the framework of the generally accepted model of a medium which, in this case, is an elastic body. A comprehensive list of Appendices is included providing a wealth of references for more in depth coverage. The work will provide both a stimulus for future research in this field as well as useful reference material for many years to come.
Book Synopsis Mechanics of Textile and Laminated Composites by : A. Bogdanovich
Download or read book Mechanics of Textile and Laminated Composites written by A. Bogdanovich and published by Springer Science & Business Media. This book was released on 1996-08-31 with total page 594 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mechanics of Textile and Laminated Composites is in three parts. The first part (Chapters 1 and 2) covers the fundamental issues of 3-D theory of elasticity and presents the theory of elasticity of an anisotropic body with comprehensive analysis of its specific cases. The second part (Chapters 3-5) presents the theoretical and experimental characterization of the elastic properties of unidirectional, textile and layered composite materials. The final part (Chapters 6 and 7) addresses the problems of 3-D stress analysis in laminated and textile composite structures. Major emphasis is placed on textile composites, perhaps the most complex and at the same time most promising group of composite materials. One of the most important features of this book is that it provides accurate and efficient 3-D analysis of laminated and textile reinforced structures, using novel methods. It has become more and more evident in recent years that, in many practical design situations, such full-scale 3-D analyses are required. Researchers, designers and engineers working with composite materials and structures will find this book an invaluable addition to their libraries.
