Overview

This is a first-year graduate textbook on linear elasticity, based on a one-semester course taught by the author at the University of Michigan. It is written with the practical engineering reader in mind, with dependence on previous knowledge of solid mechanics, continuum mechanics or mathematics being minimized. Most of the text should be readily intelligible to a reader with an undergraduate background of one or two courses in elementary strength of materials and a rudimentary knowledge of partial differentiation. Throughout, emphasis is placed on engineering applications of elasticity and examples are generally worked through to final expressions for the stress and displacement fields in order to explore the engineering consequences of the results. The topics covered are chosen with a view to modern research applications in fracture mechanics, composite materials, tribology and numerical methods. Thus, significant attention is given to crack and contact problems, problems involving interfaces between dissimilar media, thermoelasticity, singular asymptotic stress fields and three-dimensional problems. Problems suitable for class use are included at the end of most of the chapters. These are expressed wherever possible in the form in which they would arise in engineering - ie as a body of a given geometry subjected to prescribed loading - instead of inviting the student to ""verify"" that a given candidate stress function is appropriate to the problem. The text is therefore written in such a way as to enable the student to approach such problems deductively.

Full Product Details

Author:   J.R. Barber
Publisher:   Springer
Imprint:   Springer
Edition:   Softcover reprint of the original 1st ed. 1992
Volume:   12
Dimensions:   Width: 16.00cm , Height: 1.70cm , Length: 24.00cm
Weight:   1.010kg
ISBN:  

9780792316107

ISBN 10:   079231610
Pages:   301
Publication Date:   30 June 1993
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print  
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Table of Contents

I General Considerations.- 1 Introduction.- 2 Equilibrium and Compatibility.- II Two-Dimensional Problems.- 3 Plane Strain and Plane Stress.- 4 Stress Function Formulation.- 5 Problems in Rectangular Coördinates.- 6 End Effects.- 7 Body Forces.- 8 Problems in Polar Coördinates.- 9 Calculation of Displacements.- 10 Curved Beam Problems.- 11 Wedge Problems.- 12 Plane Contact Problems.- 13 Forces, Dislocations and Cracks.- 14 Thermoelasticity.- III Three Dimensional Problems.- 15 Displacement Function Solutions.- 16 The Boussinesq Potentials.- 17 Thermoelastic Displacement Potentials.- 18 Singular Solutions.- 19 Spherical Harmonics.- 20 Axisymmetric Problems.- 21 Frictionless Contact.- 22 The Boundary-Value Problem.- 23 The Penny-Shaped Crack.- 24 The Interface Crack.- 25 The Reciprocal Theorem.

Reviews

'...this book is a very good addition to the available literature on elasticity and can be used as a textbook for the first year graduate course on linear elasticity.' Applied Mechanics Reviews, 45:12 (1992)

'...this book is a very good addition to the available literature on elasticity and can be used as a textbook for the first year graduate course on linear elasticity.' Applied Mechanics Reviews, 45: 12 (1992)

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