• J. R.  Barber

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

Table of contents

  1. Front Matter
    Pages 1-18
  2. General Considerations

    1. Front Matter
      Pages 1-1
    2. J. R. Barber
      Pages 3-24
    3. J. R. Barber
      Pages 25-33
  3. Two-Dimensional Problems

    1. Front Matter
      Pages 36-36
    2. J. R. Barber
      Pages 37-44
    3. J. R. Barber
      Pages 45-53
    4. J. R. Barber
      Pages 55-76
    5. J. R. Barber
      Pages 77-89
    6. J. R. Barber
      Pages 91-108
    7. J. R. Barber
      Pages 109-122
    8. J. R. Barber
      Pages 123-134
    9. J. R. Barber
      Pages 135-148
    10. J. R. Barber
      Pages 149-170
    11. J. R. Barber
      Pages 171-198
    12. J. R. Barber
      Pages 199-218
    13. J. R. Barber
      Pages 219-225
    14. J. R. Barber
      Pages 227-235
  4. End Loading of the Prismatic Bar

    1. Front Matter
      Pages 238-240
    2. J. R. Barber
      Pages 241-257

About this book


This is a first year graduate textbook in Linear Elasticity. It is written with the practical engineering reader in mind, dependence on previous knowledge of solid mechanics, continuum mechanics or mathematics being minimized. 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.

This third edition includes new chapters on complex variable methods, variational methods and three-dimensional solutions for the prismatic bar. Other detailed changes have been made throughout the work, many suggested by users of earlier editions.

The new edition includes over 300 end-of-chapter problems, expressed wherever possible in the form they would arise in engineering - i.e. 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. Solution of these problems is considerably facilitated by the use of modern symbolic mathematical languages such as Maple and Mathematica. Electronic files and hints on this method of solution, as well as further supplementary software are available for download via the webpage for this volume on www.springer.com.


Elasticity Maple Transformation operator solid mechanics stress analysis textbook

Authors and affiliations

  • J. R.  Barber
    • 1
  1. 1.Dept. Mechanical Engineering &University of MichiganAnn ArborU.S.A.

Bibliographic information

  • DOI https://doi.org/10.1007/978-90-481-3809-8
  • Copyright Information Springer Science+Business Media B.V. 2010
  • Publisher Name Springer, Dordrecht
  • eBook Packages Engineering
  • Print ISBN 978-90-481-3808-1
  • Online ISBN 978-90-481-3809-8
  • Series Print ISSN 0925-0042
  • About this book