Books in Elasticity

Elasticity

4th Edition
March 25, 2020
Martin H. Sadd
English
Paperback
9 7 8 0 1 2 8 1 5 9 8 7 3
eBook
9 7 8 0 1 2 8 1 5 9 8 8 0

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

1st Edition
Volume 35
June 20, 2018
F. McCarthy + 1 more
English
eBook
9 7 8 1 4 8 3 2 9 0 6 6 9

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-electroelastic 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

1st Edition
Volume 3
February 1, 2017
J. Necas + 1 more
English
eBook
9 7 8 1 4 8 3 2 9 1 9 1 8

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

1st Edition
August 11, 2015
D F MOORE
English
eBook
9 7 8 1 4 8 3 2 9 2 0 4 5

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

1st Edition
May 12, 2014
E. H. Mansfield
R. L. Bisplinghoff + 1 more
English
eBook
9 7 8 1 4 8 3 2 2 2 6 6 0

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

3rd Edition
January 22, 2014
Martin H. Sadd
English
eBook
9 7 8 0 1 2 4 1 0 4 3 2 7

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.

Stability, Bifurcation and Postcritical Behaviour of Elastic Structures

1st Edition
Volume 39
October 22, 2013
M. Pignataro + 2 more
English
eBook
9 7 8 1 4 8 3 2 9 0 8 3 6

A comprehensive and systematic analysis of elastic structural stability is presented in this volume. Traditional engineering buckling concepts are discussed in the framework of the Liapunov theory of stability by giving an extensive review of the Koiter approach. The perturbation method for both nonlinear algebraic and differential equations is discussed and adopted as the main tool for postbuckling analysis. The formulation of the buckling problem for the most common engineering structures - rods and frames, plates, shells, and thin-walled beams, is performed and the critical load evaluated for problems of interest. In many cases the postbuckling analysis up to the second order is presented. The use of the Ritz-Galerkin and of the finite element methods is examined as a tool for approximate bifurcation analysis. The volume will provide an up-to-date introduction for non-specialists in elastic stability theory and methods, and is intended for graduate and post-graduate students and researchers interested in nonlinear structural analysis problems. Basic prerequisites are kept to a minimum, a familiarity with elementary algebra and calculus is all that is required of readers to make use of this book.

Mechanics of Elastic Contacts

1st Edition
October 22, 2013
A. SACKFIELD + 2 more
English
eBook
9 7 8 1 4 8 3 2 9 1 9 4 9

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 Science and Technology of Rubber

4th Edition
April 25, 2013
James E. Mark + 2 more
English
Hardback
9 7 8 0 1 2 3 9 4 5 8 4 6

The 4e of The Science and Technology of Rubber provides a broad survey of elastomers with special emphasis on materials with a rubber-like elasticity. As in previous editions, the emphasis remains on a unified treatment of the material, exploring chemical aspects such as elastomer synthesis and curing, through recent theoretical developments and characterization of equilibrium and dynamic properties, to the final applications of rubber, including tire engineering and manufacturing. Updated material stresses the continuous relationship between ongoing research in synthesis, physics, structure and mechanics of rubber technology and industrial applications. Special attention is paid to recent advances in rubber-like elasticity theory and new processing techniques for elastomers. Exciting new developments in green tire manufacturing and tire recycling are covered.

Non-Linear Theory of Elasticity

1st Edition
Volume 36
December 2, 2012
A.I. Lurie
English
eBook
9 7 8 0 4 4 4 5 9 7 2 3 6

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.

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Books in Elasticity

Elasticity

Elastic Wave Propagation

Mathematical Theory of Elastic and Elasto-Plastic Bodies

Viscoelastic Machine Elements

The Bending and Stretching of Plates

Elasticity

Stability, Bifurcation and Postcritical Behaviour of Elastic Structures

Mechanics of Elastic Contacts

The Science and Technology of Rubber

Non-Linear Theory of Elasticity