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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.

  • 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

  • The Bending and Stretching of Plates

    International Series of Monographs on Aeronautics and Astronautics: Solid and Structural Mechanics, Vol. 6
    • 1st Edition
    • E. H. Mansfield
    • R. L. Bisplinghoff + 1 more
    • English
    The Bending and Stretching of Plates deals with elastic plate theory, particularly on small- and large-deflexion theory. Small-deflexion theory concerns derivation of basic equations, rectangular plates, plates of various shapes, plates whose boundaries are amenable to conformal transformation, plates with variable rigidity, and approximate methods. Large-deflexion theory includes general equations and some exact solutions, approximate methods in large-deflexion theory, asymptotic large-deflexion theories for very thin plates. Asymptotic theories covers membrane theory, tension field theory, and inextensional theory. The book explains stress-strain relations, effect of forces in the plane of the plate, and rectangular plates that have all edges simply supported, or where plates that have all edges clamped. The text also considers plates of constant thickness whose boundaries are circular, sector-shaped, elliptical, or triangular. Muskhelishvili (1933) addresses boundary value problems of plane stress using analytical methods of the biharmonic equation. The book also investigates some approximate methods of analysis of large-deflexion behavior of plates of constant thickness where there is either a uniformly distributed load, or a compressive load in the plane of the plate in excess of that necessary to cause initial buckling. The book explains that the engineer can use the principle of minimum potential energy to investigate large deflexion of plates. The text is suitable for structural engineers in civil, mechanical or marine engineering, as well as to structural research workers and students.

  • 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.

  • 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.

  • 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.

  • 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.

  • 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.