Solid Mechanics and Its Applications

Elasticity

Authors: Barber, James

  • 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
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About this Textbook

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.

Table of contents (34 chapters)

  • Introduction

    Barber, J. R.

    Pages 3-24

  • Equilibrium and Compatibility

    Barber, J. R.

    Pages 25-33

  • Plane Strain and Plane Stress

    Barber, J. R.

    Pages 37-44

  • Stress Function Formulation

    Barber, J. R.

    Pages 45-53

  • Problems in Rectangular Coördinates

    Barber, J. R.

    Pages 55-76

Buy this book

eBook n/a
  • ISBN 978-90-481-3809-8
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
Hardcover n/a
  • ISBN 978-90-481-3808-1
  • Free shipping for individuals worldwide
Softcover n/a
  • ISBN 978-94-007-3101-1
  • Free shipping for individuals worldwide
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Bibliographic Information

Bibliographic Information
Book Title
Elasticity
Authors
Series Title
Solid Mechanics and Its Applications
Series Volume
172
Copyright
2010
Publisher
Springer Netherlands
Copyright Holder
Springer Science+Business Media B.V.
eBook ISBN
978-90-481-3809-8
DOI
10.1007/978-90-481-3809-8
Hardcover ISBN
978-90-481-3808-1
Softcover ISBN
978-94-007-3101-1
Series ISSN
0925-0042
Edition Number
3
Number of Pages
XIX, 534
Topics