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Books in Elasticity

  • Elasticity

    Theory, Applications, and Numerics
    • 4th Edition
    • Martin H. Sadd
    • English
    Elasticity: Theory, Applications, and Numerics, Fourth Edition, continues its market-leading tradition of concisely presenting and developing the linear theory of elasticity, moving from solution methodologies, formulations, and strategies into applications of contemporary interest, such as fracture mechanics, anisotropic and composite materials, micromechanics, nonhomogeneous graded materials, and computational methods. Developed for a one- or two-semester graduate elasticity course, this new edition has been revised with new worked examples and exercises, and new or expanded coverage of areas such as treatment of large deformations, fracture mechanics, strain gradient and surface elasticity theory, and tensor analysis. Using MATLAB software, numerical activities in the text are integrated with analytical problem solutions. Online ancillary support materials for instructors include a solutions manual, image bank, and a set of PowerPoint lecture slides.
  • Elastic Wave Propagation

    Proceedings of the Second I.U.T.A.M. - I.U.P.A.P., Symposium on Elastic Wave Propagation, Galway, Ireland, March 20-25, 1988
    • 1st Edition
    • Volume 35
    • F. McCarthy + 1 more
    • English
    This volume contains a timely collection of research papers on the latest developments in the ever-increasing use of elastic waves in a variety of contexts. There are reports on wave-propagation in various types of media: in both isotropic and anisotropic bodies; in homogeneous and inhomogeneous media; in media with cracks or inclusions in random media; and in layered composites.The bulk of the papers are concerned with propagation in elastic media, but also included are viscoelastic, thermoelastic and magneto-electroelast... wave propagation, as well as waves in porous and piezo-electric bodies. Consideration is given to propagation in bodies as diverse as stretched elastic strings to surfaces such as thin walled cylinders, and thin films under stress. Applications considered include the determination of the depth of cracks; analysis of ground motions generated by a finite fault in seismology; surface wave spreading on piezo-electric solids; and dynamical stress intensity factors. Most of the papers are theoretical in nature, and many are complemented by numerical studies. Also included are a general survey on experimental techniques, and reports on experimental work.The volume will be of interest to those who do theoretical studies of elastic wave propagation and to those who apply elastic waves whether in seismology, non-destructive testing, the fabrication of devices or underwater acoustics, etc.
  • Mathematical Theory of Elastic and Elasto-Plastic Bodies

    An Introduction
    • 1st Edition
    • Volume 3
    • J. Necas + 1 more
    • English
    The book acquaints the reader with the basic concepts and relations of elasticity and plasticity, and also with the contemporary state of the theory, covering such aspects as the nonlinear models of elasto-plastic bodies and of large deflections of plates, unilateral boundary value problems, variational principles, the finite element method, and so on.
  • Viscoelastic Machine Elements

    Elastomers and Lubricants in Machine Systems
    • 1st Edition
    • D F MOORE
    • English
    Viscoelastic Machine Elements, which encompass elastomeric elements (rubber-like components), fluidic elements (lubricating squeeze films) and their combinations, are used for absorbing vibration, reducing friction and improving energy use. Examplesinclude pneumatic tyres, oil and lip seals, compliant bearings and races, and thin films. This book sets out to show that these elements can be incorporated in machine analysis, just as in the case of conventional elements (e.g. gears, cogs, chaindrives, bearings). This is achieved by introducing elementary theory and models, by describing new and established experimental techniques for determining viscoelastic properties, and finally by working through actual examples. 'This very reasonablypriced book is full of valuable information not readily available from other sources on a subject which is the eminent author's speciality.' - Industrial Lubrication and Tribology, April 1995
  • Elasticity

    Theory, Applications, and Numerics
    • 3rd Edition
    • Martin H. Sadd
    • English
    Elasticity: Theory, Applications, and Numerics, Third Edition, continues its market-leading tradition of concisely presenting and developing the linear theory of elasticity, moving from solution methodologies, formulations, and strategies into applications of contemporary interest, such as fracture mechanics, anisotropic and composite materials, micromechanics, nonhomogeneous graded materials, and computational methods. Developed for a one- or two-semester graduate elasticity course, this new edition has been revised with new worked examples and exercises, and new or expanded coverage of areas such as spherical anisotropy, stress contours, isochromatics, isoclinics, and stress trajectories. Using MATLAB software, numerical activities in the text are integrated with analytical problem solutions. These numerics aid in particular calculations, graphically present stress and displacement solutions to problems of interest, and conduct simple finite element calculations, enabling comparisons with previously studied analytical solutions. Online ancillary support materials for instructors include a solutions manual, image bank, and a set of PowerPoint lecture slides.
  • Mechanics of Elastic Contacts

