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Elasticity

  • Textbook
  • © 2004

Overview

Authors:
  1. J. R. Barber

    1. Department of Mechanical Engineering, University of Michigan, Ann Arbor, USA

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Part of the book series: Solid Mechanics and Its Applications (SMIA, volume 107)

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Table of contents (30 chapters)

  1. Front Matter

    Pages i-xix
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  2. General Considerations

    1. Front Matter

      Pages 1-1
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    2. Introduction

      Pages 3-21

    3. Equilibrium and Compatibility

      Pages 23-30

  3. Two-Dimensional Problems

    1. Front Matter

      Pages 31-31
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    2. Plane Strain and Plane Stress

      Pages 33-40

    3. Stress Function Formulation

      Pages 41-47

    4. Problems in Rectangular Coördinates

      Pages 49-70

    5. End Effects

      Pages 71-78

    6. Body Forces

      Pages 79-96

    7. Problems in Polar Coördinates

      Pages 97-110

    8. Calculation of Displacements

      Pages 111-122

    9. Curved Beam Problems

      Pages 123-136

    10. Wedge Problems

      Pages 137-156

    11. Plane Contact Problems

      Pages 157-183

    12. Forces, Dislocations and Cracks

      Pages 185-200

    13. Thermoelasticity

      Pages 201-207

    14. Antiplane Shear

      Pages 209-217

  4. End Loading of the Prismatic Bar

    1. Front Matter

      Pages 219-219
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    2. Torsion of a Prismatic Bar

      Pages 223-238
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About this book

Since the first edition of this book was published, there have been major improve- ™ ™ ments in symbolic mathematical languages such as Maple and Mathematica and this has opened up the possibility of solving considerably more complex and hence interesting and realistic elasticity problems as classroomexamples. It also enables the student to focus on the formulation of the problem (e. g. the appropriate governing equations and boundary conditions) rather than on the algebraic manipulations, with a consequent improvement in insight into the subject and in motivation. During the past 10 years I have developed files in Maple and Mathematica to facilitate this p- cess, notably electronic versions of the Tables in the present Chapters 19 and 20 and of the recurrence relations for generating spherical harmonics. One purpose of this new edition is to make this electronic material available to the reader through the Kluwer website www. elasticity. org. I hope that readers will make use of this resource and report back to me any aspects of the electronic material that could benefit from improvement or extension. Some hints about the use of this material are contained in Appendix A. Those who have never used Maple or Mathematica will find that it takes only a few hours of trial and error to learn how to write programs to solve boundary value problems in elasticity.

Authors and Affiliations

  • Department of Mechanical Engineering, University of Michigan, Ann Arbor, USA

    J. R. Barber

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