Elasticity

  • J. R. Barber

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

Table of contents

  1. Front Matter
    Pages i-xix
  2. General Considerations

    1. Front Matter
      Pages 1-1
    2. Pages 3-21
  3. Two-Dimensional Problems

    1. Front Matter
      Pages 31-31
    2. Pages 71-78
    3. Pages 79-96
    4. Pages 123-136
    5. Pages 137-156
    6. Pages 157-183
    7. Pages 201-207
    8. Pages 209-217
  4. End Loading of the Prismatic Bar

    1. Front Matter
      Pages 219-219

About this book

Introduction

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.

Keywords

Maple Mathematica composite material continuum mechanics elasticity fracture fracture mechanics friction geometry mechanics numerical methods stress thermoelasticity torsion

Authors and affiliations

  • J. R. Barber
    • 1
  1. 1.Department of Mechanical EngineeringUniversity of MichiganAnn ArborUSA

Bibliographic information

  • DOI https://doi.org/10.1007/0-306-48395-5
  • Copyright Information Kluwer Academic Publishers 2004
  • Publisher Name Springer, Dordrecht
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4020-0966-2
  • Online ISBN 978-0-306-48395-0
  • Series Print ISSN 0925-0042
  • About this book