    • 1st Edition
    • A. SACKFIELD + 2 more
    • English
    Materials and mechanical engineering researchers studying wear, fretting, elastic indentation testing and other tribological processes frequently need closed-form solutions for various attributes of contacts. These characteristics include contact law, pressure distribution, internal state of stress induced and the influence of friction. Materials and mechanical engineering researchers studying wear, fretting, elastic indentation testing and other tribological processes frequently need closed-form solutions for various attributes of contacts. These characteristics include contact law, pressure distribution, internal state of stress induced and the influence of friction. These solutions, scattered throughout the applied mechanics literature, are difficult to locate, are presented using a range of solution techniques, and expressresults in a way that is suitable only for experts in the field. `Mechanics of Elastic Contacts' uses a consistent set of recipes for the solution of all relevant problems, presents results in the simplest possible forms, and contains summaries usingtabulated data. This reference source will provide a clear guide to elastic contacts for engineering designers, materials scientists and tribologists irrespective of their level of expertise in this important subject.
  • The Theory of Elastic Waves and Waveguides

    • 1st Edition
    • Volume 22
    • J. Miklowitz
    • English
    The primary objective of this book is to give the reader a basic understanding of waves and their propagation in a linear elastic continuum. The studies of elastodynamic theory and its application to fundamental value problems should prepare the reader to tackle many physical problems of general interest in engineering and geophysics, and of particular interest in mechanics and seismology.
  • Non-Linear Theory of Elasticity

    • 1st Edition
    • Volume 36
    • A.I. Lurie
    • English
    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.
  • Shakedown of Elastic-Plastic Structures

    • 1st Edition
    • J.A. König
    • English
    In this book, the author has collected existing information on the analysis of elastic-plastic structures subjected to variable repeated loads and to variable temperature fields. He presents the foundations of the theory and its applications to the shakedown analysis of structures of various types and to computational algorithms.The book provides useful and interesting material for students of civil and mechanical engineering, practising engineers with a good mathematical background and also scientists concerned with the analysis of inelastic structures.
  • Three-Dimensional Problems of Elasticity and Thermoelasticity

    • 1st Edition
    • Volume 25
    • V.D. Kupradze
    • English
    North-Holland Series in Applied Mathematics and Mechanics, Volume 25: Three-Dimensional Problems of the Mathematical Theory of Elasticity and Thermoelasticity focuses on the theory of three-dimensional problems, including oscillation theory, boundary value problems, and integral equations. The publication first tackles basic concepts and axiomatization and basic singular solutions. Discussions focus on fundamental solutions of thermoelasticity, fundamental solutions of the couple-stress theory, strain energy and Hooke’s law in the couple-stress theory, and basic equations in terms of stress components. The manuscript then examines uniqueness theorems and singular integrals and integral equations. The book ponders on the potential theory and boundary value problems of elastic equilibrium and steady elastic oscillations. Topics include basic theorems of the oscillation theory, existence of solutions of boundary value problems, integral equations of the boundary value problems, and boundary properties of potential-type integrals. The publication also reviews mixed dynamic problems, couple-stress elasticity, and boundary value problems for media bounded by several surfaces. The text is a dependable source of data for mathematicians and readers interested in three-dimensional problems of the mathematical theory of elasticity and thermoelasticity.
  • Boundary Layer Flow over Elastic Surfaces

    Compliant Surfaces and Combined Methods for Marine Vessel Drag Reduction
    • 1st Edition
    • Viktor V. Babenko + 2 more
    • English
    While other methods of drag reduction are well-known in marine R&D and ship design environments worldwide, compliant coating drag reduction remains less well-known and poorly understood. This important book presents cutting-edge techniques and findings from research sources not generally accessible by Western researchers and engineers, aiding the application and further development of this potentially important technology. Beginning with an introduction to drag reduction that places the authors’ work on elastic surfaces and combined techniques in context, the book moves on to provide a comprehensive study of drag reduction through elastic coating with both flow and material properties considered. Coverage includes: Experimental findings around coherent vortical structures (CVS) in turbulent boundary layers and methods of controlling them Static and dynamic mechanical characteristics of elastic composite coatings, as well as new techniques and devices developed for their measurement Combined methods of flow control and drag reduction, including the effect of injection of polymer solutions, elastic coatings and generated longitudinal vortical structures on hydrodynamic resistance Intended as a reference for senior engineers and researchers concerned with the drag reduction and the dynamics of turbulent boundary layer flows, Boundary Layer Flow over Elastic Surfaces provides a unique source of information on compliant surface drag reduction and the experimental techniques around it that have shown measurable and repeatable improvements over recent years. This compilation of research findings and new techniques developed for measurement will aid R&D engineers, naval architects and senior designers in their quest to achieve drag reductions that will deliver significant efficiency savings.
  • Elasticity

    Theory, Applications, and Numerics
    • 1st Edition
    • Martin H. Sadd
    • English
    Although there are several books in print dealing with elasticity, many focus on specialized topics such as mathematical foundations, anisotropic materials, two-dimensional problems, thermoelasticity, non-linear theory, etc. As such they are not appropriate candidates for a general textbook. This book provides a concise and organized presentation and development of general theory of elasticity. This text is an excellent book teaching guide.
  • Elasticity

