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Elasticity

  • Textbook
  • © 2010

Overview

Authors:
  1. J. R. Barber

    1. Dept. Mechanical Engineering &, University of Michigan, Ann Arbor, U.S.A.

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  • Expansion of topics to include more on complex variable methods, variational methods and three-dimensional plate and beam solutions
  • Additional end-of-chapter problems
  • Detailed improvements elsewhere, some suggested by users of the earlier editions
  • Modern treatment of the subject
  • Clarity of presentation
  • Supplementary electronic files in Mathematica and Maple available for download
  • Includes supplementary material: sn.pub/extras

Part of the book series: Solid Mechanics and Its Applications (SMIA, volume 172)

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Table of contents (34 chapters)

  1. Front Matter

    Pages 1-18
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  2. General Considerations

    1. Front Matter

      Pages 1-1
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  3. GENERAL CONSIDERATIONS

    1. Introduction

      • J. R. Barber
      Pages 3-24

    2. Equilibrium and Compatibility

      • J. R. Barber
      Pages 25-33

  4. Two-Dimensional Problems

    1. Front Matter

      Pages 36-36
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  5. TWO-DIMENSIONAL PROBLEMS

    1. Plane Strain and Plane Stress

      • J. R. Barber
      Pages 37-44

    2. Stress Function Formulation

      • J. R. Barber
      Pages 45-53

    3. Problems in Rectangular Coördinates

      • J. R. Barber
      Pages 55-76

    4. End Effects

      • J. R. Barber
      Pages 77-89

    5. Body Forces

      • J. R. Barber
      Pages 91-108

    6. Problems in Polar Coördinates

      • J. R. Barber
      Pages 109-122

    7. Calculation of Displacements

      • J. R. Barber
      Pages 123-134

    8. Curved Beam Problems

      • J. R. Barber
      Pages 135-148

    9. Wedge Problems

      • J. R. Barber
      Pages 149-170

    10. Plane Contact Problems

      • J. R. Barber
      Pages 171-198

    11. Forces, Dislocations and Cracks

      • J. R. Barber
      Pages 199-218

    12. Thermoelasticity

      • J. R. Barber
      Pages 219-225

    13. Antiplane Shear

      • J. R. Barber
      Pages 227-235

  6. End Loading of the Prismatic Bar

    1. Front Matter

      Pages 238-240
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  7. END LOADING OF THE PRISMATIC BAR

    1. Torsion of a Prismatic Bar

      • J. R. Barber
      Pages 241-257
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Keywords

About this book

The subject of Elasticity can be approached from several points of view, - pending on whether the practitioner is principally interested in the mat- matical structure of the subject or in its use in engineering applications and, in the latter case, whether essentially numerical or analytical methods are envisaged as the solution method. My ?rst introduction to the subject was in response to a need for information about a speci?c problem in Tribology. As a practising Engineer with a background only in elementary Mechanics of - terials, I approached that problem initially using the concepts of concentrated forces and superposition. Today, with a rather more extensive knowledge of analytical techniques in Elasticity, I still ?nd it helpful to go back to these roots in the elementary theory and think through a problem physically as well as mathematically, whenever some new and unexpected feature presents di?culties in research. This way of thinking will be found to permeate this book. My engineering background will also reveal itself in a tendency to work examples through to ?nal expressions for stresses and displacements, rather than leave the derivation at a point where the remaining manipulations would be mathematically routine. The ?rst edition of this book, published in 1992, was based on a one semester graduate course on Linear Elasticity that I have taught at the U- versity of Michigan since 1983.

Authors and Affiliations

  • Dept. Mechanical Engineering &, University of Michigan, Ann Arbor, U.S.A.

    J. R. Barber

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