    Theory, Applications, and Numerics
    • 2nd Edition
    • Martin H. Sadd
    • English
    Elasticity: Theory, Applications and Numerics Second Edition provides a concise and organized presentation and development of the theory of elasticity, moving from solution methodologies, formulations and strategies into applications of contemporary interest, including fracture mechanics, anisotropic/composit... materials, micromechanics and computational methods. Developed as a text for a one- or two-semester graduate elasticity course, this new edition is the only elasticity text to provide coverage in the new area of non-homogenous, or graded, material behavior. Extensive end-of-chapter exercises throughout the book are fully incorporated with the use of MATLAB software.
  • Elastic Beams and Frames

    • 2nd Edition
    • J D Renton
    • English
    The book approaches the basic theory of structures from a different perspective from standard pedagogy. There is consideration of work and energy concepts as fundamental and the equations of statics derived from them. Likewise, these concepts, together with that of the characteristic response, are used in the derivation of beam theory. Plane sections remaining plane is then seen as a particular result for isotropic, homogeneous, prismatic beams. The general theory may still be used where none of these conditions holds, and can even be applied to trusses. It also corrects errors in the theory of beam shear. Special topics discussed include non-uniform torsion, the exact analysis of shear, anisotropy, advanced energy methods, optimum structures, and regular frames. Software provided in the book includes seven general purpose programs for analysis of plane, space frames with rigid or pinned joints, and uses the augmented Gaussian elimination process and dynamic storage techniques.
  • Analysis of Composite Structures

    • 1st Edition
    • Christian Decolon
    • English
    This book provides the basis for calculations of composite structures, using continuum mechanics to facilitate the treatment of more elaborate theories. A composite structure combines traditional materials (such as concrete) with new materials (such as high performance fibres) to explore and develop new structures. The author deals with individual layers in laminate composites, discussing the basic laws that govern mixtures.
  • Inverse Problems in Engineering Mechanics

    • 1st Edition
    • Masataka Tanaka + 1 more
    • English
    Inverse problems can be found in many topics of engineering mechanics. There are many successful applications in the fields of inverse problems (non-destructive testing and characterization of material properties by ultrasonic or X-ray techniques, thermography, etc.). Generally speaking, the inverse problems are concerned with the determination of the input and the characteristics of a mechanical system from some of the output from the system. Mathematically, such problems are ill-posed and have to be overcome through development of new computational schemes, regularization techniques, objective functionals, and experimental procedures.Seventy-t... papers were presented at the International Symposium on Inverse Problems in Mechanics (ISIP '98) held in March of 1998 in Nagano, where recent developments in the inverse problems in engineering mechanics and related topics were discussed. The main themes were: mathematical and computational aspects of the inverse problems, parameter or system identification, shape determination, sensitivity analysis, optimization, material property characterization, ultrasonic non-destructive testing, elastodynamic inverse problems, thermal inverse problems, and other engineering applications.
  • Viscoelastic Structures

    Mechanics of Growth and Aging
    • 1st Edition
    • Aleksey D. Drozdov
    • English
    Viscoelastic Structures covers the four basic problems in the mechanics of viscoelastic solids and structural members: construction of constitutive models for the description of thermoviscoelastic behavior of polymers; mathematical modeling of manufacturing advanced composite materials; optimal-design of structural members and technological processes of their fabrication; and stability analysis for thin-walled structural members driven by time-varying loads.This book familiarizes the reader with state-of-the-art mathematical models for advanced materials and processes, and demonstrates their applications in modeling and simulating specific manufacturing processes. Viscoelastic Structures also demonstrates the effects of material, geometrical, and technological parameters on the characteristic features of viscoelastic structures.
  • Three-Dimensional Elasticity

    • 1st Edition
    • Volume 20
    • English
    This volume is a thorough introduction to contemporary research in elasticity, and may be used as a working textbook at the graduate level for courses in pure or applied mathematics or in continuum mechanics. It provides a thorough description (with emphasis on the nonlinear aspects) of the two competing mathematical models of three-dimensional elasticity, together with a mathematical analysis of these models. The book is as self-contained as possible.
  • Elastic Stability of Circular Cylindrical Shells

    • 1st Edition
    • Volume 27
    • N. Yamaki
    • English
    The object of this book is to clarify the whole aspect of the basic problems concerning the elastic stability of of circular cylindrical shells under typical loading conditions. The book deals with buckling, postbuckling and initial postbuckling problems under one of the three fundamental loads, that is, torsion, pressure and compression. The emphases are placed on the accurate analysis and comprehensive numeral results for the buckling problem, experimental verification of the theoretical analysis for the postbuckling problem and clarification of the range of applicability of the perturbation method for the analysis of initial postbuckling behaviors and imperfection sensitivity. The problems under typical combined loads as well as the influence of the contained liquid are also clarified.
  • An Introduction to Continuum Mechanics

    • 1st Edition
    • Volume 158
    • Morton E. Gurtin
    • English
    This book presents an introduction to the classical theories of continuum mechanics; in particular, to the theories of ideal, compressible, and viscous fluids, and to the linear and nonlinear theories of elasticity. These theories are important, not only because they are applicable to a majority of the problems in continuum mechanics arising in practice, but because they form a solid base upon which one can readily construct more complex theories of material behavior. Further, although attention is limited to the classical theories, the treatment is modern with a major emphasis on foundations and structure